qlog (example 3.10)

Time bar (total: 14.3s)

analyze495.0ms (3.5%)

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: 126.0ms (55.2% of total)
ival-sub: 25.0ms (11% of total)
ival-fabs: 24.0ms (10.5% of total)
ival-add: 22.0ms (9.6% of total)
ival-div: 14.0ms (6.1% of total)
ival-<=: 14.0ms (6.1% of total)
const: 2.0ms (0.9% of total)
backward-pass: 2.0ms (0.9% of total)

sample5.5s (38.2%)

Results
3.7s3835×2valid
1.4s4171×1valid
48.0ms250×0valid
Precisions
Click to see histograms. Total time spent on operations: 4.4s
ival-log: 2.8s (62.8% of total)
backward-pass: 641.0ms (14.5% of total)
ival-div: 317.0ms (7.2% of total)
ival-add: 242.0ms (5.5% of total)
ival-sub: 241.0ms (5.5% of total)
ival-<=: 99.0ms (2.2% of total)
ival-fabs: 84.0ms (1.9% of total)
const: 17.0ms (0.4% of total)
Bogosity

preprocess26.0ms (0.2%)

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

Useful iterations: 1 (0.0ms)

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

explain304.0ms (2.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2550-1(0.012288479122418582)(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
161.0ms202×2valid
97.0ms300×1valid
1.0ms10×0valid
Compiler

Compiled 64 to 23 computations (64.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 186.0ms
ival-log: 140.0ms (75.1% of total)
backward-pass: 19.0ms (10.2% of total)
ival-sub: 10.0ms (5.4% of total)
ival-div: 8.0ms (4.3% of total)
ival-add: 8.0ms (4.3% of total)
const: 2.0ms (1.1% of total)

eval0.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶5.7%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
▶3.8%
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

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

Useful iterations: 1 (0.0ms)

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

localize238.0ms (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))
✓accuracy25.9%
(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)))
✓accuracy25.9%
(log.f64 (-.f64 #s(literal 1 binary64) x))
✓accuracy25.8%
(log.f64 (+.f64 #s(literal 1 binary64) x))
Results
81.0ms151×1valid
79.0ms50×5exit
53.0ms51×2valid
1.0ms4×0valid
Compiler

Compiled 45 to 10 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 165.0ms
ival-log: 95.0ms (57.5% of total)
compiled-spec: 29.0ms (17.6% of total)
backward-pass: 20.0ms (12.1% of total)
ival-div: 8.0ms (4.8% of total)
ival-add: 7.0ms (4.2% of total)
ival-sub: 5.0ms (3% of total)
const: 1.0ms (0.6% of total)

series7.0ms (0%)

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

21 calls:

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

rewrite212.0ms (1.5%)

Algorithm
1×batch-egg-rewrite
Rules
1566×/-lowering-/.f32
1566×/-lowering-/.f64
1280×sum5-define
1256×--lowering--.f32
1256×--lowering--.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0728
12025
26325
323225
471425
5263225
0832425
Stop Event
1×iter limit
1×node limit
Counts
7 → 469
Calls
Call 1
Inputs
(log (+ 1 x))
(/ (log (- 1 x)) (log (+ 1 x)))
(log (- 1 x))
(- 1 x)
(/ (log (- 1 x)) (log (+ 1 x)))
(log (+ 1 x))
(+ 1 x)
Outputs
(log.f64 (+.f64 #s(literal 1 binary64) x))
(+.f64 (log1p.f64 x) #s(literal 0 binary64))
(+.f64 (log1p.f64 x) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(+.f64 #s(literal 0 binary64) (log1p.f64 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)) (log.f64 #s(literal -1 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal -1 binary64) x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(-.f64 (log1p.f64 x) #s(literal 0 binary64))
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(+.f64 #s(literal 0 binary64) (log1p.f64 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)) (log.f64 #s(literal -1 binary64)))
(+.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal -1 binary64) x)))
(exp.f64 (log.f64 (log1p.f64 x)))
(-.f64 (log1p.f64 x) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))))
(-.f64 (log.f64 (-.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64)))
(-.f64 (/.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (log.f64 (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(-.f64 (/.f64 (log.f64 (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) (/.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (log.f64 (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 (log.f64 (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (+.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (log.f64 (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (log1p.f64 x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (log1p.f64 x) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 (log1p.f64 x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (log1p.f64 x) #s(literal 1 binary64) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 #s(literal 0 binary64) (/.f64 (log1p.f64 x) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) (log1p.f64 x))
(fma.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) #s(literal -1 binary64) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 x)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (-.f64 (log1p.f64 x) (log1p.f64 x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log1p.f64 x)))
(/.f64 (log1p.f64 x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (exp.f64 (-.f64 (log.f64 #s(literal -1 binary64)) #s(literal 0 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (exp.f64 (+.f64 (log.f64 #s(literal -1 binary64)) #s(literal 0 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (log1p.f64 x)))
(/.f64 (-.f64 (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))) #s(literal 1 binary64))
(log1p.f64 x)
(pow.f64 (log1p.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 (log1p.f64 x)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x))))
(*.f64 #s(literal 1 binary64) (log1p.f64 x))
(*.f64 (log1p.f64 x) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(*.f64 (exp.f64 (+.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(exp.f64 (log1p.f64 x))
(-.f64 #s(literal 1 binary64) (/.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal 1 binary64) x #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) (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
(/.f64 #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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal -1 binary64) (exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))))
(/.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(/.f64 (exp.f64 (/.f64 (log.f64 #s(literal -1 binary64)) #s(literal 1 binary64))) (exp.f64 (/.f64 (log.f64 (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))
(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 (E.f64) (log1p.f64 x))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(*.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) x) (exp.f64 (-.f64 (log1p.f64 x) (log1p.f64 x))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))
(*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) x))

simplify388.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
4134×+-lowering-+.f64
4134×+-lowering-+.f32
2560×*-lowering-*.f32
2560×*-lowering-*.f64
1910×--lowering--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02171971
17391661
224331513
083651513
Stop Event
1×iter limit
1×node limit
Counts
84 → 84
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 x))))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(* -1 (log (/ -1 x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
x
(* x (+ 1 (* -1/2 x)))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(* -1 (log (/ 1 x)))
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))
(+ (log -1) (* -1 (log (/ -1 x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
Outputs
x
(* x (+ 1 (* -1/2 x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* x (+ 1 (* x (- (* 1/3 x) 1/2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))))
(* -1 (log (/ 1 x)))
(log.f64 x)
(+ (* -1 (log (/ 1 x))) (/ 1 x))
(+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 x))
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))
(+.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 (-.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))))
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(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
(-.f64 (/.f64 (-.f64 (/.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 #s(literal 0 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)))))
(+ (* -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 (-.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 (/ (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 (/.f64 #s(literal 1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.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 (/.f64 #s(literal 1/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (+.f64 (+.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 (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 (-.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))))) 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 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))

eval79.0ms (0.5%)

Compiler

Compiled 10723 to 1036 computations (90.3% saved)

prune54.0ms (0.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New6527659
Fresh000
Picked202
Done000
Total6547661
Accuracy
100.0%
Counts
661 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(/.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)))))))))
▶99.2%
(-.f64 #s(literal -1 binary64) x)
▶99.5%
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
▶99.6%
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
▶98.3%
#s(literal -1 binary64)
Compiler

Compiled 156 to 114 computations (26.9% saved)

simplify156.0ms (1.1%)

Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓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 x #s(literal -1/2 binary64))
✓cost-diff0
(+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
✓cost-diff0
(*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
✓cost-diff0
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
✓cost-diff0
(-.f64 #s(literal -1 binary64) x)
✓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
3358×sum3-define
2688×sum5-define
1824×sum4-define
1312×fnmadd-define
1156×fmsub-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02397
16187
214987
332885
472985
5181685
6418885
7717785
8774285
9782885
10785885
0879885
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 (* x (+ (* x -1/2) -1)))
-1
(* x (+ (* x -1/2) -1))
x
(+ (* x -1/2) -1)
(* x -1/2)
-1/2
(+ -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
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)
(-.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
x
(+ -1 (* x (+ (* x -1/2) -1)))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
-1
#s(literal -1 binary64)
(* x (+ (* x -1/2) -1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))
x
(+ (* x -1/2) -1)
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(* x -1/2)
(*.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(+ -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)

localize420.0ms (2.9%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓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))))))
✓accuracy99.6%
(*.f64 x #s(literal -5/12 binary64))
✓accuracy100.0%
(+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
✓accuracy100.0%
(*.f64 x #s(literal -1/2 binary64))
✓accuracy100.0%
(*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
✓accuracy100.0%
(-.f64 #s(literal -1 binary64) x)
✓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
204.0ms171×1valid
105.0ms36×5exit
58.0ms45×2valid
1.0ms4×0valid
Compiler

Compiled 105 to 21 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 342.0ms
compiled-spec: 124.0ms (36.2% of total)
ival-log: 108.0ms (31.6% of total)
backward-pass: 37.0ms (10.8% of total)
ival-add: 21.0ms (6.1% of total)
ival-mult: 20.0ms (5.8% of total)
...c/correct-round.rkt:119:19: 18.0ms (5.3% of total)
ival-sub: 9.0ms (2.6% of total)
ival-div: 4.0ms (1.2% of total)
const: 2.0ms (0.6% of total)

series9.0ms (0.1%)

Counts
14 → 168
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)>
#<alt (+ -1 (* x (+ (* x -1/2) -1)))>
#<alt (* x (+ (* x -1/2) -1))>
#<alt (+ (* x -1/2) -1)>
#<alt (* x -1/2)>
#<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 -5/12)>
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 (- (* -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 (- (* -1/2 x) 1)) 1)>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))>
#<alt (* (pow x 2) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))>
#<alt -1>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* -1/2 x) 1)>
#<alt (* -1/2 x)>
#<alt (* -1 (* x (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* x (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* x (+ 1/2 (/ 1 x))))>
#<alt (* -1/2 x)>
#<alt (* -1 (* x (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* x (+ 1/2 (/ 1 x))))>
#<alt (* -1 (* x (+ 1/2 (/ 1 x))))>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt (* -1/2 x)>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -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 (* -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)>
Calls

42 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(* x (+ -1 (* x (+ -1/2 (* x -5/12)))))
0.0ms
x
@0
(/ (log (+ 1 (- 0 x))) (log (+ 1 x)))
0.0ms
x
@inf
(+ -1 (* x (+ (* x -1/2) -1)))
0.0ms
x
@-inf
(* x -5/12)
0.0ms
x
@inf
(* x -1/2)

rewrite260.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
1964×fma-lowering-fma.f32
1964×fma-lowering-fma.f64
1590×+-lowering-+.f64
1590×+-lowering-+.f32
1382×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02380
16871
219471
353569
4141369
5452369
0848469
Stop Event
1×iter limit
1×node limit
Counts
14 → 549
Calls
Call 1
Inputs
(/ (log (+ 1 (- 0 x))) (log (+ 1 x)))
(log (+ 1 (- 0 x)))
(- 0 x)
(log (+ 1 x))
(- -1 x)
(+ -1 (* x (+ (* x -1/2) -1)))
(* x (+ (* x -1/2) -1))
(+ (* x -1/2) -1)
(* x -1/2)
(+ -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 -5/12)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)))
(+.f64 (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) #s(literal 0 binary64))
(exp.f64 (log.f64 (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 (/.f64 (log1p.f64 x) (log.f64 (-.f64 #s(literal 1 binary64) x))))))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (*.f64 (log.f64 (log.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (log.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)))))
(exp.f64 (+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x))) (*.f64 (log.f64 (log.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (log1p.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (log1p.f64 x) #s(literal -2 binary64)))) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (log1p.f64 x)))
(-.f64 (/.f64 (log.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (log1p.f64 x))) (/.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (log1p.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (log1p.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) #s(literal 0 binary64))
(fma.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (log1p.f64 x)) #s(literal 0 binary64))
(fma.f64 (log1p.f64 x) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (log1p.f64 x)) #s(literal 0 binary64))
(fma.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (log1p.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (log1p.f64 x)) #s(literal 0 binary64) (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (log1p.f64 x)) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (log1p.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (log1p.f64 x)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (log1p.f64 x))) #s(literal 0 binary64))
(fma.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (log1p.f64 x) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (log1p.f64 x) #s(literal -2 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log1p.f64 x) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))) (neg.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal 0 binary64))
(neg.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (log1p.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) (log.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (log1p.f64 x) #s(literal -2 binary64))) (*.f64 (log1p.f64 x) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) x))) (log1p.f64 x)))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(/.f64 (log1p.f64 x) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 x) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (neg.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) (/.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (/.f64 #s(literal -1 binary64) (log1p.f64 x)) (/.f64 #s(literal -1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (log1p.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))
(/.f64 (*.f64 (log1p.f64 x) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal -1 binary64) (pow.f64 (log1p.f64 x) #s(literal -2 binary64))))
(/.f64 (/.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) (-.f64 #s(literal 0 binary64) (log1p.f64 x))) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(/.f64 (/.f64 (*.f64 (log1p.f64 x) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) (-.f64 #s(literal 0 binary64) (log1p.f64 x))) (log1p.f64 x))
(/.f64 (/.f64 (log1p.f64 x) (-.f64 #s(literal 0 binary64) (log1p.f64 x))) (/.f64 (log1p.f64 x) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (log1p.f64 x)))))
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(fma.f64 #s(literal -1 binary64) (-.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (-.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) (*.f64 x x))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (-.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) (*.f64 x x))) (*.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -5/12 binary64) (*.f64 x x)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (neg.f64 (+.f64 x (*.f64 #s(literal 5/12 binary64) (*.f64 x (*.f64 x x))))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) (neg.f64 (-.f64 (+.f64 x (*.f64 #s(literal 5/12 binary64) (*.f64 x (*.f64 x x)))) #s(literal 0 binary64))))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -5/12 binary64) (*.f64 x x)))))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) x (neg.f64 (+.f64 x (*.f64 #s(literal 5/12 binary64) (*.f64 x (*.f64 x x))))))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) x (neg.f64 (-.f64 (+.f64 x (*.f64 #s(literal 5/12 binary64) (*.f64 x (*.f64 x x)))) #s(literal 0 binary64))))
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))) x (*.f64 x (*.f64 #s(literal -5/12 binary64) (*.f64 x x))))
(fma.f64 #s(literal -5/12 binary64) (*.f64 x (*.f64 x x)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 x #s(literal -5/12 binary64)) (*.f64 x x) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(fma.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) (*.f64 x x) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))) x (-.f64 #s(literal 0 binary64) x))
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))) x #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))) x (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))) #s(literal 0 binary64)))
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))) x (*.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
(fma.f64 (*.f64 #s(literal -5/12 binary64) (*.f64 x x)) x (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -5/12 binary64) (*.f64 x x))) x (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -5/12 binary64) (*.f64 x x)))))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (neg.f64 (+.f64 x (*.f64 #s(literal 5/12 binary64) (*.f64 x (*.f64 x x))))))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) (neg.f64 (-.f64 (+.f64 x (*.f64 #s(literal 5/12 binary64) (*.f64 x (*.f64 x x)))) #s(literal 0 binary64))))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -5/12 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) (-.f64 #s(literal 0 binary64) x))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -5/12 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(neg.f64 (-.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) (*.f64 x x))))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))))
(*.f64 #s(literal -1 binary64) (-.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) (*.f64 x x))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))) x)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))
(+.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -5/12 binary64) (*.f64 x x))))
(+.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 #s(literal -5/12 binary64) (*.f64 x x)))
(+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))) #s(literal -1 binary64))
(+.f64 (*.f64 #s(literal -5/12 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(+.f64 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -5/12 binary64) (*.f64 x x))) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -5/12 binary64) (*.f64 x x))))
(fma.f64 x (*.f64 x #s(literal -5/12 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) #s(literal -1 binary64))
(fma.f64 #s(literal -1/2 binary64) x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal -5/12 binary64) (*.f64 x x))))
(fma.f64 #s(literal -5/12 binary64) (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (*.f64 x #s(literal -5/12 binary64)) x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) x #s(literal -1 binary64))
(fma.f64 (*.f64 x x) #s(literal -5/12 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal -5/12 binary64) (*.f64 x x)))
(+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) #s(literal 0 binary64)))
(+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))) (*.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))
(+.f64 (*.f64 #s(literal -5/12 binary64) (*.f64 x x)) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) (*.f64 #s(literal -5/12 binary64) (*.f64 x x)))
(fma.f64 x (*.f64 x #s(literal -5/12 binary64)) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) #s(literal 0 binary64)))
(fma.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) (*.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))
(fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -5/12 binary64) (*.f64 x x)))
(fma.f64 #s(literal -5/12 binary64) (*.f64 x x) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x #s(literal -5/12 binary64)) x (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) #s(literal 0 binary64)))
(fma.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) x (*.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))
(fma.f64 (*.f64 x x) #s(literal -5/12 binary64) (*.f64 x #s(literal -1/2 binary64)))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))
(*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))) x)
(+.f64 (*.f64 x #s(literal -5/12 binary64)) #s(literal 0 binary64))
(fma.f64 x #s(literal -5/12 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -5/12 binary64) x #s(literal 0 binary64))
(*.f64 x #s(literal -5/12 binary64))
(*.f64 #s(literal -5/12 binary64) x)

simplify276.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
3368×*-lowering-*.f32
3368×*-lowering-*.f64
2400×+-lowering-+.f64
2400×+-lowering-+.f32
1884×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02481788
18651583
230421486
082491486
Stop Event
1×iter limit
1×node limit
Counts
168 → 168
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)
(- (* -1 x) 1)
(- (* -1 x) 1)
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -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 (- (* -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 (- (* -5/12 x) 1/2)) 1)) 1)
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))))
(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -5/12 x) 1/2)) 1))
(* x (- (* x (- (* -5/12 x) 1/2)) 1))
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* -5/12 (pow x 3))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
-1
(- (* -1/2 x) 1)
(- (* x (- (* -5/12 x) 1/2)) 1)
(- (* x (- (* -5/12 x) 1/2)) 1)
(* -5/12 (pow x 2))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* -5/12 (pow x 2))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(* -1/2 x)
(* x (- (* -5/12 x) 1/2))
(* x (- (* -5/12 x) 1/2))
(* x (- (* -5/12 x) 1/2))
(* -5/12 (pow x 2))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -5/12 (pow x 2))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 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)
Outputs
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
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(* x (- (* -1/2 x) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* x (- (* -1/2 x) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* x (- (* -1/2 x) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* -1 (* (pow x 2) (+ 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))
-1
#s(literal -1 binary64)
(- (* -1/2 x) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(- (* -1/2 x) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(- (* -1/2 x) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1 (* x (+ 1/2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(* -1 (* x (+ 1/2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(* -1 (* x (+ 1/2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1 (* x (+ 1/2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(* -1 (* x (+ 1/2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(* -1 (* x (+ 1/2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
(* -5/12 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -5/12 binary64))))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 5/12 (* 1/2 (/ 1 x)))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) #s(literal -5/12 binary64)))
(* -5/12 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -5/12 binary64))))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 5/12 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))
(* -1 (* (pow x 3) (+ 5/12 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1/2) x)))))
(*.f64 (-.f64 #s(literal 5/12 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* -1/2 x) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64))))
(* x (- (* x (- (* -5/12 x) 1/2)) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))))
(* x (- (* x (- (* -5/12 x) 1/2)) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))))
(* -5/12 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -5/12 binary64))))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(* -5/12 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -5/12 binary64))))
(* -1 (* (pow x 3) (+ 5/12 (* 1/2 (/ 1 x)))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 5/12 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))
(* -1 (* (pow x 3) (+ 5/12 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 5/12 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))
-1
#s(literal -1 binary64)
(- (* -1/2 x) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(- (* x (- (* -5/12 x) 1/2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))
(- (* x (- (* -5/12 x) 1/2)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))
(* -5/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal -5/12 binary64)))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(*.f64 (*.f64 x x) (+.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(*.f64 (*.f64 x x) (+.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(* -5/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal -5/12 binary64)))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(*.f64 (*.f64 x x) (+.f64 #s(literal -5/12 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(* (pow x 2) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 5/12))
(*.f64 (*.f64 x x) (+.f64 #s(literal -5/12 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 (- (* -5/12 x) 1/2))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))
(* x (- (* -5/12 x) 1/2))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))
(* x (- (* -5/12 x) 1/2))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))
(* -5/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal -5/12 binary64)))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))
(* -5/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal -5/12 binary64)))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64))))
(* -1 (* (pow x 2) (+ 5/12 (* 1/2 (/ 1 x)))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.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))
(* -5/12 x)
(*.f64 x #s(literal -5/12 binary64))

eval98.0ms (0.7%)

Compiler

Compiled 10762 to 1349 computations (87.5% saved)

prune99.0ms (0.7%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New7143717
Fresh022
Picked145
Done000
Total7159724
Accuracy
100.0%
Counts
724 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(/.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))
▶99.6%
(/.f64 (log1p.f64 (-.f64 #s(literal 0 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)))))))))
▶100.0%
(/.f64 (log1p.f64 (neg.f64 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)))))))))
▶99.5%
(-.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
✓99.2%
(-.f64 #s(literal -1 binary64) x)
✓99.5%
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
✓99.6%
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
✓98.3%
#s(literal -1 binary64)
Compiler

Compiled 186 to 136 computations (26.9% saved)

simplify221.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 20 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 0 binary64) x)
✓cost-diff0
(log1p.f64 (-.f64 #s(literal 0 binary64) x))
✓cost-diff0
(/.f64 (log1p.f64 (-.f64 #s(literal 0 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 (+.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 -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))
✓cost-diff0
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))
✓cost-diff0
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))))
✓cost-diff0
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))) (log1p.f64 x))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
✓cost-diff0
(-.f64 #s(literal -1 binary64) x)
✓cost-diff0
(-.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
✓cost-diff-64
(neg.f64 x)
✓cost-diff0
(log1p.f64 x)
✓cost-diff0
(log1p.f64 (neg.f64 x))
✓cost-diff0
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
Rules
2164×+-lowering-+.f64
2164×+-lowering-+.f32
1808×*-lowering-*.f32
1808×*-lowering-*.f64
1464×sum4-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
040301
1113263
2324258
3935256
42901256
08167256
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) (* (* x x) 1/2))
(- -1 x)
-1
x
(* (* x x) 1/2)
(* x x)
1/2
(/ (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))) (log (+ 1 x)))
(* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))))
x
(+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))
-1
(* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))
(+ -1/2 (* x (+ (* x -1/4) -1/3)))
-1/2
(* x (+ (* x -1/4) -1/3))
(+ (* x -1/4) -1/3)
(* x -1/4)
-1/4
-1/3
(log (+ 1 x))
(/ (log (- 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
(/ (log (+ 1 (- 0 x))) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))
(log (+ 1 (- 0 x)))
(- 0 x)
0
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
(/ (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) (* (* x x) 1/2))
(-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(- -1 x)
(-.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
x
(* (* x x) 1/2)
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(* x x)
(*.f64 x x)
1/2
#s(literal 1/2 binary64)
(/ (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))) (log (+ 1 x)))
(*.f64 x (/.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)))))) (log1p.f64 x)))
(* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))))
x
(+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))
-1
#s(literal -1 binary64)
(* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))
(+ -1/2 (* x (+ (* x -1/4) -1/3)))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))
-1/2
#s(literal -1/2 binary64)
(* x (+ (* x -1/4) -1/3))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
(+ (* x -1/4) -1/3)
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(* x -1/4)
(*.f64 x #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
-1/3
#s(literal -1/3 binary64)
(log (+ 1 x))
(log1p.f64 x)
(/ (log (- 1 x)) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))
(/.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 (*.f64 x #s(literal -1/4 binary64)) #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 (* 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))))))
(* 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)
(/ (log (+ 1 (- 0 x))) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))
(/.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 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))))
(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
(* 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)

localize940.0ms (6.6%)

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 (-.f64 #s(literal 0 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)))))))))
✓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))))
✓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)))))))))
✓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))))
✓accuracy26.2%
(log.f64 (-.f64 #s(literal 1 binary64) x))
✓accuracy100.0%
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))) (log1p.f64 x))
✓accuracy100.0%
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
✓accuracy100.0%
(*.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)))))))
✓accuracy99.6%
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
✓accuracy100.0%
(-.f64 #s(literal -1 binary64) x)
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(-.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
✓accuracy100.0%
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
✓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
541.0ms201×1valid
246.0ms51×5exit
2.0ms4×0valid
Compiler

Compiled 318 to 38 computations (88.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 618.0ms
ival-mult: 173.0ms (28% of total)
ival-log: 135.0ms (21.9% of total)
compiled-spec: 132.0ms (21.4% of total)
backward-pass: 98.0ms (15.9% of total)
ival-add: 26.0ms (4.2% of total)
...c/correct-round.rkt:119:19: 17.0ms (2.8% of total)
ival-div: 16.0ms (2.6% of total)
ival-sub: 12.0ms (1.9% of total)
ival-neg: 5.0ms (0.8% of total)
const: 3.0ms (0.5% of total)

series19.0ms (0.1%)

Counts
23 → 276
Calls
Call 1
Inputs
#<alt (/ (log (+ 1 (neg x))) (log (+ 1 x)))>
#<alt (log (+ 1 (neg x)))>
#<alt (log (+ 1 x))>
#<alt (neg x)>
#<alt (- (- -1 x) (* (* x x) 1/2))>
#<alt (- -1 x)>
#<alt (* (* x x) 1/2)>
#<alt (* x x)>
#<alt (/ (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))) (log (+ 1 x)))>
#<alt (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))))>
#<alt (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))>
#<alt (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))>
#<alt (/ (log (- 1 x)) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))>
#<alt (log (- 1 x))>
#<alt (- 1 x)>
#<alt (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))))>
#<alt (/ (log (+ 1 (- 0 x))) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))>
#<alt (log (+ 1 (- 0 x)))>
#<alt (- 0 x)>
#<alt (* x (+ (* x -1/4) -1/3))>
#<alt (+ (* x -1/4) -1/3)>
#<alt (* x (+ 1/3 (* x -1/4)))>
#<alt (+ 1/3 (* x -1/4))>
Outputs
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))>
#<alt (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))>
#<alt (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* 1/2 (/ (log (/ -1 x)) (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* -1/2 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/3 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (* 1/2 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)))))))) x)) (+ (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/2 (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))))) x)) (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -1/3 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))>
#<alt (+ (log -1) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))>
#<alt (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))>
#<alt (- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))>
#<alt (* -1 (log (/ -1 x)))>
#<alt (- (* -1 (log (/ -1 x))) (/ 1 x))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))>
#<alt (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))>
#<alt x>
#<alt (* x (+ 1 (* -1/2 x)))>
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))>
#<alt (* -1 (log (/ 1 x)))>
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))>
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))>
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))>
#<alt (+ (log -1) (* -1 (log (/ -1 x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))>
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* 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>
#<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 (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* x (- (* -1/2 x) 1)) 1)>
#<alt (- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)>
#<alt (* 1/4 (/ (pow x 4) (log (/ 1 x))))>
#<alt (* (pow x 4) (+ (/ 1/4 (* x (pow (log (/ 1 x)) 2))) (+ (/ 1/3 (* x (log (/ 1 x)))) (* 1/4 (/ 1 (log (/ 1 x)))))))>
#<alt (* (pow x 4) (- (+ (/ 1/4 (* x (pow (log (/ 1 x)) 2))) (+ (/ 1/3 (* x (log (/ 1 x)))) (+ (* 1/4 (/ 1 (log (/ 1 x)))) (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x)))))))) (+ (* -1 (/ (+ (* 1/3 (/ 1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow (log (/ 1 x)) 2)))) (* (pow x 2) (log (/ 1 x))))) (* 1/8 (/ 1 (* (pow x 2) (pow (log (/ 1 x)) 2)))))))>
#<alt (* (pow x 4) (- (+ (/ 1/12 (* (pow x 3) (pow (log (/ 1 x)) 2))) (+ (/ 1/4 (* x (pow (log (/ 1 x)) 2))) (+ (/ 1/3 (* x (log (/ 1 x)))) (+ (* 1/4 (/ 1 (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 1 (* (pow x 3) (log (/ 1 x))))))))) (+ (* -1 (/ (+ (* 1/3 (/ 1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow (log (/ 1 x)) 2)))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (+ (* 1/3 (/ 1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow (log (/ 1 x)) 2)))) (log (/ 1 x)))) (* 1/8 (/ 1 (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* 1/2 (/ (+ (* 1/3 (/ 1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow (log (/ 1 x)) 2)))) (* (pow x 3) (log (/ 1 x))))) (* 1/8 (/ 1 (* (pow x 2) (pow (log (/ 1 x)) 2)))))))))>
#<alt (* -1/4 (/ (pow x 4) (+ (log -1) (* -1 (log (/ -1 x))))))>
#<alt (* (pow x 4) (- (/ 1/4 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (/ 1/3 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))))>
#<alt (* (pow x 4) (- (* -1 (/ (- (+ (* -1 (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (+ (/ 1/8 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (/ 1/2 (* x (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (* x (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ (* -1 (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))) (* -1 (/ (- (+ (* -1 (- (+ (* 1/8 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (* -1 (/ (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (log -1) (* -1 (log (/ -1 x)))))))) (/ 1/12 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) (+ (* -1 (/ (- (+ (* 1/8 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/2 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (* -1 (/ (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (log -1) (* -1 (log (/ -1 x))))))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/2 (/ (- (* 1/4 (/ 1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 1/3 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))) (* x (+ (log -1) (* -1 (log (/ -1 x))))))) (/ 1 (* x (+ (log -1) (* -1 (log (/ -1 x))))))))) x))) x)) (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))))))>
#<alt (* -1 x)>
#<alt (* x (- (* -1/2 x) 1))>
#<alt (* x (- (* x (- (* -1/3 x) 1/2)) 1))>
#<alt (* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))>
#<alt (* -1/4 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1/4 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4))>
#<alt -1>
#<alt (- (* -1/2 x) 1)>
#<alt (- (* x (- (* -1/3 x) 1/2)) 1)>
#<alt (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))>
#<alt (* -1/2 x)>
#<alt (* x (- (* -1/3 x) 1/2))>
#<alt (* x (- (* x (- (* -1/4 x) 1/3)) 1/2))>
#<alt (* x (- (* x (- (* -1/4 x) 1/3)) 1/2))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))>
#<alt (* -1/4 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))>
#<alt (* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))>
#<alt -1>
#<alt (- (* -1 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 (* -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 (- (* 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>
#<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 (* -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 (* -1/3 x)>
#<alt (* x (- (* -1/4 x) 1/3))>
#<alt (* x (- (* -1/4 x) 1/3))>
#<alt (* x (- (* -1/4 x) 1/3))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1/4 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt -1/3>
#<alt (- (* -1/4 x) 1/3)>
#<alt (- (* -1/4 x) 1/3)>
#<alt (- (* -1/4 x) 1/3)>
#<alt (* -1/4 x)>
#<alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1/4 x)>
#<alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))>
#<alt (* 1/3 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

69 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(/ (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))) (log (+ 1 x)))
2.0ms
x
@-inf
(/ (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))) (log (+ 1 x)))
2.0ms
x
@inf
(* x (+ (* x -1/4) -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 (* x -1/4))))))))

rewrite322.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
3040×*-lowering-*.f32
3040×*-lowering-*.f64
2170×+-lowering-+.f64
2170×+-lowering-+.f32
1530×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
040169
1142151
2493147
31951145
08806145
Stop Event
1×iter limit
1×node limit
Counts
23 → 886
Calls
Call 1
Inputs
(/ (log (+ 1 (neg x))) (log (+ 1 x)))
(log (+ 1 (neg x)))
(log (+ 1 x))
(neg x)
(- (- -1 x) (* (* x x) 1/2))
(- -1 x)
(* (* x x) 1/2)
(* x x)
(/ (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))) (log (+ 1 x)))
(* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))))
(+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))
(* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))
(/ (log (- 1 x)) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))
(log (- 1 x))
(- 1 x)
(* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))))
(/ (log (+ 1 (- 0 x))) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))
(log (+ 1 (- 0 x)))
(- 0 x)
(* x (+ (* x -1/4) -1/3))
(+ (* x -1/4) -1/3)
(* x (+ 1/3 (* x -1/4)))
(+ 1/3 (* x -1/4))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (log1p.f64 x)) #s(literal 0 binary64)) (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) (log.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (log1p.f64 x))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (log1p.f64 x))) #s(literal 1 binary64)))
(neg.f64 (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (log1p.f64 x))))
(neg.f64 (/.f64 (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (log1p.f64 x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) (log.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 x) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) (/.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 #s(literal -1 binary64) (log1p.f64 x)) (/.f64 #s(literal -1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (log1p.f64 x))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (log1p.f64 x) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 0 binary64) (log1p.f64 x))) (*.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (/.f64 (log1p.f64 x) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 x))) (*.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (log.f64 (-.f64 #s(literal 1 binary64) x)))) (*.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (-.f64 #s(literal 0 binary64) (log1p.f64 x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (log1p.f64 x)) (*.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))) (*.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (log1p.f64 x)))
(pow.f64 (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) #s(literal 1 binary64))
(pow.f64 (/.f64 (log1p.f64 x) (log.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (log.f64 (/.f64 (log1p.f64 x) (log.f64 (-.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)))
(*.f64 (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (log1p.f64 x))))
(*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (log1p.f64 x)))
(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (log1p.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) (log1p.f64 x)) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(literal -1 binary64) (log1p.f64 x)) (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(*.f64 (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) (log1p.f64 x))) #s(literal -1 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (log1p.f64 x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (log1p.f64 x)) #s(literal 1 binary64)) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
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(*.f64 (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x))
(log.f64 (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 0 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
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(/.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(log1p.f64 (-.f64 #s(literal 0 binary64) x))
(pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (-.f64 #s(literal 1 binary64) x)))
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(*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))
(+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))
(-.f64 #s(literal 0 binary64) x)
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(neg.f64 x)
(/.f64 #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))
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(*.f64 x #s(literal -1 binary64))
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(*.f64 #s(literal -1 binary64) x)
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(+.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x #s(literal -1/3 binary64)))
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(+.f64 (*.f64 #s(literal 0 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 x #s(literal -1/3 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)) (*.f64 (*.f64 x 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 x #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) (*.f64 x #s(literal -1/3 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)))
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(fma.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))
(neg.f64 (*.f64 (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) (-.f64 #s(literal 0 binary64) x)))
(*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
(*.f64 (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) x)
(*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))) #s(literal 1 binary64))
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal -1/3 binary64))
(fma.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64) #s(literal -1/3 binary64))
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(fma.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 (*.f64 x x) #s(literal -1/4 binary64)))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) (*.f64 x #s(literal 1/3 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 #s(literal 1/3 binary64) x (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64)))
(fma.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))
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(*.f64 (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x)
(*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))) #s(literal 1 binary64))
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(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
(fma.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64) #s(literal 1/3 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))

simplify460.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
3692×+-lowering-+.f64
3692×+-lowering-+.f32
2670×*-lowering-*.f32
2670×*-lowering-*.f64
2362×--lowering--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04763928
116623409
261343301
080723301
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
Calls
Call 1
Inputs
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x)))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))))
(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (+ (/ 1/3 (* (pow x 3) (log (/ 1 x)))) (+ (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x))))) (/ 2 (* x (log (/ 1 x))))))) (+ (* -1 (/ (- (* 1/2 (/ 1 (log (/ 1 x)))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (log (/ 1 x)))) (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (pow (log (/ 1 x)) 2))))) (* (pow x 3) (log (/ 1 x))))) (+ (* -1 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 2) (pow (log (/ 1 x)) 2)))) (+ (* 1/3 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (* (pow x 3) (pow (log (/ 1 x)) 2)))) (+ (* 1/2 (/ (- (* 2 (/ 1 (log (/ 1 x)))) (/ (log -1) (pow (log (/ 1 x)) 2))) (* (pow x 3) (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2)))))))))
(* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))
(+ (* -1 (/ (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (- (/ 1 (+ (log -1) (* -1 (log (/ -1 x))))) (/ (log (/ -1 x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)))
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(* -1 x)
(* 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)))
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)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
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(* -1 x)
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-1
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(- (* 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
(- (* -1 x) 1)
(- (* -1 x) 1)
(- (* -1 x) 1)
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
-1
(- (* -1 x) 1)
(- (* x (- (* -1/2 x) 1)) 1)
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(* 1/4 (/ (pow x 4) (log (/ 1 x))))
(* (pow x 4) (+ (/ 1/4 (* x (pow (log (/ 1 x)) 2))) (+ (/ 1/3 (* x (log (/ 1 x)))) (* 1/4 (/ 1 (log (/ 1 x)))))))
(* (pow x 4) (- (+ (/ 1/4 (* x (pow (log (/ 1 x)) 2))) (+ (/ 1/3 (* x (log (/ 1 x)))) (+ (* 1/4 (/ 1 (log (/ 1 x)))) (* 1/2 (/ 1 (* (pow x 2) (log (/ 1 x)))))))) (+ (* -1 (/ (+ (* 1/3 (/ 1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow (log (/ 1 x)) 2)))) (* (pow x 2) (log (/ 1 x))))) (* 1/8 (/ 1 (* (pow x 2) (pow (log (/ 1 x)) 2)))))))
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(* -1/4 (/ (pow x 4) (+ (log -1) (* -1 (log (/ -1 x))))))
(* (pow x 4) (- (/ 1/4 (* x (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (+ (/ 1/3 (* x (+ (log -1) (* -1 (log (/ -1 x)))))) (* 1/4 (/ 1 (+ (log -1) (* -1 (log (/ -1 x)))))))))
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(* -1 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(* -1/4 (pow x 4))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 (pow x 4))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4))
-1
(- (* -1/2 x) 1)
(- (* x (- (* -1/3 x) 1/2)) 1)
(- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))
(* -1/2 x)
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(* x (- (* x (- (* -1/4 x) 1/3)) 1/2))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
-1
(- (* -1 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))
(* -1 x)
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(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(+ (log -1) (* -1 (log (/ 1 x))))
(- (+ (log -1) (* -1 (log (/ 1 x)))) (/ 1 x))
(+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x))))
(- (+ (log -1) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/2 (* 1/3 (/ 1 x))) (pow x 2))))) (/ 1 x))
(* -1 (log (/ -1 x)))
(- (* -1 (log (/ -1 x))) (/ 1 x))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (* 1/2 (/ 1 x))) x)))
(+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1 (+ (/ 1/3 (pow x 2)) (* 1/2 (/ 1 x)))) x)))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
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
(- (* -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))
(* -1 x)
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(* -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)
(* -1/3 x)
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(* x (- (* -1/4 x) 1/3))
(* x (- (* -1/4 x) 1/3))
(* -1/4 (pow x 2))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 (pow x 2))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
-1/3
(- (* -1/4 x) 1/3)
(- (* -1/4 x) 1/3)
(- (* -1/4 x) 1/3)
(* -1/4 x)
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 x)
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(* 1/3 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))
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(* (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)
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(* 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)
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(* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x))))
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(- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ 1 x)))) (log (/ 1 x)))) (/ 2 (* x (log (/ 1 x))))) (/ (log -1) (* x (pow (log (/ 1 x)) 2))))
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(-.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 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) 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 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x)))) 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)
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* x (- (* -1/4 x) 1/3))
(*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(* x (- (* -1/4 x) 1/3))
(*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(* x (- (* -1/4 x) 1/3))
(*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(* -1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))))
(* -1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))))
-1/3
#s(literal -1/3 binary64)
(- (* -1/4 x) 1/3)
(+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
(- (* -1/4 x) 1/3)
(+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
(- (* -1/4 x) 1/3)
(+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1/3 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1/3 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1/3 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1/3 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal -1/3 binary64))
(* -1 (* x (+ 1/4 (* 1/3 (/ 1 x)))))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/4 binary64))) #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 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(*.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 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
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 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/3 binary64) x)))

eval209.0ms (1.5%)

Compiler

Compiled 30373 to 2849 computations (90.6% saved)

prune532.0ms (3.7%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New137211373
Fresh000
Picked325
Done044
Total137571382
Accuracy
100.0%
Counts
1382 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.8%
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))))
✓100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓99.5%
(-.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
✓99.2%
(-.f64 #s(literal -1 binary64) x)
✓99.5%
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
✓99.6%
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
✓98.3%
#s(literal -1 binary64)
Compiler

Compiled 79 to 55 computations (30.4% saved)

simplify253.0ms (1.8%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))
✓cost-diff0
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))
✓cost-diff0
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))))
✓cost-diff256
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))))
Rules
2250×*-lowering-*.f32
2250×*-lowering-*.f64
1944×sum5-define
1404×/-lowering-/.f32
1404×/-lowering-/.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
021154
176129
2261126
3716125
41928125
54450125
67612125
08510125
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))
(* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))))
x
(+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))
-1
(* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))
(+ -1/2 (* x (+ (* x -1/4) -1/3)))
-1/2
(* x (+ (* x -1/4) -1/3))
(+ (* x -1/4) -1/3)
(* x -1/4)
-1/4
-1/3
(* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))))
(+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))
1
(* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))
(+ -1/2 (* x (+ 1/3 (* x -1/4))))
(* x (+ 1/3 (* x -1/4)))
(+ 1/3 (* x -1/4))
1/3
Outputs
(/ (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))))
x
(+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))
-1
#s(literal -1 binary64)
(* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))
(+ -1/2 (* x (+ (* x -1/4) -1/3)))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))
-1/2
#s(literal -1/2 binary64)
(* x (+ (* x -1/4) -1/3))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
(+ (* x -1/4) -1/3)
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))
(* x -1/4)
(*.f64 x #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
-1/3
#s(literal -1/3 binary64)
(* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))
1
#s(literal 1 binary64)
(* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))
(+ -1/2 (* x (+ 1/3 (* x -1/4))))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))
(* x (+ 1/3 (* x -1/4)))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(+ 1/3 (* x -1/4))
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)

localize138.0ms (1%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.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 (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))))
✓accuracy99.5%
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))
✓accuracy99.5%
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
Results
92.0ms256×0valid
Compiler

Compiled 163 to 22 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
...c/correct-round.rkt:119:19: 32.0ms (59.2% of total)
ival-mult: 12.0ms (22.2% of total)
ival-add: 8.0ms (14.8% of total)
ival-div: 2.0ms (3.7% of total)
const: 1.0ms (1.8% of total)
backward-pass: 0.0ms (0% of total)

series2.0ms (0%)

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

21 calls:

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

rewrite286.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
2850×*-lowering-*.f32
2850×*-lowering-*.f64
1560×fma-lowering-fma.f32
1560×fma-lowering-fma.f64
1422×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02184
18370
236868
3148267
4652667
0820267
Stop Event
1×iter limit
1×node limit
Counts
7 → 424
Calls
Call 1
Inputs
(/ (* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))) (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))))
(* x (+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))))
(+ -1 (* x (+ -1/2 (* x (+ (* x -1/4) -1/3)))))
(* x (+ -1/2 (* x (+ (* x -1/4) -1/3))))
(* x (+ (* x -1/4) -1/3))
(* x (+ 1/3 (* x -1/4)))
(+ 1/3 (* x -1/4))
Outputs
(+.f64 #s(literal 0 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 (*.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 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))) (*.f64 x 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) (+.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 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))) (*.f64 x 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) (+.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 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 (/.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) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))) (*.f64 x x)))))
(+.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 (/.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 0 binary64) (+.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 (/.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 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)))))))) #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 (*.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 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 (-.f64 #s(literal 0 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 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 #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 0 binary64) (+.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 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 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))) (*.f64 x 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 #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 #s(literal 1 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 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 #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 (/.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 #s(literal -1/2 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))))))) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) (*.f64 x x))))))
(+.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 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 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))))))) (*.f64 (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)))))
(+.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 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 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 #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 #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) (*.f64 x x))) (*.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 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 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 #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 -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))) (*.f64 (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) (*.f64 x x))))
(+.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 #s(literal -1/2 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 #s(literal -1 binary64) (*.f64 (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) (*.f64 x x)))))
(+.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 #s(literal -1 binary64) (*.f64 (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) (*.f64 x x)))) (*.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 #s(literal -1/2 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 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))))) (*.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 x #s(literal -1/3 binary64)))))
(+.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) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))) (*.f64 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 (/.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))))))) #s(literal 0 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 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))))
(+.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 x (*.f64 x #s(literal 1/2 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))))))) (neg.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) (*.f64 x x)))))))
(+.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 x (*.f64 x (*.f64 x #s(literal 1/2 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))))))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x))))))
(+.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 0 binary64) (+.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 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 #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 #s(literal 1/2 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 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) (*.f64 x (-.f64 #s(literal 0 binary64) x))))))
(+.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 #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 -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))) (*.f64 (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) (*.f64 x (-.f64 #s(literal 0 binary64) x)))))
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(fma.f64 x #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(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 #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) (*.f64 x #s(literal 1/3 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(fma.f64 #s(literal 1/3 binary64) x (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) #s(literal 1 binary64) (*.f64 x #s(literal 1/3 binary64)))
(fma.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal -1/4 binary64) (*.f64 x #s(literal 1/3 binary64)))
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))
(neg.f64 (*.f64 (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) (-.f64 #s(literal 0 binary64) x)))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))
(*.f64 (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) x)
(*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))) #s(literal 1 binary64))
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64))
(fma.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) #s(literal 1 binary64))

simplify215.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
2808×*-lowering-*.f32
2808×*-lowering-*.f64
1958×sum5-define
1716×+-lowering-+.f64
1716×+-lowering-+.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0115645
1346595
21054584
33080570
47958570
08932570
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
(+ 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 x)
(* x (- (* -1/2 x) 1))
(* x (- (* x (- (* -1/3 x) 1/2)) 1))
(* x (- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1))
(* -1/4 (pow x 4))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 (pow x 4))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 4) (- (* -1 (/ (+ 1/3 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/4))
-1
(- (* -1/2 x) 1)
(- (* x (- (* -1/3 x) 1/2)) 1)
(- (* x (- (* x (- (* -1/4 x) 1/3)) 1/2)) 1)
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/3) x)))))
(* -1/2 x)
(* x (- (* -1/3 x) 1/2))
(* x (- (* x (- (* -1/4 x) 1/3)) 1/2))
(* x (- (* x (- (* -1/4 x) 1/3)) 1/2))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(* -1/4 (pow x 3))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(* -1/3 x)
(* x (- (* -1/4 x) 1/3))
(* x (- (* -1/4 x) 1/3))
(* x (- (* -1/4 x) 1/3))
(* -1/4 (pow x 2))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1/4 (pow x 2))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(* 1/3 x)
(* x (+ 1/3 (* -1/4 x)))
(* x (+ 1/3 (* -1/4 x)))
(* x (+ 1/3 (* -1/4 x)))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
1/3
(+ 1/3 (* -1/4 x))
(+ 1/3 (* -1/4 x))
(+ 1/3 (* -1/4 x))
(* -1/4 x)
(* x (- (* 1/3 (/ 1 x)) 1/4))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(* -1/4 x)
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
Outputs
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1/2 x) 1)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(- (* x (- (* x (- (* -5/12 x) 1/2)) 1)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
1
#s(literal 1 binary64)
(+ 1 (* 8/3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8/3 binary64) x))
(+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 8/3 binary64) x) (/.f64 #s(literal 32/9 binary64) (*.f64 x x))))
(+ 1 (+ (* 8/3 (/ 1 x)) (+ (* 200/27 (/ 1 (pow x 3))) (/ 32/9 (pow x 2)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 200/27 binary64) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 32/9 binary64) (*.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (* 8/3 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8/3 binary64) x))
(+ 1 (+ (* 8/3 (/ 1 x)) (/ 32/9 (pow x 2))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 8/3 binary64) x) (/.f64 #s(literal 32/9 binary64) (*.f64 x x))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 32/9 (* 200/27 (/ 1 x))) x)) 8/3) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 #s(literal 32/9 binary64) (/.f64 #s(literal 200/27 binary64) x)) x)) x))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* -1/2 x) 1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 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 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))))))
(* -1/4 (pow x 4))
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.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 (/ (+ 1/2 (/ 1 x)) (pow x 2))) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.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 4))
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64)))
(* -1 (* (pow x 4) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.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 #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 x (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(*.f64 (*.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 #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 x (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (+.f64 #s(literal -1/4 binary64) (/.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 (*.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 x (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))
(* (pow x 3) (- (* -1 (/ (+ 1/3 (* 1/2 (/ 1 x))) x)) 1/4))
(*.f64 (*.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 (*.f64 x x) #s(literal -1/4 binary64)))
(* -1 (* (pow x 3) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))
(* -1 (* (pow x 3) (+ 1/4 (+ (/ 1/2 (pow x 2)) (* 1/3 (/ 1 x))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (+.f64 #s(literal -1/4 binary64) (/.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 x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* x (- (* -1/4 x) 1/3))
(*.f64 x (-.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))
(* x (- (* -1/4 x) 1/3))
(*.f64 x (-.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))
(* x (- (* -1/4 x) 1/3))
(*.f64 x (-.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))
(* -1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 x (-.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 x (-.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 x (-.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))
(* -1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 x (-.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 x (-.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))
(* -1 (* (pow x 2) (+ 1/4 (* 1/3 (/ 1 x)))))
(*.f64 x (-.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (* -1/4 x)))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* -1/4 x)))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* -1/4 x)))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(* -1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(* -1/4 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/4 binary64))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* -1/4 x))
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* -1/4 x))
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
(+ 1/3 (* -1/4 x))
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
(* x (- (* 1/3 (/ 1 x)) 1/4))
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
(* -1/4 x)
(*.f64 x #s(literal -1/4 binary64))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))

eval69.0ms (0.5%)

Compiler

Compiled 17982 to 1480 computations (91.8% saved)

prune60.0ms (0.4%)

Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New5053508
Fresh000
Picked101
Done066
Total5069515
Accuracy
100.0%
Counts
515 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) x) (/.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)))))) x))
99.8%
(/.f64 (/.f64 x (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))) (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))))
99.8%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
✓100.0%
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
✓99.5%
(-.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
✓99.2%
(-.f64 #s(literal -1 binary64) x)
✓99.5%
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
✓99.6%
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -5/12 binary64)))))))
✓98.3%
#s(literal -1 binary64)
Compiler

Compiled 382 to 162 computations (57.6% saved)

regimes14.0ms (0.1%)

Counts
16 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
(-.f64 #s(literal -1 binary64) x)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(-.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 x 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 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))))
(/.f64 (/.f64 x (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))) (/.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 (-.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) (/.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)))))) x))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))) (log1p.f64 x))
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))))
(/.f64 (log1p.f64 (-.f64 #s(literal 0 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
(/.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log.f64 (+.f64 #s(literal 1 binary64) x)))
5.0ms
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)

regimes4.0ms (0%)

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

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes5.0ms (0%)

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

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
99.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
99.5%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
98.3%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify14.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
60×+-commutative_binary64
56×*-commutative_binary64
42×sub-neg_binary64
34×neg-sub0_binary64
34×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03968
17868
210968
313168
416168
518168
620368
721368
821868
921968
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(+.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 #s(literal -1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
Outputs
(/.f64 (log1p.f64 (neg.f64 x)) (log1p.f64 x))
(/.f64 (log1p.f64 (-.f64 #s(literal 0 binary64) x)) (log1p.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))))
(+.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 #s(literal -1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)

soundness1.9s (13.2%)

Rules
4134×+-lowering-+.f64
4134×+-lowering-+.f32
3692×+-lowering-+.f64
3692×+-lowering-+.f32
2850×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02171971
17391661
224331513
083651513
02380
16871
219471
353569
4141369
5452369
0848469
0728
12025
26325
323225
471425
5263225
0832425
02184
18370
236868
3148267
4652667
0820267
077
1136
2186
3246
4336
5466
6636
7816
8986
91006
01006
04763928
116623409
261343301
080723301
Stop Event
1×fuel
1×iter limit
1×node limit
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
Compiler

Compiled 203 to 135 computations (33.5% saved)

preprocess46.0ms (0.3%)

Compiler

Compiled 174 to 104 computations (40.2% saved)

end0.0ms (0%)

Profiling

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