qlog (example 3.10)

Time bar (total: 14.6s)

analyze702.0ms (4.8%)

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: 228.0ms
ival-log: 106.0ms (46.4% of total)
ival-fabs: 34.0ms (14.9% of total)
ival-sub: 33.0ms (14.4% of total)
ival-add: 21.0ms (9.2% of total)
ival-<=: 19.0ms (8.3% of total)
ival-div: 13.0ms (5.7% of total)
const: 2.0ms (0.9% of total)
backward-pass: 1.0ms (0.4% of total)

sample5.0s (34.2%)

Results
3.4s3851×2valid
1.2s4176×1valid
21.0ms229×0valid
Precisions
Click to see histograms. Total time spent on operations: 4.1s
ival-log: 2.6s (64% of total)
ival-fabs: 463.0ms (11.3% of total)
ival-sub: 275.0ms (6.7% of total)
backward-pass: 232.0ms (5.7% of total)
ival-div: 185.0ms (4.5% of total)
ival-add: 158.0ms (3.9% of total)
ival-<=: 144.0ms (3.5% of total)
const: 15.0ms (0.4% of total)
Bogosity

preprocess44.0ms (0.3%)

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)))

explain495.0ms (3.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2540-0-(log.f64 (-.f64 #s(literal 1 binary64) x))
2540-0-(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
295.0ms242×2valid
128.0ms256×1valid
1.0ms14×0valid
Compiler

Compiled 64 to 23 computations (64.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 224.0ms
ival-log: 166.0ms (74.1% of total)
backward-pass: 31.0ms (13.8% of total)
ival-sub: 11.0ms (4.9% of total)
ival-add: 8.0ms (3.6% of total)
ival-div: 7.0ms (3.1% of total)
const: 1.0ms (0.4% 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))
▶3.3%
(/.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%)

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-diff128
(log.f64 (+.f64 #s(literal 1 binary64) x))
✓cost-diff128
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (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)

localize242.0ms (1.7%)

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))
✓accuracy29.9%
(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)))
✓accuracy30.0%
(log.f64 (+.f64 #s(literal 1 binary64) x))
✓accuracy29.9%
(log.f64 (-.f64 #s(literal 1 binary64) x))
Results
79.0ms60×5exit
77.0ms63×2valid
61.0ms128×1valid
1.0ms5×0valid
Compiler

Compiled 45 to 10 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 198.0ms
ival-log: 110.0ms (55.6% of total)
ival-div: 28.0ms (14.1% of total)
compiled-spec: 28.0ms (14.1% of total)
backward-pass: 16.0ms (8.1% of total)
ival-add: 9.0ms (4.5% of total)
ival-sub: 6.0ms (3% of total)
const: 1.0ms (0.5% of total)

series7.0ms (0%)

Counts
7 → 84
Calls
Call 1
Inputs
#<alt (/ (log (- 1 x)) (log (+ 1 x)))>
#<alt (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 -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 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)) (log (+ 1 x)))
0.0ms
x
@-inf
(log (+ 1 x))
0.0ms
x
@inf
(- 1 x)

rewrite296.0ms (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
225624
3232222
01127822
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
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (log1p.f64 x) (-.f64 #s(literal 0 binary64) (log1p.f64 x))))
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(/.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)))))
(/.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))))
(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 (*.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 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.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 (*.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 #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 (+.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 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.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 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.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 (*.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 (*.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 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) 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))))))
(*.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 x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))

simplify284.0ms (1.9%)

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
17391725
224331593
083841593
Stop Event
1×iter limit
1×node limit
Counts
84 → 84
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)))
(+ (* -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 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
-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 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x))
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(+.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x)) (-.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (log.f64 x)) (*.f64 x x)) (-.f64 (/.f64 (/.f64 #s(literal -2 binary64) (log.f64 x)) x) (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (log.f64 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 (/.f64 #s(literal -1/2 binary64) (log.f64 x)) (/.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 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) (*.f64 x (*.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 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (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 (log.f64 #s(literal -1 binary64)) x) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))))))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(-.f64 #s(literal 0 binary64) (/.f64 (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 #s(literal 0 binary64) (/.f64 (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 #s(literal 0 binary64) (/.f64 (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) (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)) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) 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))
(+ (* -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 (/.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 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))))) (/.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))))) 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 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) (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 (log.f64 #s(literal -1 binary64)) (+.f64 (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))

eval167.0ms (1.1%)

Compiler

Compiled 25283 to 1679 computations (93.4% saved)

prune103.0ms (0.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New100981017
Fresh000
Picked112
Done000
Total101091019
Accuracy
100.0%
Counts
1019 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(/.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))
▶5.4%
(/.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)))))))))
▶5.3%
(/.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 #s(literal 1/3 binary64)))))))
✓3.3%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
99.2%
(-.f64 #s(literal -1 binary64) x)
99.4%
(+.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)))))))
▶99.3%
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
▶98.1%
#s(literal -1 binary64)
Compiler

Compiled 200 to 145 computations (27.5% saved)

simplify152.0ms (1%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.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 #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)) (*.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 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
✓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)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))))
✓cost-diff0
(*.f64 x #s(literal -1/2 binary64))
✓cost-diff0
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))
✓cost-diff0
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))
✓cost-diff0
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 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
2830×sum3-define
2258×fma-lowering-fma.f32
2258×fma-lowering-fma.f64
1876×fmsub-define
1644×fmm-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033196
194169
2236169
3592169
41312169
52312169
63896169
75917169
08090169
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 (+ -1 (* x -1/2))))
-1
(* x (+ -1 (* x -1/2)))
x
(+ -1 (* x -1/2))
(* x -1/2)
-1/2
(/ (log (- 1 x)) (* x (+ 1 (* x (+ -1/2 (* x 1/3))))))
(log (- 1 x))
(- 1 x)
1
x
(* x (+ 1 (* x (+ -1/2 (* x 1/3)))))
(+ 1 (* x (+ -1/2 (* x 1/3))))
(* x (+ -1/2 (* x 1/3)))
(+ -1/2 (* x 1/3))
-1/2
(* x 1/3)
1/3
(/ (log (- 1 x)) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))
(log (- 1 x))
(- 1 x)
1
x
(* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))))
(+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))
(* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))
(+ -1/2 (* x (+ 1/3 (* x -1/4))))
-1/2
(* x (+ 1/3 (* x -1/4)))
(+ 1/3 (* x -1/4))
1/3
(* x -1/4)
-1/4
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 (+ -1 (* x -1/2))))
(+.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 (+ -1 (* x -1/2)))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))
x
(+ -1 (* x -1/2))
(+.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)
(/ (log (- 1 x)) (* x (+ 1 (* x (+ -1/2 (* x 1/3))))))
(/.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 #s(literal 1/3 binary64)))))))
(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
(* x (+ 1 (* x (+ -1/2 (* x 1/3)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(+ 1 (* x (+ -1/2 (* x 1/3))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))
(* x (+ -1/2 (* x 1/3)))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))
(+ -1/2 (* x 1/3))
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))
-1/2
#s(literal -1/2 binary64)
(* x 1/3)
(*.f64 x #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
(/ (log (- 1 x)) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))
(/.f64 (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) 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))))))))
(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
(* 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 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 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 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))
(* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))
(+ -1/2 (* x (+ 1/3 (* x -1/4))))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
-1/2
#s(literal -1/2 binary64)
(* x (+ 1/3 (* x -1/4)))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(+ 1/3 (* x -1/4))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
1/3
#s(literal 1/3 binary64)
(* x -1/4)
(*.f64 x #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)

localize441.0ms (3%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.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)))))))))
✓accuracy99.9%
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
✓accuracy99.4%
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
✓accuracy8.2%
(log.f64 (-.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
✓accuracy100.0%
(/.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 #s(literal 1/3 binary64)))))))
✓accuracy99.4%
(*.f64 x #s(literal 1/3 binary64))
✓accuracy8.2%
(log.f64 (-.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))
✓accuracy100.0%
(*.f64 x #s(literal -1/2 binary64))
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 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
241.0ms123×2valid
130.0ms128×1valid
2.0ms5×0valid
Compiler

Compiled 205 to 32 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 390.0ms
ival-log: 143.0ms (36.7% of total)
compiled-spec: 104.0ms (26.7% of total)
ival-mult: 34.0ms (8.7% of total)
backward-pass: 31.0ms (8% of total)
ival-add: 29.0ms (7.4% of total)
ival-div: 19.0ms (4.9% of total)
ival-sub: 16.0ms (4.1% of total)
...c/correct-round.rkt:119:19: 11.0ms (2.8% of total)
const: 3.0ms (0.8% of total)

series14.0ms (0.1%)

Counts
17 → 204
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 (+ -1 (* x -1/2))))>
#<alt (* x (+ -1 (* x -1/2)))>
#<alt (+ -1 (* x -1/2))>
#<alt (* x -1/2)>
#<alt (/ (log (- 1 x)) (* x (+ 1 (* x (+ -1/2 (* x 1/3))))))>
#<alt (log (- 1 x))>
#<alt (- 1 x)>
#<alt (* x (+ 1 (* x (+ -1/2 (* x 1/3)))))>
#<alt (/ (log (- 1 x)) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))>
#<alt (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))))>
#<alt (* x 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 (* -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 (- (* -1/6 x) 1/2)) 1)) 1)>
#<alt (* 3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 3)))>
#<alt (/ (+ (* -1 (/ (+ 3 (* -9/2 (+ (log -1) (* -1 (log (/ 1 x)))))) x)) (* 3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 3))>
#<alt (/ (- (+ (* -1 (/ (+ 3/2 (+ (* 3/2 (+ 3 (* -9/2 (+ (log -1) (* -1 (log (/ 1 x))))))) (* 9 (+ (log -1) (* -1 (log (/ 1 x))))))) (pow x 2))) (* 3 (+ (log -1) (* -1 (log (/ 1 x)))))) (+ (* -9/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x)) (* 3 (/ 1 x)))) (pow x 3))>
#<alt (/ (- (+ (* -1 (/ (+ 1 (+ (* -3 (+ 3 (* -9/2 (+ (log -1) (* -1 (log (/ 1 x))))))) (* 3/2 (+ 3/2 (+ (* 3/2 (+ 3 (* -9/2 (+ (log -1) (* -1 (log (/ 1 x))))))) (* 9 (+ (log -1) (* -1 (log (/ 1 x)))))))))) (pow x 3))) (* 3 (+ (log -1) (* -1 (log (/ 1 x)))))) (+ (* -9/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x)) (+ (* 3/2 (/ (+ 3 (* -9/2 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 2))) (+ (* 9 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 2))) (+ (* 3 (/ 1 x)) (/ 3/2 (pow x 2))))))) (pow x 3))>
#<alt (* -3 (/ (log (/ -1 x)) (pow x 3)))>
#<alt (* -1 (/ (- (+ (* 3 (log (/ -1 x))) (* 3 (/ 1 x))) (* -9/2 (/ (log (/ -1 x)) x))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (- 3 (* -9/2 (log (/ -1 x))))) (* -1 (/ (+ 3/2 (+ (* -9 (log (/ -1 x))) (* 3/2 (- 3 (* -9/2 (log (/ -1 x))))))) x))) x)) (* 3 (log (/ -1 x)))) (pow x 3)))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (- 3 (* -9/2 (log (/ -1 x))))) (* -1 (/ (- (+ 3/2 (+ (* -9 (log (/ -1 x))) (+ (* 3/2 (- 3 (* -9/2 (log (/ -1 x))))) (/ 1 x)))) (+ (* -3/2 (/ (+ 3/2 (+ (* -9 (log (/ -1 x))) (* 3/2 (- 3 (* -9/2 (log (/ -1 x))))))) x)) (* 3 (/ (- 3 (* -9/2 (log (/ -1 x)))) x)))) x))) x)) (* 3 (log (/ -1 x)))) (pow x 3)))>
#<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 x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -4 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 4)))>
#<alt (/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (* 4 (/ 1 x))) (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x))) (pow x 4))>
#<alt (/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (+ (* 4 (/ 1 x)) (/ 2 (pow x 2)))) (+ (* -8 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 2))) (+ (* -4/3 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 2))) (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x))))) (pow x 4))>
#<alt (/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (+ (* 4 (/ 1 x)) (+ (* 4/3 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) (+ (* -8 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 2))) (+ (* -4/3 (/ (- 2 (+ (* -8 (+ (log -1) (* -1 (log (/ 1 x))))) (* -4/3 (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x))))))))) (pow x 3))) (+ (* -4/3 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 2))) (+ (* 2 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 3))) (+ (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x)) (* 16 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 3))))))))) (pow x 4))>
#<alt (* 4 (/ (log (/ -1 x)) (pow x 4)))>
#<alt (/ (- (+ (* 4 (log (/ -1 x))) (* 4 (/ 1 x))) (* -16/3 (/ (log (/ -1 x)) x))) (pow x 4))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (- 4 (* -16/3 (log (/ -1 x))))) (* -1 (/ (+ 2 (+ (* -8 (log (/ -1 x))) (* 4/3 (- 4 (* -16/3 (log (/ -1 x))))))) x))) x)) (* 4 (log (/ -1 x)))) (pow x 4))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (- 4 (* -16/3 (log (/ -1 x))))) (* -1 (/ (- (+ 2 (+ (* -8 (log (/ -1 x))) (+ (* 4/3 (- 4 (* -16/3 (log (/ -1 x))))) (* 4/3 (/ 1 x))))) (+ (* -16 (/ (log (/ -1 x)) x)) (+ (* -4/3 (/ (+ 2 (+ (* -8 (log (/ -1 x))) (* 4/3 (- 4 (* -16/3 (log (/ -1 x))))))) x)) (* 2 (/ (- 4 (* -16/3 (log (/ -1 x)))) x))))) x))) x)) (* 4 (log (/ -1 x)))) (pow x 4))>
#<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 (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 1/3 x)>
#<alt (* 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

51 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(/ (log (- 1 x)) (* x (+ 1 (* x (+ -1/2 (* x 1/3))))))
1.0ms
x
@inf
(/ (log (- 1 x)) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))
1.0ms
x
@inf
(/ (log (- 1 x)) (* x (+ 1 (* x (+ -1/2 (* x 1/3))))))
1.0ms
x
@-inf
(/ (log (- 1 x)) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))
0.0ms
x
@0
(/ (log (+ 1 (- 0 x))) (log (+ 1 x)))

rewrite223.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
2074×*-lowering-*.f32
2074×*-lowering-*.f64
1814×/-lowering-/.f32
1814×/-lowering-/.f64
1678×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033119
1233103
2214696
0928496
Stop Event
1×iter limit
1×node limit
Counts
17 → 435
Calls
Call 1
Inputs
(/ (log (+ 1 (- 0 x))) (log (+ 1 x)))
(log (+ 1 (- 0 x)))
(- 0 x)
(log (+ 1 x))
(+ -1 (* x (+ -1 (* x -1/2))))
(* x (+ -1 (* x -1/2)))
(+ -1 (* x -1/2))
(* x -1/2)
(/ (log (- 1 x)) (* x (+ 1 (* x (+ -1/2 (* x 1/3))))))
(log (- 1 x))
(- 1 x)
(* x (+ 1 (* x (+ -1/2 (* x 1/3)))))
(/ (log (- 1 x)) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))
(* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))))
(* x 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)))
(neg.f64 (/.f64 (log1p.f64 x) (-.f64 #s(literal 0 binary64) (log1p.f64 x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (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 #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 (log1p.f64 x) (log1p.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x))) (neg.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x))))
(/.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)) (log1p.f64 x))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)))))
(/.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) (-.f64 #s(literal 0 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 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(+.f64 (log1p.f64 (*.f64 x x)) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (log1p.f64 x))
(+.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 #s(literal 1 binary64) x))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))))
(-.f64 (log1p.f64 (*.f64 x x)) (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 #s(literal 1 binary64) x))))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (log.f64 (-.f64 x #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(log1p.f64 x)
x
(+.f64 #s(literal 0 binary64) x)
(+.f64 x #s(literal 0 binary64))
(-.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 (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(neg.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) 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 (*.f64 x x)) (*.f64 x x))
(/.f64 (*.f64 x x) x)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) x))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (/.f64 x (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) 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 (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x))
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))))
(+.f64 (log1p.f64 (*.f64 x x)) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (log1p.f64 x))
(+.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 #s(literal 1 binary64) x))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (+.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x))))
(-.f64 (log1p.f64 (*.f64 x x)) (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 #s(literal 1 binary64) x))))))
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (log.f64 (-.f64 x #s(literal 1 binary64))))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(log1p.f64 x)
(+.f64 x (+.f64 (*.f64 x (*.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) (*.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))) x))
(+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(+.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (/.f64 (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(-.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) x (+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(fma.f64 x #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(fma.f64 x #s(literal -1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(fma.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) x (+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))) x #s(literal -1 binary64))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))))))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (+.f64 (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))))) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))))))) (neg.f64 (+.f64 (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))
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(pow.f64 (/.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 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)))) #s(literal -1 binary64))
(pow.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)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))) (/.f64 #s(literal 1 binary64) (+.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 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))

simplify281.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
3454×+-lowering-+.f64
3454×+-lowering-+.f32
2404×*-lowering-*.f32
2404×*-lowering-*.f64
2078×--lowering--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04472747
115372461
255912405
081322405
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
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)))
(+ (* -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 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -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 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(* -1/2 (pow x 2))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(* -1/2 (pow x 2))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* -1/2 x) 1))
(* x (- (* -1/2 x) 1))
(* -1/2 (pow x 2))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(* -1/2 (pow x 2))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
-1
(- (* -1/2 x) 1)
(- (* -1/2 x) 1)
(- (* -1/2 x) 1)
(* -1/2 x)
(* -1 (* x (+ 1/2 (/ 1 x))))
(* -1 (* x (+ 1/2 (/ 1 x))))
(* -1 (* x (+ 1/2 (/ 1 x))))
(* -1/2 x)
(* -1 (* x (+ 1/2 (/ 1 x))))
(* -1 (* x (+ 1/2 (/ 1 x))))
(* -1 (* x (+ 1/2 (/ 1 x))))
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
(* -1/2 x)
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -1/6 x) 1/2)) 1)) 1)
(* 3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 3)))
(/ (+ (* -1 (/ (+ 3 (* -9/2 (+ (log -1) (* -1 (log (/ 1 x)))))) x)) (* 3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 3))
(/ (- (+ (* -1 (/ (+ 3/2 (+ (* 3/2 (+ 3 (* -9/2 (+ (log -1) (* -1 (log (/ 1 x))))))) (* 9 (+ (log -1) (* -1 (log (/ 1 x))))))) (pow x 2))) (* 3 (+ (log -1) (* -1 (log (/ 1 x)))))) (+ (* -9/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x)) (* 3 (/ 1 x)))) (pow x 3))
(/ (- (+ (* -1 (/ (+ 1 (+ (* -3 (+ 3 (* -9/2 (+ (log -1) (* -1 (log (/ 1 x))))))) (* 3/2 (+ 3/2 (+ (* 3/2 (+ 3 (* -9/2 (+ (log -1) (* -1 (log (/ 1 x))))))) (* 9 (+ (log -1) (* -1 (log (/ 1 x)))))))))) (pow x 3))) (* 3 (+ (log -1) (* -1 (log (/ 1 x)))))) (+ (* -9/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x)) (+ (* 3/2 (/ (+ 3 (* -9/2 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 2))) (+ (* 9 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 2))) (+ (* 3 (/ 1 x)) (/ 3/2 (pow x 2))))))) (pow x 3))
(* -3 (/ (log (/ -1 x)) (pow x 3)))
(* -1 (/ (- (+ (* 3 (log (/ -1 x))) (* 3 (/ 1 x))) (* -9/2 (/ (log (/ -1 x)) x))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- 3 (* -9/2 (log (/ -1 x))))) (* -1 (/ (+ 3/2 (+ (* -9 (log (/ -1 x))) (* 3/2 (- 3 (* -9/2 (log (/ -1 x))))))) x))) x)) (* 3 (log (/ -1 x)))) (pow x 3)))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (- 3 (* -9/2 (log (/ -1 x))))) (* -1 (/ (- (+ 3/2 (+ (* -9 (log (/ -1 x))) (+ (* 3/2 (- 3 (* -9/2 (log (/ -1 x))))) (/ 1 x)))) (+ (* -3/2 (/ (+ 3/2 (+ (* -9 (log (/ -1 x))) (* 3/2 (- 3 (* -9/2 (log (/ -1 x))))))) x)) (* 3 (/ (- 3 (* -9/2 (log (/ -1 x)))) x)))) x))) x)) (* 3 (log (/ -1 x)))) (pow x 3)))
(* -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))))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -4 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 4)))
(/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (* 4 (/ 1 x))) (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x))) (pow x 4))
(/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (+ (* 4 (/ 1 x)) (/ 2 (pow x 2)))) (+ (* -8 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 2))) (+ (* -4/3 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 2))) (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x))))) (pow x 4))
(/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (+ (* 4 (/ 1 x)) (+ (* 4/3 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) (+ (* -8 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 2))) (+ (* -4/3 (/ (- 2 (+ (* -8 (+ (log -1) (* -1 (log (/ 1 x))))) (* -4/3 (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x))))))))) (pow x 3))) (+ (* -4/3 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 2))) (+ (* 2 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 3))) (+ (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x)) (* 16 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 3))))))))) (pow x 4))
(* 4 (/ (log (/ -1 x)) (pow x 4)))
(/ (- (+ (* 4 (log (/ -1 x))) (* 4 (/ 1 x))) (* -16/3 (/ (log (/ -1 x)) x))) (pow x 4))
(/ (+ (* -1 (/ (+ (* -1 (- 4 (* -16/3 (log (/ -1 x))))) (* -1 (/ (+ 2 (+ (* -8 (log (/ -1 x))) (* 4/3 (- 4 (* -16/3 (log (/ -1 x))))))) x))) x)) (* 4 (log (/ -1 x)))) (pow x 4))
(/ (+ (* -1 (/ (+ (* -1 (- 4 (* -16/3 (log (/ -1 x))))) (* -1 (/ (- (+ 2 (+ (* -8 (log (/ -1 x))) (+ (* 4/3 (- 4 (* -16/3 (log (/ -1 x))))) (* 4/3 (/ 1 x))))) (+ (* -16 (/ (log (/ -1 x)) x)) (+ (* -4/3 (/ (+ 2 (+ (* -8 (log (/ -1 x))) (* 4/3 (- 4 (* -16/3 (log (/ -1 x))))))) x)) (* 2 (/ (- 4 (* -16/3 (log (/ -1 x)))) x))))) x))) x)) (* 4 (log (/ -1 x)))) (pow x 4))
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))))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))
(* -1/4 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 1/3 x)
(* 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)))))))
(* -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))))
(+.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (log.f64 x)) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (log.f64 x))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 2 binary64)))) x))
(- (+ (* -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))))))
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(/.f64 (-.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 4 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -4 binary64) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 16/3 binary64))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -8 binary64)) (*.f64 #s(literal 4/3 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 16/3 binary64)))))) x)) x)) (*.f64 (*.f64 x (*.f64 x x)) x))
(/ (+ (* -1 (/ (+ (* -1 (- 4 (* -16/3 (log (/ -1 x))))) (* -1 (/ (- (+ 2 (+ (* -8 (log (/ -1 x))) (+ (* 4/3 (- 4 (* -16/3 (log (/ -1 x))))) (* 4/3 (/ 1 x))))) (+ (* -16 (/ (log (/ -1 x)) x)) (+ (* -4/3 (/ (+ 2 (+ (* -8 (log (/ -1 x))) (* 4/3 (- 4 (* -16/3 (log (/ -1 x))))))) x)) (* 2 (/ (- 4 (* -16/3 (log (/ -1 x)))) x))))) x))) x)) (* 4 (log (/ -1 x)))) (pow x 4))
(/.f64 (-.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 4 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -4 binary64) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 16/3 binary64))) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -8 binary64))) (-.f64 (+.f64 (*.f64 #s(literal 4/3 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 16/3 binary64)))) (/.f64 #s(literal 4/3 binary64) x)) (+.f64 (*.f64 #s(literal -4/3 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -8 binary64)) (*.f64 #s(literal 4/3 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 16/3 binary64)))))) x)) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal 16/3 binary64)))) x) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -16 binary64)) x))))) x)) x)) (*.f64 (*.f64 x (*.f64 x x)) 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))))))))
(* -1/4 (pow x 4))
(*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x 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 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 (/.f64 #s(literal 1/3 binary64) x) (+.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) x) #s(literal -1/4 binary64))))
(* -1/4 (pow x 4))
(*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))
(*.f64 (*.f64 (*.f64 x (*.f64 x 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 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) x)) x)))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* 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 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))))

eval98.0ms (0.7%)

Compiler

Compiled 16098 to 1924 computations (88% saved)

prune90.0ms (0.6%)

Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New7104714
Fresh123
Picked235
Done011
Total71310723
Accuracy
100.0%
Counts
723 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.5%
(/.f64 (*.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 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 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #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))
5.4%
(/.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.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)))))))))
✓5.4%
(/.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)))))))))
✓3.3%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
▶99.2%
(-.f64 #s(literal -1 binary64) x)
▶99.4%
(+.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)))))))
✓99.3%
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
✓98.1%
#s(literal -1 binary64)
Compiler

Compiled 275 to 187 computations (32% saved)

simplify192.0ms (1.3%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.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 #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 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-diff256
(/.f64 (*.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 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 -1/3 binary64))))
✓cost-diff0
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))
✓cost-diff0
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #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 #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-diff-64
(log1p.f64 (neg.f64 x))
✓cost-diff-64
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓cost-diff0
(log1p.f64 x)
Rules
2272×*-lowering-*.f32
2272×*-lowering-*.f64
1744×sum3-define
1510×+-lowering-+.f64
1510×+-lowering-+.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041364
1134298
2443294
31242294
43641294
08196294
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 -1/3))))) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))
(* x (+ -1 (* x (+ -1/2 (* x -1/3)))))
x
(+ -1 (* x (+ -1/2 (* x -1/3))))
-1
(* x (+ -1/2 (* x -1/3)))
(+ -1/2 (* x -1/3))
-1/2
(* x -1/3)
-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
(* x -1/4)
-1/4
(/ (* x (+ -1 (* x (+ -1/2 (* x (+ -1/3 (* x -1/4))))))) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))
(* x (+ -1 (* x (+ -1/2 (* x (+ -1/3 (* x -1/4)))))))
x
(+ -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))))
-1/2
(* x (+ -1/3 (* x -1/4)))
(+ -1/3 (* x -1/4))
-1/3
(* x -1/4)
-1/4
(* 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
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 -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 #s(literal -1/3 binary64))))) (+.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))))))))
(* x (+ -1 (* x (+ -1/2 (* x -1/3)))))
(*.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 (+ -1/2 (* x -1/3))))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))
-1
#s(literal -1 binary64)
(* x (+ -1/2 (* x -1/3)))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))
(+ -1/2 (* x -1/3))
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))
-1/2
#s(literal -1/2 binary64)
(* x -1/3)
(*.f64 x #s(literal -1/3 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 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 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 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 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 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))
(+ -1/2 (* x (+ 1/3 (* x -1/4))))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(* x (+ 1/3 (* x -1/4)))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(+ 1/3 (* x -1/4))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
1/3
#s(literal 1/3 binary64)
(* x -1/4)
(*.f64 x #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
(/ (* x (+ -1 (* x (+ -1/2 (* x (+ -1/3 (* x -1/4))))))) (* 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 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))) (+.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))))))))
(* 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 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))))
x
(+ -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 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 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 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))
(+ -1/2 (* x (+ -1/3 (* x -1/4))))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
-1/2
#s(literal -1/2 binary64)
(* x (+ -1/3 (* x -1/4)))
(*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(+ -1/3 (* x -1/4))
(+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
-1/3
#s(literal -1/3 binary64)
(* x -1/4)
(*.f64 x #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 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 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 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 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 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 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))
(+ -1/2 (* x (+ 1/3 (* x -1/4))))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(* x (+ 1/3 (* x -1/4)))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(+ 1/3 (* x -1/4))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
1/3
#s(literal 1/3 binary64)

localize569.0ms (3.9%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.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)))
✓accuracy99.6%
(*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
✓accuracy99.6%
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))
✓accuracy100.0%
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
✓accuracy99.6%
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
✓accuracy99.5%
(*.f64 x #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 -1/2 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))))))
✓accuracy99.7%
(*.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
274.0ms87×5exit
193.0ms164×1valid
2.0ms5×0valid
Compiler

Compiled 366 to 40 computations (89.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 327.0ms
backward-pass: 75.0ms (22.9% of total)
compiled-spec: 63.0ms (19.3% of total)
ival-log: 49.0ms (15% of total)
ival-mult: 47.0ms (14.4% of total)
ival-add: 38.0ms (11.6% of total)
...c/correct-round.rkt:119:19: 37.0ms (11.3% of total)
ival-div: 10.0ms (3.1% of total)
ival-sub: 3.0ms (0.9% of total)
ival-neg: 3.0ms (0.9% of total)
const: 2.0ms (0.6% of total)

series17.0ms (0.1%)

Counts
22 → 264
Calls
Call 1
Inputs
#<alt (log (+ 1 x))>
#<alt (/ (log (+ 1 (neg x))) (log (+ 1 x)))>
#<alt (log (+ 1 (neg 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 -1/3))))) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))>
#<alt (* x (+ -1 (* x (+ -1/2 (* x -1/3)))))>
#<alt (+ -1 (* x (+ -1/2 (* x -1/3))))>
#<alt (* x (+ -1/2 (* x -1/3)))>
#<alt (/ (* x (+ -1 (* x (+ -1/2 (* x (+ -1/3 (* x -1/4))))))) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))>
#<alt (* x (+ -1 (* x (+ -1/2 (* x (+ -1/3 (* x -1/4)))))))>
#<alt (+ -1 (* x (+ -1/2 (* x (+ -1/3 (* x -1/4))))))>
#<alt (* x (+ -1/2 (* x (+ -1/3 (* x -1/4)))))>
#<alt (* x -5/12)>
#<alt (* x -1/3)>
#<alt (* x (+ 1/3 (* x -1/4)))>
#<alt (+ 1/3 (* x -1/4))>
#<alt (* x (+ -1/3 (* x -1/4)))>
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 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 (- (* -1/6 x) 1/2)) 1)) 1)>
#<alt (/ 4/3 x)>
#<alt (/ (+ 4/3 (* 34/9 (/ 1 x))) x)>
#<alt (/ (+ 4/3 (+ (* 34/9 (/ 1 x)) (/ 172/27 (pow x 2)))) x)>
#<alt (/ (+ 4/3 (+ (* 34/9 (/ 1 x)) (+ (* 508/81 (/ 1 (pow x 3))) (/ 172/27 (pow x 2))))) x)>
#<alt (/ 4/3 x)>
#<alt (/ (+ 4/3 (* 34/9 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 34/9 (* 172/27 (/ 1 x))) x)) 4/3) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 34/9 (+ (* 172/27 (/ 1 x)) (/ 508/81 (pow x 2)))) x)) 4/3) x))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -1/3 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* -1/3 x) 1/2)) 1))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))>
#<alt -1>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* x (- (* -1/3 x) 1/2)) 1)>
#<alt (- (* x (- (* -1/3 x) 1/2)) 1)>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))>
#<alt (* -1/2 x)>
#<alt (* x (- (* -1/3 x) 1/2))>
#<alt (* x (- (* -1/3 x) 1/2))>
#<alt (* x (- (* -1/3 x) 1/2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/3 (* 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 (* -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 (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* 1/3 x)>
#<alt (* x (+ 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)))))>
#<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)))))>
Calls

66 calls:

TimeVariablePointExpression
5.0ms
x
@0
(* x (+ -1/2 (* x -5/12)))
2.0ms
x
@inf
(/ (* x (+ -1 (* x (+ -1/2 (* x -1/3))))) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))
0.0ms
x
@-inf
(/ (* x (+ -1 (* x (+ -1/2 (* x (+ -1/3 (* x -1/4))))))) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))
0.0ms
x
@inf
(/ (* x (+ -1 (* x (+ -1/2 (* x (+ -1/3 (* x -1/4))))))) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))
0.0ms
x
@inf
(+ -1 (* x (+ -1 (* x (+ -1/2 (* x -5/12))))))

rewrite305.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
2534×fma-lowering-fma.f32
2534×fma-lowering-fma.f64
2484×*-lowering-*.f32
2484×*-lowering-*.f64
2134×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041204
1301165
22991164
08676164
Stop Event
1×iter limit
1×node limit
Counts
22 → 534
Calls
Call 1
Inputs
(log (+ 1 x))
(/ (log (+ 1 (neg x))) (log (+ 1 x)))
(log (+ 1 (neg 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 -1/3))))) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))
(* x (+ -1 (* x (+ -1/2 (* x -1/3)))))
(+ -1 (* x (+ -1/2 (* x -1/3))))
(* x (+ -1/2 (* x -1/3)))
(/ (* x (+ -1 (* x (+ -1/2 (* x (+ -1/3 (* x -1/4))))))) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))
(* x (+ -1 (* x (+ -1/2 (* x (+ -1/3 (* x -1/4)))))))
(+ -1 (* x (+ -1/2 (* x (+ -1/3 (* x -1/4))))))
(* x (+ -1/2 (* x (+ -1/3 (* x -1/4)))))
(* x -5/12)
(* x -1/3)
(* x (+ 1/3 (* x -1/4)))
(+ 1/3 (* x -1/4))
(* x (+ -1/3 (* x -1/4)))
Outputs
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.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 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(+.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) (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 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.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 x))) (log1p.f64 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 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (log.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) 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 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (log.f64 (+.f64 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))))))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(log1p.f64 x)
(log1p.f64 (-.f64 #s(literal 0 binary64) x))
(log1p.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log1p.f64 x))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (log1p.f64 x) (-.f64 #s(literal 0 binary64) (log1p.f64 x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (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 (neg.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x))) (neg.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x))))
(/.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)) (log1p.f64 x))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)))))
(/.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) (-.f64 #s(literal 0 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 (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 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(+.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) (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 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.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 x))) (log1p.f64 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 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (log.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) 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 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x))))
(-.f64 (log.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (log.f64 (+.f64 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))))))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(log1p.f64 x)
(log1p.f64 (-.f64 #s(literal 0 binary64) x))
(log1p.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))
(-.f64 #s(literal 0 binary64) x)
(neg.f64 x)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 0 binary64) x)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 x #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) x)
(+.f64 x #s(literal -1 binary64))
(+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) x)
(+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))
(-.f64 x #s(literal 1 binary64))
(-.f64 (-.f64 #s(literal 0 binary64) x) #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 #s(literal -1 binary64))))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.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 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))
(/.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 #s(literal 0 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (+.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))
(pow.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)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))
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(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) #s(literal 1/9 binary64))) (neg.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(pow.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)))) #s(literal -1 binary64))
(pow.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)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(+.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))
(+.f64 (*.f64 x (*.f64 x #s(literal -1/4 binary64))) (*.f64 x #s(literal -1/3 binary64)))
(fma.f64 x #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))
(fma.f64 x (*.f64 x #s(literal -1/4 binary64)) (*.f64 x #s(literal -1/3 binary64)))
(fma.f64 #s(literal -1/3 binary64) x (*.f64 x (*.f64 x #s(literal -1/4 binary64))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)))
(fma.f64 (*.f64 x #s(literal -1/4 binary64)) x (*.f64 x #s(literal -1/3 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) (*.f64 x #s(literal -1/3 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/4 binary64))) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))))
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(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) #s(literal -1/27 binary64)) x)) (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))
(*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) x)

simplify282.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
3936×*-lowering-*.f32
3936×*-lowering-*.f64
2504×+-lowering-+.f64
2504×+-lowering-+.f32
1502×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03562680
111962509
241462436
082482436
Stop Event
1×iter limit
1×node limit
Counts
264 → 264
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))))
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(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
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(+ (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))))
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(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
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(* -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))))))
(* -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)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* 1/3 x)
(* x (+ 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)))))
(* -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)))))
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)))
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (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 (log.f64 x) (+.f64 (/.f64 #s(literal 1 binary64) 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 (log.f64 #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) (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) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 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 x) (log.f64 #s(literal -1 binary64))) (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))))
(+.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (log.f64 x)) (/.f64 (-.f64 (/.f64 (log.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 2 binary64) (log.f64 x))) x))
(- (+ (* -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))))))
(+.f64 (+.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (log.f64 x)) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (log.f64 x))) (/.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 x)))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 3 binary64)))) (*.f64 x x)) (+.f64 (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 x (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 2 binary64)))) (*.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))))
(- (+ (* -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 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (log.f64 x)) (-.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (log.f64 x))) (/.f64 (/.f64 #s(literal 2 binary64) x) (log.f64 x))) (/.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (log.f64 x))) (/.f64 (-.f64 (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (log.f64 x))) (*.f64 (log.f64 x) (*.f64 x (*.f64 x x)))))) (+.f64 (*.f64 (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (+.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (*.f64 x x))) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 2 binary64))) (+.f64 (/.f64 (log.f64 #s(literal -1 binary64)) (*.f64 x (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))))))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 2 binary64))) (/.f64 (log.f64 #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 3 binary64)))) (*.f64 x x)))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(-.f64 #s(literal 0 binary64) (/.f64 (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 #s(literal 0 binary64) (/.f64 (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 #s(literal 0 binary64) (/.f64 (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 #s(literal 0 binary64) (/.f64 (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 (/.f64 (+.f64 (/.f64 (-.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 #s(literal 1 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 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 4 binary64))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (-.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 1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (+.f64 (/.f64 (*.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 3 binary64))) (/.f64 (*.f64 #s(literal 1/3 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 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (-.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))) (-.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) (/.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 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* -1/2 x) 1))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(*.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)))))))
(+ (log -1) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64)))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) x)))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(-.f64 (+.f64 (log.f64 x) (log.f64 #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/3 binary64) x)) (*.f64 x x)) (+.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) x))))
(* -1 (log (/ -1 x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(-.f64 (/.f64 #s(literal -1 binary64) x) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(literal 0 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
(-.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
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(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) x)))
-1
#s(literal -1 binary64)
(- (* -1/2 x) 1)
(+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 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 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))
(* -1/4 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(*.f64 (*.f64 x (*.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 x)) (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) #s(literal -1/4 binary64)))
(* -1/4 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x))))
(* -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 (*.f64 x #s(literal -1/4 binary64)) #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 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))
(* -1/4 (pow x 3))
(*.f64 x (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(*.f64 (*.f64 x (*.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 (*.f64 x (*.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 x (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* 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 #s(literal -1/4 binary64) (*.f64 x 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))))
(* (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 #s(literal -1/4 binary64) (*.f64 x 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))))
(* (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 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal 0 binary64) (*.f64 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 (- (* -1/4 x) 1/3))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
(* x (- (* -1/4 x) 1/3))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
(* x (- (* -1/4 x) 1/3))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
(* -1/4 (pow x 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 x 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 (* (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 #s(literal -1/4 binary64) (*.f64 x 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 (* (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)))

eval115.0ms (0.8%)

Compiler

Compiled 26600 to 2413 computations (90.9% saved)

prune96.0ms (0.7%)

Pruning

13 alts after pruning (6 fresh and 7 done)

PrunedKeptTotal
New8645869
Fresh011
Picked145
Done134
Total86613879
Accuracy
100.0%
Counts
879 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.5%
(/.f64 (*.f64 (+.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))))))) #s(literal 1 binary64)) (+.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 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #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 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))))
✓99.3%
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #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)))))))))
▶32.9%
(/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) #s(literal -1/4 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)))))))))
▶99.4%
(/.f64 (log1p.f64 (neg.f64 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)))))))))
✓100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
5.4%
(/.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.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)))))))))
✓3.3%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
✓99.2%
(-.f64 #s(literal -1 binary64) x)
✓99.4%
(+.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)))))))
✓99.3%
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
▶99.3%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 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)))))))))
✓98.1%
#s(literal -1 binary64)
Compiler

Compiled 433 to 294 computations (32.1% saved)

simplify237.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.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 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))
✓cost-diff0
(+.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 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 x x))
✓cost-diff128
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) #s(literal -1/4 binary64)))
✓cost-diff128
(*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) #s(literal -1/4 binary64))))
✓cost-diff384
(/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) #s(literal -1/4 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 #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 #s(literal 1 binary64) x)
✓cost-diff0
(/.f64 (/.f64 #s(literal 1 binary64) 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-diff384
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 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 -1/3 binary64))))
✓cost-diff0
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))
✓cost-diff128
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))) #s(literal 1 binary64))
✓cost-diff128
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #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 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))))
✓cost-diff0
(*.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 #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-diff128
(*.f64 (+.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))))))) #s(literal 1 binary64))
✓cost-diff128
(/.f64 (*.f64 (+.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))))))) #s(literal 1 binary64)) (+.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))))))))
Rules
2740×*-lowering-*.f32
2740×*-lowering-*.f64
1524×sum3-define
1362×+-lowering-+.f64
1362×+-lowering-+.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
046698
1147589
2531585
31766585
45093574
08104574
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (* (+ -1 (* x (+ -1/2 (* x (+ -1/3 (* x -1/4)))))) 1) (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))))
(* (+ -1 (* x (+ -1/2 (* x (+ -1/3 (* x -1/4)))))) 1)
(+ -1 (* x (+ -1/2 (* x (+ -1/3 (* x -1/4))))))
-1
(* x (+ -1/2 (* x (+ -1/3 (* x -1/4)))))
x
(+ -1/2 (* x (+ -1/3 (* x -1/4))))
-1/2
(* x (+ -1/3 (* x -1/4)))
(+ -1/3 (* x -1/4))
-1/3
(* x -1/4)
-1/4
1
(+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))
(* 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
(/ (* (+ -1 (* x (+ -1/2 (* x -1/3)))) 1) (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))))
(* (+ -1 (* x (+ -1/2 (* x -1/3)))) 1)
(+ -1 (* x (+ -1/2 (* x -1/3))))
-1
(* x (+ -1/2 (* x -1/3)))
x
(+ -1/2 (* x -1/3))
-1/2
(* x -1/3)
-1/3
1
(+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))
(* 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
(* x -1/4)
-1/4
(* (/ (/ 1 x) (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))) (* x (+ -1 (* x (+ -1/2 (* x (+ -1/3 (* x -1/4))))))))
(/ (/ 1 x) (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))))
(/ 1 x)
1
x
(+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))
(* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))
(+ -1/2 (* x (+ 1/3 (* x -1/4))))
-1/2
(* x (+ 1/3 (* x -1/4)))
(+ 1/3 (* x -1/4))
1/3
(* x -1/4)
-1/4
(* 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
(/ (* x (* (* x (* x x)) (+ (/ (+ -1/3 (/ (+ -1/2 (/ -1 x)) x)) x) -1/4))) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))
(* x (* (* x (* x x)) (+ (/ (+ -1/3 (/ (+ -1/2 (/ -1 x)) x)) x) -1/4)))
x
(* (* x (* x x)) (+ (/ (+ -1/3 (/ (+ -1/2 (/ -1 x)) x)) x) -1/4))
(* x (* x x))
(* x x)
(+ (/ (+ -1/3 (/ (+ -1/2 (/ -1 x)) x)) x) -1/4)
(/ (+ -1/3 (/ (+ -1/2 (/ -1 x)) x)) x)
(+ -1/3 (/ (+ -1/2 (/ -1 x)) x))
-1/3
(/ (+ -1/2 (/ -1 x)) x)
(+ -1/2 (/ -1 x))
-1/2
(/ -1 x)
-1
-1/4
(* 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
(* x -1/4)
(/ (log (+ 1 (neg x))) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))
(log (+ 1 (neg x)))
(neg x)
x
(* 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))))
-1/2
(* x (+ 1/3 (* x -1/4)))
(+ 1/3 (* x -1/4))
1/3
(* x -1/4)
-1/4
Outputs
(/ (* (+ -1 (* x (+ -1/2 (* x (+ -1/3 (* x -1/4)))))) 1) (+ 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 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 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 (+ -1/3 (* x -1/4)))))) 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 (* 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 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 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 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))
x
(+ -1/2 (* x (+ -1/3 (* x -1/4))))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
-1/2
#s(literal -1/2 binary64)
(* x (+ -1/3 (* x -1/4)))
(*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(+ -1/3 (* x -1/4))
(+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
-1/3
#s(literal -1/3 binary64)
(* x -1/4)
(*.f64 x #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
1
#s(literal 1 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))))))
(* 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)
(/ (* (+ -1 (* x (+ -1/2 (* x -1/3)))) 1) (+ 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 #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 -1/3)))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))
(+ -1 (* x (+ -1/2 (* x -1/3))))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))
-1
#s(literal -1 binary64)
(* x (+ -1/2 (* x -1/3)))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))
x
(+ -1/2 (* x -1/3))
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))
-1/2
#s(literal -1/2 binary64)
(* x -1/3)
(*.f64 x #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
1
#s(literal 1 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))))))
(* 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)
(* x -1/4)
(*.f64 x #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
(* (/ (/ 1 x) (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))) (* 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 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 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 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))))
(/.f64 (/.f64 #s(literal 1 binary64) 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)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(+ 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))))))
(* 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))))
-1/2
#s(literal -1/2 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)
(* x -1/4)
(*.f64 x #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 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 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 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 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 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 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))
(+ -1/2 (* x (+ -1/3 (* x -1/4))))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))
(* x (+ -1/3 (* x -1/4)))
(*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(+ -1/3 (* x -1/4))
(+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
-1/3
#s(literal -1/3 binary64)
(/ (* x (* (* x (* x x)) (+ (/ (+ -1/3 (/ (+ -1/2 (/ -1 x)) x)) x) -1/4))) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))
(*.f64 (+.f64 (*.f64 x #s(literal -1/4 binary64)) (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) (/.f64 (*.f64 x 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 (* (* x (* x x)) (+ (/ (+ -1/3 (/ (+ -1/2 (/ -1 x)) x)) x) -1/4)))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 x #s(literal -1/4 binary64)) (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
x
(* (* x (* x x)) (+ (/ (+ -1/3 (/ (+ -1/2 (/ -1 x)) x)) x) -1/4))
(*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal -1/4 binary64)) (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))))
(* x (* x x))
(*.f64 x (*.f64 x x))
(* x x)
(*.f64 x x)
(+ (/ (+ -1/3 (/ (+ -1/2 (/ -1 x)) x)) x) -1/4)
(+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x))
(/ (+ -1/3 (/ (+ -1/2 (/ -1 x)) x)) x)
(/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)
(+ -1/3 (/ (+ -1/2 (/ -1 x)) x))
(+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))
-1/3
#s(literal -1/3 binary64)
(/ (+ -1/2 (/ -1 x)) x)
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(+ -1/2 (/ -1 x))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))
-1/2
#s(literal -1/2 binary64)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
-1/4
#s(literal -1/4 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)
(* x -1/4)
(*.f64 x #s(literal -1/4 binary64))
(/ (log (+ 1 (neg x))) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))
(/.f64 (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) 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)))))))
(log (+ 1 (neg x)))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(neg x)
(-.f64 #s(literal 0 binary64) x)
x
(* 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))))
-1/2
#s(literal -1/2 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)
(* x -1/4)
(*.f64 x #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)

localize728.0ms (5%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.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 (log1p.f64 (neg.f64 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)))))))))
✓accuracy99.9%
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
✓accuracy99.6%
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
✓accuracy99.9%
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)
✓accuracy99.8%
(/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)
✓accuracy99.6%
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
✓accuracy58.3%
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) #s(literal -1/4 binary64)))
✓accuracy99.9%
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
✓accuracy99.8%
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 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)))))))))
✓accuracy99.6%
(*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
✓accuracy99.6%
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))
✓accuracy99.9%
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
✓accuracy99.6%
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
✓accuracy99.5%
(*.f64 x #s(literal -1/3 binary64))
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))
✓accuracy99.9%
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
✓accuracy99.6%
(*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
✓accuracy99.6%
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
Results
350.0ms187×1valid
188.0ms63×5exit
16.0ms6×0valid
Compiler

Compiled 724 to 46 computations (93.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 335.0ms
ival-mult: 96.0ms (28.7% of total)
backward-pass: 66.0ms (19.7% of total)
ival-div: 58.0ms (17.3% of total)
ival-add: 37.0ms (11.1% of total)
compiled-spec: 31.0ms (9.3% of total)
ival-log: 24.0ms (7.2% of total)
...c/correct-round.rkt:119:19: 18.0ms (5.4% of total)
ival-neg: 3.0ms (0.9% of total)
const: 2.0ms (0.6% of total)

series12.0ms (0.1%)

Counts
26 → 312
Calls
Call 1
Inputs
#<alt (/ (* (+ -1 (* x (+ -1/2 (* x (+ -1/3 (* x -1/4)))))) 1) (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))))>
#<alt (* (+ -1 (* x (+ -1/2 (* x (+ -1/3 (* x -1/4)))))) 1)>
#<alt (+ -1 (* x (+ -1/2 (* x (+ -1/3 (* x -1/4))))))>
#<alt (* x (+ -1/2 (* x (+ -1/3 (* x -1/4)))))>
#<alt (/ (* (+ -1 (* x (+ -1/2 (* x -1/3)))) 1) (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))))>
#<alt (* (+ -1 (* x (+ -1/2 (* x -1/3)))) 1)>
#<alt (+ -1 (* x (+ -1/2 (* x -1/3))))>
#<alt (* x (+ -1/2 (* x -1/3)))>
#<alt (* (/ (/ 1 x) (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))) (* x (+ -1 (* x (+ -1/2 (* x (+ -1/3 (* x -1/4))))))))>
#<alt (/ (/ 1 x) (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))))>
#<alt (/ 1 x)>
#<alt (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))>
#<alt (/ (* x (* (* x (* x x)) (+ (/ (+ -1/3 (/ (+ -1/2 (/ -1 x)) x)) x) -1/4))) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))>
#<alt (* x (* (* x (* x x)) (+ (/ (+ -1/3 (/ (+ -1/2 (/ -1 x)) x)) x) -1/4)))>
#<alt (* (* x (* x x)) (+ (/ (+ -1/3 (/ (+ -1/2 (/ -1 x)) x)) x) -1/4))>
#<alt (* x (* x x))>
#<alt (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))))>
#<alt (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))>
#<alt (+ -1/2 (* x (+ 1/3 (* x -1/4))))>
#<alt (* x (+ 1/3 (* x -1/4)))>
#<alt (* x (+ -1/3 (* x -1/4)))>
#<alt (+ 1/3 (* x -1/4))>
#<alt (* x -1/3)>
#<alt (/ (+ -1/3 (/ (+ -1/2 (/ -1 x)) x)) x)>
#<alt (/ (+ -1/2 (/ -1 x)) x)>
#<alt (/ (log (+ 1 (neg x))) (* x (+ 1 (* x (+ -1/2 (* x (+ 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>
#<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>
#<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 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -1/6 x) 1/2)) 1)) 1)>
#<alt (/ 4/3 x)>
#<alt (/ (+ 4/3 (* 34/9 (/ 1 x))) x)>
#<alt (/ (+ 4/3 (+ (* 34/9 (/ 1 x)) (/ 172/27 (pow x 2)))) x)>
#<alt (/ (+ 4/3 (+ (* 34/9 (/ 1 x)) (+ (* 508/81 (/ 1 (pow x 3))) (/ 172/27 (pow x 2))))) x)>
#<alt (/ 4/3 x)>
#<alt (/ (+ 4/3 (* 34/9 (/ 1 x))) x)>
#<alt (* -1 (/ (- (* -1 (/ (+ 34/9 (* 172/27 (/ 1 x))) x)) 4/3) x))>
#<alt (* -1 (/ (- (* -1 (/ (+ 34/9 (+ (* 172/27 (/ 1 x)) (/ 508/81 (pow x 2)))) x)) 4/3) x))>
#<alt -1>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* x (- (* -1/3 x) 1/2)) 1)>
#<alt (- (* x (- (* -1/3 x) 1/2)) 1)>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))>
#<alt -1>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* x (- (* -1/3 x) 1/2)) 1)>
#<alt (- (* x (- (* -1/3 x) 1/2)) 1)>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))>
#<alt (* -1/2 x)>
#<alt (* x (- (* -1/3 x) 1/2))>
#<alt (* x (- (* -1/3 x) 1/2))>
#<alt (* x (- (* -1/3 x) 1/2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/3 (* 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 (/ (+ 1 (* 1/2 x)) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* -1/12 x)))) x)>
#<alt (/ (+ 1 (* x (+ 1/2 (* x (- (* 1/24 x) 1/12))))) x)>
#<alt (/ -4 (pow x 4))>
#<alt (* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 4)))>
#<alt (/ (- (/ 8/9 (pow x 2)) (+ 4 (* 16/3 (/ 1 x)))) (pow x 4))>
#<alt (/ (- (/ 8/9 (pow x 2)) (+ 4 (+ (* 16/3 (/ 1 x)) (* 112/27 (/ 1 (pow x 3)))))) (pow x 4))>
#<alt (/ -4 (pow x 4))>
#<alt (* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 4)))>
#<alt (/ (- (* -1 (/ (- 16/3 (* 8/9 (/ 1 x))) x)) 4) (pow x 4))>
#<alt (/ (- (* -1 (/ (+ 16/3 (* -1 (/ (- 8/9 (* 112/27 (/ 1 x))) x))) x)) 4) (pow x 4))>
#<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 (* -1/2 x))>
#<alt (+ 1 (* x (- (* 1/3 x) 1/2)))>
#<alt (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))>
#<alt (* -1/4 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<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 (/ (- 1/3 (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))) 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 (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt x>
#<alt (* x (+ 1 (* -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 (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* -1/4 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))>
#<alt (* -1/2 x)>
#<alt (* x (- (* 1/3 x) 1/2))>
#<alt (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))>
#<alt (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))>
#<alt (* -1/4 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<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 (/ (- 1/3 (* 1/2 (/ 1 x))) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x)))))>
#<alt -1/2>
#<alt (- (* 1/3 x) 1/2)>
#<alt (- (* x (+ 1/3 (* -1/4 x))) 1/2)>
#<alt (- (* x (+ 1/3 (* -1/4 x))) 1/2)>
#<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 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))>
#<alt (* -1/4 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))>
#<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 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 (+ 1/3 (* -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)))))>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (/ -1 (pow x 3))>
#<alt (/ (- (* -1/2 x) 1) (pow x 3))>
#<alt (/ (- (* x (- (* -1/3 x) 1/2)) 1) (pow x 3))>
#<alt (/ (- (* x (- (* -1/3 x) 1/2)) 1) (pow x 3))>
#<alt (/ -1/3 x)>
#<alt (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x))>
#<alt (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)>
#<alt (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)>
#<alt (/ -1/3 x)>
#<alt (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (* -1/2 x) 1) (pow x 2))>
#<alt (/ (- (* -1/2 x) 1) (pow x 2))>
#<alt (/ (- (* -1/2 x) 1) (pow x 2))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (+ 1/2 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 1/2 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 1/2 (/ 1 x)) x))>
#<alt (/ -1/2 x)>
#<alt (* -1 (/ (+ 1/2 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 1/2 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 1/2 (/ 1 x)) 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 (* -4 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 4)))>
#<alt (/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (* 4 (/ 1 x))) (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x))) (pow x 4))>
#<alt (/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (+ (* 4 (/ 1 x)) (/ 2 (pow x 2)))) (+ (* -8 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 2))) (+ (* -4/3 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 2))) (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x))))) (pow x 4))>
#<alt (/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (+ (* 4 (/ 1 x)) (+ (* 4/3 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) (+ (* -8 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 2))) (+ (* -4/3 (/ (- 2 (+ (* -8 (+ (log -1) (* -1 (log (/ 1 x))))) (* -4/3 (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x))))))))) (pow x 3))) (+ (* -4/3 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 2))) (+ (* 2 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 3))) (+ (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x)) (* 16 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 3))))))))) (pow x 4))>
#<alt (* 4 (/ (log (/ -1 x)) (pow x 4)))>
#<alt (/ (- (+ (* 4 (log (/ -1 x))) (* 4 (/ 1 x))) (* -16/3 (/ (log (/ -1 x)) x))) (pow x 4))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (- 4 (* -16/3 (log (/ -1 x))))) (* -1 (/ (+ 2 (+ (* -8 (log (/ -1 x))) (* 4/3 (- 4 (* -16/3 (log (/ -1 x))))))) x))) x)) (* 4 (log (/ -1 x)))) (pow x 4))>
#<alt (/ (+ (* -1 (/ (+ (* -1 (- 4 (* -16/3 (log (/ -1 x))))) (* -1 (/ (- (+ 2 (+ (* -8 (log (/ -1 x))) (+ (* 4/3 (- 4 (* -16/3 (log (/ -1 x))))) (* 4/3 (/ 1 x))))) (+ (* -16 (/ (log (/ -1 x)) x)) (+ (* -4/3 (/ (+ 2 (+ (* -8 (log (/ -1 x))) (* 4/3 (- 4 (* -16/3 (log (/ -1 x))))))) x)) (* 2 (/ (- 4 (* -16/3 (log (/ -1 x)))) x))))) x))) x)) (* 4 (log (/ -1 x)))) (pow x 4))>
Calls

78 calls:

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

rewrite351.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
3328×*-lowering-*.f32
3328×*-lowering-*.f64
2272×fma-lowering-fma.f32
2272×fma-lowering-fma.f64
2016×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046338
1336284
23260280
08397280
Stop Event
1×iter limit
1×node limit
Counts
26 → 699
Calls
Call 1
Inputs
(/ (* (+ -1 (* x (+ -1/2 (* x (+ -1/3 (* x -1/4)))))) 1) (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))))
(* (+ -1 (* x (+ -1/2 (* x (+ -1/3 (* x -1/4)))))) 1)
(+ -1 (* x (+ -1/2 (* x (+ -1/3 (* x -1/4))))))
(* x (+ -1/2 (* x (+ -1/3 (* x -1/4)))))
(/ (* (+ -1 (* x (+ -1/2 (* x -1/3)))) 1) (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))))
(* (+ -1 (* x (+ -1/2 (* x -1/3)))) 1)
(+ -1 (* x (+ -1/2 (* x -1/3))))
(* x (+ -1/2 (* x -1/3)))
(* (/ (/ 1 x) (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))) (* x (+ -1 (* x (+ -1/2 (* x (+ -1/3 (* x -1/4))))))))
(/ (/ 1 x) (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))))
(/ 1 x)
(+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))
(/ (* x (* (* x (* x x)) (+ (/ (+ -1/3 (/ (+ -1/2 (/ -1 x)) x)) x) -1/4))) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))
(* x (* (* x (* x x)) (+ (/ (+ -1/3 (/ (+ -1/2 (/ -1 x)) x)) x) -1/4)))
(* (* x (* x x)) (+ (/ (+ -1/3 (/ (+ -1/2 (/ -1 x)) x)) x) -1/4))
(* x (* x x))
(* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))))
(* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))
(+ -1/2 (* x (+ 1/3 (* x -1/4))))
(* x (+ 1/3 (* x -1/4)))
(* x (+ -1/3 (* x -1/4)))
(+ 1/3 (* x -1/4))
(* x -1/3)
(/ (+ -1/3 (/ (+ -1/2 (/ -1 x)) x)) x)
(/ (+ -1/2 (/ -1 x)) x)
(/ (log (+ 1 (neg x))) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))
Outputs
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 0 binary64) x)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))))
(+.f64 (*.f64 (/.f64 #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))))))) #s(literal -1 binary64)) (*.f64 (/.f64 #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 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))))
(+.f64 (*.f64 (/.f64 #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 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))) (*.f64 (/.f64 #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))))))) #s(literal -1 binary64)))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) 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 (*.f64 x (*.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 #s(literal 1 binary64) 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 (*.f64 #s(literal -1 binary64) (/.f64 #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 -1/2 binary64) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) (/.f64 #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 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) (/.f64 #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 #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)))))))))
(exp.f64 (*.f64 (log.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)))))) (+.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))))))))) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #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 -1/2 binary64) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) (/.f64 #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)))))))))
(fma.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) (/.f64 #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 #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)))))))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 #s(literal 0 binary64) x) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) 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 (*.f64 x (*.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 #s(literal 1 binary64) 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)))))))))
(fma.f64 (/.f64 #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))))))) #s(literal -1 binary64) (*.f64 (/.f64 #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 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))))
(fma.f64 (/.f64 #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 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) (*.f64 (/.f64 #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))))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (+.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 #s(literal 0 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)))))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.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 #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) (neg.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)))))) (+.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 #s(literal 1 binary64) (/.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 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))))
(/.f64 (+.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 #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 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))) (*.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 (-.f64 #s(literal 0 binary64) (+.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 #s(literal 0 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 #s(literal -1 binary64) (*.f64 (*.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 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x (*.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 #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 (*.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 -1/2 binary64) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x (*.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 #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 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.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 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.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 -1/2 binary64) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 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 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))))) #s(literal 1 binary64)) (*.f64 (-.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 #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))))))))
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(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.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 (neg.f64 (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) x)) (-.f64 #s(literal 0 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 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (*.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 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 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 (log.f64 (-.f64 #s(literal 1 binary64) 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)
(pow.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)))))) (/.f64 x (log.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))
(pow.f64 (/.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)))))) (/.f64 x (log.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.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)))))) (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.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 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.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)))))) (log.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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))))))) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) 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))))))) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) 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 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.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 (/.f64 #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 (log.f64 (-.f64 #s(literal 1 binary64) x)) x))
(*.f64 (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) x) (/.f64 #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 (log.f64 (-.f64 #s(literal 1 binary64) x)) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.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 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))) (*.f64 x (*.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 (*.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 -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))) #s(literal 1 binary64)))))
(*.f64 (/.f64 (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) x) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))) (*.f64 x (*.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)))))))

simplify383.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
3676×*-lowering-*.f32
3676×*-lowering-*.f64
2820×+-lowering-+.f64
2820×+-lowering-+.f32
1536×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03612827
111402659
237832588
084492588
Stop Event
1×iter limit
1×node limit
Counts
312 → 312
Calls
Call 1
Inputs
-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
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(- (* x (- (* -1/3 x) 1/2)) 1)
(- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)
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(* -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)
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(* x (- (* x (- (* -1/4 x) 1/3)) 1/2))
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(* -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))
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(* -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))))))
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(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -1/6 x) 1/2)) 1)) 1)
(/ 4/3 x)
(/ (+ 4/3 (* 34/9 (/ 1 x))) x)
(/ (+ 4/3 (+ (* 34/9 (/ 1 x)) (/ 172/27 (pow x 2)))) x)
(/ (+ 4/3 (+ (* 34/9 (/ 1 x)) (+ (* 508/81 (/ 1 (pow x 3))) (/ 172/27 (pow x 2))))) x)
(/ 4/3 x)
(/ (+ 4/3 (* 34/9 (/ 1 x))) x)
(* -1 (/ (- (* -1 (/ (+ 34/9 (* 172/27 (/ 1 x))) x)) 4/3) x))
(* -1 (/ (- (* -1 (/ (+ 34/9 (+ (* 172/27 (/ 1 x)) (/ 508/81 (pow x 2)))) x)) 4/3) x))
-1
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(- (* x (- (* -1/3 x) 1/2)) 1)
(- (* x (- (* -1/3 x) 1/2)) 1)
(* -1/3 (pow x 2))
(* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))
(* -1/3 (pow x 2))
(* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))
-1
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(- (* x (- (* -1/3 x) 1/2)) 1)
(- (* x (- (* -1/3 x) 1/2)) 1)
(* -1/3 (pow x 2))
(* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))
(* -1/3 (pow x 2))
(* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))
(* -1/2 x)
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(* -1/3 (pow x 2))
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(* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))
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(* -1/3 (pow x 2))
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(* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 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)))
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(+ 1 (+ (* 8/3 (/ 1 x)) (+ (* 200/27 (/ 1 (pow x 3))) (/ 32/9 (pow x 2)))))
1
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(/ 1 x)
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(/ (+ 1 (* x (+ 1/2 (* -1/12 x)))) x)
(/ (+ 1 (* x (+ 1/2 (* x (- (* 1/24 x) 1/12))))) x)
(/ -4 (pow x 4))
(* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 4)))
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(/ (- (/ 8/9 (pow x 2)) (+ 4 (+ (* 16/3 (/ 1 x)) (* 112/27 (/ 1 (pow x 3)))))) (pow x 4))
(/ -4 (pow x 4))
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(/ (- (* -1 (/ (- 16/3 (* 8/9 (/ 1 x))) x)) 4) (pow x 4))
(/ (- (* -1 (/ (+ 16/3 (* -1 (/ (- 8/9 (* 112/27 (/ 1 x))) x))) x)) 4) (pow x 4))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
1
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(* -1/4 (pow x 3))
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))
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-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)))
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1
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(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
x
(* x (+ 1 (* -1/2 x)))
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(* -1/4 (pow x 4))
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-1/2
(- (* 1/3 x) 1/2)
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1/3
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(/ -1 (pow x 3))
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(/ (- (* x (- (* -1/3 x) 1/2)) 1) (pow x 3))
(/ (- (* x (- (* -1/3 x) 1/2)) 1) (pow x 3))
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(* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x))
(* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x))
(/ -1 (pow x 2))
(/ (- (* -1/2 x) 1) (pow x 2))
(/ (- (* -1/2 x) 1) (pow x 2))
(/ (- (* -1/2 x) 1) (pow x 2))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(/ -1/2 x)
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(* -1 (/ (+ 1/2 (/ 1 x)) x))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -4 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 4)))
(/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (* 4 (/ 1 x))) (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x))) (pow x 4))
(/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (+ (* 4 (/ 1 x)) (/ 2 (pow x 2)))) (+ (* -8 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 2))) (+ (* -4/3 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 2))) (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x))))) (pow x 4))
(/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (+ (* 4 (/ 1 x)) (+ (* 4/3 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) (+ (* -8 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 2))) (+ (* -4/3 (/ (- 2 (+ (* -8 (+ (log -1) (* -1 (log (/ 1 x))))) (* -4/3 (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x))))))))) (pow x 3))) (+ (* -4/3 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 2))) (+ (* 2 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 3))) (+ (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x)) (* 16 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 3))))))))) (pow x 4))
(* 4 (/ (log (/ -1 x)) (pow x 4)))
(/ (- (+ (* 4 (log (/ -1 x))) (* 4 (/ 1 x))) (* -16/3 (/ (log (/ -1 x)) x))) (pow x 4))
(/ (+ (* -1 (/ (+ (* -1 (- 4 (* -16/3 (log (/ -1 x))))) (* -1 (/ (+ 2 (+ (* -8 (log (/ -1 x))) (* 4/3 (- 4 (* -16/3 (log (/ -1 x))))))) x))) x)) (* 4 (log (/ -1 x)))) (pow x 4))
(/ (+ (* -1 (/ (+ (* -1 (- 4 (* -16/3 (log (/ -1 x))))) (* -1 (/ (- (+ 2 (+ (* -8 (log (/ -1 x))) (+ (* 4/3 (- 4 (* -16/3 (log (/ -1 x))))) (* 4/3 (/ 1 x))))) (+ (* -16 (/ (log (/ -1 x)) x)) (+ (* -4/3 (/ (+ 2 (+ (* -8 (log (/ -1 x))) (* 4/3 (- 4 (* -16/3 (log (/ -1 x))))))) x)) (* 2 (/ (- 4 (* -16/3 (log (/ -1 x)))) x))))) x))) x)) (* 4 (log (/ -1 x)))) (pow x 4))
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)))))))
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 (/.f64 #s(literal 8/3 binary64) x) (+.f64 #s(literal 1 binary64) (/.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 (/.f64 #s(literal 8/3 binary64) x) (+.f64 #s(literal 1 binary64) (/.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 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) 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))))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) 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 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1/3 binary64) x)))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 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 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) 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))))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) 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 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1/3 binary64) x)))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))))
(* -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 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) 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))))
(* (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 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1/3 binary64) x)))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) (/.f64 #s(literal -1/3 binary64) x)))
-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 (- (* -1/6 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 -1/6 binary64)))))))
(/ 4/3 x)
(/.f64 #s(literal 4/3 binary64) x)
(/ (+ 4/3 (* 34/9 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 34/9 binary64) x)) x)
(/ (+ 4/3 (+ (* 34/9 (/ 1 x)) (/ 172/27 (pow x 2)))) x)
(/.f64 (+.f64 (/.f64 #s(literal 34/9 binary64) x) (+.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 172/27 binary64) (*.f64 x x)))) x)
(/ (+ 4/3 (+ (* 34/9 (/ 1 x)) (+ (* 508/81 (/ 1 (pow x 3))) (/ 172/27 (pow x 2))))) x)
(/.f64 (+.f64 (+.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 34/9 binary64) x)) (+.f64 (/.f64 #s(literal 172/27 binary64) (*.f64 x x)) (/.f64 #s(literal 508/81 binary64) (*.f64 x (*.f64 x x))))) x)
(/ 4/3 x)
(/.f64 #s(literal 4/3 binary64) x)
(/ (+ 4/3 (* 34/9 (/ 1 x))) x)
(/.f64 (+.f64 #s(literal 4/3 binary64) (/.f64 #s(literal 34/9 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (+ 34/9 (* 172/27 (/ 1 x))) x)) 4/3) x))
(/.f64 (-.f64 #s(literal -4/3 binary64) (/.f64 (+.f64 #s(literal 34/9 binary64) (/.f64 #s(literal 172/27 binary64) x)) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (- (* -1 (/ (+ 34/9 (+ (* 172/27 (/ 1 x)) (/ 508/81 (pow x 2)))) x)) 4/3) x))
(/.f64 (-.f64 #s(literal -4/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 172/27 binary64) x) (+.f64 #s(literal 34/9 binary64) (/.f64 #s(literal 508/81 binary64) (*.f64 x x)))) x)) (-.f64 #s(literal 0 binary64) 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 (- (* -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)))))
(* -1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/3 binary64))
(* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))
(*.f64 x (*.f64 x (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))
(*.f64 x (*.f64 x (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))))
(* -1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/3 binary64))
(* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))
(*.f64 x (*.f64 x (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))
(*.f64 x (*.f64 x (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) 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 (- (* -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)))))
(* -1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/3 binary64))
(* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))
(*.f64 x (*.f64 x (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))
(*.f64 x (*.f64 x (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))))
(* -1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/3 binary64))
(* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))
(*.f64 x (*.f64 x (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3))
(*.f64 x (*.f64 x (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))))
(* -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 (- (* -1/3 x) 1/2))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))
(* x (- (* -1/3 x) 1/2))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/3 binary64))
(* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* -1/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/3 binary64))
(* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* -1 (* (pow x 2) (+ 1/3 (* 1/2 (/ 1 x)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
-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 (/.f64 #s(literal 8/3 binary64) x) (+.f64 #s(literal 1 binary64) (/.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))
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(* (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 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 x (*.f64 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 x (*.f64 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
#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 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 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(/ -1 (pow x 3))
(/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))
(/ (- (* -1/2 x) 1) (pow x 3))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x x))
(/ (- (* x (- (* -1/3 x) 1/2)) 1) (pow x 3))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(/ (- (* x (- (* -1/3 x) 1/2)) 1) (pow x 3))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(/ -1/3 x)
(/.f64 #s(literal -1/3 binary64) x)
(* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)
(/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)
(/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)
(/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(/ -1/3 x)
(/.f64 #s(literal -1/3 binary64) x)
(* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x))
(/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)
(* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (* -1/2 x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* -1/2 x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* -1/2 x) 1) (pow x 2))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) 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)) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) 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)) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 1/2 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)
-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)))))))
(* -4 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 4)))
(*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64))))
(/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (* 4 (/ 1 x))) (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x))) (pow x 4))
(/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -16/3 binary64))) x)) (pow.f64 x #s(literal 4 binary64)))
(/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (+ (* 4 (/ 1 x)) (/ 2 (pow x 2)))) (+ (* -8 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 2))) (+ (* -4/3 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 2))) (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x))))) (pow x 4))
(/.f64 (+.f64 (-.f64 (+.f64 (*.f64 #s(literal -4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))) (+.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (+.f64 (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (/.f64 #s(literal 16/3 binary64) x)) (*.f64 #s(literal -4/3 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -16/3 binary64))) (*.f64 x x))))) (*.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (*.f64 x x)) #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64)))
(/ (- (+ (* -4 (+ (log -1) (* -1 (log (/ 1 x))))) (+ (* 4 (/ 1 x)) (+ (* 4/3 (/ 1 (pow x 3))) (/ 2 (pow x 2))))) (+ (* -8 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 2))) (+ (* -4/3 (/ (- 2 (+ (* -8 (+ (log -1) (* -1 (log (/ 1 x))))) (* -4/3 (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x))))))))) (pow x 3))) (+ (* -4/3 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 2))) (+ (* 2 (/ (- 4 (* 16/3 (+ (log -1) (* -1 (log (/ 1 x)))))) (pow x 3))) (+ (* 16/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) x)) (* 16 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow x 3))))))))) (pow x 4))
(/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x))) (-.f64 (+.f64 (/.f64 #s(literal 4 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (/.f64 #s(literal 4/3 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 #s(literal -4/3 binary64) (+.f64 (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal 8 binary64))) (*.f64 #s(literal 4/3 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -16/3 binary64))))) (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -16/3 binary64))) (*.f64 x x)))) (+.f64 (+.f64 (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (/.f64 #s(literal 16/3 binary64) x)) (+.f64 (*.f64 (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (*.f64 x x)) (/.f64 #s(literal 16 binary64) x)) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) #s(literal -16/3 binary64)))) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 x)) (/.f64 #s(literal -8 binary64) (*.f64 x x))))))) (pow.f64 x #s(literal 4 binary64)))
(* 4 (/ (log (/ -1 x)) (pow x 4)))
(*.f64 #s(literal 4 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal 4 binary64))))
(/ (- (+ (* 4 (log (/ -1 x))) (* 4 (/ 1 x))) (* -16/3 (/ (log (/ -1 x)) x))) (pow x 4))
(/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 16/3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x)) (pow.f64 x #s(literal 4 binary64)))
(/ (+ (* -1 (/ (+ (* -1 (- 4 (* -16/3 (log (/ -1 x))))) (* -1 (/ (+ 2 (+ (* -8 (log (/ -1 x))) (* 4/3 (- 4 (* -16/3 (log (/ -1 x))))))) x))) x)) (* 4 (log (/ -1 x)))) (pow x 4))
(/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 16/3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -8 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 #s(literal 16/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 16/3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))))) x)) x)) (pow.f64 x #s(literal 4 binary64)))
(/ (+ (* -1 (/ (+ (* -1 (- 4 (* -16/3 (log (/ -1 x))))) (* -1 (/ (- (+ 2 (+ (* -8 (log (/ -1 x))) (+ (* 4/3 (- 4 (* -16/3 (log (/ -1 x))))) (* 4/3 (/ 1 x))))) (+ (* -16 (/ (log (/ -1 x)) x)) (+ (* -4/3 (/ (+ 2 (+ (* -8 (log (/ -1 x))) (* 4/3 (- 4 (* -16/3 (log (/ -1 x))))))) x)) (* 2 (/ (- 4 (* -16/3 (log (/ -1 x)))) x))))) x))) x)) (* 4 (log (/ -1 x)))) (pow x 4))
(/.f64 (+.f64 (*.f64 #s(literal 4 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 16/3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -8 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 (+.f64 (+.f64 #s(literal 16/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 16/3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (/.f64 #s(literal 4/3 binary64) x)) (-.f64 (*.f64 #s(literal 16 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) x)) (+.f64 (/.f64 (*.f64 #s(literal -4/3 binary64) (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -8 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 #s(literal 16/3 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 16/3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x)))))))) x) (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 16/3 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))))) x)))))) x)) x)) (pow.f64 x #s(literal 4 binary64)))

eval286.0ms (2%)

Compiler

Compiled 67749 to 3632 computations (94.6% saved)

prune211.0ms (1.4%)

Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New180341807
Fresh101
Picked505
Done167
Total1810101820
Accuracy
100.0%
Counts
1820 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f64 (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) #s(literal -1 binary64)) (+.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))))))))
99.2%
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
33.0%
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) 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)))))))
32.9%
(/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) #s(literal -1/4 binary64)))) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.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 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))) (*.f64 x (*.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 -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))) (*.f64 x (*.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))))))))))
✓100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓3.3%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
✓99.2%
(-.f64 #s(literal -1 binary64) x)
✓99.4%
(+.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)))))))
✓99.3%
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
✓98.1%
#s(literal -1 binary64)
Compiler

Compiled 744 to 232 computations (68.8% saved)

regimes16.0ms (0.1%)

Counts
23 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) x)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 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 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #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 #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 #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 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) #s(literal -1 binary64)) (+.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 (+.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))))))) #s(literal 1 binary64)) (+.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 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 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 (/.f64 #s(literal 1 binary64) 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 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 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) 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 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) #s(literal -1/4 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 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) #s(literal -1/4 binary64)))) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.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 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))) (*.f64 x (*.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 -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))) (*.f64 x (*.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))))))))))
(/.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 #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))))))) (log1p.f64 x))
(/.f64 (log1p.f64 (neg.f64 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 (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 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.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)))
Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Calls

2 calls:

7.0ms
x
6.0ms
(/.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)

regimes9.0ms (0.1%)

Counts
19 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) x)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 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 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #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 #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 #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 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) #s(literal -1 binary64)) (+.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 (+.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))))))) #s(literal 1 binary64)) (+.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 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 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 (/.f64 #s(literal 1 binary64) 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 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 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) 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 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) #s(literal -1/4 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 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) #s(literal -1/4 binary64)))) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.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 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))) (*.f64 x (*.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 -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))) (*.f64 x (*.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))))))))))
(/.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 #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))))))) (log1p.f64 x))
(/.f64 (log1p.f64 (neg.f64 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 (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 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.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 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) #s(literal -1 binary64)) (+.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))))))))
Calls

1 calls:

8.0ms
x
Results
AccuracySegmentsBranch
99.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
7 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) x)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 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 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #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 #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 #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)))))))))
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:

3.0ms
x
Results
AccuracySegmentsBranch
99.4%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 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
Outputs
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.3%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
99.2%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)

simplify9.0ms (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 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) #s(literal -1 binary64)) (+.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 #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 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 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 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) #s(literal -1 binary64)) (+.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 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 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 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)

soundness2.1s (14.2%)

Rules
4134×+-lowering-+.f64
4134×+-lowering-+.f32
3454×+-lowering-+.f64
3454×+-lowering-+.f32
3328×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041204
1301165
22991164
08676164
04472747
115372461
255912405
081322405
02171971
17391725
224331593
083841593
033119
1233103
2214696
0928496
0726
13724
225624
3232222
01127822
046338
1336284
23260280
08397280
077
1136
2186
3246
4336
5466
6636
7816
8986
91006
01006
Stop Event
1×fuel
1×iter limit
1×saturated
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×node limit
1×iter limit
1×node limit
Compiler

Compiled 196 to 131 computations (33.2% saved)

preprocess58.0ms (0.4%)

Compiler

Compiled 156 to 96 computations (38.5% saved)

end0.0ms (0%)

Profiling

Loading profile data...