qlog (example 3.10)

Time bar (total: 13.9s)

analyze553.0ms (4%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
0%0%50%50%0%0%0%2
0%0%50%50%0%0%0%3
0%0%50%50%0%0%0%4
0%0%50%50%0%0%0%5
0%0%50%50%0%0%0%6
3.1%1.6%48.4%50%0%0%0%7
6.3%3.1%46.8%50%0%0%0%8
7%3.5%46.4%50%0%0%0%9
7.4%3.7%46.2%50%0%0%0%10
7.8%3.9%46%50%0%0%0%11
8%4%46%50%0%0%0%12
Compiler

Compiled 14 to 9 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 265.0ms
ival-log: 138.0ms (52% of total)
ival-sub: 33.0ms (12.4% of total)
ival-add: 33.0ms (12.4% of total)
ival-fabs: 24.0ms (9.1% of total)
ival-div: 20.0ms (7.5% of total)
ival-<=: 14.0ms (5.3% of total)
const: 2.0ms (0.8% of total)
backward-pass: 2.0ms (0.8% of total)

sample5.0s (35.6%)

Results
3.2s3857×2valid
1.4s4159×1valid
25.0ms240×0valid
Precisions
Click to see histograms. Total time spent on operations: 4.0s
ival-log: 2.6s (65.6% of total)
ival-div: 596.0ms (15% of total)
backward-pass: 300.0ms (7.5% of total)
ival-sub: 139.0ms (3.5% of total)
ival-add: 133.0ms (3.3% of total)
ival-<=: 96.0ms (2.4% of total)
ival-fabs: 89.0ms (2.2% of total)
const: 17.0ms (0.4% of total)
Bogosity

preprocess26.0ms (0.2%)

Algorithm
2×egg-herbie
Rules
110×sum3-define
104×fmsub-define
80×fnmsub-define
80×fnmadd-define
62×fmm-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01425
13219
25219
310219
417819
527319
636119
740719
844719
945119
1045319
077
1136
2186
3246
4336
5466
6636
7816
8986
91006
01006
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(/ (log (- 1 x)) (log (+ 1 x)))
Outputs
(/ (log (- 1 x)) (log (+ 1 x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
Call 2
Inputs
(/ (log (- 1 x)) (log (+ 1 x)))
(/ (log (- 1 (neg x))) (log (+ 1 (neg x))))
(neg (/ (log (- 1 (neg x))) (log (+ 1 (neg x)))))
Outputs
(/ (log (- 1 x)) (log (+ 1 x)))
(/ (log1p (neg x)) (log1p x))
(/ (log (- 1 (neg x))) (log (+ 1 (neg x))))
(/ (log1p x) (log1p (neg x)))
(neg (/ (log (- 1 (neg x))) (log (+ 1 (neg x)))))
(/ (neg (log1p x)) (log1p (neg x)))

explain360.0ms (2.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2560-1(0.020191466354330233)(log.f64 (+.f64 #s(literal 1 binary64) x))
2550-0-(log.f64 (-.f64 #s(literal 1 binary64) x))
00-0-x
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-(+.f64 #s(literal 1 binary64) x)
00-0-(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Results
196.0ms250×2valid
114.0ms250×1valid
1.0ms12×0valid
Compiler

Compiled 64 to 23 computations (64.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 209.0ms
ival-log: 157.0ms (75.3% of total)
backward-pass: 20.0ms (9.6% of total)
ival-add: 12.0ms (5.8% of total)
ival-sub: 10.0ms (4.8% of total)
ival-div: 8.0ms (3.8% of total)
const: 2.0ms (1% of total)

eval0.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶5.9%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
▶4.1%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(log1p.f64 x)
✓cost-diff0
(-.f64 #s(literal 1 binary64) x)
✓cost-diff0
(log.f64 (-.f64 #s(literal 1 binary64) x))
✓cost-diff0
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
✓cost-diff0
(-.f64 #s(literal 1 binary64) x)
✓cost-diff0
(log.f64 (-.f64 #s(literal 1 binary64) x))
✓cost-diff0
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
✓cost-diff128
(log.f64 (+.f64 #s(literal 1 binary64) x))
Rules
44×sum3-define
32×+-lowering-+.f64
32×+-lowering-+.f32
22×--lowering--.f32
22×--lowering--.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0739
11335
21835
32435
43335
54635
66335
78135
89835
910035
010035
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (log (- 1 x)) (log (+ 1 x)))
(log (- 1 x))
(- 1 x)
1
x
(log (+ 1 x))
(+ 1 x)
(/ (log (- 1 x)) (log (+ 1 x)))
(log (- 1 x))
(- 1 x)
1
x
(log (+ 1 x))
Outputs
(/ (log (- 1 x)) (log (+ 1 x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(log (- 1 x))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(log (+ 1 x))
(log1p.f64 x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(/ (log (- 1 x)) (log (+ 1 x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(log (- 1 x))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(log (+ 1 x))
(log1p.f64 x)

localize360.0ms (2.6%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(log1p.f64 x)
✓accuracy100.0%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
✓accuracy35.5%
(log.f64 (-.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
✓accuracy35.5%
(log.f64 (+.f64 #s(literal 1 binary64) x))
✓accuracy35.5%
(log.f64 (-.f64 #s(literal 1 binary64) x))
Results
188.0ms75×5exit
61.0ms125×1valid
53.0ms51×2valid
23.0ms5×0valid
Compiler

Compiled 45 to 10 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 304.0ms
ival-log: 182.0ms (59.8% of total)
compiled-spec: 75.0ms (24.7% of total)
backward-pass: 24.0ms (7.9% of total)
ival-div: 8.0ms (2.6% of total)
ival-add: 8.0ms (2.6% of total)
ival-sub: 5.0ms (1.6% of total)
const: 1.0ms (0.3% of total)

series9.0ms (0.1%)

Counts
7 → 84
Calls
Call 1
Inputs
#<alt (log (+ 1 x))>
#<alt (/ (log (- 1 x)) (log (+ 1 x)))>
#<alt (log (- 1 x))>
#<alt (- 1 x)>
#<alt (/ (log (- 1 x)) (log (+ 1 x)))>
#<alt (log (+ 1 x))>
#<alt (+ 1 x)>
Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))>
#<alt (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -1/3 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (- (* -1 (log (/ -1 x))) (/ 1 x))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))>
#<alt (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
Calls

21 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/ (log (- 1 x)) (log (+ 1 x)))
2.0ms
x
@inf
(/ (log (- 1 x)) (log (+ 1 x)))
0.0ms
x
@0
(log (+ 1 x))
0.0ms
x
@0
(/ (log (- 1 x)) (log (+ 1 x)))
0.0ms
x
@inf
(log (+ 1 x))

rewrite284.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
2510×*-lowering-*.f32
2510×*-lowering-*.f64
1524×/-lowering-/.f32
1524×/-lowering-/.f64
1258×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0726
13724
225724
3233122
01134322
Stop Event
1×iter limit
1×node limit
Counts
7 → 669
Calls
Call 1
Inputs
(log (+ 1 x))
(/ (log (- 1 x)) (log (+ 1 x)))
(log (- 1 x))
(- 1 x)
(/ (log (- 1 x)) (log (+ 1 x)))
(log (+ 1 x))
(+ 1 x)
Outputs
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 (log1p.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (log1p.f64 x))
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 x x)))
(+.f64 (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(+.f64 (log1p.f64 (*.f64 x x)) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
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(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))))
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)))
(*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))

simplify302.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
4134×+-lowering-+.f64
4134×+-lowering-+.f32
2580×*-lowering-*.f32
2580×*-lowering-*.f64
1910×--lowering--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02171971
17391661
224341513
083851513
Stop Event
1×iter limit
1×node limit
Counts
84 → 84
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 x))))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(* -1 (log (/ -1 x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
Outputs
x
(* x (+ 1 (* -1/2 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))))
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
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(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(+.f64 (+.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (log.f64 x)) (-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 x)) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (log.f64 x)))) (-.f64 (/.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) x) (+.f64 (+.f64 (/.f64 (/.f64 (log.f64 #s(literal -1 binary64)) x) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) x)) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (*.f64 x x)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (/.f64 #s(literal -1/2 binary64) (log.f64 x)))) (*.f64 x (*.f64 x x)))))))))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) x))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) x) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) x)) x))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (+.f64 (+.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) (*.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) #s(literal 1/3 binary64))))) x)) x) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))))) x) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))
x
(* x (+ 1 (* -1/2 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))))
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 x) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 x) (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) x)))
(+ (log -1) (* -1 (log (/ -1 x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
(-.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))

eval108.0ms (0.8%)

Compiler

Compiled 25283 to 1679 computations (93.4% saved)

prune112.0ms (0.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New100981017
Fresh000
Picked202
Done000
Total101181019
Accuracy
100.0%
Counts
1019 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))) (log1p.f64 x))
▶100.0%
(/.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) x)) (log1p.f64 x))
▶4.6%
(/.f64 (log.f64 (/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
5.8%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))))
99.3%
(-.f64 #s(literal -1 binary64) x)
▶99.6%
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
99.8%
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
▶98.1%
#s(literal -1 binary64)
Compiler

Compiled 190 to 136 computations (28.4% saved)

simplify205.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (log.f64 (/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
✓cost-diff64
(neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)))
✓cost-diff128
(log.f64 (+.f64 #s(literal 1 binary64) x))
✓cost-diff384
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
✓cost-diff0
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))
✓cost-diff0
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))
✓cost-diff0
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))))
✓cost-diff0
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))) (log1p.f64 x))
✓cost-diff0
(*.f64 x #s(literal -1/2 binary64))
✓cost-diff0
(+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
✓cost-diff0
(*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
✓cost-diff0
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
✓cost-diff0
(log1p.f64 x)
✓cost-diff0
(-.f64 #s(literal 0 binary64) x)
✓cost-diff0
(log1p.f64 (-.f64 #s(literal 0 binary64) x))
✓cost-diff0
(/.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) x)) (log1p.f64 x))
Rules
2132×--lowering--.f32
2132×--lowering--.f64
1926×+-lowering-+.f64
1926×+-lowering-+.f32
1746×*-lowering-*.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
031158
186147
2219147
3492144
41330139
53270139
66646139
08091139
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (log (+ 1 (- 0 x))) (log (+ 1 x)))
(log (+ 1 (- 0 x)))
(- 0 x)
0
x
(log (+ 1 x))
-1
(+ -1 (* x (+ (* x -1/2) -1)))
-1
(* x (+ (* x -1/2) -1))
x
(+ (* x -1/2) -1)
(* x -1/2)
-1/2
(/ (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))) (log (+ 1 x)))
(* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))))
x
(+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))
-1
(* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))
(+ -1/2 (* x (+ (* x -1/4) -1/3)))
-1/2
(* x (+ (* x -1/4) -1/3))
(+ (* x -1/4) -1/3)
(* x -1/4)
-1/4
-1/3
(log (+ 1 x))
(/ (log (/ (neg (+ -1 (* x x))) (+ 1 x))) (log (+ 1 x)))
(log (/ (neg (+ -1 (* x x))) (+ 1 x)))
(/ (neg (+ -1 (* x x))) (+ 1 x))
(neg (+ -1 (* x x)))
(+ -1 (* x x))
-1
(* x x)
x
(+ 1 x)
1
(log (+ 1 x))
Outputs
(/ (log (+ 1 (- 0 x))) (log (+ 1 x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(log (+ 1 (- 0 x)))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
x
(log (+ 1 x))
(log1p.f64 x)
-1
#s(literal -1 binary64)
(+ -1 (* x (+ (* x -1/2) -1)))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
-1
#s(literal -1 binary64)
(* x (+ (* x -1/2) -1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))
x
(+ (* x -1/2) -1)
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(* x -1/2)
(*.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(/ (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))) (log (+ 1 x)))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))) (log1p.f64 x))
(* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))))
x
(+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))
-1
#s(literal -1 binary64)
(* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))
(+ -1/2 (* x (+ (* x -1/4) -1/3)))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))
-1/2
#s(literal -1/2 binary64)
(* x (+ (* x -1/4) -1/3))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
(+ (* x -1/4) -1/3)
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(* x -1/4)
(*.f64 x #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
-1/3
#s(literal -1/3 binary64)
(log (+ 1 x))
(log1p.f64 x)
(/ (log (/ (neg (+ -1 (* x x))) (+ 1 x))) (log (+ 1 x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(log (/ (neg (+ -1 (* x x))) (+ 1 x)))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(/ (neg (+ -1 (* x x))) (+ 1 x))
(-.f64 #s(literal 1 binary64) x)
(neg (+ -1 (* x x)))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(+ -1 (* x x))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
-1
#s(literal -1 binary64)
(* x x)
(*.f64 x x)
x
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
(log (+ 1 x))
(log1p.f64 x)

localize607.0ms (4.4%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(/.f64 (log.f64 (/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
✓accuracy8.3%
(log.f64 (+.f64 #s(literal 1 binary64) x))
✓accuracy8.2%
(log.f64 (/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)))
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))
✓accuracy100.0%
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
✓accuracy100.0%
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))) (log1p.f64 x))
✓accuracy99.5%
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
✓accuracy100.0%
(+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
✓accuracy100.0%
(*.f64 x #s(literal -1/2 binary64))
✓accuracy100.0%
(*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) x)
✓accuracy100.0%
(log1p.f64 (-.f64 #s(literal 0 binary64) x))
✓accuracy100.0%
(log1p.f64 x)
✓accuracy100.0%
(/.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) x)) (log1p.f64 x))
Results
330.0ms119×2valid
211.0ms133×1valid
2.0ms4×0valid
Compiler

Compiled 197 to 32 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 423.0ms
ival-log: 141.0ms (33.4% of total)
compiled-spec: 94.0ms (22.2% of total)
backward-pass: 75.0ms (17.7% of total)
ival-mult: 39.0ms (9.2% of total)
ival-add: 30.0ms (7.1% of total)
ival-div: 17.0ms (4% of total)
...c/correct-round.rkt:119:19: 13.0ms (3.1% of total)
ival-sub: 8.0ms (1.9% of total)
const: 3.0ms (0.7% of total)
ival-neg: 3.0ms (0.7% of total)

series20.0ms (0.1%)

Counts
19 → 228
Calls
Call 1
Inputs
#<alt (/ (log (+ 1 (- 0 x))) (log (+ 1 x)))>
#<alt (log (+ 1 (- 0 x)))>
#<alt (- 0 x)>
#<alt (log (+ 1 x))>
#<alt (+ -1 (* x (+ (* x -1/2) -1)))>
#<alt (* x (+ (* x -1/2) -1))>
#<alt (+ (* x -1/2) -1)>
#<alt (* x -1/2)>
#<alt (/ (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))) (log (+ 1 x)))>
#<alt (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))))>
#<alt (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))>
#<alt (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))>
#<alt (/ (neg (+ -1 (* x x))) (+ 1 x))>
#<alt (log (+ 1 x))>
#<alt (neg (+ -1 (* x x)))>
#<alt (/ (log (/ (neg (+ -1 (* x x))) (+ 1 x))) (log (+ 1 x)))>
#<alt (* x (+ (* x -1/4) -1/3))>
#<alt (+ (* x -1/4) -1/3)>
#<alt (log (/ (neg (+ -1 (* x x))) (+ 1 x)))>
Outputs
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))>
#<alt (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -1/3 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (- (* -1 (log (/ -1 x))) (/ 1 x))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt -1>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* -1/2 x) 1)>
#<alt (* -1/2 x)>
#<alt (* -1 (* x (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* x (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* x (+ 1/2 (/ 1 x))))>
#<alt (* -1/2 x)>
#<alt (* -1 (* x (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* x (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* x (+ 1/2 (/ 1 x))))>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* 1/4 (/ (pow x 4) (log (/ 1 x))))>
#<alt (* (pow x 4) (+ (/ 1/4 (* x (pow (log (/ 1 x)) 2))) (+ (/ 1/3 (* x (log (/ 1 x)))) (* 1/4 (/ 1 (log (/ 1 x)))))))>
#<alt (* (pow x 4) (- (+ (/ 1/4 (* x (pow (log (/ 1 x)) 2))) (+ (/ 1/3 (* x (log (/ 1 x)))) (+ (* 1/4 (/ 1 (log (/ 1 x)))) (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x)))))))) (+ (* -1 (/ (+ (* 1/3 (/ 1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow (log (/ 1 x)) 2)))) (* (pow x 2) (log (/ 1 x))))) (* 1/8 (/ 1 (* (pow x 2) (pow (log (/ 1 x)) 2)))))))>
#<alt (* (pow x 4) (- (+ (/ 1/12 (* (pow x 3) (pow (log (/ 1 x)) 2))) (+ (/ 1/4 (* x (pow (log (/ 1 x)) 2))) (+ (/ 1/3 (* x (log (/ 1 x)))) (+ (* 1/4 (/ 1 (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 1 (* (pow x 3) (log (/ 1 x))))))))) (+ (* -1 (/ (+ (* 1/3 (/ 1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow (log (/ 1 x)) 2)))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (+ (* 1/3 (/ 1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow (log (/ 1 x)) 2)))) (log (/ 1 x)))) (* 1/8 (/ 1 (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* 1/2 (/ (+ (* 1/3 (/ 1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow (log (/ 1 x)) 2)))) (* (pow x 3) (log (/ 1 x))))) (* 1/8 (/ 1 (* (pow x 2) (pow (log (/ 1 x)) 2)))))))))>
#<alt (* -1/4 (/ (pow x 4) (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (* (pow x 4) (- (/ 1/4 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (/ 1/3 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))))>
#<alt (* (pow x 4) (- (* -1 (/ (- (+ (* -1 (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (+ (/ 1/8 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (* x (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ (* -1 (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (- (+ (* -1 (- (+ (* 1/8 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (* -1 (/ (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ 1/12 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (* -1 (/ (- (+ (* 1/8 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (* -1 (/ (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (log -1) (* -1 (log (/ -1 x))))))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (/ 1 (* x (+ (log -1) (* -1 (log (/ -1 x))))))))) x))) x)) (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -1/3 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))>
#<alt (* -1/4 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1/4 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4))>
#<alt -1>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* x (- (* -1/3 x) 1/2)) 1)>
#<alt (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))>
#<alt (* -1/2 x)>
#<alt (* x (- (* -1/3 x) 1/2))>
#<alt (* x (- (* x (- (* -1/4 x) 1/3)) 1/2))>
#<alt (* x (- (* x (- (* -1/4 x) 1/3)) 1/2))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (+ 1 (* -1 (pow x 2)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))>
#<alt (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (* -1/3 x)>
#<alt (* x (- (* -1/4 x) 1/3))>
#<alt (* x (- (* -1/4 x) 1/3))>
#<alt (* x (- (* -1/4 x) 1/3))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt -1/3>
#<alt (- (* -1/4 x) 1/3)>
#<alt (- (* -1/4 x) 1/3)>
#<alt (- (* -1/4 x) 1/3)>
#<alt (* -1/4 x)>
#<alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1/4 x)>
#<alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -1/3 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (- (* -1 (log (/ -1 x))) (/ 1 x))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))>
Calls

57 calls:

TimeVariablePointExpression
8.0ms
x
@-inf
(/ (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))) (log (+ 1 x)))
1.0ms
x
@inf
(/ (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))) (log (+ 1 x)))
0.0ms
x
@0
(/ (log (+ 1 (- 0 x))) (log (+ 1 x)))
0.0ms
x
@inf
(+ -1 (* x (+ (* x -1/2) -1)))
0.0ms
x
@inf
(/ (neg (+ -1 (* x x))) (+ 1 x))

rewrite237.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
2088×/-lowering-/.f32
2088×/-lowering-/.f64
1814×*-lowering-*.f32
1814×*-lowering-*.f64
1244×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031124
1216109
2193299
0936799
Stop Event
1×iter limit
1×node limit
Counts
19 → 600
Calls
Call 1
Inputs
(/ (log (+ 1 (- 0 x))) (log (+ 1 x)))
(log (+ 1 (- 0 x)))
(- 0 x)
(log (+ 1 x))
(+ -1 (* x (+ (* x -1/2) -1)))
(* x (+ (* x -1/2) -1))
(+ (* x -1/2) -1)
(* x -1/2)
(/ (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))) (log (+ 1 x)))
(* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))))
(+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))
(* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))
(/ (neg (+ -1 (* x x))) (+ 1 x))
(log (+ 1 x))
(neg (+ -1 (* x x)))
(/ (log (/ (neg (+ -1 (* x x))) (+ 1 x))) (log (+ 1 x)))
(* x (+ (* x -1/4) -1/3))
(+ (* x -1/4) -1/3)
(log (/ (neg (+ -1 (* x x))) (+ 1 x)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) #s(literal -1 binary64)))
(-.f64 (/.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 x))) (/.f64 (log1p.f64 x) (-.f64 #s(literal 0 binary64) (log1p.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (log1p.f64 x)) (/.f64 (log1p.f64 x) (-.f64 #s(literal 0 binary64) (log1p.f64 x))))
(-.f64 (/.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (log1p.f64 x)) (/.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) (log1p.f64 x)))
(-.f64 (/.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 x)) (/.f64 (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) (log1p.f64 x)))
(neg.f64 (/.f64 (log1p.f64 x) (-.f64 #s(literal 0 binary64) (log1p.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))))
(/.f64 (log1p.f64 x) (log1p.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(/.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)) (log1p.f64 x))
(/.f64 (-.f64 (*.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal 1 binary64))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (log1p.f64 x) (/.f64 #s(literal 1 binary64) (log1p.f64 x)))
(*.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (/.f64 #s(literal -1 binary64) (log1p.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) #s(literal -1 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 0 binary64) (log1p.f64 x))
(+.f64 (log1p.f64 (*.f64 x x)) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 x x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (+.f64 x #s(literal -1 binary64))))
(+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(+.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (log1p.f64 x))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(-.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (log.f64 (+.f64 x #s(literal -1 binary64))))
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (log1p.f64 x))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x))))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x))))))
(-.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))))
(neg.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(neg.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x)))))
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))))
(log1p.f64 x)
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
x
(+.f64 #s(literal 0 binary64) x)
(+.f64 x #s(literal 0 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) x)
(-.f64 (/.f64 #s(literal 0 binary64) x) x)
(fma.f64 #s(literal 1 binary64) x #s(literal 0 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(neg.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 x x))))
(/.f64 (*.f64 x x) x)
(/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x))))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(pow.f64 (/.f64 x (*.f64 x x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 0 binary64) (log1p.f64 x))
(+.f64 (log1p.f64 (*.f64 x x)) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 x x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (+.f64 x #s(literal -1 binary64))))
(+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(+.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (log1p.f64 x))
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(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/12 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) #s(literal -1/27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/9 binary64))))
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(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x #s(literal 1/12 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/9 binary64)) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) #s(literal -1/27 binary64))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) #s(literal -1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x #s(literal 1/12 binary64))))))
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(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) #s(literal -1/27 binary64)))) (neg.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/12 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))
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(pow.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/12 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) #s(literal -1/27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/9 binary64))) #s(literal -1 binary64))
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(*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 0 binary64) (log1p.f64 x))
(+.f64 (log1p.f64 (*.f64 x x)) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (log1p.f64 (*.f64 x x)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (+.f64 x #s(literal -1 binary64))))
(+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(+.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (log1p.f64 x))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(-.f64 (log1p.f64 (*.f64 x x)) (log1p.f64 x))
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(log1p.f64 x)
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))

simplify303.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
3666×*-lowering-*.f32
3666×*-lowering-*.f64
2318×+-lowering-+.f64
2318×+-lowering-+.f32
2152×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03623678
112643123
246173037
082063037
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
Calls
Call 1
Inputs
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
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(* -1 x)
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(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 x))))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
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(- (* -1 (log (/ -1 x))) (/ 1 x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
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x
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(* -1 (log (/ 1 x)))
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(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
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-1
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-1
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(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
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(* (pow x 4) (+ (/ 1/4 (* x (pow (log (/ 1 x)) 2))) (+ (/ 1/3 (* x (log (/ 1 x)))) (* 1/4 (/ 1 (log (/ 1 x)))))))
(* (pow x 4) (- (+ (/ 1/4 (* x (pow (log (/ 1 x)) 2))) (+ (/ 1/3 (* x (log (/ 1 x)))) (+ (* 1/4 (/ 1 (log (/ 1 x)))) (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x)))))))) (+ (* -1 (/ (+ (* 1/3 (/ 1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow (log (/ 1 x)) 2)))) (* (pow x 2) (log (/ 1 x))))) (* 1/8 (/ 1 (* (pow x 2) (pow (log (/ 1 x)) 2)))))))
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(* -1/4 (/ (pow x 4) (+ (log -1) (* -1 (log (/ -1 x))))))
(* (pow x 4) (- (/ 1/4 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (/ 1/3 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))))
(* (pow x 4) (- (* -1 (/ (- (+ (* -1 (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (+ (/ 1/8 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (* x (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))))
(* (pow x 4) (- (* -1 (/ (+ (* -1 (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (- (+ (* -1 (- (+ (* 1/8 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (* -1 (/ (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ 1/12 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (* -1 (/ (- (+ (* 1/8 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (* -1 (/ (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (log -1) (* -1 (log (/ -1 x))))))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (/ 1 (* x (+ (log -1) (* -1 (log (/ -1 x))))))))) x))) x)) (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))))
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(* -1/4 (pow x 4))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 (pow x 4))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4))
-1
(- (* -1/2 x) 1)
(- (* x (- (* -1/3 x) 1/2)) 1)
(- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))
(* -1/2 x)
(* x (- (* -1/3 x) 1/2))
(* x (- (* x (- (* -1/4 x) 1/3)) 1/2))
(* x (- (* x (- (* -1/4 x) 1/3)) 1/2))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
1
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(+ 1 (* -1 (pow x 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(* -1/3 x)
(* x (- (* -1/4 x) 1/3))
(* x (- (* -1/4 x) 1/3))
(* x (- (* -1/4 x) 1/3))
(* -1/4 (pow x 2))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 (pow x 2))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
-1/3
(- (* -1/4 x) 1/3)
(- (* -1/4 x) 1/3)
(- (* -1/4 x) 1/3)
(* -1/4 x)
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 x)
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 x))))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(* -1 (log (/ -1 x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
Outputs
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))
(- (* x (- (* -1/2 x) 1)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
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(-.f64 (-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/3 binary64) x) x))) x))

eval128.0ms (0.9%)

Compiler

Compiled 20661 to 2446 computations (88.2% saved)

prune83.0ms (0.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New8683871
Fresh123
Picked325
Done000
Total8727879
Accuracy
100.0%
Counts
879 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))))
▶100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
▶4.6%
(/.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
▶99.3%
(-.f64 #s(literal -1 binary64) x)
✓99.6%
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
▶99.8%
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
✓98.1%
#s(literal -1 binary64)
Compiler

Compiled 158 to 105 computations (33.5% saved)

simplify213.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
✓cost-diff0
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))
✓cost-diff0
(/.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
✓cost-diff128
(log.f64 (+.f64 #s(literal 1 binary64) x))
✓cost-diff0
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))
✓cost-diff0
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))
✓cost-diff0
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))))
✓cost-diff256
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))))
✓cost-diff0
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))
✓cost-diff0
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))
✓cost-diff0
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))))
✓cost-diff0
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
✓cost-diff0
(-.f64 #s(literal -1 binary64) x)
✓cost-diff-64
(neg.f64 x)
✓cost-diff0
(log1p.f64 x)
✓cost-diff0
(log1p.f64 (neg.f64 x))
✓cost-diff0
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Rules
2612×fma-lowering-fma.f32
2612×fma-lowering-fma.f64
2348×*-lowering-*.f32
2348×*-lowering-*.f64
1728×fmm-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
040267
1124233
2382230
31084228
43189228
57179228
08273228
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (log (+ 1 (neg x))) (log (+ 1 x)))
(log (+ 1 (neg x)))
(neg x)
x
(log (+ 1 x))
(- -1 x)
-1
x
(+ -1 (* x (+ -1 (* x (+ -1/2 (* x -5/12))))))
-1
(* x (+ -1 (* x (+ -1/2 (* x -5/12)))))
x
(+ -1 (* x (+ -1/2 (* x -5/12))))
(* x (+ -1/2 (* x -5/12)))
(+ -1/2 (* x -5/12))
-1/2
(* x -5/12)
-5/12
(/ (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))
(* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))))
x
(+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))
-1
(* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))
(+ -1/2 (* x (+ (* x -1/4) -1/3)))
-1/2
(* x (+ (* x -1/4) -1/3))
(+ (* x -1/4) -1/3)
(* x -1/4)
-1/4
-1/3
(* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))))
(+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))
1
(* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))
(+ -1/2 (* x (+ 1/3 (* x -1/4))))
(* x (+ 1/3 (* x -1/4)))
(+ 1/3 (* x -1/4))
1/3
(/ (log (/ (- 1 (* x x)) (+ 1 x))) (log (+ 1 x)))
(log (/ (- 1 (* x x)) (+ 1 x)))
(/ (- 1 (* x x)) (+ 1 x))
(- 1 (* x x))
1
(* x x)
x
(+ 1 x)
(log (+ 1 x))
Outputs
(/ (log (+ 1 (neg x))) (log (+ 1 x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(log (+ 1 (neg x)))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(neg x)
(-.f64 #s(literal 0 binary64) x)
x
(log (+ 1 x))
(log1p.f64 x)
(- -1 x)
(-.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
x
(+ -1 (* x (+ -1 (* x (+ -1/2 (* x -5/12))))))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
-1
#s(literal -1 binary64)
(* x (+ -1 (* x (+ -1/2 (* x -5/12)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))))
x
(+ -1 (* x (+ -1/2 (* x -5/12))))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))
(* x (+ -1/2 (* x -5/12)))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))
(+ -1/2 (* x -5/12))
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))
-1/2
#s(literal -1/2 binary64)
(* x -5/12)
(*.f64 x #s(literal -5/12 binary64))
-5/12
#s(literal -5/12 binary64)
(/ (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))))
x
(+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))
-1
#s(literal -1 binary64)
(* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))
(+ -1/2 (* x (+ (* x -1/4) -1/3)))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))
-1/2
#s(literal -1/2 binary64)
(* x (+ (* x -1/4) -1/3))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
(+ (* x -1/4) -1/3)
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(* x -1/4)
(*.f64 x #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
-1/3
#s(literal -1/3 binary64)
(* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))
1
#s(literal 1 binary64)
(* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))
(+ -1/2 (* x (+ 1/3 (* x -1/4))))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))
(* x (+ 1/3 (* x -1/4)))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(+ 1/3 (* x -1/4))
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(/ (log (/ (- 1 (* x x)) (+ 1 x))) (log (+ 1 x)))
(/.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (log1p.f64 x))
(log (/ (- 1 (* x x)) (+ 1 x)))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))
(/ (- 1 (* x x)) (+ 1 x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(- 1 (* x x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
(* x x)
(*.f64 x x)
x
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(log (+ 1 x))
(log1p.f64 x)

localize782.0ms (5.6%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(/.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
✓accuracy42.2%
(log.f64 (+.f64 #s(literal 1 binary64) x))
✓accuracy42.1%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x)))
✓accuracy100.0%
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))))
✓accuracy100.0%
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
✓accuracy99.7%
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
✓accuracy99.7%
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))))
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))
✓accuracy99.8%
(*.f64 x #s(literal -5/12 binary64))
✓accuracy100.0%
(-.f64 #s(literal -1 binary64) x)
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(log1p.f64 (neg.f64 x))
✓accuracy100.0%
(log1p.f64 x)
✓accuracy100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Results
386.0ms93×5exit
182.0ms119×1valid
109.0ms40×2valid
2.0ms4×0valid
Compiler

Compiled 285 to 41 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 459.0ms
ival-log: 160.0ms (34.9% of total)
backward-pass: 83.0ms (18.1% of total)
compiled-spec: 63.0ms (13.7% of total)
ival-mult: 52.0ms (11.3% of total)
ival-add: 36.0ms (7.9% of total)
...c/correct-round.rkt:119:19: 31.0ms (6.8% of total)
ival-div: 17.0ms (3.7% of total)
ival-sub: 8.0ms (1.7% of total)
ival-neg: 6.0ms (1.3% of total)
const: 2.0ms (0.4% of total)

series11.0ms (0.1%)

Counts
21 → 252
Calls
Call 1
Inputs
#<alt (/ (log (+ 1 (neg x))) (log (+ 1 x)))>
#<alt (log (+ 1 (neg x)))>
#<alt (log (+ 1 x))>
#<alt (neg x)>
#<alt (- -1 x)>
#<alt (+ -1 (* x (+ -1 (* x (+ -1/2 (* x -5/12))))))>
#<alt (* x (+ -1 (* x (+ -1/2 (* x -5/12)))))>
#<alt (+ -1 (* x (+ -1/2 (* x -5/12))))>
#<alt (* x (+ -1/2 (* x -5/12)))>
#<alt (/ (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))>
#<alt (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))))>
#<alt (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))>
#<alt (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))>
#<alt (log (+ 1 x))>
#<alt (/ (log (/ (- 1 (* x x)) (+ 1 x))) (log (+ 1 x)))>
#<alt (log (/ (- 1 (* x x)) (+ 1 x)))>
#<alt (/ (- 1 (* x x)) (+ 1 x))>
#<alt (* x -5/12)>
#<alt (* x (+ (* x -1/4) -1/3))>
#<alt (* x (+ 1/3 (* x -1/4)))>
#<alt (+ 1/3 (* x -1/4))>
Outputs
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))>
#<alt (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -1/3 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (- (* -1 (log (/ -1 x))) (/ 1 x))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* -1 x) 1)>
#<alt (- (* -1 x) 1)>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -5/12 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -5/12 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -5/12 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* -5/12 x) 1/2)) 1))>
#<alt (* -5/12 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))>
#<alt (* -5/12 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))>
#<alt -1>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* x (- (* -5/12 x) 1/2)) 1)>
#<alt (- (* x (- (* -5/12 x) 1/2)) 1)>
#<alt (* -5/12 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))>
#<alt (* -5/12 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))>
#<alt (* -1/2 x)>
#<alt (* x (- (* -5/12 x) 1/2))>
#<alt (* x (- (* -5/12 x) 1/2))>
#<alt (* x (- (* -5/12 x) 1/2))>
#<alt (* -5/12 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -5/12 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt 1>
#<alt (+ 1 (* 8/3 (/ 1 x)))>
#<alt (+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))>
#<alt (+ 1 (+ (* 8/3 (/ 1 x)) (+ (* 200/27 (/ 1 (pow x 3))) (/ 32/9 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* 8/3 (/ 1 x)))>
#<alt (+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 32/9 (* 200/27 (/ 1 x))) x)) 8/3) x)))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -1/3 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))>
#<alt (* -1/4 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1/4 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4))>
#<alt -1>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* x (- (* -1/3 x) 1/2)) 1)>
#<alt (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))>
#<alt (* -1/2 x)>
#<alt (* x (- (* -1/3 x) 1/2))>
#<alt (* x (- (* x (- (* -1/4 x) 1/3)) 1/2))>
#<alt (* x (- (* x (- (* -1/4 x) 1/3)) 1/2))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))>
#<alt (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -1/3 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (- (* -1 (log (/ -1 x))) (/ 1 x))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -5/12 x)>
#<alt (* -5/12 x)>
#<alt (* -5/12 x)>
#<alt (* -5/12 x)>
#<alt (* -5/12 x)>
#<alt (* -5/12 x)>
#<alt (* -5/12 x)>
#<alt (* -5/12 x)>
#<alt (* -5/12 x)>
#<alt (* -5/12 x)>
#<alt (* -5/12 x)>
#<alt (* -5/12 x)>
#<alt (* -1/3 x)>
#<alt (* x (- (* -1/4 x) 1/3))>
#<alt (* x (- (* -1/4 x) 1/3))>
#<alt (* x (- (* -1/4 x) 1/3))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* -1/4 x)))>
#<alt (* x (+ 1/3 (* -1/4 x)))>
#<alt (* x (+ 1/3 (* -1/4 x)))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt 1/3>
#<alt (+ 1/3 (* -1/4 x))>
#<alt (+ 1/3 (* -1/4 x))>
#<alt (+ 1/3 (* -1/4 x))>
#<alt (* -1/4 x)>
#<alt (* x (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* x (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* x (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* -1/4 x)>
#<alt (* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))>
Calls

63 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(* x -5/12)
0.0ms
x
@inf
(/ (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))
0.0ms
x
@-inf
(+ -1 (* x (+ -1 (* x (+ -1/2 (* x -5/12))))))
0.0ms
x
@inf
(* x -5/12)
0.0ms
x
@inf
(* x (+ -1 (* x (+ -1/2 (* x -5/12)))))

rewrite312.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
2334×*-lowering-*.f32
2334×*-lowering-*.f64
2314×fma-lowering-fma.f32
2314×fma-lowering-fma.f64
1994×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040164
1290137
22840131
08657131
Stop Event
1×iter limit
1×node limit
Counts
21 → 675
Calls
Call 1
Inputs
(/ (log (+ 1 (neg x))) (log (+ 1 x)))
(log (+ 1 (neg x)))
(log (+ 1 x))
(neg x)
(- -1 x)
(+ -1 (* x (+ -1 (* x (+ -1/2 (* x -5/12))))))
(* x (+ -1 (* x (+ -1/2 (* x -5/12)))))
(+ -1 (* x (+ -1/2 (* x -5/12))))
(* x (+ -1/2 (* x -5/12)))
(/ (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))
(* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))))
(+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))
(* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))
(log (+ 1 x))
(/ (log (/ (- 1 (* x x)) (+ 1 x))) (log (+ 1 x)))
(log (/ (- 1 (* x x)) (+ 1 x)))
(/ (- 1 (* x x)) (+ 1 x))
(* x -5/12)
(* x (+ (* x -1/4) -1/3))
(* x (+ 1/3 (* x -1/4)))
(+ 1/3 (* x -1/4))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) #s(literal -1 binary64)))
(-.f64 (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(neg.f64 (/.f64 (log1p.f64 x) (-.f64 #s(literal 0 binary64) (log1p.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)))))
(/.f64 (log1p.f64 x) (log1p.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(/.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)) (log1p.f64 x))
(/.f64 (-.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal 1 binary64))
(pow.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (log1p.f64 x) (log1p.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) (log1p.f64 x)))
(*.f64 (log1p.f64 x) (/.f64 #s(literal 1 binary64) (log1p.f64 x)))
(*.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (/.f64 #s(literal -1 binary64) (log1p.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) (log1p.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) #s(literal -1 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(+.f64 #s(literal 0 binary64) (log1p.f64 x))
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(*.f64 (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x)
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
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(-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
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(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) #s(literal 1/27 binary64))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))))
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simplify350.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
4018×*-lowering-*.f32
4018×*-lowering-*.f64
2936×+-lowering-+.f64
2936×+-lowering-+.f32
1638×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03133290
110682881
237492761
086222761
Stop Event
1×iter limit
1×node limit
Counts
252 → 252
Calls
Call 1
Inputs
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
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x
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x
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(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
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(* -1 x)
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(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 x))))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(* -1 (log (/ -1 x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -5/12 x)
(* -1/3 x)
(* x (- (* -1/4 x) 1/3))
(* x (- (* -1/4 x) 1/3))
(* x (- (* -1/4 x) 1/3))
(* -1/4 (pow x 2))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 (pow x 2))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* 1/3 x)
(* x (+ 1/3 (* -1/4 x)))
(* x (+ 1/3 (* -1/4 x)))
(* x (+ 1/3 (* -1/4 x)))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
1/3
(+ 1/3 (* -1/4 x))
(+ 1/3 (* -1/4 x))
(+ 1/3 (* -1/4 x))
(* -1/4 x)
(* x (- (* 1/3 (/ 1 x)) 1/4))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(* -1/4 x)
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
Outputs
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
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(* -1 x)
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(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
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(+ (log -1) (* -1 (log (/ 1 x))))
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(*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(* x (- (* -1/4 x) 1/3))
(*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(* -1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* -1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (* -1/4 x)))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(* x (+ 1/3 (* -1/4 x)))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(* x (+ 1/3 (* -1/4 x)))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(* -1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* -1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* -1/4 x))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
(+ 1/3 (* -1/4 x))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
(+ 1/3 (* -1/4 x))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(*.f64 x (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(*.f64 x (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(*.f64 x (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))))

eval153.0ms (1.1%)

Compiler

Compiled 25870 to 2605 computations (89.9% saved)

prune89.0ms (0.6%)

Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New9252927
Fresh000
Picked145
Done022
Total9268934
Accuracy
100.0%
Counts
934 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
✓100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓4.6%
(/.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
✓99.3%
(-.f64 #s(literal -1 binary64) x)
✓99.6%
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
✓99.8%
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
▶34.0%
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) #s(literal -5/12 binary64)))
✓98.1%
#s(literal -1 binary64)
Compiler

Compiled 103 to 69 computations (33% saved)

simplify183.0ms (1.3%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))
✓cost-diff0
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))
✓cost-diff0
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
✓cost-diff128
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) #s(literal 1 binary64))
✓cost-diff0
(+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) #s(literal -5/12 binary64))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 x (*.f64 x x))
✓cost-diff256
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) #s(literal -5/12 binary64)))
Rules
2666×*-lowering-*.f32
2666×*-lowering-*.f64
2008×/-lowering-/.f32
2008×/-lowering-/.f64
1332×sum3-define
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
030201
186187
2257187
3538187
41072187
52258185
63069184
77000184
08112184
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* x (* x x)) (+ (/ (+ -1/2 (/ (+ -1 (/ -1 x)) x)) x) -5/12))
(* x (* x x))
x
(* x x)
(+ (/ (+ -1/2 (/ (+ -1 (/ -1 x)) x)) x) -5/12)
(/ (+ -1/2 (/ (+ -1 (/ -1 x)) x)) x)
(+ -1/2 (/ (+ -1 (/ -1 x)) x))
-1/2
(/ (+ -1 (/ -1 x)) x)
(+ -1 (/ -1 x))
-1
(/ -1 x)
-5/12
(/ (* (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) 1) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))))
(* (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) 1)
(+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))
-1
(* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))
x
(+ -1/2 (* x (+ (* x -1/4) -1/3)))
-1/2
(* x (+ (* x -1/4) -1/3))
(+ (* x -1/4) -1/3)
(* x -1/4)
-1/4
-1/3
1
(+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3)))))
(* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))
(+ -1/2 (* x (+ (* x -1/4) 1/3)))
(* x (+ (* x -1/4) 1/3))
(+ (* x -1/4) 1/3)
1/3
Outputs
(* (* x (* x x)) (+ (/ (+ -1/2 (/ (+ -1 (/ -1 x)) x)) x) -5/12))
(*.f64 x (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))))
(* x (* x x))
(*.f64 x (*.f64 x x))
x
(* x x)
(*.f64 x x)
(+ (/ (+ -1/2 (/ (+ -1 (/ -1 x)) x)) x) -5/12)
(+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) #s(literal -5/12 binary64))
(/ (+ -1/2 (/ (+ -1 (/ -1 x)) x)) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)
(+ -1/2 (/ (+ -1 (/ -1 x)) x))
(+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x))
-1/2
#s(literal -1/2 binary64)
(/ (+ -1 (/ -1 x)) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(+ -1 (/ -1 x))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
-1
#s(literal -1 binary64)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
-5/12
#s(literal -5/12 binary64)
(/ (* (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) 1) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(* (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))
(+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))
-1
#s(literal -1 binary64)
(* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))
x
(+ -1/2 (* x (+ (* x -1/4) -1/3)))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))
-1/2
#s(literal -1/2 binary64)
(* x (+ (* x -1/4) -1/3))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
(+ (* x -1/4) -1/3)
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(* x -1/4)
(*.f64 x #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
-1/3
#s(literal -1/3 binary64)
1
#s(literal 1 binary64)
(+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))
(* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))
(+ -1/2 (* x (+ (* x -1/4) 1/3)))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))
(* x (+ (* x -1/4) 1/3))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(+ (* x -1/4) 1/3)
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)

localize179.0ms (1.3%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
✓accuracy100.0%
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
✓accuracy99.5%
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
✓accuracy99.5%
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
✓accuracy99.9%
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)
✓accuracy99.8%
(*.f64 x (*.f64 x x))
✓accuracy99.8%
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
✓accuracy34.7%
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) #s(literal -5/12 binary64)))
Results
101.0ms256×0valid
Compiler

Compiled 225 to 31 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 15.0ms (30.6% of total)
...c/correct-round.rkt:119:19: 14.0ms (28.6% of total)
ival-add: 11.0ms (22.4% of total)
ival-div: 8.0ms (16.3% of total)
const: 1.0ms (2% of total)
backward-pass: 0.0ms (0% of total)

series5.0ms (0%)

Counts
13 → 156
Calls
Call 1
Inputs
#<alt (* (* x (* x x)) (+ (/ (+ -1/2 (/ (+ -1 (/ -1 x)) x)) x) -5/12))>
#<alt (* x (* x x))>
#<alt (* x x)>
#<alt (+ (/ (+ -1/2 (/ (+ -1 (/ -1 x)) x)) x) -5/12)>
#<alt (* (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) 1)>
#<alt (/ (* (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) 1) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))))>
#<alt (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))>
#<alt (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))>
#<alt (/ (+ -1 (/ -1 x)) x)>
#<alt (/ (+ -1/2 (/ (+ -1 (/ -1 x)) x)) x)>
#<alt (* x (+ (* x -1/4) -1/3))>
#<alt (* x (+ (* x -1/4) 1/3))>
#<alt (+ (* x -1/4) 1/3)>
Outputs
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -5/12 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -5/12 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))))>
#<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 (/ -1 (pow x 3))>
#<alt (/ (- (* -1 x) 1) (pow x 3))>
#<alt (/ (- (* x (- (* -1/2 x) 1)) 1) (pow x 3))>
#<alt (/ (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) (pow x 3))>
#<alt -5/12>
#<alt (* -1 (+ 5/12 (* 1/2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12)>
#<alt (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x))))>
#<alt -5/12>
#<alt (* -1 (+ 5/12 (* 1/2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12)>
#<alt (- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 5/12)>
#<alt -1>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* x (- (* -1/3 x) 1/2)) 1)>
#<alt (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt 1>
#<alt (+ 1 (* 8/3 (/ 1 x)))>
#<alt (+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))>
#<alt (+ 1 (+ (* 8/3 (/ 1 x)) (+ (* 200/27 (/ 1 (pow x 3))) (/ 32/9 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* 8/3 (/ 1 x)))>
#<alt (+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 32/9 (* 200/27 (/ 1 x))) x)) 8/3) x)))>
#<alt -1>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* x (- (* -1/3 x) 1/2)) 1)>
#<alt (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))>
#<alt (* -1/2 x)>
#<alt (* x (- (* -1/3 x) 1/2))>
#<alt (* x (- (* x (- (* -1/4 x) 1/3)) 1/2))>
#<alt (* x (- (* x (- (* -1/4 x) 1/3)) 1/2))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (* -1 x) 1) (pow x 2))>
#<alt (/ (- (* -1 x) 1) (pow x 2))>
#<alt (/ (- (* -1 x) 1) (pow x 2))>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))>
#<alt (/ -1 (pow x 3))>
#<alt (/ (- (* -1 x) 1) (pow x 3))>
#<alt (/ (- (* x (- (* -1/2 x) 1)) 1) (pow x 3))>
#<alt (/ (- (* x (- (* -1/2 x) 1)) 1) (pow x 3))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (+ 1/2 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (+ 1/2 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x))>
#<alt (* -1/3 x)>
#<alt (* x (- (* -1/4 x) 1/3))>
#<alt (* x (- (* -1/4 x) 1/3))>
#<alt (* x (- (* -1/4 x) 1/3))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* 1/3 x)>
#<alt (* x (+ 1/3 (* -1/4 x)))>
#<alt (* x (+ 1/3 (* -1/4 x)))>
#<alt (* x (+ 1/3 (* -1/4 x)))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt 1/3>
#<alt (+ 1/3 (* -1/4 x))>
#<alt (+ 1/3 (* -1/4 x))>
#<alt (+ 1/3 (* -1/4 x))>
#<alt (* -1/4 x)>
#<alt (* x (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* x (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* x (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* -1/4 x)>
#<alt (* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))>
Calls

39 calls:

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

rewrite385.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
3696×/-lowering-/.f32
3696×/-lowering-/.f64
3118×*-lowering-*.f32
3118×*-lowering-*.f64
1634×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030128
1216119
22077119
08246119
Stop Event
1×iter limit
1×node limit
Counts
13 → 397
Calls
Call 1
Inputs
(* (* x (* x x)) (+ (/ (+ -1/2 (/ (+ -1 (/ -1 x)) x)) x) -5/12))
(* x (* x x))
(* x x)
(+ (/ (+ -1/2 (/ (+ -1 (/ -1 x)) x)) x) -5/12)
(* (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) 1)
(/ (* (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))) 1) (+ 1 (* x (+ -1/2 (* x (+ (* x -1/4) 1/3))))))
(+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))
(* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))
(/ (+ -1 (/ -1 x)) x)
(/ (+ -1/2 (/ (+ -1 (/ -1 x)) x)) x)
(* x (+ (* x -1/4) -1/3))
(* x (+ (* x -1/4) 1/3))
(+ (* x -1/4) 1/3)
Outputs
(+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/12 binary64))) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 x x)))
(+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/12 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 x x)) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 x x))) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/12 binary64))))) (/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/12 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/12 binary64)))) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/12 binary64))))))
(fma.f64 x (*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/12 binary64))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -5/12 binary64)) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 x x)))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -5/12 binary64)) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 x x)))
(fma.f64 (*.f64 x x) (*.f64 x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/12 binary64))))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/12 binary64))))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -5/12 binary64) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 x x)))
(fma.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/12 binary64))))
(fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/12 binary64))))
(fma.f64 #s(literal -5/12 binary64) (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 x x)))
(fma.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) (*.f64 x x)) x (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/12 binary64))))
(fma.f64 (*.f64 #s(literal -5/12 binary64) (*.f64 x x)) x (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 x x)))
(fma.f64 (*.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) x) (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/12 binary64))))
(fma.f64 (*.f64 #s(literal -5/12 binary64) x) (*.f64 x x) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/12 binary64))))
(/.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 x x)) (*.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 x x)) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/12 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/12 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/12 binary64)))))) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 x x)) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/12 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/12 binary64)))) (*.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/12 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 x x)) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/12 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/12 binary64))))) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/12 binary64)))))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)))) (*.f64 x (*.f64 x x))) #s(literal -125/1728 binary64))) (+.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)))) (-.f64 #s(literal 25/144 binary64) (/.f64 #s(literal -5/12 binary64) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)))))))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)))) #s(literal -25/144 binary64))) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) #s(literal 5/12 binary64)))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)))) (*.f64 x (*.f64 x x))) #s(literal -125/1728 binary64)) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)))) (-.f64 #s(literal 25/144 binary64) (/.f64 #s(literal -5/12 binary64) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)))))))
(/.f64 (*.f64 (+.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) (/.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)))) #s(literal -25/144 binary64)) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) #s(literal 5/12 binary64)))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 x x)) (*.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 x x)) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/12 binary64))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/12 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/12 binary64))))))) (neg.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 x x)) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/12 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/12 binary64)))) (*.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/12 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 x x)) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/12 binary64))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/12 binary64)))))) (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -5/12 binary64))))))
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(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) #s(literal 1/27 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/12 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/9 binary64)) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/9 binary64))) (neg.f64 (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) #s(literal 1/27 binary64))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) #s(literal 1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x #s(literal -1/12 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) #s(literal 1/27 binary64))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal 1/12 binary64))))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))) (*.f64 (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/9 binary64)))) (neg.f64 (neg.f64 (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))) (neg.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) #s(literal 1/27 binary64)))) (neg.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 binary64)))))))
(pow.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) #s(literal 1/27 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/9 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 binary64))))))
(*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))

simplify181.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
3126×*-lowering-*.f32
3126×*-lowering-*.f64
1346×fma-lowering-fma.f32
1346×fma-lowering-fma.f64
1232×fmsub-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01381126
14291030
21440989
34746940
08792940
Stop Event
1×iter limit
1×node limit
Counts
156 → 156
Calls
Call 1
Inputs
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))))
(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)
(/ -1 (pow x 3))
(/ (- (* -1 x) 1) (pow x 3))
(/ (- (* x (- (* -1/2 x) 1)) 1) (pow x 3))
(/ (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) (pow x 3))
-5/12
(* -1 (+ 5/12 (* 1/2 (/ 1 x))))
(- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12)
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x))))
-5/12
(* -1 (+ 5/12 (* 1/2 (/ 1 x))))
(- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12)
(- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 5/12)
-1
(- (* -1/2 x) 1)
(- (* x (- (* -1/3 x) 1/2)) 1)
(- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
1
(+ 1 (* 8/3 (/ 1 x)))
(+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))
(+ 1 (+ (* 8/3 (/ 1 x)) (+ (* 200/27 (/ 1 (pow x 3))) (/ 32/9 (pow x 2)))))
1
(+ 1 (* 8/3 (/ 1 x)))
(+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 32/9 (* 200/27 (/ 1 x))) x)) 8/3) x)))
-1
(- (* -1/2 x) 1)
(- (* x (- (* -1/3 x) 1/2)) 1)
(- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))
(* -1/2 x)
(* x (- (* -1/3 x) 1/2))
(* x (- (* x (- (* -1/4 x) 1/3)) 1/2))
(* x (- (* x (- (* -1/4 x) 1/3)) 1/2))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(/ -1 (pow x 2))
(/ (- (* -1 x) 1) (pow x 2))
(/ (- (* -1 x) 1) (pow x 2))
(/ (- (* -1 x) 1) (pow x 2))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ -1 (pow x 3))
(/ (- (* -1 x) 1) (pow x 3))
(/ (- (* x (- (* -1/2 x) 1)) 1) (pow x 3))
(/ (- (* x (- (* -1/2 x) 1)) 1) (pow x 3))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)
(/ -1/2 x)
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x))
(* -1/3 x)
(* x (- (* -1/4 x) 1/3))
(* x (- (* -1/4 x) 1/3))
(* x (- (* -1/4 x) 1/3))
(* -1/4 (pow x 2))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 (pow x 2))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* 1/3 x)
(* x (+ 1/3 (* -1/4 x)))
(* x (+ 1/3 (* -1/4 x)))
(* x (+ 1/3 (* -1/4 x)))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
1/3
(+ 1/3 (* -1/4 x))
(+ 1/3 (* -1/4 x))
(+ 1/3 (* -1/4 x))
(* -1/4 x)
(* x (- (* 1/3 (/ 1 x)) 1/4))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(* -1/4 x)
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
Outputs
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
(* -5/12 (pow x 3))
(*.f64 x (*.f64 #s(literal -5/12 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) (*.f64 x x))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x)))))
(+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) (*.f64 x x)) (*.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(* -5/12 (pow x 3))
(*.f64 x (*.f64 #s(literal -5/12 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) (*.f64 x x))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))))
(* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))))
(+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) (*.f64 x x)) (*.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ -1 (pow x 3))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))
(/ (- (* -1 x) 1) (pow x 3))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) x)
(/ (- (* x (- (* -1/2 x) 1)) 1) (pow x 3))
(/.f64 (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))
(/ (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1) (pow x 3))
(/.f64 (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))
-5/12
#s(literal -5/12 binary64)
(* -1 (+ 5/12 (* 1/2 (/ 1 x))))
(-.f64 #s(literal -5/12 binary64) (/.f64 #s(literal 1/2 binary64) x))
(- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12)
(+.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x))))
(+.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x))
-5/12
#s(literal -5/12 binary64)
(* -1 (+ 5/12 (* 1/2 (/ 1 x))))
(-.f64 #s(literal -5/12 binary64) (/.f64 #s(literal 1/2 binary64) x))
(- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12)
(+.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))
(- (* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 5/12)
(+.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x))
-1
#s(literal -1 binary64)
(- (* -1/2 x) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(- (* x (- (* -1/3 x) 1/2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))
(- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))))))
(* -1/4 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/4 binary64))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(* -1/4 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/4 binary64))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(*.f64 x (-.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
1
#s(literal 1 binary64)
(+ 1 (* 8/3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8/3 binary64) x))
(+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 8/3 binary64) x) (/.f64 #s(literal 32/9 binary64) (*.f64 x x))))
(+ 1 (+ (* 8/3 (/ 1 x)) (+ (* 200/27 (/ 1 (pow x 3))) (/ 32/9 (pow x 2)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8/3 binary64) x)) (+.f64 (/.f64 #s(literal 32/9 binary64) (*.f64 x x)) (/.f64 #s(literal 200/27 binary64) (*.f64 x (*.f64 x x)))))
1
#s(literal 1 binary64)
(+ 1 (* 8/3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8/3 binary64) x))
(+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 8/3 binary64) x) (/.f64 #s(literal 32/9 binary64) (*.f64 x x))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 32/9 (* 200/27 (/ 1 x))) x)) 8/3) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 #s(literal 32/9 binary64) (/.f64 #s(literal 200/27 binary64) x)) x)) x))
-1
#s(literal -1 binary64)
(- (* -1/2 x) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(- (* x (- (* -1/3 x) 1/2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))
(- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))))))
(* -1/4 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/4 binary64))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(* -1/4 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/4 binary64))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(*.f64 x (-.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* -1/3 x) 1/2))
(*.f64 x (-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))
(* x (- (* x (- (* -1/4 x) 1/3)) 1/2))
(*.f64 x (-.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))))
(* x (- (* x (- (* -1/4 x) 1/3)) 1/2))
(*.f64 x (-.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))))
(* -1/4 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/4 binary64))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))))
(* -1/4 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/4 binary64))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(*.f64 x (-.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(*.f64 x (-.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (* -1 x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* -1 x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* -1 x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ -1 (pow x 3))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))
(/ (- (* -1 x) 1) (pow x 3))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x) x)
(/ (- (* x (- (* -1/2 x) 1)) 1) (pow x 3))
(/.f64 (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))
(/ (- (* x (- (* -1/2 x) 1)) 1) (pow x 3))
(/.f64 (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)
(* -1 (/ (+ 1/2 (+ (/ 1 x) (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* x (- (* -1/4 x) 1/3))
(*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(* x (- (* -1/4 x) 1/3))
(*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(* x (- (* -1/4 x) 1/3))
(*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(* -1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(* -1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (* -1/4 x)))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* -1/4 x)))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* -1/4 x)))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(* -1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(* -1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* -1/4 x))
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* -1/4 x))
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* -1/4 x))
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))

eval139.0ms (1%)

Compiler

Compiled 21125 to 1837 computations (91.3% saved)

prune69.0ms (0.5%)

Pruning

9 alts after pruning (2 fresh and 7 done)

PrunedKeptTotal
New5512553
Fresh000
Picked112
Done066
Total5529561
Accuracy
100.0%
Counts
561 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
✓100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓4.6%
(/.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
✓99.3%
(-.f64 #s(literal -1 binary64) x)
99.5%
(+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) (*.f64 x x)) (*.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
✓99.6%
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
✓99.8%
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
✓34.0%
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) #s(literal -5/12 binary64)))
✓98.1%
#s(literal -1 binary64)
Compiler

Compiled 375 to 166 computations (55.7% saved)

regimes11.0ms (0.1%)

Counts
17 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) x)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) #s(literal -5/12 binary64)))
(+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) (*.f64 x x)) (*.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(/.f64 (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))))
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(/.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) x)) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (log.f64 (/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Calls

2 calls:

5.0ms
x
4.0ms
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes6.0ms (0%)

Counts
11 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) x)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) #s(literal -5/12 binary64)))
(+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) (*.f64 x x)) (*.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(/.f64 (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))))
Outputs
(/.f64 (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
6 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) x)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) #s(literal -5/12 binary64)))
(+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) (*.f64 x x)) (*.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
Outputs
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) x)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
Outputs
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) x)
Outputs
(-.f64 #s(literal -1 binary64) x)
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
99.3%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
#s(literal -1 binary64)
Outputs
#s(literal -1 binary64)
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
98.1%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
26×+-commutative_binary64
22×*-commutative_binary64
4×sub-neg_binary64
2×1-exp_binary64
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03559
16259
26559
36659
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) x)) (log1p.f64 x))
(/.f64 (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)

soundness2.1s (15.2%)

Rules
4134×+-lowering-+.f64
4134×+-lowering-+.f32
3696×/-lowering-/.f32
3696×/-lowering-/.f64
3666×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02171971
17391661
224341513
083851513
031124
1216109
2193299
0936799
077
1136
2186
3246
4336
5466
6636
7816
8986
91006
01006
040164
1290137
22840131
08657131
03623678
112643123
246173037
082063037
0726
13724
225724
3233122
01134322
030128
1216119
22077119
08246119
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×saturated
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 202 to 136 computations (32.7% saved)

preprocess45.0ms (0.3%)

Compiler

Compiled 156 to 96 computations (38.5% saved)

end0.0ms (0%)

Profiling

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