Hyperbolic arc-(co)secant

Time bar (total: 6.3s)

analyze3.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
0%0%50%0%0%50%0%3
33.3%12.5%25%0%0%62.5%0%4
60%18.7%12.5%0%0%68.7%0%5
77.8%21.9%6.2%0%0%71.8%0%6
88.2%23.4%3.1%0%0%73.4%0%7
93.9%24.2%1.6%0%0%74.2%0%8
96.9%24.6%0.8%0%0%74.6%0%9
98.4%24.8%0.4%0%0%74.8%0%10
99.2%24.9%0.2%0%0%74.9%0%11
99.6%24.9%0.1%0%0%74.9%0%12
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample922.0ms (14.7%)

Memory
14.2MiB live, 1 343.8MiB allocated
Samples
702.0ms8 256×0valid
2.0ms21×0invalid
Precisions
Click to see histograms. Total time spent on operations: 501.0ms
ival-div: 171.0ms (34.1% of total)
ival-log: 101.0ms (20.2% of total)
ival-sqrt: 71.0ms (14.2% of total)
ival-mult: 55.0ms (11% of total)
ival-sub: 54.0ms (10.8% of total)
ival-add: 36.0ms (7.2% of total)
ival-true: 7.0ms (1.4% of total)
exact: 5.0ms (1% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

preprocess974.0ms (15.5%)

Memory
-136.3MiB live, 990.2MiB allocated
Algorithm
2×egg-herbie
Rules
28 400×accelerator-lowering-fma.f32
28 400×accelerator-lowering-fma.f64
3 690×*-lowering-*.f32
3 690×*-lowering-*.f64
2 256×+-lowering-+.f64
Iterations

Useful iterations: 14 (0.0ms)

IterNodesCost
01844
14240
27640
315640
426440
541440
663734
797234
8138934
9191934
10433834
11581834
12684834
13726034
14762834
15778434
0913
11713
22413
33213
44713
56713
611013
730313
858313
9116213
10210513
11384213
12482513
13518213
14551711
15577611
16585711
17606811
18698811
0804411
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
Outputs
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
Call 2
Inputs
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
(log (+ (/ 1 (neg x)) (/ (sqrt (- 1 (* (neg x) (neg x)))) (neg x))))
(neg (log (+ (/ 1 (neg x)) (/ (sqrt (- 1 (* (neg x) (neg x)))) (neg x)))))
Outputs
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
(log (/ (+ 1 (sqrt (- 1 (* x x)))) x))
(log (+ (/ 1 (neg x)) (/ (sqrt (- 1 (* (neg x) (neg x)))) (neg x))))
(log (/ (- -1 (sqrt (- 1 (* x x)))) x))
(neg (log (+ (/ 1 (neg x)) (/ (sqrt (- 1 (* (neg x) (neg x)))) (neg x)))))
(neg (log (/ (- -1 (sqrt (- 1 (* x x)))) x)))

explain200.0ms (3.2%)

Memory
-32.6MiB live, 254.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
00-0-#s(literal 1 binary64)
00-0-(/.f64 #s(literal 1 binary64) x)
00-0-(*.f64 x x)
00-0-(-.f64 #s(literal 1 binary64) (*.f64 x x))
00-0-(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
00-0-(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
00-0-x
00-0-(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
88.0ms512×0valid
Compiler

Compiled 136 to 40 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 33.0ms (59.8% of total)
ival-div: 7.0ms (12.7% of total)
ival-log: 5.0ms (9.1% of total)
ival-sqrt: 4.0ms (7.2% of total)
ival-add: 2.0ms (3.6% of total)
ival-sub: 2.0ms (3.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify919.0ms (14.6%)

Memory
30.0MiB live, 785.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
✓cost-diff128
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
Rules
28 400×accelerator-lowering-fma.f32
28 400×accelerator-lowering-fma.f64
3 690×*-lowering-*.f32
3 690×*-lowering-*.f64
2 256×+-lowering-+.f64
Iterations

Useful iterations: 14 (0.0ms)

IterNodesCost
0952
11752
22452
33252
44752
56752
611052
730352
858352
9116252
10210552
11384252
12482552
13518252
14551748
15577648
16585748
17606848
18698848
0804448
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
(/ 1 x)
1
x
(/ (sqrt (- 1 (* x x))) x)
(sqrt (- 1 (* x x)))
(- 1 (* x x))
(* x x)
Outputs
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
(/.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(/ (sqrt (- 1 (* x x))) x)
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)
(sqrt (- 1 (* x x)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(- 1 (* x x))
(-.f64 #s(literal 1 binary64) (*.f64 x x))
(* x x)
(*.f64 x x)

localize33.0ms (0.5%)

Memory
-5.2MiB live, 73.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
✓accuracy100.0%
(sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))
Samples
20.0ms256×0valid
Compiler

Compiled 54 to 11 computations (79.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 4.0ms (31.6% of total)
ival-log: 3.0ms (23.7% of total)
ival-mult: 2.0ms (15.8% of total)
ival-sqrt: 2.0ms (15.8% of total)
ival-add: 1.0ms (7.9% of total)
ival-sub: 1.0ms (7.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
-24.5MiB live, 13.7MiB allocated
Counts
6 → 72
Calls
Call 1
Inputs
#<alt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))>
#<alt (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))>
#<alt (/ 1 x)>
#<alt (/ (sqrt (- 1 (* x x))) x)>
#<alt (sqrt (- 1 (* x x)))>
#<alt (* x x)>
Outputs
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* -1/2 (pow x 2))) x)>
#<alt (/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)>
#<alt (/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (/ 1 x))>
#<alt (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))>
#<alt (- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))>
#<alt (* -1 (sqrt -1))>
#<alt (+ (* -1 (sqrt -1)) (/ 1 x))>
#<alt (+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))>
#<alt (+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))>
#<alt (+ (log 2) (* -1 (log x)))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))>
#<alt (log (sqrt -1))>
#<alt (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))>
#<alt (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))>
#<alt (- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))>
#<alt (log (* -1 (sqrt -1)))>
#<alt (- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))>
#<alt (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))>
#<alt (+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) 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 x)>
#<alt (/ (+ 1 (* -1/2 (pow x 2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)>
#<alt (/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)>
#<alt (sqrt -1)>
#<alt (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))>
#<alt (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))>
#<alt (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))>
#<alt (* -1 (sqrt -1))>
#<alt (- (* -1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))>
#<alt (- (+ (* -1 (sqrt -1)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))) (/ 1/2 (* (pow x 2) (sqrt -1))))>
#<alt (- (+ (* -1 (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))>
#<alt (* x (sqrt -1))>
#<alt (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))>
#<alt (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))>
#<alt (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))>
#<alt (* -1 (* x (sqrt -1)))>
#<alt (* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))>
#<alt (* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))>
#<alt (* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
Calls

18 calls:

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

rewrite361.0ms (5.7%)

Memory
27.9MiB live, 549.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 520×accelerator-lowering-fma.f32
4 520×accelerator-lowering-fma.f64
3 106×*-lowering-*.f32
3 106×*-lowering-*.f64
2 972×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0945
16245
261741
3757741
0833541
Stop Event
1×iter limit
1×node limit
Counts
6 → 334
Calls
Call 1
Inputs
(+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))
(log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))
(/ 1 x)
(/ (sqrt (- 1 (* x x))) x)
(sqrt (- 1 (* x x)))
(* x x)
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(+.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) (neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)))
(-.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)))
(-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) (neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))))
(fma.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x)) (neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))))
(fma.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
(fma.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 x (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) x))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) x) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
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(/.f64 (sqrt.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (sqrt.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (neg.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64)))
(pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x)))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x x))))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 x (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))

simplify473.0ms (7.5%)

Memory
15.5MiB live, 928.7MiB allocated
Algorithm
1×egg-herbie
Rules
17 138×accelerator-lowering-fma.f32
17 138×accelerator-lowering-fma.f64
3 282×*-lowering-*.f32
3 282×*-lowering-*.f64
2 100×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0155803
1409778
21098758
33202745
47969745
08467716
Stop Event
1×iter limit
1×node limit
Counts
72 → 72
Calls
Call 1
Inputs
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(sqrt -1)
(+ (sqrt -1) (/ 1 x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(* -1 (sqrt -1))
(+ (* -1 (sqrt -1)) (/ 1 x))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(log (sqrt -1))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(log (* -1 (sqrt -1)))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) 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 x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(sqrt -1)
(+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
(- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))
(- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(* -1 (sqrt -1))
(- (* -1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
(- (+ (* -1 (sqrt -1)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))) (/ 1/2 (* (pow x 2) (sqrt -1))))
(- (+ (* -1 (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5))))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(* x (sqrt -1))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (sqrt -1)))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
Outputs
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64))))))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))))))) x)
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (/ 1 x))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (/ 1 x)))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))))
(- (+ (sqrt -1) (+ (/ 1 x) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x))) (*.f64 x x))))
(* -1 (sqrt -1))
(-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* 1/2 (/ 1 (* x (sqrt -1)))) 1) x)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) x) (sqrt.f64 #s(literal -1 binary64)))) x) (sqrt.f64 #s(literal -1 binary64)))
(+ (* -1 (sqrt -1)) (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))) (* 1/2 (/ 1 (sqrt -1)))) x)) 1) x)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) x)) x) (sqrt.f64 #s(literal -1 binary64)))
(+ (log 2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) (log.f64 x)))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -3/32 (pow x 2)) 1/4))))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x #s(literal -3/32 binary64))))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -5/96 (pow x 2)) 3/32)) 1/4))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -3/32 binary64) (*.f64 (*.f64 x x) #s(literal -5/96 binary64)))))))) (log.f64 x)))
(log (sqrt -1))
(log.f64 (sqrt.f64 #s(literal -1 binary64)))
(+ (log (sqrt -1)) (/ 1 (* x (sqrt -1))))
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 #s(literal -1 binary64))) (log.f64 (sqrt.f64 #s(literal -1 binary64))))
(- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (/ 1/6 (* (pow x 3) (pow (sqrt -1) 3))))
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))) x))
(- (+ (log (sqrt -1)) (+ (/ 1 (* x (sqrt -1))) (* 3/40 (/ 1 (* (pow x 5) (pow (sqrt -1) 5)))))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))) x) (+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal 3/40 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))))
(log (* -1 (sqrt -1)))
(log.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))))
(- (log (* -1 (sqrt -1))) (/ 1 (* x (sqrt -1))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (sqrt.f64 #s(literal -1 binary64))))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (/ 1 (sqrt -1)) (* 1/6 (/ 1 (* (pow x 2) (pow (sqrt -1) 3))))) x)))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64)))) x))
(+ (log (* -1 (sqrt -1))) (* -1 (/ (- (+ (/ 3/40 (* (pow x 4) (pow (sqrt -1) 5))) (/ 1 (sqrt -1))) (/ 1/6 (* (pow x 2) (pow (sqrt -1) 3)))) x)))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 #s(literal -3/40 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))))) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -1/2 (pow x 2))) x)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2))) x)
(/.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))) #s(literal 1 binary64)) x)
(/ (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2))) x)
(/.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))))) #s(literal 1 binary64)) x)
(sqrt -1)
(sqrt.f64 #s(literal -1 binary64))
(+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64))))
(- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))
(+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x))) (*.f64 x x)))
(- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))
(+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x))) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))
(* -1 (sqrt -1))
(-.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64)))
(- (* -1 (sqrt -1)) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))
(-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64)))
(- (+ (* -1 (sqrt -1)) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))) (/ 1/2 (* (pow x 2) (sqrt -1))))
(-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64)))
(- (+ (* -1 (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5))))))
(-.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x))) (*.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* -1/8 (pow x 2)) 1/2)))
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x #s(literal -1/8 binary64)))))) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/16 (pow x 2)) 1/8)) 1/2)))
(+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))))))) #s(literal 1 binary64))
(* x (sqrt -1))
(*.f64 x (sqrt.f64 #s(literal -1 binary64)))
(* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1))))))
(+.f64 (*.f64 x (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 #s(literal -1 binary64))))
(* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3)))))
(*.f64 x (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x))) (*.f64 x x))))
(* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))))
(*.f64 x (+.f64 (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x))) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))))
(* -1 (* x (sqrt -1)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (+ (sqrt -1) (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))))))
(-.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) x) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (- (+ (sqrt -1) (/ 1/2 (* (pow x 2) (sqrt -1)))) (/ 1/8 (* (pow x 4) (pow (sqrt -1) 3))))))
(*.f64 x (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 x x)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (- (+ (sqrt -1) (+ (/ 1/2 (* (pow x 2) (sqrt -1))) (* 1/16 (/ 1 (* (pow x 6) (pow (sqrt -1) 5)))))) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))))
(*.f64 x (-.f64 (/.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (+.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1/8 binary64) (sqrt.f64 #s(literal -1 binary64))) (*.f64 x x))) (*.f64 x x)))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

eval66.0ms (1.1%)

Memory
-23.2MiB live, 103.3MiB allocated
Compiler

Compiled 10 589 to 1 347 computations (87.3% saved)

prune66.0ms (1.1%)

Memory
11.9MiB live, 93.2MiB allocated
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New4042406
Fresh000
Picked101
Done000
Total4052407
Accuracy
100.0%
Counts
407 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) x))
▶99.8%
(log.f64 (/.f64 #s(literal 2 binary64) x))
Compiler

Compiled 16 to 12 computations (25% saved)

simplify5.0ms (0.1%)

Memory
-30.1MiB live, 9.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
✓cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
✓cost-diff0
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) x)
✓cost-diff0
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) x))
✓cost-diff0
(/.f64 #s(literal 2 binary64) x)
✓cost-diff0
(log.f64 (/.f64 #s(literal 2 binary64) x))
Rules
14×*-lowering-*.f32
14×*-lowering-*.f64
8×accelerator-lowering-fma.f32
8×accelerator-lowering-fma.f64
6×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01046
11446
21746
01743
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(log (/ 2 x))
(/ 2 x)
2
x
(log (/ (+ 2 (* -1/2 (* x x))) x))
(/ (+ 2 (* -1/2 (* x x))) x)
(+ 2 (* -1/2 (* x x)))
2
(* -1/2 (* x x))
-1/2
(* x x)
x
Outputs
(log (/ 2 x))
(log.f64 (/.f64 #s(literal 2 binary64) x))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x
(log (/ (+ 2 (* -1/2 (* x x))) x))
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) x))
(/ (+ 2 (* -1/2 (* x x))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) x)
(+ 2 (* -1/2 (* x x)))
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
2
#s(literal 2 binary64)
(* -1/2 (* x x))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
-1/2
#s(literal -1/2 binary64)
(* x x)
(*.f64 x x)
x

localize36.0ms (0.6%)

Memory
12.8MiB live, 90.5MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
✓accuracy100.0%
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) x))
✓accuracy100.0%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) x)
✓accuracy100.0%
(/.f64 #s(literal 2 binary64) x)
✓accuracy100.0%
(log.f64 (/.f64 #s(literal 2 binary64) x))
Samples
24.0ms256×0valid
Compiler

Compiled 48 to 12 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 5.0ms (33.8% of total)
ival-log: 5.0ms (33.8% of total)
ival-mult: 3.0ms (20.3% of total)
ival-add: 1.0ms (6.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series59.0ms (0.9%)

Memory
12.1MiB live, 128.3MiB allocated
Counts
7 → 84
Calls
Call 1
Inputs
#<alt (log (/ 2 x))>
#<alt (/ 2 x)>
#<alt (log (/ (+ 2 (* -1/2 (* x x))) x))>
#<alt (/ (+ 2 (* -1/2 (* x x))) x)>
#<alt (+ 2 (* -1/2 (* x x)))>
#<alt (* -1/2 (* x x))>
#<alt (* x x)>
Outputs
#<alt (+ (log 2) (* -1 (log x)))>
#<alt (+ (log 2) (* -1 (log x)))>
#<alt (+ (log 2) (* -1 (log x)))>
#<alt (+ (log 2) (* -1 (log x)))>
#<alt (+ (log 2) (log (/ 1 x)))>
#<alt (+ (log 2) (log (/ 1 x)))>
#<alt (+ (log 2) (log (/ 1 x)))>
#<alt (+ (log 2) (log (/ 1 x)))>
#<alt (+ (log -2) (log (/ -1 x)))>
#<alt (+ (log -2) (log (/ -1 x)))>
#<alt (+ (log -2) (log (/ -1 x)))>
#<alt (+ (log -2) (log (/ -1 x)))>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (+ (log 2) (* -1 (log x)))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -1/32 (pow x 2)) 1/4))))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -1/192 (pow x 2)) 1/32)) 1/4))))>
#<alt (+ (log -1/2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log -1/2) (* -1 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))>
#<alt (+ (log -1/2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -1/2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))))) (* 4 (/ 1 (pow x 2))))>
#<alt (+ (log 1/2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log 1/2) (* -1 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))>
#<alt (+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))))) (* 4 (/ 1 (pow x 2))))>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* -1/2 (pow x 2))) x)>
#<alt (/ (+ 2 (* -1/2 (pow x 2))) x)>
#<alt (/ (+ 2 (* -1/2 (pow x 2))) x)>
#<alt (* -1/2 x)>
#<alt (* x (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* x (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* x (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* -1/2 x)>
#<alt (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))>
#<alt 2>
#<alt (+ 2 (* -1/2 (pow x 2)))>
#<alt (+ 2 (* -1/2 (pow x 2)))>
#<alt (+ 2 (* -1/2 (pow x 2)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<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 (* -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)>
Calls

21 calls:

TimeVariablePointExpression
28.0ms
x
@0
(log (/ 2 x))
19.0ms
x
@-inf
(log (/ 2 x))
8.0ms
x
@inf
(log (/ 2 x))
1.0ms
x
@inf
(log (/ (+ 2 (* -1/2 (* x x))) x))
0.0ms
x
@-inf
(log (/ (+ 2 (* -1/2 (* x x))) x))

rewrite408.0ms (6.5%)

Memory
28.3MiB live, 656.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 682×*-lowering-*.f32
3 682×*-lowering-*.f64
3 598×/-lowering-/.f32
3 598×/-lowering-/.f64
3 008×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01041
14941
232241
3288441
0843038
Stop Event
1×iter limit
1×node limit
Counts
7 → 623
Calls
Call 1
Inputs
(log (/ 2 x))
(/ 2 x)
(log (/ (+ 2 (* -1/2 (* x x))) x))
(/ (+ 2 (* -1/2 (* x x))) x)
(+ 2 (* -1/2 (* x x)))
(* -1/2 (* x x))
(* x x)
Outputs
(log.f64 (/.f64 #s(literal 2 binary64) x))
(+.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal 0 binary64))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 x)))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 2 binary64) x)))
(+.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -2 binary64) x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -2 binary64)))
(+.f64 (log.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))) (log.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(-.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x #s(literal 2 binary64))))
(-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log.f64 #s(literal 1/2 binary64)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 x #s(literal -2 binary64))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 #s(literal 2 binary64) x))))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) x))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))))) (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 x #s(literal 2 binary64))))))) (/.f64 (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 x #s(literal 2 binary64))))))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal -2 binary64)) #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x)))) (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)) (log.f64 (/.f64 x #s(literal 2 binary64)))))
(fma.f64 (log.f64 x) #s(literal -1 binary64) (log.f64 #s(literal 2 binary64)))
(fma.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (log.f64 (-.f64 #s(literal 0 binary64) x)) (log.f64 #s(literal -2 binary64)))
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 0 binary64))
(fma.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (log.f64 (/.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 #s(literal 2 binary64) x))) #s(literal 0 binary64))
(neg.f64 (log.f64 (/.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 #s(literal 2 binary64) x)))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (log.f64 (/.f64 #s(literal 2 binary64) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 #s(literal 2 binary64) x)))) (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) (log.f64 (/.f64 #s(literal 2 binary64) x))))))
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(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (+.f64 #s(literal 64 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (-.f64 #s(literal 16 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 512 binary64) (*.f64 #s(literal -1/512 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) (*.f64 x (*.f64 x x))) #s(literal 8 binary64))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)))) (+.f64 #s(literal 64 binary64) (*.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) (*.f64 x (*.f64 x x))))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 x (/.f64 x #s(literal -2 binary64)))
(*.f64 x (pow.f64 (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 x (exp.f64 (log.f64 (/.f64 x #s(literal -2 binary64)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(*.f64 (*.f64 x x) (exp.f64 (log.f64 #s(literal -1/2 binary64))))
(*.f64 (/.f64 x #s(literal -2 binary64)) x)
(*.f64 (pow.f64 (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)
(*.f64 (exp.f64 (log.f64 (/.f64 x #s(literal -2 binary64)))) x)
(*.f64 (exp.f64 (log.f64 #s(literal -1/2 binary64))) (*.f64 x x))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 x x)
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal -2 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal -2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1/2 binary64))
(*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 x #s(literal -2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal -2 binary64))) x)
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) x)

simplify364.0ms (5.8%)

Memory
-24.9MiB live, 459.6MiB allocated
Algorithm
1×egg-herbie
Rules
8 996×accelerator-lowering-fma.f32
8 996×accelerator-lowering-fma.f64
2 720×*-lowering-*.f32
2 720×*-lowering-*.f64
1 760×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083568
1199540
2487540
31230540
43118522
55441514
08056490
Stop Event
1×iter limit
1×node limit
Counts
84 → 84
Calls
Call 1
Inputs
(+ (log 2) (* -1 (log x)))
(+ (log 2) (* -1 (log x)))
(+ (log 2) (* -1 (log x)))
(+ (log 2) (* -1 (log x)))
(+ (log 2) (log (/ 1 x)))
(+ (log 2) (log (/ 1 x)))
(+ (log 2) (log (/ 1 x)))
(+ (log 2) (log (/ 1 x)))
(+ (log -2) (log (/ -1 x)))
(+ (log -2) (log (/ -1 x)))
(+ (log -2) (log (/ -1 x)))
(+ (log -2) (log (/ -1 x)))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -1/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -1/192 (pow x 2)) 1/32)) 1/4))))
(+ (log -1/2) (* -1 (log (/ 1 x))))
(- (+ (log -1/2) (* -1 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))
(+ (log -1/2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -1/2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
(+ (log 1/2) (* -1 (log (/ -1 x))))
(- (+ (log 1/2) (* -1 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))
(+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(* -1/2 x)
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* -1/2 x)
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* -1/2 (pow x 2)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(* -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))
(* -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)
Outputs
(+ (log 2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (log (/ 1 x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log -2) (log (/ -1 x)))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (log (/ -1 x)))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (log (/ -1 x)))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(+ (log -2) (log (/ -1 x)))
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(+ (log 2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x (*.f64 x #s(literal -1/4 binary64))) (log.f64 x)))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -1/32 (pow x 2)) 1/4))))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/32 binary64)))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -1/192 (pow x 2)) 1/32)) 1/4))))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 x x) #s(literal -1/192 binary64))))))))
(+ (log -1/2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(- (+ (log -1/2) (* -1 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal -4 binary64) (*.f64 x x))))
(+ (log -1/2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -8 binary64) (*.f64 x x))) (*.f64 x x))))
(- (+ (log -1/2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (+.f64 (log.f64 x) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (+.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 64/3 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 4 binary64)))))
(+ (log 1/2) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(- (+ (log 1/2) (* -1 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))
(+.f64 (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal -4 binary64) (*.f64 x x)))
(+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -8 binary64) (*.f64 x x))) (*.f64 x x)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))))
(- (+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (-.f64 (log.f64 #s(literal 1/2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal -4 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 64/3 binary64) (*.f64 x x))) (*.f64 x x))))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal -1/2 binary64)))
(/ (+ 2 (* -1/2 (pow x 2))) x)
(+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal -1/2 binary64)))
(/ (+ 2 (* -1/2 (pow x 2))) x)
(+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal -1/2 binary64)))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal -1/2 binary64)))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal -1/2 binary64)))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal -1/2 binary64)))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal -1/2 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(-.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(+ 2 (* -1/2 (pow x 2)))
(-.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(+ 2 (* -1/2 (pow x 2)))
(-.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(-.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(-.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(-.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(-.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(-.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* (pow x 2) (- (* 2 (/ 1 (pow x 2))) 1/2))
(-.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/2 binary64))))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

eval107.0ms (1.7%)

Memory
10.8MiB live, 203.5MiB allocated
Compiler

Compiled 20 278 to 2 160 computations (89.3% saved)

prune108.0ms (1.7%)

Memory
1.6MiB live, 122.0MiB allocated
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New7061707
Fresh000
Picked112
Done000
Total7072709
Accuracy
100.0%
Counts
709 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(log.f64 (/.f64 #s(literal 2 binary64) x))
▶100.0%
(log.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal -1/2 binary64))))
Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify4.0ms (0.1%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x #s(literal -1/2 binary64))
✓cost-diff0
(/.f64 #s(literal 2 binary64) x)
✓cost-diff0
(+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal -1/2 binary64)))
✓cost-diff0
(log.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal -1/2 binary64))))
Rules
4×+-lowering-+.f64
4×*-lowering-*.f32
4×*-lowering-*.f64
4×+-lowering-+.f32
4×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0724
1924
0922
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(log (+ (/ 2 x) (* x -1/2)))
(+ (/ 2 x) (* x -1/2))
(/ 2 x)
2
x
(* x -1/2)
-1/2
Outputs
(log (+ (/ 2 x) (* x -1/2)))
(log.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal -1/2 binary64))))
(+ (/ 2 x) (* x -1/2))
(+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal -1/2 binary64)))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
x
(* x -1/2)
(*.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)

localize23.0ms (0.4%)

Memory
10.5MiB live, 10.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 2 binary64) x)
✓accuracy100.0%
(*.f64 x #s(literal -1/2 binary64))
✓accuracy100.0%
(log.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal -1/2 binary64))))
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal -1/2 binary64)))
Samples
14.0ms256×0valid
Compiler

Compiled 26 to 9 computations (65.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-log: 3.0ms (36.8% of total)
ival-div: 2.0ms (24.5% of total)
ival-mult: 2.0ms (24.5% of total)
ival-add: 1.0ms (12.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (log (+ (/ 2 x) (* x -1/2)))>
#<alt (+ (/ 2 x) (* x -1/2))>
#<alt (/ 2 x)>
#<alt (* x -1/2)>
Outputs
#<alt (+ (log 2) (* -1 (log x)))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -1/32 (pow x 2)) 1/4))))>
#<alt (+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -1/192 (pow x 2)) 1/32)) 1/4))))>
#<alt (+ (log -1/2) (* -1 (log (/ 1 x))))>
#<alt (- (+ (log -1/2) (* -1 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))>
#<alt (+ (log -1/2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log -1/2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))))) (* 4 (/ 1 (pow x 2))))>
#<alt (+ (log 1/2) (* -1 (log (/ -1 x))))>
#<alt (- (+ (log 1/2) (* -1 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))>
#<alt (+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2)))))>
#<alt (- (+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))))) (* 4 (/ 1 (pow x 2))))>
#<alt (/ 2 x)>
#<alt (/ (+ 2 (* -1/2 (pow x 2))) x)>
#<alt (/ (+ 2 (* -1/2 (pow x 2))) x)>
#<alt (/ (+ 2 (* -1/2 (pow x 2))) x)>
#<alt (* -1/2 x)>
#<alt (* x (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* x (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* x (- (* 2 (/ 1 (pow x 2))) 1/2))>
#<alt (* -1/2 x)>
#<alt (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))>
#<alt (* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<alt (/ 2 x)>
#<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)>
Calls

12 calls:

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

rewrite244.0ms (3.9%)

Memory
-33.8MiB live, 262.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
2 978×accelerator-lowering-fma.f32
2 978×accelerator-lowering-fma.f64
2 202×*-lowering-*.f32
2 202×*-lowering-*.f64
1 520×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0721
13121
226621
0404119
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
4 → 125
Calls
Call 1
Inputs
(log (+ (/ 2 x) (* x -1/2)))
(+ (/ 2 x) (* x -1/2))
(/ 2 x)
(* x -1/2)
Outputs
(log.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal -2 binary64))))
(+.f64 (log.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) x) (-.f64 #s(literal 0 binary64) x))))))
(+.f64 (log.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (neg.f64 (log.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) x) (-.f64 #s(literal 0 binary64) x))))))
(+.f64 (log.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (neg.f64 (log.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))))))
(-.f64 (log.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (log.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) x) (-.f64 #s(literal 0 binary64) x)))))
(-.f64 (log.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (log.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal -2 binary64))))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))))) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) x) (-.f64 #s(literal 0 binary64) x))))))
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))) (log.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 x #s(literal -2 binary64)))))
(-.f64 (log.f64 (-.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 #s(literal 4 binary64) (*.f64 x x)))) (log.f64 (+.f64 (/.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x))))
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal -2 binary64))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) x) (-.f64 #s(literal 0 binary64) x)))) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (log.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))))) (+.f64 (*.f64 (log.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) x) (-.f64 #s(literal 0 binary64) x)))) (log.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) x) (-.f64 #s(literal 0 binary64) x))))) (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (log.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) x) (-.f64 #s(literal 0 binary64) x))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (log.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))) (+.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))) (log.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))))) (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (log.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))))))))
(/.f64 (-.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (log.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))))) (*.f64 (log.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) x) (-.f64 #s(literal 0 binary64) x)))) (log.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) x) (-.f64 #s(literal 0 binary64) x)))))) (+.f64 (log.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (log.f64 (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) x) (-.f64 #s(literal 0 binary64) x))))))
(/.f64 (-.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (log.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))) (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))) (log.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))))) (+.f64 (log.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (log.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))))))
(+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal -2 binary64)))
(+.f64 (/.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) x))
(+.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))))))
(-.f64 (/.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x))
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))) (/.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 (/.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 (/.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -2 binary64) x))))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal -2 binary64)))
(fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))))))
(fma.f64 x #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) x))
(fma.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64) (/.f64 x #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))))))
(fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 2 binary64) x))
(fma.f64 (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) x) (/.f64 x #s(literal -2 binary64)))
(fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 x #s(literal -2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x))
(fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) x))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64) (/.f64 x #s(literal -2 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x) (/.f64 x #s(literal -2 binary64)))
(fma.f64 #s(literal 4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))))))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64) (/.f64 x #s(literal -2 binary64)))
(fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))) (neg.f64 (/.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 x #s(literal -2 binary64)))
(fma.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal -2 binary64))) (neg.f64 (/.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))))))
(fma.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 x (+.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) x)))) (neg.f64 (/.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64))))))
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) x) (-.f64 #s(literal 0 binary64) x))))))
(neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 x #s(literal -2 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)))) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) x) (-.f64 #s(literal 0 binary64) x)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 4 binary64) x)) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) x) x) (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 x #s(literal -2 binary64)))))
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(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64))
(*.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal 2 binary64)))
(neg.f64 (/.f64 x #s(literal 2 binary64)))
(/.f64 x #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(*.f64 x #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 (/.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 2 binary64)))

simplify365.0ms (5.8%)

Memory
-2.3MiB live, 436.0MiB allocated
Algorithm
1×egg-herbie
Rules
9 612×accelerator-lowering-fma.f32
9 612×accelerator-lowering-fma.f64
2 500×*-lowering-*.f32
2 500×*-lowering-*.f64
1 916×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078358
1192338
2474338
31198338
43009326
55277322
67721322
08105307
Stop Event
1×iter limit
1×node limit
Counts
48 → 48
Calls
Call 1
Inputs
(+ (log 2) (* -1 (log x)))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -1/32 (pow x 2)) 1/4))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -1/192 (pow x 2)) 1/32)) 1/4))))
(+ (log -1/2) (* -1 (log (/ 1 x))))
(- (+ (log -1/2) (* -1 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))
(+ (log -1/2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log -1/2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
(+ (log 1/2) (* -1 (log (/ -1 x))))
(- (+ (log 1/2) (* -1 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))
(+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2)))))
(- (+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
(/ 2 x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(* -1/2 x)
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(* -1/2 x)
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(/ 2 x)
(* -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)
Outputs
(+ (log 2) (* -1 (log x)))
(-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))
(+ (log 2) (+ (* -1 (log x)) (* -1/4 (pow x 2))))
(+.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* -1/32 (pow x 2)) 1/4))))
(-.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x #s(literal -1/32 binary64)))))))
(+ (log 2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -1/192 (pow x 2)) 1/32)) 1/4))))
(+.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 x x) #s(literal -1/192 binary64)))))) (log.f64 x)))
(+ (log -1/2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x))
(- (+ (log -1/2) (* -1 (log (/ 1 x)))) (* 4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal -4 binary64) (*.f64 x x))))
(+ (log -1/2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (log.f64 #s(literal -1/2 binary64)) (-.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x x))) (*.f64 x x))))
(- (+ (log -1/2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
(+.f64 (log.f64 x) (+.f64 (log.f64 #s(literal -1/2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 64/3 binary64) (*.f64 x x))) (*.f64 x x))))))
(+ (log 1/2) (* -1 (log (/ -1 x))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x)))
(- (+ (log 1/2) (* -1 (log (/ -1 x)))) (* 4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -4 binary64) (*.f64 x x))))
(+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 4 (* 8 (/ 1 (pow x 2)))) (pow x 2)))))
(+.f64 (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -8 binary64) (*.f64 x x))) (*.f64 x x)) (+.f64 (log.f64 #s(literal 1/2 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) x))))
(- (+ (log 1/2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 8 (* 64/3 (/ 1 (pow x 2)))) (pow x 4))))) (* 4 (/ 1 (pow x 2))))
(+.f64 (log.f64 #s(literal 1/2 binary64)) (+.f64 (log.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal 64/3 binary64) (*.f64 x x))) (*.f64 x x))))))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) x)
(/ (+ 2 (* -1/2 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) x)
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal -1/2 binary64)))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal -1/2 binary64)))
(* x (- (* 2 (/ 1 (pow x 2))) 1/2))
(+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal -1/2 binary64)))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal -1/2 binary64)))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal -1/2 binary64)))
(* -1 (* x (- 1/2 (* 2 (/ 1 (pow x 2))))))
(+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal -1/2 binary64)))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* -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))

eval19.0ms (0.3%)

Memory
27.0MiB live, 27.0MiB allocated
Compiler

Compiled 4 014 to 506 computations (87.4% saved)

prune21.0ms (0.3%)

Memory
-0.3MiB live, 37.7MiB allocated
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1730173
Fresh000
Picked011
Done011
Total1732175
Accuracy
100.0%
Counts
175 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.8%
(log.f64 (/.f64 #s(literal 2 binary64) x))
✓100.0%
(log.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal -1/2 binary64))))
Compiler

Compiled 50 to 31 computations (38% saved)

regimes8.0ms (0.1%)

Memory
-26.0MiB live, 12.5MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
(log.f64 (/.f64 #s(literal 2 binary64) x))
(log.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal -1/2 binary64))))
(log.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x x))) x))
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
Outputs
(log.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal -1/2 binary64))))
Calls

3 calls:

3.0ms
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
2.0ms
x
2.0ms
(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x)))
100.0%1(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) x))
Compiler

Compiled 29 to 18 computations (37.9% saved)

regimes1.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify7.0ms (0.1%)

Memory
10.3MiB live, 10.3MiB allocated
Algorithm
1×egg-herbie
Rules
2×*-commutative_binary64
2×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
11012
Stop Event
1×saturated
Calls
Call 1
Inputs
(log.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal -1/2 binary64))))
(log.f64 (/.f64 #s(literal 2 binary64) x))
Outputs
(log.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x #s(literal -1/2 binary64))))
(log.f64 (/.f64 #s(literal 2 binary64) x))

soundness444.0ms (7.1%)

Memory
16.5MiB live, 251.8MiB allocated
Rules
17 138×accelerator-lowering-fma.f32
17 138×accelerator-lowering-fma.f64
8 996×accelerator-lowering-fma.f32
8 996×accelerator-lowering-fma.f64
3 282×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0155803
1409778
21098758
33202745
47969745
08467716
083568
1199540
2487540
31230540
43118522
55441514
08056490
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 38 to 27 computations (28.9% saved)

preprocess41.0ms (0.7%)

Memory
-24.4MiB live, 52.2MiB allocated
Compiler

Compiled 54 to 34 computations (37% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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