Hyperbolic tangent

Time bar (total: 12.4s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
100%100%0%0%0%0%0%2
Compiler

Compiled 15 to 8 computations (46.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-exp: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-neg: 0.0ms (0% of total)

sample3.1s (25.1%)

Results
2.0s7777×1valid
552.0ms7847×0unsamplable
42.0ms479×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.0s
ival-exp: 1.3s (65.2% of total)
ival-div: 173.0ms (8.5% of total)
ival-sub: 149.0ms (7.3% of total)
ival-add: 137.0ms (6.8% of total)
ival-neg: 117.0ms (5.8% of total)
backward-pass: 114.0ms (5.6% of total)
const: 14.0ms (0.7% of total)
Bogosity

preprocess171.0ms (1.4%)

Algorithm
2×egg-herbie
Rules
1626×fnmadd-define
1560×sum3-define
1378×fma-define
1216×sum5-define
904×fnmadd-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01339
14639
210239
324239
467839
5178739
6542139
7584639
8590339
9598039
10605039
11610639
12613039
0713
11913
23713
36513
413313
533913
680213
7137913
8261813
9318013
10340713
11356913
12368613
0368613
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
Outputs
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
Call 2
Inputs
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp (neg x)) (exp (neg (neg x)))) (+ (exp (neg x)) (exp (neg (neg x)))))
(neg (/ (- (exp (neg x)) (exp (neg (neg x)))) (+ (exp (neg x)) (exp (neg (neg x))))))
Outputs
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (recip (exp x))) (+ (exp x) (recip (exp x))))
(/ (- (exp (neg x)) (exp (neg (neg x)))) (+ (exp (neg x)) (exp (neg (neg x)))))
(/ (- (recip (exp x)) (exp x)) (+ (exp x) (recip (exp x))))
(neg (/ (- (exp (neg x)) (exp (neg (neg x)))) (+ (exp (neg x)) (exp (neg (neg x))))))
(/ (- (exp x) (recip (exp x))) (+ (exp x) (recip (exp x))))
Symmetry

(negabs x)

explain208.0ms (1.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2460-1(0.006812180988214395)(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
40-0-(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
00-0-x
00-0-(exp.f64 (neg.f64 x))
00-0-(neg.f64 x)
00-0-(exp.f64 x)
00-0-(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
Results
149.0ms476×1valid
5.0ms36×0valid
Compiler

Compiled 84 to 23 computations (72.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
ival-exp: 69.0ms (68.4% of total)
backward-pass: 9.0ms (8.9% of total)
ival-div: 7.0ms (6.9% of total)
ival-sub: 6.0ms (6% of total)
ival-add: 5.0ms (5% of total)
ival-neg: 5.0ms (5% of total)
const: 1.0ms (1% of total)

eval0.0ms (0%)

Compiler

Compiled 18 to 14 computations (22.2% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶10.5%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶12.0%
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
Compiler

Compiled 32 to 21 computations (34.4% saved)

simplify96.0ms (0.8%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(exp.f64 (neg.f64 x))
✓cost-diff-64
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓cost-diff0
(exp.f64 x)
✓cost-diff12416
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓cost-diff0
(exp.f64 (*.f64 x #s(literal -2 binary64)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
✓cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
Rules
1070×fnmadd-define
912×sum3-define
822×fmsub-define
814×fnmsub-define
778×fma-define
Iterations

Useful iterations: 10 (0.0ms)

IterNodesCost
02095
14295
27095
310795
418795
539995
696395
7149295
8290395
9362695
10393591
11417291
12424891
0424891
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (/ 1 (+ 1 (exp (* x -2)))) (/ 1 (- -1 (exp (* x 2)))))
(/ 1 (+ 1 (exp (* x -2))))
1
(+ 1 (exp (* x -2)))
(exp (* x -2))
(* x -2)
x
-2
(/ 1 (- -1 (exp (* x 2))))
(- -1 (exp (* x 2)))
-1
(exp (* x 2))
(* x 2)
2
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(- (exp x) (exp (neg x)))
(exp x)
x
(exp (neg x))
(neg x)
(+ (exp x) (exp (neg x)))
Outputs
(+ (/ 1 (+ 1 (exp (* x -2)))) (/ 1 (- -1 (exp (* x 2)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(/ 1 (+ 1 (exp (* x -2))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (exp (* x -2)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(exp (* x -2))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(* x -2)
(*.f64 x #s(literal -2 binary64))
x
-2
#s(literal -2 binary64)
(/ 1 (- -1 (exp (* x 2))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
(- -1 (exp (* x 2)))
(-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))
-1
#s(literal -1 binary64)
(exp (* x 2))
(exp.f64 (*.f64 x #s(literal 2 binary64)))
(* x 2)
(*.f64 x #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(- (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(exp x)
(exp.f64 x)
x
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(neg x)
(-.f64 #s(literal 0 binary64) x)
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))

localize228.0ms (1.8%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(exp.f64 (neg.f64 x))
✓accuracy100.0%
(exp.f64 x)
✓accuracy98.5%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓accuracy12.0%
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓accuracy100.0%
(-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
✓accuracy12.1%
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
Results
185.0ms240×1valid
3.0ms16×0valid
Compiler

Compiled 99 to 21 computations (78.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 124.0ms
ival-exp: 75.0ms (60.5% of total)
ival-div: 11.0ms (8.9% of total)
ival-mult: 11.0ms (8.9% of total)
backward-pass: 9.0ms (7.3% of total)
ival-add: 8.0ms (6.4% of total)
ival-sub: 5.0ms (4% of total)
ival-neg: 2.0ms (1.6% of total)
const: 1.0ms (0.8% of total)

series7.0ms (0.1%)

Counts
10 → 120
Calls
Call 1
Inputs
#<alt (+ (/ 1 (+ 1 (exp (* x -2)))) (/ 1 (- -1 (exp (* x 2)))))>
#<alt (/ 1 (+ 1 (exp (* x -2))))>
#<alt (+ 1 (exp (* x -2)))>
#<alt (exp (* x -2))>
#<alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))>
#<alt (exp x)>
#<alt (- (exp x) (exp (neg x)))>
#<alt (exp (neg x))>
#<alt (/ 1 (- -1 (exp (* x 2))))>
#<alt (- -1 (exp (* x 2)))>
Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))>
#<alt (- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))>
#<alt (- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))>
#<alt (- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))>
#<alt (- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))>
#<alt (- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))>
#<alt (- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))>
#<alt (- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 x))>
#<alt (+ 1/2 (* x (+ 1/2 (* -1/6 (pow x 2)))))>
#<alt (+ 1/2 (* x (+ 1/2 (* (pow x 2) (- (* 1/15 (pow x 2)) 1/6)))))>
#<alt (/ 1 (+ 1 (exp (* -2 x))))>
#<alt (/ 1 (+ 1 (exp (* -2 x))))>
#<alt (/ 1 (+ 1 (exp (* -2 x))))>
#<alt (/ 1 (+ 1 (exp (* -2 x))))>
#<alt (/ 1 (+ 1 (exp (* -2 x))))>
#<alt (/ 1 (+ 1 (exp (* -2 x))))>
#<alt (/ 1 (+ 1 (exp (* -2 x))))>
#<alt (/ 1 (+ 1 (exp (* -2 x))))>
#<alt 2>
#<alt (+ 2 (* -2 x))>
#<alt (+ 2 (* x (- (* 2 x) 2)))>
#<alt (+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt (+ 1 (exp (* -2 x)))>
#<alt 1>
#<alt (+ 1 (* -2 x))>
#<alt (+ 1 (* x (- (* 2 x) 2)))>
#<alt (+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt (exp (* -2 x))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))>
#<alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))>
#<alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))>
#<alt (/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))>
#<alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))>
#<alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))>
#<alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))>
#<alt (/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (exp x)>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 1/3 (pow x 2))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))>
#<alt (* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (neg x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt (- (exp x) (exp (* -1 x)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt -1/2>
#<alt (- (* 1/2 x) 1/2)>
#<alt (- (* x (+ 1/2 (* -1/6 (pow x 2)))) 1/2)>
#<alt (- (* x (+ 1/2 (* (pow x 2) (- (* 1/15 (pow x 2)) 1/6)))) 1/2)>
#<alt (/ -1 (+ 1 (exp (* 2 x))))>
#<alt (/ -1 (+ 1 (exp (* 2 x))))>
#<alt (/ -1 (+ 1 (exp (* 2 x))))>
#<alt (/ -1 (+ 1 (exp (* 2 x))))>
#<alt (/ -1 (+ 1 (exp (* 2 x))))>
#<alt (/ -1 (+ 1 (exp (* 2 x))))>
#<alt (/ -1 (+ 1 (exp (* 2 x))))>
#<alt (/ -1 (+ 1 (exp (* 2 x))))>
#<alt -2>
#<alt (- (* -2 x) 2)>
#<alt (- (* x (- (* -2 x) 2)) 2)>
#<alt (- (* x (- (* x (- (* -4/3 x) 2)) 2)) 2)>
#<alt (* -1 (+ 1 (exp (* 2 x))))>
#<alt (* -1 (+ 1 (exp (* 2 x))))>
#<alt (* -1 (+ 1 (exp (* 2 x))))>
#<alt (* -1 (+ 1 (exp (* 2 x))))>
#<alt (* -1 (+ 1 (exp (* 2 x))))>
#<alt (* -1 (+ 1 (exp (* 2 x))))>
#<alt (* -1 (+ 1 (exp (* 2 x))))>
#<alt (* -1 (+ 1 (exp (* 2 x))))>
Calls

30 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(+ (/ 1 (+ 1 (exp (* x -2)))) (/ 1 (- -1 (exp (* x 2)))))
1.0ms
x
@-inf
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
1.0ms
x
@0
(+ (/ 1 (+ 1 (exp (* x -2)))) (/ 1 (- -1 (exp (* x 2)))))
1.0ms
x
@inf
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
1.0ms
x
@0
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))

rewrite368.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
4518×/-lowering-/.f32
4518×/-lowering-/.f64
3990×*-lowering-*.f32
3990×*-lowering-*.f64
1838×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02056
112456
2128456
0857356
Stop Event
1×iter limit
1×node limit
Counts
10 → 428
Calls
Call 1
Inputs
(+ (/ 1 (+ 1 (exp (* x -2)))) (/ 1 (- -1 (exp (* x 2)))))
(/ 1 (+ 1 (exp (* x -2))))
(+ 1 (exp (* x -2)))
(exp (* x -2))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(exp x)
(- (exp x) (exp (neg x)))
(exp (neg x))
(/ 1 (- -1 (exp (* x 2))))
(- -1 (exp (* x 2)))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))) (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
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(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 6 binary64)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (exp.f64 (*.f64 x #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 6 binary64)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (exp.f64 (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))))) (neg.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(pow.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 6 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))) (exp.f64 (*.f64 x #s(literal 2 binary64)))))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))

simplify214.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
2446×sum4-define
2444×*-lowering-*.f32
2444×*-lowering-*.f64
1944×+-lowering-+.f64
1944×+-lowering-+.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0126892
1371854
2936826
32503826
44208826
55935826
08095826
Stop Event
1×iter limit
1×node limit
Counts
120 → 120
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))
1/2
(+ 1/2 (* 1/2 x))
(+ 1/2 (* x (+ 1/2 (* -1/6 (pow x 2)))))
(+ 1/2 (* x (+ 1/2 (* (pow x 2) (- (* 1/15 (pow x 2)) 1/6)))))
(/ 1 (+ 1 (exp (* -2 x))))
(/ 1 (+ 1 (exp (* -2 x))))
(/ 1 (+ 1 (exp (* -2 x))))
(/ 1 (+ 1 (exp (* -2 x))))
(/ 1 (+ 1 (exp (* -2 x))))
(/ 1 (+ 1 (exp (* -2 x))))
(/ 1 (+ 1 (exp (* -2 x))))
(/ 1 (+ 1 (exp (* -2 x))))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
(+ 1 (exp (* -2 x)))
1
(+ 1 (* -2 x))
(+ 1 (* x (- (* 2 x) 2)))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
(exp (* -2 x))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(exp x)
(* 2 x)
(* x (+ 2 (* 1/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (neg x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
(- (exp x) (exp (* -1 x)))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
-1/2
(- (* 1/2 x) 1/2)
(- (* x (+ 1/2 (* -1/6 (pow x 2)))) 1/2)
(- (* x (+ 1/2 (* (pow x 2) (- (* 1/15 (pow x 2)) 1/6)))) 1/2)
(/ -1 (+ 1 (exp (* 2 x))))
(/ -1 (+ 1 (exp (* 2 x))))
(/ -1 (+ 1 (exp (* 2 x))))
(/ -1 (+ 1 (exp (* 2 x))))
(/ -1 (+ 1 (exp (* 2 x))))
(/ -1 (+ 1 (exp (* 2 x))))
(/ -1 (+ 1 (exp (* 2 x))))
(/ -1 (+ 1 (exp (* 2 x))))
-2
(- (* -2 x) 2)
(- (* x (- (* -2 x) 2)) 2)
(- (* x (- (* x (- (* -4/3 x) 2)) 2)) 2)
(* -1 (+ 1 (exp (* 2 x))))
(* -1 (+ 1 (exp (* 2 x))))
(* -1 (+ 1 (exp (* 2 x))))
(* -1 (+ 1 (exp (* 2 x))))
(* -1 (+ 1 (exp (* 2 x))))
(* -1 (+ 1 (exp (* 2 x))))
(* -1 (+ 1 (exp (* 2 x))))
(* -1 (+ 1 (exp (* 2 x))))
Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(- (/ 1 (+ 1 (exp (* -2 x)))) (/ 1 (+ 1 (exp (* 2 x)))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/2 x))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))
(+ 1/2 (* x (+ 1/2 (* -1/6 (pow x 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(+ 1/2 (* x (+ 1/2 (* (pow x 2) (- (* 1/15 (pow x 2)) 1/6)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/15 binary64)))))))
(/ 1 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 1 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 1 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 1 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 1 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 1 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 1 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/ 1 (+ 1 (exp (* -2 x))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))
(+ 2 (* x (- (* 2 x) 2)))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))))
(+ 2 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64)))))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
(+ 1 (exp (* -2 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64)))
(+ 1 (* x (- (* 2 x) 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal 2 binary64)))))
(+ 1 (* x (- (* x (+ 2 (* -4/3 x))) 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -4/3 binary64)))))))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
(exp (* -2 x))
(exp.f64 (*.f64 x #s(literal -2 binary64)))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ (- (exp x) (exp (neg x))) (+ (exp x) (exp (neg x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ (- (exp x) (exp (* -1 x))) (+ (exp x) (exp (* -1 x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))))
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(exp x)
(exp.f64 x)
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* 1/60 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal 1/60 binary64))))))
(* x (+ 2 (* (pow x 2) (+ 1/3 (* (pow x 2) (+ 1/60 (* 1/2520 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/60 binary64) (*.f64 (*.f64 x x) #s(literal 1/2520 binary64)))))))))
(- (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
(- (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x)))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)) x))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (* -1 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (* -1 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (* -1 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (* -1 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
-1/2
#s(literal -1/2 binary64)
(- (* 1/2 x) 1/2)
(+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(- (* x (+ 1/2 (* -1/6 (pow x 2)))) 1/2)
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))) #s(literal -1/2 binary64))
(- (* x (+ 1/2 (* (pow x 2) (- (* 1/15 (pow x 2)) 1/6)))) 1/2)
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/15 binary64)))))) #s(literal -1/2 binary64))
(/ -1 (+ 1 (exp (* 2 x))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
(/ -1 (+ 1 (exp (* 2 x))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
(/ -1 (+ 1 (exp (* 2 x))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
(/ -1 (+ 1 (exp (* 2 x))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
(/ -1 (+ 1 (exp (* 2 x))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
(/ -1 (+ 1 (exp (* 2 x))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
(/ -1 (+ 1 (exp (* 2 x))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
(/ -1 (+ 1 (exp (* 2 x))))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
-2
#s(literal -2 binary64)
(- (* -2 x) 2)
(+.f64 #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64)))
(- (* x (- (* -2 x) 2)) 2)
(+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64)))))
(- (* x (- (* x (- (* -4/3 x) 2)) 2)) 2)
(+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x (+.f64 #s(literal -2 binary64) (*.f64 x #s(literal -4/3 binary64)))))))
(* -1 (+ 1 (exp (* 2 x))))
(-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))
(* -1 (+ 1 (exp (* 2 x))))
(-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))
(* -1 (+ 1 (exp (* 2 x))))
(-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))
(* -1 (+ 1 (exp (* 2 x))))
(-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))
(* -1 (+ 1 (exp (* 2 x))))
(-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))
(* -1 (+ 1 (exp (* 2 x))))
(-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))
(* -1 (+ 1 (exp (* 2 x))))
(-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))
(* -1 (+ 1 (exp (* 2 x))))
(-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))

eval80.0ms (0.6%)

Compiler

Compiled 14272 to 1595 computations (88.8% saved)

prune88.0ms (0.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New5797586
Fresh000
Picked202
Done000
Total5817588
Accuracy
100.0%
Counts
588 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(/.f64 (sinh.f64 x) (cosh.f64 x))
99.8%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 x)))
▶96.3%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
▶96.6%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
▶96.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
▶100.0%
(tanh.f64 x)
▶95.7%
x
Compiler

Compiled 132 to 84 computations (36.4% saved)

simplify205.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
✓cost-diff0
(tanh.f64 x)
Rules
2416×fma-lowering-fma.f32
2416×fma-lowering-fma.f64
2316×*-lowering-*.f32
2316×*-lowering-*.f64
2072×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
022190
198170
2327164
3908164
41805164
52523164
62862164
73783164
85374164
08227164
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(tanh x)
x
x
(* x (+ 1 (* -1/3 (* x x))))
x
(+ 1 (* -1/3 (* x x)))
1
(* -1/3 (* x x))
-1/3
(* x x)
(* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) 2/15)))))
x
(+ 1 (* (* x x) (+ -1/3 (* (* x x) 2/15))))
1
(* (* x x) (+ -1/3 (* (* x x) 2/15)))
(* x x)
(+ -1/3 (* (* x x) 2/15))
-1/3
(* (* x x) 2/15)
2/15
(* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))))
x
(+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))))
1
(* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))
(* x x)
(+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))
-1/3
(* (* x x) (+ 2/15 (* (* x x) -17/315)))
(+ 2/15 (* (* x x) -17/315))
2/15
(* (* x x) -17/315)
-17/315
Outputs
(tanh x)
(tanh.f64 x)
x
x
(* x (+ 1 (* -1/3 (* x x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
x
(+ 1 (* -1/3 (* x x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))
1
#s(literal 1 binary64)
(* -1/3 (* x x))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
-1/3
#s(literal -1/3 binary64)
(* x x)
(*.f64 x x)
(* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) 2/15)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
x
(+ 1 (* (* x x) (+ -1/3 (* (* x x) 2/15))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
1
#s(literal 1 binary64)
(* (* x x) (+ -1/3 (* (* x x) 2/15)))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))
(* x x)
(*.f64 x x)
(+ -1/3 (* (* x x) 2/15))
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
-1/3
#s(literal -1/3 binary64)
(* (* x x) 2/15)
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
2/15
#s(literal 2/15 binary64)
(* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))))
x
(+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))))
1
#s(literal 1 binary64)
(* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
(* x x)
(*.f64 x x)
(+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))
(+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))
-1/3
#s(literal -1/3 binary64)
(* (* x x) (+ 2/15 (* (* x x) -17/315)))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(+ 2/15 (* (* x x) -17/315))
(+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))
2/15
#s(literal 2/15 binary64)
(* (* x x) -17/315)
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
-17/315
#s(literal -17/315 binary64)

localize115.0ms (0.9%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))
✓accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
✓accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
✓accuracy100.0%
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
✓accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))
✓accuracy99.7%
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
✓accuracy100.0%
(tanh.f64 x)
Results
78.0ms256×0valid
Compiler

Compiled 192 to 23 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 21.0ms (45.7% of total)
...c/correct-round.rkt:119:19: 15.0ms (32.6% of total)
ival-add: 8.0ms (17.4% of total)
ival-tanh: 2.0ms (4.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series12.0ms (0.1%)

Counts
16 → 192
Calls
Call 1
Inputs
#<alt (tanh x)>
#<alt (* x (+ 1 (* -1/3 (* x x))))>
#<alt (+ 1 (* -1/3 (* x x)))>
#<alt (* -1/3 (* x x))>
#<alt (* x x)>
#<alt (* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) 2/15)))))>
#<alt (+ 1 (* (* x x) (+ -1/3 (* (* x x) 2/15))))>
#<alt (* (* x x) (+ -1/3 (* (* x x) 2/15)))>
#<alt (* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))))>
#<alt (+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))))>
#<alt (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))>
#<alt (* (* x x) 2/15)>
#<alt (+ -1/3 (* (* x x) 2/15))>
#<alt (* (* x x) -17/315)>
#<alt (* (* x x) (+ 2/15 (* (* x x) -17/315)))>
#<alt (+ 2/15 (* (* x x) -17/315))>
Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* -1/3 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (* -17/315 (pow x 7))>
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))>
#<alt (* -17/315 (pow x 6))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 (pow x 6))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))>
#<alt (* -17/315 (pow x 6))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 (pow x 6))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt -1/3>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* -17/315 (pow x 4))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* -17/315 (pow x 4))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt 2/15>
#<alt (+ 2/15 (* -17/315 (pow x 2)))>
#<alt (+ 2/15 (* -17/315 (pow x 2)))>
#<alt (+ 2/15 (* -17/315 (pow x 2)))>
#<alt (* -17/315 (pow x 2))>
#<alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* -17/315 (pow x 2))>
#<alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
Calls

48 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(tanh x)
1.0ms
x
@inf
(tanh x)
1.0ms
x
@inf
(* x (+ 1 (* -1/3 (* x x))))
0.0ms
x
@inf
(* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) 2/15)))))
0.0ms
x
@0
(* x (+ 1 (* -1/3 (* x x))))

rewrite445.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
4246×*-lowering-*.f32
4246×*-lowering-*.f64
3118×/-lowering-/.f32
3118×/-lowering-/.f64
2358×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
022157
1170139
21585133
09102133
Stop Event
1×iter limit
1×node limit
Counts
16 → 470
Calls
Call 1
Inputs
(tanh x)
(* x (+ 1 (* -1/3 (* x x))))
(+ 1 (* -1/3 (* x x)))
(* -1/3 (* x x))
(* x x)
(* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) 2/15)))))
(+ 1 (* (* x x) (+ -1/3 (* (* x x) 2/15))))
(* (* x x) (+ -1/3 (* (* x x) 2/15)))
(* x (+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))))
(+ 1 (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))))
(* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))
(* (* x x) 2/15)
(+ -1/3 (* (* x x) 2/15))
(* (* x x) -17/315)
(* (* x x) (+ 2/15 (* (* x x) -17/315)))
(+ 2/15 (* (* x x) -17/315))
Outputs
(-.f64 (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) (sinh.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (expm1.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (expm1.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(/.f64 (-.f64 (*.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (exp.f64 (+.f64 x (-.f64 #s(literal 0 binary64) x))))) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) (sinh.f64 x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) (expm1.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(*.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))))
(tanh.f64 x)
(+.f64 x (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))) (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) (-.f64 x (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(fma.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)) x)
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)) x)
(fma.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x x)
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x) x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) x)
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))) (-.f64 x (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))))) (neg.f64 (-.f64 x (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))))
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(*.f64 (+.f64 #s(literal 8/3375 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -4913/31255875 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) #s(literal 2/15 binary64))))))
(*.f64 (-.f64 #s(literal 4/225 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 289/99225 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2/15 binary64) (*.f64 #s(literal 17/315 binary64) (*.f64 x x)))))

simplify223.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
3238×*-lowering-*.f32
3238×*-lowering-*.f64
1840×+-lowering-+.f64
1840×+-lowering-+.f32
1770×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0941593
12561511
27491477
325311461
080861461
Stop Event
1×iter limit
1×node limit
Counts
192 → 192
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* -1/3 (pow x 2)))
(* -1/3 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* -17/315 (pow x 7))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 7))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* 2/15 (pow x 2))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
2/15
(+ 2/15 (* -17/315 (pow x 2)))
(+ 2/15 (* -17/315 (pow x 2)))
(+ 2/15 (* -17/315 (pow x 2)))
(* -17/315 (pow x 2))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* -17/315 (pow x 2))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 2) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* x (+ 1 (* -1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* x (+ 1 (* -1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(+ 1 (* -1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(+ 1 (* -1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* -1/3 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/3 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)
x
(* x (+ 1 (* -1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 5) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) (+ 2/15 (/ 1 (pow x 4))))))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
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eval128.0ms (1%)

Compiler

Compiled 23076 to 2118 computations (90.8% saved)

prune67.0ms (0.5%)

Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New7584762
Fresh112
Picked055
Done000
Total75910769
Accuracy
100.0%
Counts
769 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.4%
(/.f64 (sinh.f64 x) (cosh.f64 x))
▶96.0%
(+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)
▶96.3%
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (*.f64 x x)))))
✓96.3%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
✓96.6%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
✓96.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
▶96.3%
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) #s(literal 1 binary64)))))))
▶5.2%
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))
✓100.0%
(tanh.f64 x)
✓95.7%
x
Compiler

Compiled 365 to 141 computations (61.4% saved)

simplify182.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))))
✓cost-diff128
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) #s(literal 1 binary64))))))
✓cost-diff128
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) #s(literal 1 binary64)))))))
✓cost-diff0
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))
✓cost-diff256
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (*.f64 x x))))
✓cost-diff256
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (*.f64 x x)))))
✓cost-diff0
(+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))
✓cost-diff0
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
✓cost-diff0
(*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))
✓cost-diff0
(+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)
✓cost-diff0
(cosh.f64 x)
✓cost-diff0
(sinh.f64 x)
✓cost-diff0
(/.f64 (sinh.f64 x) (cosh.f64 x))
Rules
3066×*-lowering-*.f32
3066×*-lowering-*.f64
1986×+-lowering-+.f64
1986×+-lowering-+.f32
1924×sum4-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
037580
1146511
2552502
32692500
46772489
08099489
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (sinh x) (cosh x))
(sinh x)
x
(cosh x)
(+ (* x (* -1/3 (* x x))) x)
(* x (* -1/3 (* x x)))
x
(* -1/3 (* x x))
-1/3
(* x x)
(* x (* (* x x) (+ -1/3 (* x (* x 2/15)))))
x
(* (* x x) (+ -1/3 (* x (* x 2/15))))
(* x x)
(+ -1/3 (* x (* x 2/15)))
-1/3
(* x (* x 2/15))
(* x 2/15)
2/15
(* x (+ (+ 1 (* -1/3 (* x x))) (* x (* (* x (+ 2/15 (* (* x x) -17/315))) (* x x)))))
x
(+ (+ 1 (* -1/3 (* x x))) (* x (* (* x (+ 2/15 (* (* x x) -17/315))) (* x x))))
(+ 1 (* -1/3 (* x x)))
1
(* -1/3 (* x x))
-1/3
(* x x)
(* x (* (* x (+ 2/15 (* (* x x) -17/315))) (* x x)))
(* (* x (+ 2/15 (* (* x x) -17/315))) (* x x))
(* x (+ 2/15 (* (* x x) -17/315)))
(+ 2/15 (* (* x x) -17/315))
2/15
(* (* x x) -17/315)
-17/315
(* x (* (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))))) (/ 1 (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1))))))
x
(* (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))))) (/ 1 (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1)))))
(+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))))))
1
(* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))))
(* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))
(* x x)
(+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))
-1/3
(* (* x x) (+ 2/15 (* (* x x) -17/315)))
(+ 2/15 (* (* x x) -17/315))
2/15
(* (* x x) -17/315)
-17/315
(* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))))
(/ 1 (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1))))
(+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1)))
(* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1))
(- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1)
Outputs
(/ (sinh x) (cosh x))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(sinh x)
(sinh.f64 x)
x
(cosh x)
(cosh.f64 x)
(+ (* x (* -1/3 (* x x))) x)
(*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(* x (* -1/3 (* x x)))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
x
(* -1/3 (* x x))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
-1/3
#s(literal -1/3 binary64)
(* x x)
(*.f64 x x)
(* x (* (* x x) (+ -1/3 (* x (* x 2/15)))))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))
x
(* (* x x) (+ -1/3 (* x (* x 2/15))))
(*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))
(* x x)
(*.f64 x x)
(+ -1/3 (* x (* x 2/15)))
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
-1/3
#s(literal -1/3 binary64)
(* x (* x 2/15))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* x 2/15)
(*.f64 x #s(literal 2/15 binary64))
2/15
#s(literal 2/15 binary64)
(* x (+ (+ 1 (* -1/3 (* x x))) (* x (* (* x (+ 2/15 (* (* x x) -17/315))) (* x x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))))
x
(+ (+ 1 (* -1/3 (* x x))) (* x (* (* x (+ 2/15 (* (* x x) -17/315))) (* x x))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
(+ 1 (* -1/3 (* x x)))
(+.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* -1/3 (* x x))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
-1/3
#s(literal -1/3 binary64)
(* x x)
(*.f64 x x)
(* x (* (* x (+ 2/15 (* (* x x) -17/315))) (* x x)))
(*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
(* (* x (+ 2/15 (* (* x x) -17/315))) (* x x))
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(* x (+ 2/15 (* (* x x) -17/315)))
(*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(+ 2/15 (* (* x x) -17/315))
(+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))
2/15
#s(literal 2/15 binary64)
(* (* x x) -17/315)
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
-17/315
#s(literal -17/315 binary64)
(* x (* (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))))) (/ 1 (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) #s(literal -1 binary64))))))
x
(* (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))))) (/ 1 (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) #s(literal -1 binary64))))))
(+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))))
1
#s(literal 1 binary64)
(* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))))
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))))
(* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))
(* x x)
(*.f64 x x)
(+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))
(+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))
-1/3
#s(literal -1/3 binary64)
(* (* x x) (+ 2/15 (* (* x x) -17/315)))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(+ 2/15 (* (* x x) -17/315))
(+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))
2/15
#s(literal 2/15 binary64)
(* (* x x) -17/315)
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
-17/315
#s(literal -17/315 binary64)
(* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))))
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
(/ 1 (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) #s(literal -1 binary64))))))
(+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) #s(literal -1 binary64)))))
(* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1))
(*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) #s(literal -1 binary64))))
(- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1)
(+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) #s(literal -1 binary64))

localize536.0ms (4.3%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))
✓accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
✓accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))
✓accuracy99.8%
(*.f64 (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (*.f64 x x))
✓accuracy99.8%
(*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
✓accuracy99.7%
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
✓accuracy99.9%
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))
✓accuracy99.8%
(*.f64 x #s(literal 2/15 binary64))
✓accuracy99.8%
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
✓accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)
✓accuracy99.9%
(*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))
✓accuracy99.7%
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
✓accuracy100.0%
(cosh.f64 x)
✓accuracy100.0%
(sinh.f64 x)
✓accuracy98.5%
(/.f64 (sinh.f64 x) (cosh.f64 x))
Results
151.0ms256×0valid
Compiler

Compiled 736 to 38 computations (94.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
ival-mult: 31.0ms (33.8% of total)
ival-add: 30.0ms (32.7% of total)
ival-div: 12.0ms (13.1% of total)
...c/correct-round.rkt:119:19: 11.0ms (12% of total)
ival-cosh: 3.0ms (3.3% of total)
ival-sinh: 2.0ms (2.2% of total)
ival-sub: 1.0ms (1.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series27.0ms (0.2%)

Counts
25 → 300
Calls
Call 1
Inputs
#<alt (/ (sinh x) (cosh x))>
#<alt (sinh x)>
#<alt (cosh x)>
#<alt (+ (* x (* -1/3 (* x x))) x)>
#<alt (* x (* -1/3 (* x x)))>
#<alt (* -1/3 (* x x))>
#<alt (* x x)>
#<alt (* x (* (* x x) (+ -1/3 (* x (* x 2/15)))))>
#<alt (* (* x x) (+ -1/3 (* x (* x 2/15))))>
#<alt (+ -1/3 (* x (* x 2/15)))>
#<alt (* x (+ (+ 1 (* -1/3 (* x x))) (* x (* (* x (+ 2/15 (* (* x x) -17/315))) (* x x)))))>
#<alt (+ (+ 1 (* -1/3 (* x x))) (* x (* (* x (+ 2/15 (* (* x x) -17/315))) (* x x))))>
#<alt (+ 1 (* -1/3 (* x x)))>
#<alt (* x (* (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))))) (/ 1 (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1))))))>
#<alt (* (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))))) (/ 1 (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1)))))>
#<alt (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))))))>
#<alt (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))))>
#<alt (* x (* x 2/15))>
#<alt (* x 2/15)>
#<alt (* (* x x) -17/315)>
#<alt (* x (+ 2/15 (* (* x x) -17/315)))>
#<alt (* (* x (+ 2/15 (* (* x x) -17/315))) (* x x))>
#<alt (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))>
#<alt (* (* x x) (+ 2/15 (* (* x x) -17/315)))>
#<alt (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))))>
Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt (/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))>
#<alt x>
#<alt (* x (+ 1 (* 1/6 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (- (exp x) (/ 1 (exp x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))>
#<alt (+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt (* 1/2 (+ (exp x) (/ 1 (exp x))))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* -1/3 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (* -1/3 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -1/3 (pow x 3))>
#<alt (* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* 2/15 (pow x 5))>
#<alt (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt -1/3>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (* -17/315 (pow x 7))>
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))>
#<alt (* -17/315 (pow x 6))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 (pow x 6))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/3))>
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (* -17/315 (pow x 7))>
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 (pow x 7))>
#<alt (* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))>
#<alt (* -17/315 (pow x 6))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 (pow x 6))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt 1>
#<alt (+ 1 (* -1/27 (pow x 6)))>
#<alt (+ 1 (* (pow x 6) (- (* 2/45 (pow x 2)) 1/27)))>
#<alt (+ 1 (* (pow x 6) (- (* (pow x 2) (+ 2/45 (* -169/4725 (pow x 2)))) 1/27)))>
#<alt (* -4913/31255875 (pow x 18))>
#<alt (* (pow x 18) (- (* 578/496125 (/ 1 (pow x 2))) 4913/31255875))>
#<alt (* (pow x 18) (- (* 578/496125 (/ 1 (pow x 2))) (+ 4913/31255875 (/ 2873/496125 (pow x 4)))))>
#<alt (* (pow x 18) (- (+ (* 578/496125 (/ 1 (pow x 2))) (* 44/2625 (/ 1 (pow x 6)))) (+ 4913/31255875 (/ 2873/496125 (pow x 4)))))>
#<alt (* -4913/31255875 (pow x 18))>
#<alt (* (pow x 18) (- (* 578/496125 (/ 1 (pow x 2))) 4913/31255875))>
#<alt (* (pow x 18) (- (* 578/496125 (/ 1 (pow x 2))) (+ 4913/31255875 (/ 2873/496125 (pow x 4)))))>
#<alt (* (pow x 18) (- (+ (* 578/496125 (/ 1 (pow x 2))) (* 44/2625 (/ 1 (pow x 6)))) (+ 4913/31255875 (/ 2873/496125 (pow x 4)))))>
#<alt (* -1/27 (pow x 6))>
#<alt (* (pow x 6) (- (* 2/45 (pow x 2)) 1/27))>
#<alt (* (pow x 6) (- (* (pow x 2) (+ 2/45 (* -169/4725 (pow x 2)))) 1/27))>
#<alt (* (pow x 6) (- (* (pow x 2) (+ 2/45 (* (pow x 2) (- (* 44/2625 (pow x 2)) 169/4725)))) 1/27))>
#<alt (* -4913/31255875 (pow x 18))>
#<alt (* (pow x 18) (- (* 578/496125 (/ 1 (pow x 2))) 4913/31255875))>
#<alt (* (pow x 18) (- (* 578/496125 (/ 1 (pow x 2))) (+ 4913/31255875 (/ 2873/496125 (pow x 4)))))>
#<alt (* (pow x 18) (- (+ (* 578/496125 (/ 1 (pow x 2))) (* 44/2625 (/ 1 (pow x 6)))) (+ 4913/31255875 (/ 2873/496125 (pow x 4)))))>
#<alt (* -4913/31255875 (pow x 18))>
#<alt (* (pow x 18) (- (* 578/496125 (/ 1 (pow x 2))) 4913/31255875))>
#<alt (* (pow x 18) (- (* 578/496125 (/ 1 (pow x 2))) (+ 4913/31255875 (/ 2873/496125 (pow x 4)))))>
#<alt (* (pow x 18) (- (+ (* 578/496125 (/ 1 (pow x 2))) (* 44/2625 (/ 1 (pow x 6)))) (+ 4913/31255875 (/ 2873/496125 (pow x 4)))))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 (pow x 2))>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* 2/15 x)>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* -17/315 (pow x 2))>
#<alt (* 2/15 x)>
#<alt (* x (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* x (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* x (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* -17/315 (pow x 3))>
#<alt (* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* -17/315 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* 2/15 (pow x 3))>
#<alt (* (pow x 3) (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* (pow x 3) (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* (pow x 3) (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* -17/315 (pow x 5))>
#<alt (* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* -17/315 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 5) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))>
#<alt (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))>
#<alt (* -17/315 (pow x 6))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* -17/315 (pow x 6))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<alt (* 2/15 (pow x 2))>
#<alt (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* -17/315 (pow x 4))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* -17/315 (pow x 4))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<alt (* 1/9 (pow x 4))>
#<alt (* (pow x 4) (+ 1/9 (* -4/45 (pow x 2))))>
#<alt (* (pow x 4) (+ 1/9 (* (pow x 2) (- (* 254/4725 (pow x 2)) 4/45))))>
#<alt (* (pow x 4) (+ 1/9 (* (pow x 2) (- (* (pow x 2) (+ 254/4725 (* -68/4725 (pow x 2)))) 4/45))))>
#<alt (* 289/99225 (pow x 12))>
#<alt (* (pow x 12) (- 289/99225 (* 68/4725 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (* 68/4725 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (+ (* 68/4725 (/ 1 (pow x 2))) (* 4/45 (/ 1 (pow x 6))))))>
#<alt (* 289/99225 (pow x 12))>
#<alt (* (pow x 12) (- 289/99225 (* 68/4725 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (* 68/4725 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (+ (* 68/4725 (/ 1 (pow x 2))) (* 4/45 (/ 1 (pow x 6))))))>
Calls

75 calls:

TimeVariablePointExpression
11.0ms
x
@-inf
(/ (sinh x) (cosh x))
2.0ms
x
@inf
(/ (sinh x) (cosh x))
1.0ms
x
@inf
(* x (* (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))))) (/ 1 (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1))))))
0.0ms
x
@0
(* x (* (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))))) (/ 1 (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1))))))
0.0ms
x
@0
(* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))))

rewrite473.0ms (3.8%)

Algorithm
1×batch-egg-rewrite
Rules
4680×*-lowering-*.f32
4680×*-lowering-*.f64
3402×/-lowering-/.f32
3402×/-lowering-/.f64
2246×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037354
1263312
22463312
09695312
Stop Event
1×iter limit
1×node limit
Counts
25 → 598
Calls
Call 1
Inputs
(/ (sinh x) (cosh x))
(sinh x)
(cosh x)
(+ (* x (* -1/3 (* x x))) x)
(* x (* -1/3 (* x x)))
(* -1/3 (* x x))
(* x x)
(* x (* (* x x) (+ -1/3 (* x (* x 2/15)))))
(* (* x x) (+ -1/3 (* x (* x 2/15))))
(+ -1/3 (* x (* x 2/15)))
(* x (+ (+ 1 (* -1/3 (* x x))) (* x (* (* x (+ 2/15 (* (* x x) -17/315))) (* x x)))))
(+ (+ 1 (* -1/3 (* x x))) (* x (* (* x (+ 2/15 (* (* x x) -17/315))) (* x x))))
(+ 1 (* -1/3 (* x x)))
(* x (* (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))))) (/ 1 (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1))))))
(* (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))))) (/ 1 (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1)))))
(+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))))))
(* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))))
(* x (* x 2/15))
(* x 2/15)
(* (* x x) -17/315)
(* x (+ 2/15 (* (* x x) -17/315)))
(* (* x (+ 2/15 (* (* x x) -17/315))) (* x x))
(* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))
(* (* x x) (+ 2/15 (* (* x x) -17/315)))
(* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (cosh.f64 x) (sinh.f64 x))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (cosh.f64 x)) (/.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) (cosh.f64 x)))
(-.f64 (/.f64 (exp.f64 x) (*.f64 (cosh.f64 x) #s(literal 2 binary64))) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (cosh.f64 x))) (/.f64 (sinh.f64 x) (-.f64 #s(literal 0 binary64) (cosh.f64 x))))
(neg.f64 (/.f64 (sinh.f64 x) (-.f64 #s(literal 0 binary64) (cosh.f64 x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x)) (cosh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) (sinh.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cosh.f64 x) (sinh.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 (cosh.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x)) (-.f64 #s(literal 0 binary64) (cosh.f64 x)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x))) (neg.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) (neg.f64 (*.f64 (cosh.f64 x) #s(literal 2 binary64))))
(/.f64 (*.f64 (sinh.f64 x) #s(literal 1 binary64)) (cosh.f64 x))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (cosh.f64 x)))))
(/.f64 (neg.f64 (*.f64 (sinh.f64 x) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (cosh.f64 x)))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))) #s(literal -2 binary64))
(pow.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (cosh.f64 x) (sinh.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (sinh.f64 x) (/.f64 #s(literal 1 binary64) (cosh.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 x) (cosh.f64 x)))
(*.f64 (-.f64 #s(literal 0 binary64) (sinh.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (cosh.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (sinh.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) (sinh.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (sinh.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 2 binary64))
(*.f64 (pow.f64 (/.f64 (cosh.f64 x) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (cosh.f64 x)) (/.f64 (sinh.f64 x) #s(literal 2 binary64)))
(-.f64 (/.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)))
(sinh.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x)))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 x))) #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 x)) #s(literal 1/2 binary64))
(cosh.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))
(/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 x)) #s(literal 1/2 binary64))
(+.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))))
(+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) x)
(+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))))
(-.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (-.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))) x)
(fma.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) x x)
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 x x) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x (-.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))))) (+.f64 (*.f64 (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) x) (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x (-.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))))) (+.f64 (*.f64 (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) x) (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x x)))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x (-.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))))))
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))))))
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(pow.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))) #s(literal 2 binary64))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))))
(*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))))))
(*.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))
(*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))) (pow.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))))) (*.f64 x x))
(*.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))) x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))
(*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))))
(*.f64 (exp.f64 (log.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))) (exp.f64 (log.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64))))))))))

simplify275.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
4640×*-lowering-*.f32
4640×*-lowering-*.f64
1860×+-lowering-+.f64
1860×+-lowering-+.f32
1554×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02132682
15952580
217442517
357612515
081672515
Stop Event
1×iter limit
1×node limit
Counts
300 → 300
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
1
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* -1/3 (pow x 2))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 3))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1/3 (pow x 3))
(* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(- (* 2/15 (pow x 2)) 1/3)
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 2))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* -17/315 (pow x 7))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 7))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* -1/3 (pow x 2)))
(* -1/3 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* -1/3 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/3))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* -17/315 (pow x 7))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 7))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (+ 17/315 (/ 1/3 (pow x 4))) (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))))))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
1
(+ 1 (* -1/27 (pow x 6)))
(+ 1 (* (pow x 6) (- (* 2/45 (pow x 2)) 1/27)))
(+ 1 (* (pow x 6) (- (* (pow x 2) (+ 2/45 (* -169/4725 (pow x 2)))) 1/27)))
(* -4913/31255875 (pow x 18))
(* (pow x 18) (- (* 578/496125 (/ 1 (pow x 2))) 4913/31255875))
(* (pow x 18) (- (* 578/496125 (/ 1 (pow x 2))) (+ 4913/31255875 (/ 2873/496125 (pow x 4)))))
(* (pow x 18) (- (+ (* 578/496125 (/ 1 (pow x 2))) (* 44/2625 (/ 1 (pow x 6)))) (+ 4913/31255875 (/ 2873/496125 (pow x 4)))))
(* -4913/31255875 (pow x 18))
(* (pow x 18) (- (* 578/496125 (/ 1 (pow x 2))) 4913/31255875))
(* (pow x 18) (- (* 578/496125 (/ 1 (pow x 2))) (+ 4913/31255875 (/ 2873/496125 (pow x 4)))))
(* (pow x 18) (- (+ (* 578/496125 (/ 1 (pow x 2))) (* 44/2625 (/ 1 (pow x 6)))) (+ 4913/31255875 (/ 2873/496125 (pow x 4)))))
(* -1/27 (pow x 6))
(* (pow x 6) (- (* 2/45 (pow x 2)) 1/27))
(* (pow x 6) (- (* (pow x 2) (+ 2/45 (* -169/4725 (pow x 2)))) 1/27))
(* (pow x 6) (- (* (pow x 2) (+ 2/45 (* (pow x 2) (- (* 44/2625 (pow x 2)) 169/4725)))) 1/27))
(* -4913/31255875 (pow x 18))
(* (pow x 18) (- (* 578/496125 (/ 1 (pow x 2))) 4913/31255875))
(* (pow x 18) (- (* 578/496125 (/ 1 (pow x 2))) (+ 4913/31255875 (/ 2873/496125 (pow x 4)))))
(* (pow x 18) (- (+ (* 578/496125 (/ 1 (pow x 2))) (* 44/2625 (/ 1 (pow x 6)))) (+ 4913/31255875 (/ 2873/496125 (pow x 4)))))
(* -4913/31255875 (pow x 18))
(* (pow x 18) (- (* 578/496125 (/ 1 (pow x 2))) 4913/31255875))
(* (pow x 18) (- (* 578/496125 (/ 1 (pow x 2))) (+ 4913/31255875 (/ 2873/496125 (pow x 4)))))
(* (pow x 18) (- (+ (* 578/496125 (/ 1 (pow x 2))) (* 44/2625 (/ 1 (pow x 6)))) (+ 4913/31255875 (/ 2873/496125 (pow x 4)))))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 (pow x 2))
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* 2/15 x)
(* x (+ 2/15 (* -17/315 (pow x 2))))
(* x (+ 2/15 (* -17/315 (pow x 2))))
(* x (+ 2/15 (* -17/315 (pow x 2))))
(* -17/315 (pow x 3))
(* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* -17/315 (pow x 3))
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* 2/15 (pow x 3))
(* (pow x 3) (+ 2/15 (* -17/315 (pow x 2))))
(* (pow x 3) (+ 2/15 (* -17/315 (pow x 2))))
(* (pow x 3) (+ 2/15 (* -17/315 (pow x 2))))
(* -17/315 (pow x 5))
(* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* -17/315 (pow x 5))
(* -1 (* (pow x 5) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* 2/15 (pow x 2))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* 1/9 (pow x 4))
(* (pow x 4) (+ 1/9 (* -4/45 (pow x 2))))
(* (pow x 4) (+ 1/9 (* (pow x 2) (- (* 254/4725 (pow x 2)) 4/45))))
(* (pow x 4) (+ 1/9 (* (pow x 2) (- (* (pow x 2) (+ 254/4725 (* -68/4725 (pow x 2)))) 4/45))))
(* 289/99225 (pow x 12))
(* (pow x 12) (- 289/99225 (* 68/4725 (/ 1 (pow x 2)))))
(* (pow x 12) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (* 68/4725 (/ 1 (pow x 2)))))
(* (pow x 12) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (+ (* 68/4725 (/ 1 (pow x 2))) (* 4/45 (/ 1 (pow x 6))))))
(* 289/99225 (pow x 12))
(* (pow x 12) (- 289/99225 (* 68/4725 (/ 1 (pow x 2)))))
(* (pow x 12) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (* 68/4725 (/ 1 (pow x 2)))))
(* (pow x 12) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (+ (* 68/4725 (/ 1 (pow x 2))) (* 4/45 (/ 1 (pow x 6))))))
Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x #s(literal -17/315 binary64)))))))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(/ (- (exp x) (/ 1 (exp x))) (+ (exp x) (/ 1 (exp x))))
(/.f64 (+.f64 (exp.f64 x) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
x
(* x (+ 1 (* 1/6 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* 1/120 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) #s(literal 1/120 binary64))))))
(* x (+ 1 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 1/120 (* 1/5040 (pow x 2))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 x x) #s(literal 1/5040 binary64))))))))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
(* 1/2 (- (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) (exp.f64 x)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(+ 1 (* (pow x 2) (+ 1/2 (* 1/24 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/24 binary64))))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/720 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x x) #s(literal 1/720 binary64)))))))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(* 1/2 (+ (exp x) (/ 1 (exp x))))
(+.f64 (*.f64 (exp.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* x (+ 1 (* -1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* x (+ 1 (* -1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* (pow x 3) (- (/ 1 (pow x 2)) 1/3))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* -1 (* (pow x 3) (- 1/3 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* -1/3 (pow x 3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1/3 (pow x 3))
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(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 289/99225 binary64) (/.f64 #s(literal -68/4725 binary64) (*.f64 x x))))
(* (pow x 12) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (* 68/4725 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 #s(literal 289/99225 binary64) (/.f64 #s(literal -68/4725 binary64) (*.f64 x x))) (/.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 12) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (+ (* 68/4725 (/ 1 (pow x 2))) (* 4/45 (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 289/99225 binary64) (/.f64 #s(literal -68/4725 binary64) (*.f64 x x))) (/.f64 #s(literal -4/45 binary64) (pow.f64 x #s(literal 6 binary64))))))
(* 289/99225 (pow x 12))
(*.f64 #s(literal 289/99225 binary64) (pow.f64 x #s(literal 12 binary64)))
(* (pow x 12) (- 289/99225 (* 68/4725 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 289/99225 binary64) (/.f64 #s(literal -68/4725 binary64) (*.f64 x x))))
(* (pow x 12) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (* 68/4725 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 #s(literal 289/99225 binary64) (/.f64 #s(literal -68/4725 binary64) (*.f64 x x))) (/.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 12) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (+ (* 68/4725 (/ 1 (pow x 2))) (* 4/45 (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal 289/99225 binary64) (/.f64 #s(literal -68/4725 binary64) (*.f64 x x))) (/.f64 #s(literal -4/45 binary64) (pow.f64 x #s(literal 6 binary64))))))

eval313.0ms (2.5%)

Compiler

Compiled 137919 to 4820 computations (96.5% saved)

prune155.0ms (1.2%)

Pruning

15 alts after pruning (6 fresh and 9 done)

PrunedKeptTotal
New167461680
Fresh000
Picked145
Done055
Total1675151690
Accuracy
100.0%
Counts
1690 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓98.4%
(/.f64 (sinh.f64 x) (cosh.f64 x))
✓96.0%
(+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)
✓96.3%
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (*.f64 x x)))))
▶5.2%
(*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
✓96.3%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
✓96.6%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
▶95.4%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (*.f64 x x)))))
✓96.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
▶96.7%
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) #s(literal 1 binary64)))))))
▶96.6%
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -4/45 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))))))) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) #s(literal 1 binary64)))))))
96.5%
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64)))))))
✓5.2%
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))
▶96.5%
(*.f64 x (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) #s(literal 1 binary64)))))))
✓100.0%
(tanh.f64 x)
✓95.7%
x
Compiler

Compiled 809 to 313 computations (61.3% saved)

simplify253.0ms (2%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -4/45 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))))))) (*.f64 x (*.f64 x (*.f64 x x)))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -4/45 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))))))) (*.f64 x (*.f64 x (*.f64 x x))))))
✓cost-diff128
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -4/45 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))))))) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) #s(literal 1 binary64))))))
✓cost-diff128
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -4/45 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))))))) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) #s(literal 1 binary64)))))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) #s(literal 1 binary64))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) #s(literal 1 binary64)))))
✓cost-diff128
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) #s(literal 1 binary64))))))
✓cost-diff256
(*.f64 x (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) #s(literal 1 binary64)))))))
✓cost-diff0
(*.f64 (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (*.f64 x x))
✓cost-diff0
(*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (*.f64 x x)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (*.f64 x x))))
✓cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (*.f64 x x)))))
✓cost-diff0
(*.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 x x))
✓cost-diff0
(*.f64 x (*.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 x x)))
✓cost-diff256
(+.f64 (*.f64 x (*.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
✓cost-diff256
(*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
✓cost-diff0
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))
✓cost-diff128
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) #s(literal 1 binary64))))))
✓cost-diff128
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) #s(literal 1 binary64)))))))
Rules
4650×*-lowering-*.f32
4650×*-lowering-*.f64
2960×+-lowering-+.f64
2960×+-lowering-+.f32
1184×associate-*r*
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0551443
12001236
27601226
335761211
461791165
081081165
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* x (* (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (+ 1/9 (* (* x x) -4/45)) (* x (* x (* x x)))))) (/ 1 (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1))))))
x
(* (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (+ 1/9 (* (* x x) -4/45)) (* x (* x (* x x)))))) (/ 1 (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1)))))
(+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (+ 1/9 (* (* x x) -4/45)) (* x (* x (* x x))))))
1
(* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (+ 1/9 (* (* x x) -4/45)) (* x (* x (* x x)))))
(* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))
(* x x)
(+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))
-1/3
(* (* x x) (+ 2/15 (* (* x x) -17/315)))
(+ 2/15 (* (* x x) -17/315))
2/15
(* (* x x) -17/315)
-17/315
(* (+ 1/9 (* (* x x) -4/45)) (* x (* x (* x x))))
(+ 1/9 (* (* x x) -4/45))
1/9
(* (* x x) -4/45)
-4/45
(* x (* x (* x x)))
(* x (* x x))
(/ 1 (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1))))
(+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1)))
(* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1))
(- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1)
(* x (+ (* x (* (* x 2/15) (* x x))) (* x (* x -1/3))))
x
(+ (* x (* (* x 2/15) (* x x))) (* x (* x -1/3)))
(* x (* (* x 2/15) (* x x)))
(* (* x 2/15) (* x x))
(* x 2/15)
2/15
(* x x)
(* x (* x -1/3))
(* x -1/3)
-1/3
(* x (+ 1 (* x (* (* x (+ 2/15 (* (* x x) -17/315))) (* x x)))))
x
(+ 1 (* x (* (* x (+ 2/15 (* (* x x) -17/315))) (* x x))))
1
(* x (* (* x (+ 2/15 (* (* x x) -17/315))) (* x x)))
(* (* x (+ 2/15 (* (* x x) -17/315))) (* x x))
(* x (+ 2/15 (* (* x x) -17/315)))
(+ 2/15 (* (* x x) -17/315))
2/15
(* (* x x) -17/315)
(* x x)
-17/315
(* x (* 1 (/ 1 (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1))))))
x
(* 1 (/ 1 (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1)))))
1
(/ 1 (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1))))
(+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1)))
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(* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))
(* x x)
(+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))
-1/3
(* (* x x) (+ 2/15 (* (* x x) -17/315)))
(+ 2/15 (* (* x x) -17/315))
2/15
(* (* x x) -17/315)
-17/315
(- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1)
(* x (* (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (+ 1/9 (* x (* x (+ -4/45 (* (* x x) (+ 254/4725 (* x (* x -68/4725)))))))) (* x (* x (* x x)))))) (/ 1 (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1))))))
x
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1
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(* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))
(* x x)
(+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))
-1/3
(* (* x x) (+ 2/15 (* (* x x) -17/315)))
(+ 2/15 (* (* x x) -17/315))
2/15
(* (* x x) -17/315)
-17/315
(* (+ 1/9 (* x (* x (+ -4/45 (* (* x x) (+ 254/4725 (* x (* x -68/4725)))))))) (* x (* x (* x x))))
(+ 1/9 (* x (* x (+ -4/45 (* (* x x) (+ 254/4725 (* x (* x -68/4725))))))))
1/9
(* x (* x (+ -4/45 (* (* x x) (+ 254/4725 (* x (* x -68/4725)))))))
(* x (+ -4/45 (* (* x x) (+ 254/4725 (* x (* x -68/4725))))))
(+ -4/45 (* (* x x) (+ 254/4725 (* x (* x -68/4725)))))
-4/45
(* (* x x) (+ 254/4725 (* x (* x -68/4725))))
(+ 254/4725 (* x (* x -68/4725)))
254/4725
(* x (* x -68/4725))
(* x -68/4725)
-68/4725
(* x (* x (* x x)))
(* x (* x x))
(/ 1 (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1))))
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(- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1)
Outputs
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x
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2/15
#s(literal 2/15 binary64)
(* (* x x) -17/315)
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
-17/315
#s(literal -17/315 binary64)
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1/9
#s(literal 1/9 binary64)
(* (* x x) -4/45)
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-4/45
#s(literal -4/45 binary64)
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x
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(* (* x 2/15) (* x x))
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(* x 2/15)
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2/15
#s(literal 2/15 binary64)
(* x x)
(*.f64 x x)
(* x (* x -1/3))
(*.f64 (*.f64 x x) #s(literal -1/3 binary64))
(* x -1/3)
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-1/3
#s(literal -1/3 binary64)
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x
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1
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2/15
#s(literal 2/15 binary64)
(* (* x x) -17/315)
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* x x)
(*.f64 x x)
-17/315
#s(literal -17/315 binary64)
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x
(* 1 (/ 1 (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1)))))
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1
#s(literal 1 binary64)
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(* x x)
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2/15
#s(literal 2/15 binary64)
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-17/315
#s(literal -17/315 binary64)
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x
(* (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (+ 1/9 (* x (* x (+ -4/45 (* (* x x) (+ 254/4725 (* x (* x -68/4725)))))))) (* x (* x (* x x)))))) (/ 1 (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -4/45 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 254/4725 binary64) (*.f64 (*.f64 x x) #s(literal -68/4725 binary64)))))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) #s(literal -1 binary64)))))
(+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (+ 1/9 (* x (* x (+ -4/45 (* (* x x) (+ 254/4725 (* x (* x -68/4725)))))))) (* x (* x (* x x))))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -4/45 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 254/4725 binary64) (*.f64 (*.f64 x x) #s(literal -68/4725 binary64)))))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))))))
1
#s(literal 1 binary64)
(* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (+ 1/9 (* x (* x (+ -4/45 (* (* x x) (+ 254/4725 (* x (* x -68/4725)))))))) (* x (* x (* x x)))))
(*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -4/45 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 254/4725 binary64) (*.f64 (*.f64 x x) #s(literal -68/4725 binary64)))))))) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))
(* x x)
(*.f64 x x)
(+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))
(+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))
-1/3
#s(literal -1/3 binary64)
(* (* x x) (+ 2/15 (* (* x x) -17/315)))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(+ 2/15 (* (* x x) -17/315))
(+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))
2/15
#s(literal 2/15 binary64)
(* (* x x) -17/315)
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
-17/315
#s(literal -17/315 binary64)
(* (+ 1/9 (* x (* x (+ -4/45 (* (* x x) (+ 254/4725 (* x (* x -68/4725)))))))) (* x (* x (* x x))))
(*.f64 x (*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -4/45 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 254/4725 binary64) (*.f64 (*.f64 x x) #s(literal -68/4725 binary64))))))))))))
(+ 1/9 (* x (* x (+ -4/45 (* (* x x) (+ 254/4725 (* x (* x -68/4725))))))))
(+.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -4/45 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 254/4725 binary64) (*.f64 (*.f64 x x) #s(literal -68/4725 binary64))))))))
1/9
#s(literal 1/9 binary64)
(* x (* x (+ -4/45 (* (* x x) (+ 254/4725 (* x (* x -68/4725)))))))
(*.f64 x (*.f64 x (+.f64 #s(literal -4/45 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 254/4725 binary64) (*.f64 (*.f64 x x) #s(literal -68/4725 binary64)))))))
(* x (+ -4/45 (* (* x x) (+ 254/4725 (* x (* x -68/4725))))))
(*.f64 x (+.f64 #s(literal -4/45 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 254/4725 binary64) (*.f64 (*.f64 x x) #s(literal -68/4725 binary64))))))
(+ -4/45 (* (* x x) (+ 254/4725 (* x (* x -68/4725)))))
(+.f64 #s(literal -4/45 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 254/4725 binary64) (*.f64 (*.f64 x x) #s(literal -68/4725 binary64)))))
-4/45
#s(literal -4/45 binary64)
(* (* x x) (+ 254/4725 (* x (* x -68/4725))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 254/4725 binary64) (*.f64 (*.f64 x x) #s(literal -68/4725 binary64))))
(+ 254/4725 (* x (* x -68/4725)))
(+.f64 #s(literal 254/4725 binary64) (*.f64 (*.f64 x x) #s(literal -68/4725 binary64)))
254/4725
#s(literal 254/4725 binary64)
(* x (* x -68/4725))
(*.f64 (*.f64 x x) #s(literal -68/4725 binary64))
(* x -68/4725)
(*.f64 x #s(literal -68/4725 binary64))
-68/4725
#s(literal -68/4725 binary64)
(* x (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x x)))
(* x (* x x))
(*.f64 x (*.f64 x x))
(/ 1 (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) #s(literal -1 binary64)))))
(+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) #s(literal -1 binary64))))
(* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1))
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) #s(literal -1 binary64)))
(- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1)
(+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))) #s(literal -1 binary64))

localize473.0ms (3.8%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))
✓accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64)))))
✓accuracy99.6%
(*.f64 x (+.f64 #s(literal -4/45 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64)))))))
✓accuracy99.6%
(*.f64 x #s(literal -68/4725 binary64))
✓accuracy99.9%
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) #s(literal 1 binary64)))
✓accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
✓accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))
✓accuracy99.9%
(*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (*.f64 x x)))
✓accuracy99.8%
(*.f64 (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (*.f64 x x))
✓accuracy99.8%
(*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
✓accuracy99.8%
(*.f64 x #s(literal 2/15 binary64))
✓accuracy99.8%
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
✓accuracy99.8%
(*.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 x x))
✓accuracy99.5%
(*.f64 x #s(literal -1/3 binary64))
✓accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal -4/45 binary64))
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
✓accuracy99.7%
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))
Results
287.0ms256×0valid
Compiler

Compiled 1508 to 56 computations (96.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 148.0ms
ival-mult: 66.0ms (44.7% of total)
ival-add: 51.0ms (34.5% of total)
...c/correct-round.rkt:119:19: 27.0ms (18.3% of total)
ival-div: 2.0ms (1.4% of total)
ival-sub: 1.0ms (0.7% of total)
const: 1.0ms (0.7% of total)
backward-pass: 0.0ms (0% of total)

series22.0ms (0.2%)

Counts
32 → 384
Calls
Call 1
Inputs
#<alt (* x (* (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (+ 1/9 (* (* x x) -4/45)) (* x (* x (* x x)))))) (/ 1 (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1))))))>
#<alt (* (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (+ 1/9 (* (* x x) -4/45)) (* x (* x (* x x)))))) (/ 1 (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1)))))>
#<alt (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (+ 1/9 (* (* x x) -4/45)) (* x (* x (* x x))))))>
#<alt (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (+ 1/9 (* (* x x) -4/45)) (* x (* x (* x x)))))>
#<alt (* x (+ (* x (* (* x 2/15) (* x x))) (* x (* x -1/3))))>
#<alt (+ (* x (* (* x 2/15) (* x x))) (* x (* x -1/3)))>
#<alt (* x (* (* x 2/15) (* x x)))>
#<alt (* (* x 2/15) (* x x))>
#<alt (* x (+ 1 (* x (* (* x (+ 2/15 (* (* x x) -17/315))) (* x x)))))>
#<alt (+ 1 (* x (* (* x (+ 2/15 (* (* x x) -17/315))) (* x x))))>
#<alt (* x (* (* x (+ 2/15 (* (* x x) -17/315))) (* x x)))>
#<alt (* (* x (+ 2/15 (* (* x x) -17/315))) (* x x))>
#<alt (* x (* 1 (/ 1 (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1))))))>
#<alt (* 1 (/ 1 (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1)))))>
#<alt (/ 1 (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1))))>
#<alt (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1)))>
#<alt (* x (* (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (+ 1/9 (* x (* x (+ -4/45 (* (* x x) (+ 254/4725 (* x (* x -68/4725)))))))) (* x (* x (* x x)))))) (/ 1 (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1))))))>
#<alt (* (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (+ 1/9 (* x (* x (+ -4/45 (* (* x x) (+ 254/4725 (* x (* x -68/4725)))))))) (* x (* x (* x x)))))) (/ 1 (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1)))))>
#<alt (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (+ 1/9 (* x (* x (+ -4/45 (* (* x x) (+ 254/4725 (* x (* x -68/4725)))))))) (* x (* x (* x x))))))>
#<alt (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (+ 1/9 (* x (* x (+ -4/45 (* (* x x) (+ 254/4725 (* x (* x -68/4725)))))))) (* x (* x (* x x)))))>
#<alt (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))>
#<alt (* (* x x) -17/315)>
#<alt (* (* x x) -4/45)>
#<alt (* (* x x) (+ 2/15 (* (* x x) -17/315)))>
#<alt (* x -1/3)>
#<alt (* x (* x -1/3))>
#<alt (* x 2/15)>
#<alt (* x (+ 2/15 (* (* x x) -17/315)))>
#<alt (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1))>
#<alt (* x -68/4725)>
#<alt (* x (+ -4/45 (* (* x x) (+ 254/4725 (* x (* x -68/4725))))))>
#<alt (* (* x x) (+ 254/4725 (* x (* x -68/4725))))>
Outputs
#<alt x>
#<alt (* x (+ 1 (* -1/3 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))>
#<alt (* 28/17 x)>
#<alt (* x (+ 28/17 (* 581/289 (/ 1 (pow x 2)))))>
#<alt (* x (- (+ 28/17 (* 581/289 (/ 1 (pow x 2)))) (/ 25578/4913 (pow x 4))))>
#<alt (* x (+ 28/17 (+ (* -1 (/ (+ 25578/4913 (* 4660341/83521 (/ 1 (pow x 2)))) (pow x 4))) (* 581/289 (/ 1 (pow x 2))))))>
#<alt (* 28/17 x)>
#<alt (* x (+ 28/17 (* 581/289 (/ 1 (pow x 2)))))>
#<alt (* -1 (* x (- (/ 25578/4913 (pow x 4)) (+ 28/17 (* 581/289 (/ 1 (pow x 2)))))))>
#<alt (* -1 (* x (- (+ (* 4660341/83521 (/ 1 (pow x 6))) (/ 25578/4913 (pow x 4))) (+ 28/17 (* 581/289 (/ 1 (pow x 2)))))))>
#<alt 1>
#<alt (+ 1 (* -1/3 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))>
#<alt 28/17>
#<alt (+ 28/17 (* 581/289 (/ 1 (pow x 2))))>
#<alt (- (+ 28/17 (* 581/289 (/ 1 (pow x 2)))) (/ 25578/4913 (pow x 4)))>
#<alt (+ 28/17 (+ (* -1 (/ (+ 25578/4913 (* 4660341/83521 (/ 1 (pow x 2)))) (pow x 4))) (* 581/289 (/ 1 (pow x 2)))))>
#<alt 28/17>
#<alt (+ 28/17 (* 581/289 (/ 1 (pow x 2))))>
#<alt (- (+ 28/17 (* 581/289 (/ 1 (pow x 2)))) (/ 25578/4913 (pow x 4)))>
#<alt (+ 28/17 (+ (* -1 (/ (+ 25578/4913 (* 4660341/83521 (/ 1 (pow x 2)))) (pow x 4))) (* 581/289 (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/27 (pow x 6)))>
#<alt (+ 1 (* (pow x 6) (- (* 2/45 (pow x 2)) 1/27)))>
#<alt (+ 1 (* (pow x 6) (- (* (pow x 2) (+ 2/45 (* -253/14175 (pow x 2)))) 1/27)))>
#<alt (* 68/14175 (pow x 12))>
#<alt (* (pow x 12) (- 68/14175 (* 253/14175 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (- (+ 68/14175 (/ 2/45 (pow x 4))) (* 253/14175 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (- (+ 68/14175 (/ 2/45 (pow x 4))) (+ (* 253/14175 (/ 1 (pow x 2))) (* 1/27 (/ 1 (pow x 6))))))>
#<alt (* 68/14175 (pow x 12))>
#<alt (* (pow x 12) (- 68/14175 (* 253/14175 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (- (+ 68/14175 (/ 2/45 (pow x 4))) (* 253/14175 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (- (+ 68/14175 (/ 2/45 (pow x 4))) (+ (* 253/14175 (/ 1 (pow x 2))) (* 1/27 (/ 1 (pow x 6))))))>
#<alt (* -1/27 (pow x 6))>
#<alt (* (pow x 6) (- (* 2/45 (pow x 2)) 1/27))>
#<alt (* (pow x 6) (- (* (pow x 2) (+ 2/45 (* -253/14175 (pow x 2)))) 1/27))>
#<alt (* (pow x 6) (- (* (pow x 2) (+ 2/45 (* (pow x 2) (- (* 68/14175 (pow x 2)) 253/14175)))) 1/27))>
#<alt (* 68/14175 (pow x 12))>
#<alt (* (pow x 12) (- 68/14175 (* 253/14175 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (- (+ 68/14175 (/ 2/45 (pow x 4))) (* 253/14175 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (- (+ 68/14175 (/ 2/45 (pow x 4))) (+ (* 253/14175 (/ 1 (pow x 2))) (* 1/27 (/ 1 (pow x 6))))))>
#<alt (* 68/14175 (pow x 12))>
#<alt (* (pow x 12) (- 68/14175 (* 253/14175 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (- (+ 68/14175 (/ 2/45 (pow x 4))) (* 253/14175 (/ 1 (pow x 2)))))>
#<alt (* (pow x 12) (- (+ 68/14175 (/ 2/45 (pow x 4))) (+ (* 253/14175 (/ 1 (pow x 2))) (* 1/27 (/ 1 (pow x 6))))))>
#<alt (* -1/3 (pow x 3))>
#<alt (* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* 2/15 (pow x 5))>
#<alt (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))>
#<alt (* 2/15 (pow x 5))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))>
#<alt (* -1/3 (pow x 2))>
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#<alt (* (pow x 4) (- (* 254/4725 (/ 1 (pow x 2))) 68/4725))>
#<alt (* (pow x 4) (- (* 254/4725 (/ 1 (pow x 2))) 68/4725))>
#<alt (* (pow x 4) (- (* 254/4725 (/ 1 (pow x 2))) 68/4725))>
Calls

96 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(* x (* (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (+ 1/9 (* x (* x (+ -4/45 (* (* x x) (+ 254/4725 (* x (* x -68/4725)))))))) (* x (* x (* x x)))))) (/ 1 (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1))))))
1.0ms
x
@inf
(* x (* (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (+ 1/9 (* (* x x) -4/45)) (* x (* x (* x x)))))) (/ 1 (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1))))))
0.0ms
x
@0
(* x (* (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (+ 1/9 (* x (* x (+ -4/45 (* (* x x) (+ 254/4725 (* x (* x -68/4725)))))))) (* x (* x (* x x)))))) (/ 1 (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1))))))
0.0ms
x
@inf
(* x (+ 1 (* x (* (* x (+ 2/15 (* (* x x) -17/315))) (* x x)))))
0.0ms
x
@-inf
(* x (* (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (+ 1/9 (* x (* x (+ -4/45 (* (* x x) (+ 254/4725 (* x (* x -68/4725)))))))) (* x (* x (* x x)))))) (/ 1 (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1))))))

rewrite503.0ms (4%)

Algorithm
1×batch-egg-rewrite
Rules
4132×*-lowering-*.f32
4132×*-lowering-*.f64
2598×/-lowering-/.f32
2598×/-lowering-/.f64
1764×pow-lowering-pow.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
055856
1351724
23311724
08589724
Stop Event
1×iter limit
1×node limit
Counts
32 → 613
Calls
Call 1
Inputs
(* x (* (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (+ 1/9 (* (* x x) -4/45)) (* x (* x (* x x)))))) (/ 1 (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1))))))
(* (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (+ 1/9 (* (* x x) -4/45)) (* x (* x (* x x)))))) (/ 1 (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1)))))
(+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (+ 1/9 (* (* x x) -4/45)) (* x (* x (* x x))))))
(* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (+ 1/9 (* (* x x) -4/45)) (* x (* x (* x x)))))
(* x (+ (* x (* (* x 2/15) (* x x))) (* x (* x -1/3))))
(+ (* x (* (* x 2/15) (* x x))) (* x (* x -1/3)))
(* x (* (* x 2/15) (* x x)))
(* (* x 2/15) (* x x))
(* x (+ 1 (* x (* (* x (+ 2/15 (* (* x x) -17/315))) (* x x)))))
(+ 1 (* x (* (* x (+ 2/15 (* (* x x) -17/315))) (* x x))))
(* x (* (* x (+ 2/15 (* (* x x) -17/315))) (* x x)))
(* (* x (+ 2/15 (* (* x x) -17/315))) (* x x))
(* x (* 1 (/ 1 (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1))))))
(* 1 (/ 1 (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1)))))
(/ 1 (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1))))
(+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1)))
(* x (* (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (+ 1/9 (* x (* x (+ -4/45 (* (* x x) (+ 254/4725 (* x (* x -68/4725)))))))) (* x (* x (* x x)))))) (/ 1 (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1))))))
(* (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (+ 1/9 (* x (* x (+ -4/45 (* (* x x) (+ 254/4725 (* x (* x -68/4725)))))))) (* x (* x (* x x)))))) (/ 1 (+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1)))))
(+ 1 (* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (+ 1/9 (* x (* x (+ -4/45 (* (* x x) (+ 254/4725 (* x (* x -68/4725)))))))) (* x (* x (* x x))))))
(* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (* (+ 1/9 (* x (* x (+ -4/45 (* (* x x) (+ 254/4725 (* x (* x -68/4725)))))))) (* x (* x (* x x)))))
(* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315)))))
(* (* x x) -17/315)
(* (* x x) -4/45)
(* (* x x) (+ 2/15 (* (* x x) -17/315)))
(* x -1/3)
(* x (* x -1/3))
(* x 2/15)
(* x (+ 2/15 (* (* x x) -17/315)))
(* (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) (- (* (* x x) (+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))) 1))
(* x -68/4725)
(* x (+ -4/45 (* (* x x) (+ 254/4725 (* x (* x -68/4725))))))
(* (* x x) (+ 254/4725 (* x (* x -68/4725))))
Outputs
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) #s(literal -1 binary64)))))))
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) #s(literal -1 binary64)))))))
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))))) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))))) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))))) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) #s(literal -1 binary64)))))))))
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) #s(literal -1 binary64))))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) #s(literal -1 binary64))))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) #s(literal -1 binary64))))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) #s(literal -1 binary64))))))) x)
(*.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) #s(literal -1 binary64))))))) #s(literal 1 binary64))
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) #s(literal -1 binary64))))))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) #s(literal -1 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))))))
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(/.f64 (*.f64 x (+.f64 #s(literal -64/91125 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64)))) (+.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))))))) (+.f64 #s(literal 16/2025 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))) #s(literal -4/45 binary64)))))
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(/.f64 (*.f64 (+.f64 #s(literal -64/91125 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64)))) (+.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64)))))))) x) (+.f64 #s(literal 16/2025 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))) #s(literal -4/45 binary64)))))
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(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x #s(literal -4/45 binary64)) (*.f64 x #s(literal -4/45 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64)))))))) (neg.f64 (-.f64 (*.f64 x #s(literal -4/45 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))))))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal -64/91125 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64)))) (+.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64)))))))))) (neg.f64 (+.f64 #s(literal 16/2025 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))) #s(literal -4/45 binary64))))))
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(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -64/91125 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64)))) (+.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64)))))))) x)) (neg.f64 (+.f64 #s(literal 16/2025 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))) #s(literal -4/45 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 16/2025 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64)))) (+.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))))) x)) (neg.f64 (-.f64 #s(literal -4/45 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))))))
(*.f64 x (+.f64 #s(literal -4/45 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64)))))))
(*.f64 (+.f64 #s(literal -4/45 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64)))))) x)
(+.f64 (*.f64 (*.f64 x x) #s(literal 254/4725 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))))
(+.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))) (*.f64 (*.f64 x x) #s(literal 254/4725 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 254/4725 binary64)) (*.f64 (*.f64 x x) #s(literal 254/4725 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 254/4725 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))))) (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -68/4725 binary64)))))) (-.f64 (*.f64 (*.f64 x x) #s(literal 254/4725 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))))))
(fma.f64 (*.f64 x x) #s(literal 254/4725 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))))
(fma.f64 #s(literal 254/4725 binary64) (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))))
(/.f64 (+.f64 (*.f64 #s(literal 16387064/105488578125 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -314432/105488578125 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 254/4725 binary64)) (*.f64 (*.f64 x x) #s(literal 254/4725 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -68/4725 binary64)))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 254/4725 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -68/4725 binary64)))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 254/4725 binary64)) (*.f64 (*.f64 x x) #s(literal 254/4725 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))))) (-.f64 (*.f64 (*.f64 x x) #s(literal 254/4725 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -68/4725 binary64)))))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 16387064/105488578125 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -314432/105488578125 binary64))))) (+.f64 #s(literal 64516/22325625 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -68/4725 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -68/4725 binary64))) #s(literal 254/4725 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 64516/22325625 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4624/22325625 binary64)))) (-.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 16387064/105488578125 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -314432/105488578125 binary64)))) (*.f64 x x)) (+.f64 #s(literal 64516/22325625 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -68/4725 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -68/4725 binary64))) #s(literal 254/4725 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 64516/22325625 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4624/22325625 binary64))) (*.f64 x x)) (-.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64)))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 16387064/105488578125 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -314432/105488578125 binary64)))) (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 254/4725 binary64)) (*.f64 (*.f64 x x) #s(literal 254/4725 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -68/4725 binary64)))))) (*.f64 (*.f64 (*.f64 x x) #s(literal 254/4725 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 254/4725 binary64)) (*.f64 (*.f64 x x) #s(literal 254/4725 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -68/4725 binary64)))))))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 254/4725 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 16387064/105488578125 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -314432/105488578125 binary64)))))) (neg.f64 (+.f64 #s(literal 64516/22325625 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -68/4725 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -68/4725 binary64))) #s(literal 254/4725 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 64516/22325625 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4624/22325625 binary64))))) (neg.f64 (-.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))))
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(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 64516/22325625 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 4624/22325625 binary64))) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))))
(*.f64 x (*.f64 x (+.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64)))))
(*.f64 (+.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64)))) (*.f64 x x))
(*.f64 (*.f64 x (+.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))) x)

simplify545.0ms (4.4%)

Algorithm
1×egg-herbie
Rules
5738×*-lowering-*.f32
5738×*-lowering-*.f64
3328×+-lowering-+.f64
3328×+-lowering-+.f32
1856×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03343731
19543587
227773536
083643536
Stop Event
1×iter limit
1×node limit
Counts
384 → 384
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* 28/17 x)
(* x (+ 28/17 (* 581/289 (/ 1 (pow x 2)))))
(* x (- (+ 28/17 (* 581/289 (/ 1 (pow x 2)))) (/ 25578/4913 (pow x 4))))
(* x (+ 28/17 (+ (* -1 (/ (+ 25578/4913 (* 4660341/83521 (/ 1 (pow x 2)))) (pow x 4))) (* 581/289 (/ 1 (pow x 2))))))
(* 28/17 x)
(* x (+ 28/17 (* 581/289 (/ 1 (pow x 2)))))
(* -1 (* x (- (/ 25578/4913 (pow x 4)) (+ 28/17 (* 581/289 (/ 1 (pow x 2)))))))
(* -1 (* x (- (+ (* 4660341/83521 (/ 1 (pow x 6))) (/ 25578/4913 (pow x 4))) (+ 28/17 (* 581/289 (/ 1 (pow x 2)))))))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))
28/17
(+ 28/17 (* 581/289 (/ 1 (pow x 2))))
(- (+ 28/17 (* 581/289 (/ 1 (pow x 2)))) (/ 25578/4913 (pow x 4)))
(+ 28/17 (+ (* -1 (/ (+ 25578/4913 (* 4660341/83521 (/ 1 (pow x 2)))) (pow x 4))) (* 581/289 (/ 1 (pow x 2)))))
28/17
(+ 28/17 (* 581/289 (/ 1 (pow x 2))))
(- (+ 28/17 (* 581/289 (/ 1 (pow x 2)))) (/ 25578/4913 (pow x 4)))
(+ 28/17 (+ (* -1 (/ (+ 25578/4913 (* 4660341/83521 (/ 1 (pow x 2)))) (pow x 4))) (* 581/289 (/ 1 (pow x 2)))))
1
(+ 1 (* -1/27 (pow x 6)))
(+ 1 (* (pow x 6) (- (* 2/45 (pow x 2)) 1/27)))
(+ 1 (* (pow x 6) (- (* (pow x 2) (+ 2/45 (* -253/14175 (pow x 2)))) 1/27)))
(* 68/14175 (pow x 12))
(* (pow x 12) (- 68/14175 (* 253/14175 (/ 1 (pow x 2)))))
(* (pow x 12) (- (+ 68/14175 (/ 2/45 (pow x 4))) (* 253/14175 (/ 1 (pow x 2)))))
(* (pow x 12) (- (+ 68/14175 (/ 2/45 (pow x 4))) (+ (* 253/14175 (/ 1 (pow x 2))) (* 1/27 (/ 1 (pow x 6))))))
(* 68/14175 (pow x 12))
(* (pow x 12) (- 68/14175 (* 253/14175 (/ 1 (pow x 2)))))
(* (pow x 12) (- (+ 68/14175 (/ 2/45 (pow x 4))) (* 253/14175 (/ 1 (pow x 2)))))
(* (pow x 12) (- (+ 68/14175 (/ 2/45 (pow x 4))) (+ (* 253/14175 (/ 1 (pow x 2))) (* 1/27 (/ 1 (pow x 6))))))
(* -1/27 (pow x 6))
(* (pow x 6) (- (* 2/45 (pow x 2)) 1/27))
(* (pow x 6) (- (* (pow x 2) (+ 2/45 (* -253/14175 (pow x 2)))) 1/27))
(* (pow x 6) (- (* (pow x 2) (+ 2/45 (* (pow x 2) (- (* 68/14175 (pow x 2)) 253/14175)))) 1/27))
(* 68/14175 (pow x 12))
(* (pow x 12) (- 68/14175 (* 253/14175 (/ 1 (pow x 2)))))
(* (pow x 12) (- (+ 68/14175 (/ 2/45 (pow x 4))) (* 253/14175 (/ 1 (pow x 2)))))
(* (pow x 12) (- (+ 68/14175 (/ 2/45 (pow x 4))) (+ (* 253/14175 (/ 1 (pow x 2))) (* 1/27 (/ 1 (pow x 6))))))
(* 68/14175 (pow x 12))
(* (pow x 12) (- 68/14175 (* 253/14175 (/ 1 (pow x 2)))))
(* (pow x 12) (- (+ 68/14175 (/ 2/45 (pow x 4))) (* 253/14175 (/ 1 (pow x 2)))))
(* (pow x 12) (- (+ 68/14175 (/ 2/45 (pow x 4))) (+ (* 253/14175 (/ 1 (pow x 2))) (* 1/27 (/ 1 (pow x 6))))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))
(* 2/15 (pow x 5))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 5) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 5))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1 (* (pow x 5) (- (* 1/3 (/ 1 (pow x 2))) 2/15)))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 4))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(* 2/15 (pow x 4))
(* 2/15 (pow x 4))
(* 2/15 (pow x 4))
(* 2/15 (pow x 4))
(* 2/15 (pow x 4))
(* 2/15 (pow x 4))
(* 2/15 (pow x 4))
(* 2/15 (pow x 4))
(* 2/15 (pow x 4))
(* 2/15 (pow x 4))
(* 2/15 (pow x 4))
(* 2/15 (pow x 4))
(* 2/15 (pow x 3))
(* 2/15 (pow x 3))
(* 2/15 (pow x 3))
(* 2/15 (pow x 3))
(* 2/15 (pow x 3))
(* 2/15 (pow x 3))
(* 2/15 (pow x 3))
(* 2/15 (pow x 3))
(* 2/15 (pow x 3))
(* 2/15 (pow x 3))
(* 2/15 (pow x 3))
(* 2/15 (pow x 3))
x
(* x (+ 1 (* 2/15 (pow x 4))))
(* x (+ 1 (* (pow x 4) (+ 2/15 (* -17/315 (pow x 2))))))
(* x (+ 1 (* (pow x 4) (+ 2/15 (* -17/315 (pow x 2))))))
(* -17/315 (pow x 7))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) 17/315))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) 17/315))
(* -17/315 (pow x 7))
(* -1 (* (pow x 7) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (+ 17/315 (* -1 (/ (+ 2/15 (/ 1 (pow x 4))) (pow x 2))))))
(* -1 (* (pow x 7) (+ 17/315 (* -1 (/ (+ 2/15 (/ 1 (pow x 4))) (pow x 2))))))
1
(+ 1 (* 2/15 (pow x 4)))
(+ 1 (* (pow x 4) (+ 2/15 (* -17/315 (pow x 2)))))
(+ 1 (* (pow x 4) (+ 2/15 (* -17/315 (pow x 2)))))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) 17/315))
(* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) 17/315))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) 17/315))
(* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) 17/315))
(* 2/15 (pow x 4))
(* (pow x 4) (+ 2/15 (* -17/315 (pow x 2))))
(* (pow x 4) (+ 2/15 (* -17/315 (pow x 2))))
(* (pow x 4) (+ 2/15 (* -17/315 (pow x 2))))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* 2/15 (pow x 3))
(* (pow x 3) (+ 2/15 (* -17/315 (pow x 2))))
(* (pow x 3) (+ 2/15 (* -17/315 (pow x 2))))
(* (pow x 3) (+ 2/15 (* -17/315 (pow x 2))))
(* -17/315 (pow x 5))
(* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 5) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* -17/315 (pow x 5))
(* -1 (* (pow x 5) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -16/945 (pow x 2)))) 1/3))))
(/ 99225/289 (pow x 11))
(/ (+ 99225/289 (* 8334900/4913 (/ 1 (pow x 2)))) (pow x 11))
(/ (+ 99225/289 (+ (* 8334900/4913 (/ 1 (pow x 2))) (/ 170865450/83521 (pow x 4)))) (pow x 11))
(/ (- (+ 99225/289 (+ (* 8334900/4913 (/ 1 (pow x 2))) (/ 170865450/83521 (pow x 4)))) (* 24260810175/1419857 (/ 1 (pow x 6)))) (pow x 11))
(/ 99225/289 (pow x 11))
(/ (+ 99225/289 (* 8334900/4913 (/ 1 (pow x 2)))) (pow x 11))
(* -1 (/ (- (* -1 (/ (+ 8334900/4913 (* 170865450/83521 (/ 1 (pow x 2)))) (pow x 2))) 99225/289) (pow x 11)))
(* -1 (/ (- (* 24260810175/1419857 (/ 1 (pow x 6))) (+ 99225/289 (+ (* 8334900/4913 (/ 1 (pow x 2))) (/ 170865450/83521 (pow x 4))))) (pow x 11)))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -16/945 (pow x 2)))) 1/3)))
(/ 99225/289 (pow x 12))
(/ (+ 99225/289 (* 8334900/4913 (/ 1 (pow x 2)))) (pow x 12))
(/ (+ 99225/289 (+ (* 8334900/4913 (/ 1 (pow x 2))) (/ 170865450/83521 (pow x 4)))) (pow x 12))
(/ (- (+ 99225/289 (+ (* 8334900/4913 (/ 1 (pow x 2))) (/ 170865450/83521 (pow x 4)))) (* 24260810175/1419857 (/ 1 (pow x 6)))) (pow x 12))
(/ 99225/289 (pow x 12))
(/ (+ 99225/289 (* 8334900/4913 (/ 1 (pow x 2)))) (pow x 12))
(/ (+ 99225/289 (+ (* 8334900/4913 (/ 1 (pow x 2))) (/ 170865450/83521 (pow x 4)))) (pow x 12))
(/ (- (+ 99225/289 (+ (* 8334900/4913 (/ 1 (pow x 2))) (/ 170865450/83521 (pow x 4)))) (* 24260810175/1419857 (/ 1 (pow x 6)))) (pow x 12))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -16/945 (pow x 2)))) 1/3)))
(/ 99225/289 (pow x 12))
(/ (+ 99225/289 (* 8334900/4913 (/ 1 (pow x 2)))) (pow x 12))
(/ (+ 99225/289 (+ (* 8334900/4913 (/ 1 (pow x 2))) (/ 170865450/83521 (pow x 4)))) (pow x 12))
(/ (- (+ 99225/289 (+ (* 8334900/4913 (/ 1 (pow x 2))) (/ 170865450/83521 (pow x 4)))) (* 24260810175/1419857 (/ 1 (pow x 6)))) (pow x 12))
(/ 99225/289 (pow x 12))
(/ (+ 99225/289 (* 8334900/4913 (/ 1 (pow x 2)))) (pow x 12))
(/ (+ 99225/289 (+ (* 8334900/4913 (/ 1 (pow x 2))) (/ 170865450/83521 (pow x 4)))) (pow x 12))
(/ (- (+ 99225/289 (+ (* 8334900/4913 (/ 1 (pow x 2))) (/ 170865450/83521 (pow x 4)))) (* 24260810175/1419857 (/ 1 (pow x 6)))) (pow x 12))
1
(+ 1 (* 1/3 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/3 (* -1/45 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/3 (* (pow x 2) (- (* -11/315 (pow x 2)) 1/45)))))
(* 289/99225 (pow x 12))
(* (pow x 12) (- 289/99225 (* 68/4725 (/ 1 (pow x 2)))))
(* (pow x 12) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (* 68/4725 (/ 1 (pow x 2)))))
(* (pow x 12) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (+ (* 68/4725 (/ 1 (pow x 2))) (* 11/315 (/ 1 (pow x 6))))))
(* 289/99225 (pow x 12))
(* (pow x 12) (- 289/99225 (* 68/4725 (/ 1 (pow x 2)))))
(* (pow x 12) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (* 68/4725 (/ 1 (pow x 2)))))
(* (pow x 12) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (+ (* 68/4725 (/ 1 (pow x 2))) (* 11/315 (/ 1 (pow x 6))))))
x
(* x (+ 1 (* -1/3 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(* 4/15 (pow x 5))
(* (pow x 5) (- 4/15 (* 86/255 (/ 1 (pow x 2)))))
(* (pow x 5) (+ 4/15 (* -1 (/ (+ 86/255 (* 1204/1445 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 5) (- (+ 4/15 (* -1 (/ (+ 1204/1445 (* 171353/24565 (/ 1 (pow x 2)))) (pow x 4)))) (* 86/255 (/ 1 (pow x 2)))))
(* 4/15 (pow x 5))
(* -1 (* (pow x 5) (- (* 86/255 (/ 1 (pow x 2))) 4/15)))
(* -1 (* (pow x 5) (- (+ (/ 1204/1445 (pow x 4)) (* 86/255 (/ 1 (pow x 2)))) 4/15)))
(* -1 (* (pow x 5) (- (+ (/ 1204/1445 (pow x 4)) (+ (* 86/255 (/ 1 (pow x 2))) (* 171353/24565 (/ 1 (pow x 6))))) 4/15)))
1
(+ 1 (* -1/3 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)))
(* 4/15 (pow x 4))
(* (pow x 4) (- 4/15 (* 86/255 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 4/15 (* -1 (/ (+ 86/255 (* 1204/1445 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 4) (- (+ 4/15 (* -1 (/ (+ 1204/1445 (* 171353/24565 (/ 1 (pow x 2)))) (pow x 4)))) (* 86/255 (/ 1 (pow x 2)))))
(* 4/15 (pow x 4))
(* (pow x 4) (- 4/15 (* 86/255 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 4/15 (* -1 (/ (+ 86/255 (* 1204/1445 (/ 1 (pow x 2)))) (pow x 2)))))
(* (pow x 4) (- (+ 4/15 (* -1 (/ (+ 1204/1445 (* 171353/24565 (/ 1 (pow x 2)))) (pow x 4)))) (* 86/255 (/ 1 (pow x 2)))))
1
(+ 1 (* -1/27 (pow x 6)))
(+ 1 (* (pow x 6) (- (* 2/45 (pow x 2)) 1/27)))
(+ 1 (* (pow x 6) (- (* (pow x 2) (+ 2/45 (* -169/4725 (pow x 2)))) 1/27)))
(* 1156/1488375 (pow x 16))
(* (pow x 16) (- 1156/1488375 (* 7174/1488375 (/ 1 (pow x 2)))))
(* (pow x 16) (- (+ 1156/1488375 (/ 44/2625 (pow x 4))) (* 7174/1488375 (/ 1 (pow x 2)))))
(* (pow x 16) (- (+ 1156/1488375 (/ 44/2625 (pow x 4))) (+ (* 7174/1488375 (/ 1 (pow x 2))) (* 169/4725 (/ 1 (pow x 6))))))
(* 1156/1488375 (pow x 16))
(* (pow x 16) (- 1156/1488375 (* 7174/1488375 (/ 1 (pow x 2)))))
(* (pow x 16) (- (+ 1156/1488375 (/ 44/2625 (pow x 4))) (* 7174/1488375 (/ 1 (pow x 2)))))
(* (pow x 16) (- (+ 1156/1488375 (/ 44/2625 (pow x 4))) (+ (* 7174/1488375 (/ 1 (pow x 2))) (* 169/4725 (/ 1 (pow x 6))))))
(* -1/27 (pow x 6))
(* (pow x 6) (- (* 2/45 (pow x 2)) 1/27))
(* (pow x 6) (- (* (pow x 2) (+ 2/45 (* -169/4725 (pow x 2)))) 1/27))
(* (pow x 6) (- (* (pow x 2) (+ 2/45 (* (pow x 2) (- (* 44/2625 (pow x 2)) 169/4725)))) 1/27))
(* 1156/1488375 (pow x 16))
(* (pow x 16) (- 1156/1488375 (* 7174/1488375 (/ 1 (pow x 2)))))
(* (pow x 16) (- (+ 1156/1488375 (/ 44/2625 (pow x 4))) (* 7174/1488375 (/ 1 (pow x 2)))))
(* (pow x 16) (- (+ 1156/1488375 (/ 44/2625 (pow x 4))) (+ (* 7174/1488375 (/ 1 (pow x 2))) (* 169/4725 (/ 1 (pow x 6))))))
(* 1156/1488375 (pow x 16))
(* (pow x 16) (- 1156/1488375 (* 7174/1488375 (/ 1 (pow x 2)))))
(* (pow x 16) (- (+ 1156/1488375 (/ 44/2625 (pow x 4))) (* 7174/1488375 (/ 1 (pow x 2)))))
(* (pow x 16) (- (+ 1156/1488375 (/ 44/2625 (pow x 4))) (+ (* 7174/1488375 (/ 1 (pow x 2))) (* 169/4725 (/ 1 (pow x 6))))))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 6))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -17/315 (pow x 2))
(* -4/45 (pow x 2))
(* -4/45 (pow x 2))
(* -4/45 (pow x 2))
(* -4/45 (pow x 2))
(* -4/45 (pow x 2))
(* -4/45 (pow x 2))
(* -4/45 (pow x 2))
(* -4/45 (pow x 2))
(* -4/45 (pow x 2))
(* -4/45 (pow x 2))
(* -4/45 (pow x 2))
(* -4/45 (pow x 2))
(* 2/15 (pow x 2))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* -17/315 (pow x 4))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* -1/3 (pow x 2))
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* 2/15 x)
(* x (+ 2/15 (* -17/315 (pow x 2))))
(* x (+ 2/15 (* -17/315 (pow x 2))))
(* x (+ 2/15 (* -17/315 (pow x 2))))
(* -17/315 (pow x 3))
(* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* (pow x 3) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(* -17/315 (pow x 3))
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(* 1/3 (pow x 2))
(* (pow x 2) (+ 1/3 (* -1/45 (pow x 2))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (- (* -11/315 (pow x 2)) 1/45))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (- (* (pow x 2) (- (* 254/4725 (pow x 2)) 11/315)) 1/45))))
(* 289/99225 (pow x 12))
(* (pow x 12) (- 289/99225 (* 68/4725 (/ 1 (pow x 2)))))
(* (pow x 12) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (* 68/4725 (/ 1 (pow x 2)))))
(* (pow x 12) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (+ (* 68/4725 (/ 1 (pow x 2))) (* 11/315 (/ 1 (pow x 6))))))
(* 289/99225 (pow x 12))
(* (pow x 12) (- 289/99225 (* 68/4725 (/ 1 (pow x 2)))))
(* (pow x 12) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (* 68/4725 (/ 1 (pow x 2)))))
(* (pow x 12) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (+ (* 68/4725 (/ 1 (pow x 2))) (* 11/315 (/ 1 (pow x 6))))))
(* -68/4725 x)
(* -68/4725 x)
(* -68/4725 x)
(* -68/4725 x)
(* -68/4725 x)
(* -68/4725 x)
(* -68/4725 x)
(* -68/4725 x)
(* -68/4725 x)
(* -68/4725 x)
(* -68/4725 x)
(* -68/4725 x)
(* -4/45 x)
(* x (- (* 254/4725 (pow x 2)) 4/45))
(* x (- (* (pow x 2) (+ 254/4725 (* -68/4725 (pow x 2)))) 4/45))
(* x (- (* (pow x 2) (+ 254/4725 (* -68/4725 (pow x 2)))) 4/45))
(* -68/4725 (pow x 5))
(* (pow x 5) (- (* 254/4725 (/ 1 (pow x 2))) 68/4725))
(* (pow x 5) (- (* 254/4725 (/ 1 (pow x 2))) (+ 68/4725 (/ 4/45 (pow x 4)))))
(* (pow x 5) (- (* 254/4725 (/ 1 (pow x 2))) (+ 68/4725 (/ 4/45 (pow x 4)))))
(* -68/4725 (pow x 5))
(* -1 (* (pow x 5) (- 68/4725 (* 254/4725 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 68/4725 (/ 4/45 (pow x 4))) (* 254/4725 (/ 1 (pow x 2))))))
(* -1 (* (pow x 5) (- (+ 68/4725 (/ 4/45 (pow x 4))) (* 254/4725 (/ 1 (pow x 2))))))
(* 254/4725 (pow x 2))
(* (pow x 2) (+ 254/4725 (* -68/4725 (pow x 2))))
(* (pow x 2) (+ 254/4725 (* -68/4725 (pow x 2))))
(* (pow x 2) (+ 254/4725 (* -68/4725 (pow x 2))))
(* -68/4725 (pow x 4))
(* (pow x 4) (- (* 254/4725 (/ 1 (pow x 2))) 68/4725))
(* (pow x 4) (- (* 254/4725 (/ 1 (pow x 2))) 68/4725))
(* (pow x 4) (- (* 254/4725 (/ 1 (pow x 2))) 68/4725))
(* -68/4725 (pow x 4))
(* (pow x 4) (- (* 254/4725 (/ 1 (pow x 2))) 68/4725))
(* (pow x 4) (- (* 254/4725 (/ 1 (pow x 2))) 68/4725))
(* (pow x 4) (- (* 254/4725 (/ 1 (pow x 2))) 68/4725))
Outputs
x
(* x (+ 1 (* -1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(* x (+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))))
(* 28/17 x)
(*.f64 x #s(literal 28/17 binary64))
(* x (+ 28/17 (* 581/289 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 28/17 binary64) (/.f64 #s(literal 581/289 binary64) (*.f64 x x))))
(* x (- (+ 28/17 (* 581/289 (/ 1 (pow x 2)))) (/ 25578/4913 (pow x 4))))
(*.f64 x (+.f64 (/.f64 #s(literal 581/289 binary64) (*.f64 x x)) (+.f64 #s(literal 28/17 binary64) (/.f64 #s(literal -25578/4913 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* x (+ 28/17 (+ (* -1 (/ (+ 25578/4913 (* 4660341/83521 (/ 1 (pow x 2)))) (pow x 4))) (* 581/289 (/ 1 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 28/17 binary64) (+.f64 (/.f64 #s(literal 581/289 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal -25578/4913 binary64) (/.f64 #s(literal -4660341/83521 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* 28/17 x)
(*.f64 x #s(literal 28/17 binary64))
(* x (+ 28/17 (* 581/289 (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 28/17 binary64) (/.f64 #s(literal 581/289 binary64) (*.f64 x x))))
(* -1 (* x (- (/ 25578/4913 (pow x 4)) (+ 28/17 (* 581/289 (/ 1 (pow x 2)))))))
(*.f64 x (+.f64 (/.f64 #s(literal 581/289 binary64) (*.f64 x x)) (+.f64 #s(literal 28/17 binary64) (/.f64 #s(literal -25578/4913 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* -1 (* x (- (+ (* 4660341/83521 (/ 1 (pow x 6))) (/ 25578/4913 (pow x 4))) (+ 28/17 (* 581/289 (/ 1 (pow x 2)))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 25578/4913 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 4660341/83521 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 #s(literal -28/17 binary64) (/.f64 #s(literal 581/289 binary64) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
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(*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/45 binary64) (*.f64 x (*.f64 x #s(literal -11/315 binary64)))))))
(* (pow x 2) (+ 1/3 (* (pow x 2) (- (* (pow x 2) (- (* 254/4725 (pow x 2)) 11/315)) 1/45))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/45 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -11/315 binary64) (*.f64 (*.f64 x x) #s(literal 254/4725 binary64))))))))))
(* 289/99225 (pow x 12))
(*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 289/99225 binary64))
(* (pow x 12) (- 289/99225 (* 68/4725 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 289/99225 binary64) (/.f64 #s(literal -68/4725 binary64) (*.f64 x x))))
(* (pow x 12) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (* 68/4725 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 #s(literal 289/99225 binary64) (/.f64 #s(literal -68/4725 binary64) (*.f64 x x))) (/.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 12) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (+ (* 68/4725 (/ 1 (pow x 2))) (* 11/315 (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 289/99225 binary64) (+.f64 (/.f64 #s(literal -68/4725 binary64) (*.f64 x x)) (/.f64 #s(literal -11/315 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* 289/99225 (pow x 12))
(*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 289/99225 binary64))
(* (pow x 12) (- 289/99225 (* 68/4725 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 289/99225 binary64) (/.f64 #s(literal -68/4725 binary64) (*.f64 x x))))
(* (pow x 12) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (* 68/4725 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 #s(literal 289/99225 binary64) (/.f64 #s(literal -68/4725 binary64) (*.f64 x x))) (/.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(* (pow x 12) (- (+ 289/99225 (/ 254/4725 (pow x 4))) (+ (* 68/4725 (/ 1 (pow x 2))) (* 11/315 (/ 1 (pow x 6))))))
(*.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (/.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 289/99225 binary64) (+.f64 (/.f64 #s(literal -68/4725 binary64) (*.f64 x x)) (/.f64 #s(literal -11/315 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(* -68/4725 x)
(*.f64 x #s(literal -68/4725 binary64))
(* -68/4725 x)
(*.f64 x #s(literal -68/4725 binary64))
(* -68/4725 x)
(*.f64 x #s(literal -68/4725 binary64))
(* -68/4725 x)
(*.f64 x #s(literal -68/4725 binary64))
(* -68/4725 x)
(*.f64 x #s(literal -68/4725 binary64))
(* -68/4725 x)
(*.f64 x #s(literal -68/4725 binary64))
(* -68/4725 x)
(*.f64 x #s(literal -68/4725 binary64))
(* -68/4725 x)
(*.f64 x #s(literal -68/4725 binary64))
(* -68/4725 x)
(*.f64 x #s(literal -68/4725 binary64))
(* -68/4725 x)
(*.f64 x #s(literal -68/4725 binary64))
(* -68/4725 x)
(*.f64 x #s(literal -68/4725 binary64))
(* -68/4725 x)
(*.f64 x #s(literal -68/4725 binary64))
(* -4/45 x)
(*.f64 x #s(literal -4/45 binary64))
(* x (- (* 254/4725 (pow x 2)) 4/45))
(*.f64 x (+.f64 #s(literal -4/45 binary64) (*.f64 (*.f64 x x) #s(literal 254/4725 binary64))))
(* x (- (* (pow x 2) (+ 254/4725 (* -68/4725 (pow x 2)))) 4/45))
(*.f64 x (+.f64 #s(literal -4/45 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 254/4725 binary64) (*.f64 (*.f64 x x) #s(literal -68/4725 binary64))))))
(* x (- (* (pow x 2) (+ 254/4725 (* -68/4725 (pow x 2)))) 4/45))
(*.f64 x (+.f64 #s(literal -4/45 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 254/4725 binary64) (*.f64 (*.f64 x x) #s(literal -68/4725 binary64))))))
(* -68/4725 (pow x 5))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -68/4725 binary64))
(* (pow x 5) (- (* 254/4725 (/ 1 (pow x 2))) 68/4725))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -68/4725 binary64) (/.f64 #s(literal 254/4725 binary64) (*.f64 x x))))
(* (pow x 5) (- (* 254/4725 (/ 1 (pow x 2))) (+ 68/4725 (/ 4/45 (pow x 4)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -68/4725 binary64) (+.f64 (/.f64 #s(literal 254/4725 binary64) (*.f64 x x)) (/.f64 #s(literal -4/45 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 5) (- (* 254/4725 (/ 1 (pow x 2))) (+ 68/4725 (/ 4/45 (pow x 4)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -68/4725 binary64) (+.f64 (/.f64 #s(literal 254/4725 binary64) (*.f64 x x)) (/.f64 #s(literal -4/45 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* -68/4725 (pow x 5))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -68/4725 binary64))
(* -1 (* (pow x 5) (- 68/4725 (* 254/4725 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -68/4725 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -254/4725 binary64) (*.f64 x x)))))
(* -1 (* (pow x 5) (- (+ 68/4725 (/ 4/45 (pow x 4))) (* 254/4725 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -68/4725 binary64) (+.f64 (/.f64 #s(literal 254/4725 binary64) (*.f64 x x)) (/.f64 #s(literal -4/45 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* -1 (* (pow x 5) (- (+ 68/4725 (/ 4/45 (pow x 4))) (* 254/4725 (/ 1 (pow x 2))))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -68/4725 binary64) (+.f64 (/.f64 #s(literal 254/4725 binary64) (*.f64 x x)) (/.f64 #s(literal -4/45 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* 254/4725 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 254/4725 binary64))
(* (pow x 2) (+ 254/4725 (* -68/4725 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 254/4725 binary64) (*.f64 (*.f64 x x) #s(literal -68/4725 binary64))))
(* (pow x 2) (+ 254/4725 (* -68/4725 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 254/4725 binary64) (*.f64 (*.f64 x x) #s(literal -68/4725 binary64))))
(* (pow x 2) (+ 254/4725 (* -68/4725 (pow x 2))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 254/4725 binary64) (*.f64 (*.f64 x x) #s(literal -68/4725 binary64))))
(* -68/4725 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -68/4725 binary64))))
(* (pow x 4) (- (* 254/4725 (/ 1 (pow x 2))) 68/4725))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -68/4725 binary64) (/.f64 #s(literal 254/4725 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 254/4725 (/ 1 (pow x 2))) 68/4725))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -68/4725 binary64) (/.f64 #s(literal 254/4725 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 254/4725 (/ 1 (pow x 2))) 68/4725))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -68/4725 binary64) (/.f64 #s(literal 254/4725 binary64) (*.f64 x x))))
(* -68/4725 (pow x 4))
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -68/4725 binary64))))
(* (pow x 4) (- (* 254/4725 (/ 1 (pow x 2))) 68/4725))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -68/4725 binary64) (/.f64 #s(literal 254/4725 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 254/4725 (/ 1 (pow x 2))) 68/4725))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -68/4725 binary64) (/.f64 #s(literal 254/4725 binary64) (*.f64 x x))))
(* (pow x 4) (- (* 254/4725 (/ 1 (pow x 2))) 68/4725))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -68/4725 binary64) (/.f64 #s(literal 254/4725 binary64) (*.f64 x x))))

eval481.0ms (3.9%)

Compiler

Compiled 159680 to 4991 computations (96.9% saved)

prune246.0ms (2%)

Pruning

11 alts after pruning (4 fresh and 7 done)

PrunedKeptTotal
New186741871
Fresh101
Picked505
Done279
Total1875111886
Accuracy
100.0%
Counts
1886 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.6%
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -4/45 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) #s(literal -1 binary64)))))))
✓98.4%
(/.f64 (sinh.f64 x) (cosh.f64 x))
✓96.0%
(+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)
✓96.3%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
✓96.6%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
✓96.0%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
96.4%
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) #s(literal 1 binary64)))))))
96.4%
(*.f64 x (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/45 binary64))))))))
96.5%
(*.f64 x (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))))
✓100.0%
(tanh.f64 x)
✓95.7%
x
Compiler

Compiled 1041 to 277 computations (73.4% saved)

regimes29.0ms (0.2%)

Counts
23 → 1
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)
(*.f64 x (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(*.f64 x (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/45 binary64))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (*.f64 x x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (*.f64 x x)))))
(*.f64 x (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) #s(literal 1 binary64)))))))
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) #s(literal 1 binary64)))))))
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) #s(literal 1 binary64)))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -4/45 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) #s(literal -1 binary64)))))))
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -4/45 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))))))) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) #s(literal 1 binary64)))))))
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64)))))))
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) #s(literal 1 binary64)))))))
(tanh.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 x)))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Outputs
(tanh.f64 x)
Calls

2 calls:

19.0ms
x
5.0ms
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
Compiler

Compiled 16 to 8 computations (50% saved)

regimes8.0ms (0.1%)

Counts
18 → 1
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)
(*.f64 x (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(*.f64 x (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/45 binary64))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (*.f64 x x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (*.f64 x x)))))
(*.f64 x (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) #s(literal 1 binary64)))))))
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) #s(literal 1 binary64)))))))
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) #s(literal 1 binary64)))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -4/45 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))) #s(literal -1 binary64)))))))
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -4/45 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 254/4725 binary64) (*.f64 x (*.f64 x #s(literal -68/4725 binary64))))))))) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) #s(literal 1 binary64)))))))
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))) #s(literal 1 binary64)))))))
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) #s(literal 1 binary64)))))))
Outputs
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) #s(literal 1 binary64)))))))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
96.7%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes18.0ms (0.1%)

Counts
13 → 1
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)
(*.f64 x (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 x x))) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(*.f64 x (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) #s(literal -1/45 binary64))))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (*.f64 x x)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (*.f64 x x)))))
(*.f64 x (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) #s(literal 1 binary64)))))))
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))) #s(literal 1 binary64)))))))
Outputs
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
Calls

1 calls:

17.0ms
x
Results
AccuracySegmentsBranch
96.6%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
5 → 1
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)
(*.f64 x (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))
Outputs
(*.f64 x (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
96.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
96.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
96.0%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
95.7%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify31.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
44×*-commutative_binary64
24×+-commutative_binary64
4×unsub-neg_binary64
4×*-lft-identity_binary64
4×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044126
181126
285126
388126
491126
594126
Stop Event
1×saturated
Calls
Call 1
Inputs
(tanh.f64 x)
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) #s(literal 1 binary64)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(*.f64 x (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))))
(+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
x
Outputs
(tanh.f64 x)
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) #s(literal 1 binary64)))))))
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal -4/45 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) #s(literal -1 binary64)))))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(*.f64 x (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))))
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))))
(+.f64 (*.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x x))) x)
(+.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/3 binary64))))
x

soundness2.0s (16.3%)

Rules
5738×*-lowering-*.f32
5738×*-lowering-*.f64
4640×*-lowering-*.f32
4640×*-lowering-*.f64
4518×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03343731
19543587
227773536
083643536
02132682
15952580
217442517
357612515
081672515
022157
1170139
21585133
09102133
02056
112456
2128456
0857356
0126892
1371854
2936826
32503826
44208826
55935826
08095826
0713
11913
23713
36513
413313
533913
680213
7137913
8261813
9318013
10340713
11356913
12368613
0368613
Stop Event
1×fuel
1×iter limit
1×saturated
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 370 to 163 computations (55.9% saved)

preprocess64.0ms (0.5%)

Remove

(negabs x)

Compiler

Compiled 312 to 122 computations (60.9% saved)

end0.0ms (0%)

Profiling

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