Hyperbolic tangent

Time bar (total: 11.6s)

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)

sample3.7s (31.9%)

Results
2.4s7764×1valid
680.0ms7693×0unsamplable
86.0ms492×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.4s
ival-exp: 1.4s (58.1% of total)
ival-sub: 276.0ms (11.7% of total)
ival-div: 236.0ms (10% of total)
ival-add: 201.0ms (8.5% of total)
backward-pass: 144.0ms (6.1% of total)
ival-neg: 118.0ms (5% of total)
const: 15.0ms (0.6% of total)
Bogosity

preprocess188.0ms (1.6%)

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
5178639
6540039
7581639
8590839
9598539
10605539
11611139
12613539
0713
11913
23713
36513
413313
534013
680313
7138013
8261813
9318213
10341013
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)

explain221.0ms (1.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2490-0-(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
10-0-(/.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
165.0ms466×1valid
5.0ms46×0valid
Compiler

Compiled 84 to 23 computations (72.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 113.0ms
ival-exp: 66.0ms (58.6% of total)
ival-add: 16.0ms (14.2% of total)
backward-pass: 12.0ms (10.7% of total)
ival-div: 7.0ms (6.2% of total)
ival-sub: 6.0ms (5.3% of total)
ival-neg: 5.0ms (4.4% of total)
const: 1.0ms (0.9% 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
▶12.6%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
▶12.9%
(+.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)

simplify89.0ms (0.8%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(exp.f64 (neg.f64 x))
✓cost-diff0
(exp.f64 x)
✓cost-diff0
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓cost-diff12544
(/.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
14290
27190
310890
418890
540190
696790
7150090
8291290
9363790
10394788
11417988
12425588
0425588
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))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(neg x)
(-.f64 #s(literal 0 binary64) x)
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (/.f64 #s(literal 1 binary64) (exp.f64 x)))

localize220.0ms (1.9%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(exp.f64 x)
✓accuracy100.0%
(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
✓accuracy99.6%
(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
✓accuracy13.0%
(-.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) (+.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)))))
✓accuracy13.0%
(+.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))))))
Results
180.0ms240×1valid
4.0ms16×0valid
Compiler

Compiled 99 to 21 computations (78.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 112.0ms
ival-exp: 62.0ms (55.3% of total)
backward-pass: 13.0ms (11.6% of total)
ival-div: 11.0ms (9.8% of total)
ival-add: 8.0ms (7.1% of total)
ival-mult: 7.0ms (6.2% of total)
ival-sub: 6.0ms (5.4% of total)
ival-neg: 3.0ms (2.7% of total)
const: 1.0ms (0.9% of total)

series10.0ms (0.1%)

Counts
11 → 132
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) (exp (neg x)))>
#<alt (exp x)>
#<alt (exp (neg x))>
#<alt (/ 1 (- -1 (exp (* x 2))))>
#<alt (- -1 (exp (* x 2)))>
#<alt (+ (exp x) (exp (neg x)))>
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 (* 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 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 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))))>
#<alt 2>
#<alt (+ 2 (pow x 2))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))>
#<alt (+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (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)))>
Calls

33 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(+ (/ 1 (+ 1 (exp (* x -2)))) (/ 1 (- -1 (exp (* x 2)))))
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))))

rewrite263.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
2818×/-lowering-/.f32
2818×/-lowering-/.f64
2314×*-lowering-*.f32
2314×*-lowering-*.f64
1140×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02060
17257
237157
3178757
0868157
Stop Event
1×iter limit
1×node limit
Counts
11 → 734
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 (neg x)))
(exp x)
(exp (neg x))
(/ 1 (- -1 (exp (* x 2))))
(- -1 (exp (* x 2)))
(+ (exp x) (exp (neg x)))
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 (/.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)))))))
(+.f64 (-.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 (/.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)))))))
(+.f64 (-.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)))))))
(+.f64 (-.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)))))))
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(/.f64 (neg.f64 (*.f64 (/.f64 (cosh.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))
(pow.f64 (/.f64 (cosh.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 x) #s(literal 1/2 binary64)))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (cosh.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (cosh.f64 x)))
(*.f64 #s(literal 2 binary64) (cosh.f64 x))
(*.f64 (/.f64 (cosh.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (cosh.f64 x) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 x)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (/.f64 (cosh.f64 x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))

simplify207.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
2522×sum4-define
2230×*-lowering-*.f32
2230×*-lowering-*.f64
2138×+-lowering-+.f64
2138×+-lowering-+.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0139978
1410905
21079859
33007859
44837859
56592859
08061859
Stop Event
1×iter limit
1×node limit
Counts
132 → 132
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))))
(* 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 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)
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))))
2
(+ 2 (pow x 2))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (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)))
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 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 (*.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 x (*.f64 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 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 (*.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) (exp.f64 (-.f64 #s(literal 0 binary64) 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) (exp.f64 (-.f64 #s(literal 0 binary64) 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) (exp.f64 (-.f64 #s(literal 0 binary64) 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) (exp.f64 (-.f64 #s(literal 0 binary64) 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) (exp.f64 (-.f64 #s(literal 0 binary64) 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) (exp.f64 (-.f64 #s(literal 0 binary64) 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) (exp.f64 (-.f64 #s(literal 0 binary64) 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) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (* 1/3 (pow x 2))))
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x 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 (*.f64 x 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 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)
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 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (neg x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) 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 x (*.f64 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))))
2
#s(literal 2 binary64)
(+ 2 (pow x 2))
(+.f64 #s(literal 2 binary64) (*.f64 x x))
(+ 2 (* (pow x 2) (+ 1 (* 1/12 (pow x 2)))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/12 binary64)))))
(+ 2 (* (pow x 2) (+ 1 (* (pow x 2) (+ 1/12 (* 1/360 (pow x 2)))))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/360 binary64)))))))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp x) (exp (neg x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp x) (exp (* -1 x)))
(+.f64 (exp.f64 x) (exp.f64 (-.f64 #s(literal 0 binary64) x)))

eval166.0ms (1.4%)

Compiler

Compiled 19269 to 2218 computations (88.5% saved)

prune158.0ms (1.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New9147921
Fresh000
Picked202
Done000
Total9167923
Accuracy
100.0%
Counts
923 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(/.f64 (sinh.f64 x) (cosh.f64 x))
99.5%
(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
▶97.8%
(*.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))))))))
▶97.8%
(*.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)))))))
▶97.5%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
▶100.0%
(tanh.f64 x)
▶96.5%
x
Compiler

Compiled 142 to 92 computations (35.2% saved)

simplify313.0ms (2.7%)

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 x (*.f64 x #s(literal 2/15 binary64)))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 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 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 #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
2328×fma-lowering-fma.f32
2328×fma-lowering-fma.f64
2070×fma-define
2028×sum4-define
1508×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023164
1101144
2332141
3923141
41808141
52523141
62828141
73675141
86175141
08030141
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))
(* 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 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))))
x
(+ 1 (* (* x x) (+ -1/3 (* x (* x 2/15)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))))
1
#s(literal 1 binary64)
(* (* x x) (+ -1/3 (* x (* x 2/15))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64)))))
(* x x)
(*.f64 x x)
(+ -1/3 (* x (* x 2/15)))
(+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))
-1/3
#s(literal -1/3 binary64)
(* x (* x 2/15))
(*.f64 x (*.f64 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 (* (* 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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 (*.f64 x 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)

localize197.0ms (1.7%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(+.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 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 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))
✓accuracy99.9%
(*.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 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))
✓accuracy100.0%
(*.f64 x (+.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
137.0ms256×0valid
Compiler

Compiled 195 to 24 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
...c/correct-round.rkt:119:19: 34.0ms (55.7% of total)
ival-mult: 18.0ms (29.5% of total)
ival-add: 7.0ms (11.5% of total)
ival-tanh: 2.0ms (3.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series13.0ms (0.1%)

Counts
17 → 204
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 (* 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 (+ -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 (* -1/3 (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 (* 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 -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 -1/3>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)>
#<alt (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)>
#<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 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<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 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
Calls

51 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))))

rewrite504.0ms (4.3%)

Algorithm
1×batch-egg-rewrite
Rules
3986×*-lowering-*.f32
3986×*-lowering-*.f64
2470×/-lowering-/.f32
2470×/-lowering-/.f64
1508×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023140
1102121
2358118
31141118
43328118
08886118
Stop Event
1×iter limit
1×node limit
Counts
17 → 1042
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))
(* x 2/15)
(+ -1/3 (* x (* x 2/15)))
(* (* x x) -17/315)
(* (* x x) (+ 2/15 (* (* x x) -17/315)))
(+ -1/3 (* (* x x) (+ 2/15 (* (* x x) -17/315))))
Outputs
(+.f64 (tanh.f64 x) (+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))))
(+.f64 (tanh.f64 x) (+.f64 (*.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)))))))
(+.f64 (tanh.f64 x) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal -2 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 (tanh.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))))
(+.f64 (tanh.f64 x) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (cosh.f64 x))) (/.f64 (/.f64 #s(literal -1 binary64) (exp.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 (tanh.f64 x) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))))
(+.f64 (tanh.f64 x) (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)))))))
(+.f64 (tanh.f64 x) (fma.f64 (-.f64 #s(literal 0 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 (exp.f64 (*.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64)))))))
(+.f64 (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))))
(+.f64 (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) (exp.f64 x))))
(+.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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (*.f64 #s(literal 1 binary64) (/.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) (+.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 0 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 (/.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 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) (/.f64 (exp.f64 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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal -2 binary64))))) (-.f64 #s(literal 0 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 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))
(+.f64 (*.f64 (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) (exp.f64 x))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) (exp.f64 x)) (*.f64 (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (cosh.f64 x)) #s(literal 1/2 binary64)))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (cosh.f64 x))) #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (cosh.f64 x)) #s(literal 1/2 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 0 binary64) (cosh.f64 x))) #s(literal -1/2 binary64)))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 0 binary64) (cosh.f64 x)))) #s(literal -1/2 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 0 binary64) (cosh.f64 x))) #s(literal -1/2 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))) (fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))))
(+.f64 (fma.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) (exp.f64 x))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) (exp.f64 x)) (*.f64 (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))))
(+.f64 (fma.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -1 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 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))))
(+.f64 (fma.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (cosh.f64 x)) #s(literal 1/2 binary64)))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (cosh.f64 x))) #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (cosh.f64 x)) #s(literal 1/2 binary64))))
(+.f64 (fma.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 0 binary64) (cosh.f64 x))) #s(literal -1/2 binary64)))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 0 binary64) (cosh.f64 x)))) #s(literal -1/2 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 0 binary64) (cosh.f64 x))) #s(literal -1/2 binary64))))
(+.f64 (fma.f64 (exp.f64 x) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x)))))) (fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (cosh.f64 x))))))
(+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (exp.f64 x) (neg.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) (exp.f64 x))))) (fma.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) (exp.f64 x)) (*.f64 (/.f64 #s(literal -1/2 binary64) (cosh.f64 x)) (/.f64 #s(literal -1 binary64) (exp.f64 x)))))
(+.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (exp.f64 x) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -1 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 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))))
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(+.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) #s(literal -1/3 binary64))
(+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))
(+.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(+.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(fma.f64 x (*.f64 x #s(literal 2/15 binary64)) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))
(fma.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) #s(literal -1/3 binary64))
(fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))) #s(literal -1/3 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))
(fma.f64 (*.f64 x x) #s(literal 2/15 binary64) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))
(fma.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) #s(literal -1/3 binary64))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))
(fma.f64 (*.f64 x #s(literal 2/15 binary64)) x (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))
(fma.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))
(fma.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x x) #s(literal -1/3 binary64))
(fma.f64 (*.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 -1/3 binary64))
(fma.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) #s(literal 1 binary64) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))
(fma.f64 (*.f64 x #s(literal -17/315 binary64)) (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))
(fma.f64 (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) x #s(literal -1/3 binary64))
(fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) x (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal -17/315 binary64)) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -17/315 binary64) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))
(*.f64 #s(literal 1 binary64) (+.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 -1/3 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) #s(literal 1 binary64))

simplify464.0ms (4%)

Algorithm
1×egg-herbie
Rules
3184×*-lowering-*.f32
3184×*-lowering-*.f64
1878×+-lowering-+.f64
1878×+-lowering-+.f32
1724×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0951686
12581436
27461398
324771370
080641370
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
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))
(* 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)
-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))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(* -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 (/ 1/3 (pow x 4)))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -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 (/ 1/3 (pow x 4)))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
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) (exp.f64 (-.f64 #s(literal 0 binary64) 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) (exp.f64 (-.f64 #s(literal 0 binary64) 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) (exp.f64 (-.f64 #s(literal 0 binary64) 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) (exp.f64 (-.f64 #s(literal 0 binary64) 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) (exp.f64 (-.f64 #s(literal 0 binary64) 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) (exp.f64 (-.f64 #s(literal 0 binary64) 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) (exp.f64 (-.f64 #s(literal 0 binary64) 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) (exp.f64 (-.f64 #s(literal 0 binary64) 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 x (*.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)))))
(* (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 x (*.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 (* (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)))
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(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* -17/315 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(* 2/15 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2/15 binary64)))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(* (pow x 2) (+ 2/15 (* -17/315 (pow x 2))))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(* -17/315 (pow x 4))
(*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(* -17/315 (pow x 4))
(*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.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)
(- (* 2/15 (pow x 2)) 1/3)
(+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x #s(literal 2/15 binary64))))
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(+.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))))))
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(+.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))))))
(* -17/315 (pow x 4))
(*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(+.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(+.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* -17/315 (pow x 4))
(*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(+.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(+.f64 (*.f64 x (*.f64 x #s(literal 2/15 binary64))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))

eval196.0ms (1.7%)

Compiler

Compiled 31618 to 3261 computations (89.7% saved)

prune188.0ms (1.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New131571322
Fresh022
Picked325
Done000
Total1318111329
Accuracy
100.0%
Counts
1329 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.5%
(/.f64 (sinh.f64 x) (cosh.f64 x))
99.5%
(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
▶97.9%
(+.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x))) x)
▶97.8%
(+.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 x))) x)
▶97.5%
(+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) x)
▶97.8%
(*.f64 x (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
97.8%
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
97.8%
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
6.4%
(*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
✓100.0%
(tanh.f64 x)
✓96.5%
x
Compiler

Compiled 321 to 193 computations (39.9% saved)

simplify292.0ms (2.5%)

Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
✓cost-diff0
(*.f64 x (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
✓cost-diff256
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))
✓cost-diff512
(+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))
✓cost-diff0
(*.f64 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
✓cost-diff0
(+.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))))))
✓cost-diff0
(*.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 x)))
✓cost-diff0
(+.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 x))) x)
✓cost-diff0
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
✓cost-diff0
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
✓cost-diff0
(*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x)))
✓cost-diff0
(+.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x))) x)
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 x (*.f64 x x))
✓cost-diff0
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
✓cost-diff0
(+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) x)
✓cost-diff0
(cosh.f64 x)
✓cost-diff0
(sinh.f64 x)
✓cost-diff0
(/.f64 (sinh.f64 x) (cosh.f64 x))
Rules
2610×fma-lowering-fma.f32
2610×fma-lowering-fma.f64
2418×*-lowering-*.f32
2418×*-lowering-*.f64
2076×fma-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
034261
1111243
2313227
3851223
41693222
52358222
63162222
76206222
08031222
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (sinh x) (cosh x))
(sinh x)
x
(cosh x)
(+ (* -1/3 (* x (* x x))) x)
(* -1/3 (* x (* x x)))
-1/3
(* x (* x x))
x
(* x x)
(+ (* (+ -1/3 (* (* x x) 2/15)) (* x (* x x))) x)
(* (+ -1/3 (* (* x x) 2/15)) (* x (* x x)))
(+ -1/3 (* (* x x) 2/15))
-1/3
(* (* x x) 2/15)
(* x x)
x
2/15
(* x (* x x))
(+ (* (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315))))) (* x (* x x))) x)
(* (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315))))) (* x (* x x)))
(+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315)))))
-1/3
(* x (* x (+ 2/15 (* (* x x) -17/315))))
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 (* x x))
(* x (+ (+ (+ 1 (* x (* x -1/3))) (* x (* (* x x) (* x (* (* x x) -17/315))))) (* x (* x (* (* x x) 2/15)))))
x
(+ (+ (+ 1 (* x (* x -1/3))) (* x (* (* x x) (* x (* (* x x) -17/315))))) (* x (* x (* (* x x) 2/15))))
(+ (+ 1 (* x (* x -1/3))) (* x (* (* x x) (* x (* (* x x) -17/315)))))
(+ 1 (* x (* x -1/3)))
1
(* x (* x -1/3))
(* x -1/3)
-1/3
(* x (* (* x x) (* x (* (* x x) -17/315))))
(* (* x x) (* x (* (* x x) -17/315)))
(* x x)
(* x (* (* x x) -17/315))
(* (* x x) -17/315)
-17/315
(* x (* x (* (* x x) 2/15)))
(* x (* (* x x) 2/15))
(* (* x x) 2/15)
2/15
Outputs
(/ (sinh x) (cosh x))
(/.f64 (sinh.f64 x) (cosh.f64 x))
(sinh x)
(sinh.f64 x)
x
(cosh x)
(cosh.f64 x)
(+ (* -1/3 (* x (* x x))) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* -1/3 (* x (* x x)))
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
-1/3
#s(literal -1/3 binary64)
(* x (* x x))
(*.f64 x (*.f64 x x))
x
(* x x)
(*.f64 x x)
(+ (* (+ -1/3 (* (* x x) 2/15)) (* x (* x x))) x)
(*.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))))))
(* (+ -1/3 (* (* x x) 2/15)) (* x (* x x)))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))
(+ -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 x)
(*.f64 x x)
x
2/15
#s(literal 2/15 binary64)
(* x (* x x))
(*.f64 x (*.f64 x x))
(+ (* (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315))))) (* x (* x x))) x)
(*.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))))))))))
(* (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315))))) (* x (* x x)))
(*.f64 (*.f64 x 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))))))))
(+ -1/3 (* 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)))))
x
(* 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))
(* x x)
(*.f64 x x)
-17/315
#s(literal -17/315 binary64)
(* x (* x x))
(*.f64 x (*.f64 x x))
(* x (+ (+ (+ 1 (* x (* x -1/3))) (* x (* (* x x) (* x (* (* x x) -17/315))))) (* x (* x (* (* x x) 2/15)))))
(*.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 x) (* x (* (* x x) -17/315))))) (* x (* x (* (* x x) 2/15))))
(+.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 (* x (* x -1/3))) (* x (* (* x x) (* x (* (* x x) -17/315)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))))
(+ 1 (* x (* x -1/3)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))
1
#s(literal 1 binary64)
(* x (* x -1/3))
(*.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* x -1/3)
(*.f64 x #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
(* x (* (* x x) (* x (* (* x x) -17/315))))
(*.f64 (*.f64 x x) (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(* (* x x) (* x (* (* x x) -17/315)))
(*.f64 x (*.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(* x x)
(*.f64 x x)
(* x (* (* x x) -17/315))
(*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))
(* (* x x) -17/315)
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
-17/315
#s(literal -17/315 binary64)
(* x (* x (* (* x x) 2/15)))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* x (* (* x x) 2/15))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* (* x x) 2/15)
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
2/15
#s(literal 2/15 binary64)

localize323.0ms (2.8%)

Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 x (*.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) #s(literal -17/315 binary64))
✓accuracy99.5%
(*.f64 x #s(literal -1/3 binary64))
✓accuracy99.8%
(*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
✓accuracy99.8%
(*.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 x)))
✓accuracy99.8%
(*.f64 x (*.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))
✓accuracy100.0%
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
✓accuracy99.9%
(*.f64 x (*.f64 x x))
✓accuracy99.8%
(*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x)))
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) x)
✓accuracy99.9%
(*.f64 x (*.f64 x x))
✓accuracy99.8%
(*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x)))
✓accuracy100.0%
(cosh.f64 x)
✓accuracy100.0%
(sinh.f64 x)
✓accuracy99.6%
(/.f64 (sinh.f64 x) (cosh.f64 x))
Results
225.0ms256×0valid
Compiler

Compiled 351 to 35 computations (90% saved)

Precisions
Click to see histograms. Total time spent on operations: 105.0ms
ival-add: 59.0ms (56.3% of total)
ival-mult: 27.0ms (25.7% of total)
...c/correct-round.rkt:119:19: 12.0ms (11.4% of total)
ival-cosh: 3.0ms (2.9% of total)
ival-div: 2.0ms (1.9% of total)
ival-sinh: 2.0ms (1.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series18.0ms (0.2%)

Counts
23 → 276
Calls
Call 1
Inputs
#<alt (/ (sinh x) (cosh x))>
#<alt (sinh x)>
#<alt (cosh x)>
#<alt (+ (* -1/3 (* x (* x x))) x)>
#<alt (* -1/3 (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (* x x)>
#<alt (+ (* (+ -1/3 (* (* x x) 2/15)) (* x (* x x))) x)>
#<alt (* (+ -1/3 (* (* x x) 2/15)) (* x (* x x)))>
#<alt (+ -1/3 (* (* x x) 2/15))>
#<alt (* (* x x) 2/15)>
#<alt (+ (* (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315))))) (* x (* x x))) x)>
#<alt (* (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315))))) (* x (* x x)))>
#<alt (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315)))))>
#<alt (* x (* x (+ 2/15 (* (* x x) -17/315))))>
#<alt (+ (+ (+ 1 (* x (* x -1/3))) (* x (* (* x x) (* x (* (* x x) -17/315))))) (* x (* x (* (* x x) 2/15))))>
#<alt (+ (+ 1 (* x (* x -1/3))) (* x (* (* x x) (* x (* (* x x) -17/315)))))>
#<alt (* x (+ (+ (+ 1 (* x (* x -1/3))) (* x (* (* x x) (* x (* (* x x) -17/315))))) (* x (* x (* (* x x) 2/15)))))>
#<alt (+ 1 (* x (* x -1/3)))>
#<alt (* (* x x) -17/315)>
#<alt (* x (+ 2/15 (* (* x x) -17/315)))>
#<alt (* x -1/3)>
#<alt (* x (* (* x x) 2/15))>
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 (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 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 (* -1/3 (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>
#<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 (* 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 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 (* -1/3 (pow x 3))>
#<alt (* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))>
#<alt (* (pow x 3) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))>
#<alt (* (pow x 3) (- (* (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))) (+ 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))))))>
#<alt -1/3>
#<alt (- (* 2/15 (pow x 2)) 1/3)>
#<alt (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)>
#<alt (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)>
#<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 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))>
#<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 (/ 1/3 (pow x 4)))))>
#<alt (* (pow x 4) (- (* 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>
#<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 (* (pow x 2) (- (* -17/315 (pow x 4)) 1/3)))>
#<alt (+ 1 (* (pow x 2) (- (* -17/315 (pow x 4)) 1/3)))>
#<alt (* -17/315 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 17/315 (* 1/3 (/ 1 (pow x 4))))))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 17/315 (* 1/3 (/ 1 (pow x 4))))))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 17/315 (* 1/3 (/ 1 (pow x 4))))))>
#<alt (* -17/315 (pow x 6))>
#<alt (* -1 (* (pow x 6) (+ 17/315 (* 1/3 (/ 1 (pow x 4))))))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 17/315 (* 1/3 (/ 1 (pow x 4))))))>
#<alt (* (pow x 6) (- (/ 1 (pow x 6)) (+ 17/315 (* 1/3 (/ 1 (pow x 4))))))>
#<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 (* -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 (* -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 (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* 2/15 (pow x 3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* 2/15 (pow x 3))>
Calls

69 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(/ (sinh x) (cosh x))
3.0ms
x
@-inf
(/ (sinh x) (cosh x))
0.0ms
x
@inf
(+ (* -1/3 (* x (* x x))) x)
0.0ms
x
@-inf
(* x (* x x))
0.0ms
x
@inf
(+ (+ 1 (* x (* x -1/3))) (* x (* (* x x) (* x (* (* x x) -17/315)))))

rewrite323.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
3198×*-lowering-*.f32
3198×*-lowering-*.f64
2202×fma-lowering-fma.f32
2202×fma-lowering-fma.f64
1970×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034187
1119170
2389159
31435155
46586155
08085155
Stop Event
1×iter limit
1×node limit
Counts
23 → 867
Calls
Call 1
Inputs
(/ (sinh x) (cosh x))
(sinh x)
(cosh x)
(+ (* -1/3 (* x (* x x))) x)
(* -1/3 (* x (* x x)))
(* x (* x x))
(* x x)
(+ (* (+ -1/3 (* (* x x) 2/15)) (* x (* x x))) x)
(* (+ -1/3 (* (* x x) 2/15)) (* x (* x x)))
(+ -1/3 (* (* x x) 2/15))
(* (* x x) 2/15)
(+ (* (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315))))) (* x (* x x))) x)
(* (+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315))))) (* x (* x x)))
(+ -1/3 (* x (* x (+ 2/15 (* (* x x) -17/315)))))
(* x (* x (+ 2/15 (* (* x x) -17/315))))
(+ (+ (+ 1 (* x (* x -1/3))) (* x (* (* x x) (* x (* (* x x) -17/315))))) (* x (* x (* (* x x) 2/15))))
(+ (+ 1 (* x (* x -1/3))) (* x (* (* x x) (* x (* (* x x) -17/315)))))
(* x (+ (+ (+ 1 (* x (* x -1/3))) (* x (* (* x x) (* x (* (* x x) -17/315))))) (* x (* x (* (* x x) 2/15)))))
(+ 1 (* x (* x -1/3)))
(* (* x x) -17/315)
(* x (+ 2/15 (* (* x x) -17/315)))
(* x -1/3)
(* x (* (* x x) 2/15))
Outputs
(+.f64 (tanh.f64 x) (fma.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 (cosh.f64 x) #s(literal -2 binary64))) #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (cosh.f64 x))))
(+.f64 (tanh.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) (cosh.f64 x)) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (cosh.f64 x))))
(+.f64 (tanh.f64 x) (fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) (/.f64 #s(literal 1 binary64) (cosh.f64 x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (cosh.f64 x))))
(+.f64 (tanh.f64 x) (fma.f64 (neg.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (cosh.f64 x))) #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (cosh.f64 x))))
(+.f64 (tanh.f64 x) (fma.f64 (neg.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (cosh.f64 x))))
(+.f64 (tanh.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (cosh.f64 x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (cosh.f64 x))))
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(fma.f64 (+.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 (*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))
(fma.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)))))) x x)
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -17/315 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)))))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x 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 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -17/315 binary64))))))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x #s(literal -17/315 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)))))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 2/15 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -17/315 binary64))))))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) #s(literal -17/315 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)))))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -17/315 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 (*.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 #s(literal 1 binary64) (+.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 (*.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)))))))) #s(literal 1 binary64))
(*.f64 #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) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))))
(*.f64 (+.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))))))) x)
(*.f64 (*.f64 (+.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))))))) #s(literal 1 binary64)) x)
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(+.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/3 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) x #s(literal 1 binary64))
(*.f64 x (*.f64 x #s(literal -17/315 binary64)))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(*.f64 #s(literal -17/315 binary64) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))
(*.f64 (*.f64 x #s(literal -17/315 binary64)) x)
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -17/315 binary64)) (*.f64 x #s(literal 2/15 binary64)))
(+.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -17/315 binary64)))
(fma.f64 x #s(literal 2/15 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -17/315 binary64)))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) (*.f64 x #s(literal 2/15 binary64)))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -17/315 binary64)) (*.f64 x #s(literal 2/15 binary64)))
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -17/315 binary64) (*.f64 x #s(literal 2/15 binary64)))
(fma.f64 #s(literal 2/15 binary64) x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -17/315 binary64)))
(fma.f64 #s(literal -17/315 binary64) (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 2/15 binary64)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) x (*.f64 x #s(literal 2/15 binary64)))
(fma.f64 (*.f64 x #s(literal -17/315 binary64)) (*.f64 x x) (*.f64 x #s(literal 2/15 binary64)))
(*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(*.f64 x (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) x)
(*.f64 (*.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 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))
(*.f64 (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) #s(literal 1 binary64)) x)
(*.f64 x #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) x)
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
(*.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1 binary64))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(*.f64 (*.f64 x x) (*.f64 x #s(literal 2/15 binary64)))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 2/15 binary64))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 (*.f64 x x) #s(literal 2/15 binary64)) x)
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))
(*.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 x x))

simplify346.0ms (3%)

Algorithm
1×egg-herbie
Rules
4506×*-lowering-*.f32
4506×*-lowering-*.f64
2630×+-lowering-+.f64
2630×+-lowering-+.f32
1734×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01452258
14282004
213241936
343131910
093831910
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
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))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
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))))))
(* -1/3 (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
(- (* 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)))))
(* 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))
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))))))
(* -1/3 (pow x 3))
(* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))
(* (pow x 3) (- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3))
(* (pow x 3) (- (* (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))) (+ 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))))))
-1/3
(- (* 2/15 (pow x 2)) 1/3)
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(- (* (pow x 2) (+ 2/15 (* -17/315 (pow x 2)))) 1/3)
(* -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 (/ 1/3 (pow x 4)))))
(* (pow x 4) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(* -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 (/ 1/3 (pow x 4)))))
(* (pow x 4) (- (* 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
(+ 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 (* (pow x 2) (- (* -17/315 (pow x 4)) 1/3)))
(+ 1 (* (pow x 2) (- (* -17/315 (pow x 4)) 1/3)))
(* -17/315 (pow x 6))
(* -1 (* (pow x 6) (+ 17/315 (* 1/3 (/ 1 (pow x 4))))))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 17/315 (* 1/3 (/ 1 (pow x 4))))))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 17/315 (* 1/3 (/ 1 (pow x 4))))))
(* -17/315 (pow x 6))
(* -1 (* (pow x 6) (+ 17/315 (* 1/3 (/ 1 (pow x 4))))))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 17/315 (* 1/3 (/ 1 (pow x 4))))))
(* (pow x 6) (- (/ 1 (pow x 6)) (+ 17/315 (* 1/3 (/ 1 (pow x 4))))))
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 (* -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))
(* -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))))))
(* -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)
(* 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))
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 (*.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 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 (* 1/6 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 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 x (*.f64 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 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 x (*.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)))))
(* (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 x (*.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 (* (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)))))
(* -1/3 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* -1/3 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
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 (*.f64 x 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 (*.f64 x 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))))))
(* -1/3 (pow x 3))
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))
(*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))
(*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- (* 2/15 (pow x 2)) 1/3))
(*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x)))
(* 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 (* 1/3 (/ 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 (* 1/3 (/ 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))))
(* 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)))
(*.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)))
(*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
-1/3
#s(literal -1/3 binary64)
(- (* 2/15 (pow x 2)) 1/3)
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(- (* 2/15 (pow x 2)) 1/3)
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(- (* 2/15 (pow x 2)) 1/3)
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* (pow x 2) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
(* 2/15 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
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 (*.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 x (*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))))))
(* -17/315 (pow x 7))
(*.f64 #s(literal -17/315 binary64) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) 17/315))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 2/15 binary64) (*.f64 x x))))
(* (pow x 7) (- (* 2/15 (/ 1 (pow x 2))) (+ 17/315 (/ 1/3 (pow x 4)))))
(*.f64 (pow.f64 x #s(literal 7 binary64)) (+.f64 (/.f64 #s(literal 2/15 binary64) (*.f64 x x)) (-.f64 #s(literal -17/315 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(* (pow x 7) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) (+ 17/315 (/ 1/3 (pow x 4)))))
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(* -17/315 (pow x 7))
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(*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(* -1 (* (pow x 3) (- 17/315 (* 2/15 (/ 1 (pow x 2))))))
(*.f64 x (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* 2/15 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* 2/15 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* 2/15 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* 2/15 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* 2/15 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* 2/15 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* 2/15 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* 2/15 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* 2/15 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* 2/15 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* 2/15 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
(* 2/15 (pow x 3))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))

eval226.0ms (1.9%)

Compiler

Compiled 29817 to 2279 computations (92.4% saved)

prune134.0ms (1.2%)

Pruning

11 alts after pruning (4 fresh and 7 done)

PrunedKeptTotal
New135001350
Fresh044
Picked055
Done022
Total1350111361
Accuracy
100.0%
Counts
1361 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.5%
(/.f64 (sinh.f64 x) (cosh.f64 x))
▶99.5%
(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
✓97.9%
(+.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x))) x)
✓97.8%
(+.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 x))) x)
✓97.5%
(+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) x)
✓97.8%
(*.f64 x (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
▶97.8%
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
▶97.8%
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
▶6.4%
(*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
✓100.0%
(tanh.f64 x)
✓96.5%
x
Compiler

Compiled 163 to 98 computations (39.9% saved)

simplify147.0ms (1.3%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))
✓cost-diff0
(*.f64 x #s(literal 2 binary64))
✓cost-diff0
(expm1.f64 (*.f64 x #s(literal 2 binary64)))
✓cost-diff0
(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
✓cost-diff0
(*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x)))))
✓cost-diff0
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
✓cost-diff256
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
✓cost-diff0
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
✓cost-diff0
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
✓cost-diff256
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))))
✓cost-diff0
(*.f64 x (*.f64 x x))
✓cost-diff0
(*.f64 x (*.f64 x (*.f64 x x)))
✓cost-diff0
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
✓cost-diff0
(*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
Rules
2372×fma-define
2088×fma-lowering-fma.f32
2088×fma-lowering-fma.f64
852×sum3-define
830×fnmadd-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
030218
196184
2250179
3634175
41540174
52359174
62509174
72616174
82917174
93760174
104325174
115004174
125016174
135016174
05016174
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* x (* 2/15 (* x (* x (* x x)))))
x
(* 2/15 (* x (* x (* x x))))
2/15
(* x (* x (* x x)))
(* x (* x x))
(* x x)
(* x (+ (+ 1 (* x (* x -1/3))) (* x (* x (* (* x x) 2/15)))))
x
(+ (+ 1 (* x (* x -1/3))) (* x (* x (* (* x x) 2/15))))
(+ 1 (* x (* x -1/3)))
1
(* x (* x -1/3))
(* x -1/3)
-1/3
(* x (* x (* (* x x) 2/15)))
(* x (* (* x x) 2/15))
(* (* x x) 2/15)
(* x x)
2/15
(* x (+ (+ 1 (* (+ 2/15 (* (* x x) -17/315)) (* x (* x (* x x))))) (* x (* x -1/3))))
x
(+ (+ 1 (* (+ 2/15 (* (* x x) -17/315)) (* x (* x (* x x))))) (* x (* x -1/3)))
(+ 1 (* (+ 2/15 (* (* x x) -17/315)) (* x (* x (* x x)))))
1
(* (+ 2/15 (* (* x x) -17/315)) (* x (* x (* x x))))
(+ 2/15 (* (* x x) -17/315))
2/15
(* (* x x) -17/315)
(* x x)
-17/315
(* x (* x (* x x)))
(* x (* x x))
(* x (* x -1/3))
(* x -1/3)
-1/3
(/ (- (exp (* x 2)) 1) (+ 1 (exp (* x 2))))
(- (exp (* x 2)) 1)
(* x 2)
x
2
(+ 1 (exp (* x 2)))
1
(exp (* x 2))
Outputs
(* x (* 2/15 (* x (* x (* x x)))))
(*.f64 x (*.f64 x (*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x x)))))
x
(* 2/15 (* x (* x (* x x))))
(*.f64 x (*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x x))))
2/15
#s(literal 2/15 binary64)
(* x (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x x)))
(* x (* x x))
(*.f64 x (*.f64 x x))
(* x x)
(*.f64 x x)
(* x (+ (+ 1 (* x (* x -1/3))) (* x (* x (* (* x x) 2/15)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x x))))))
x
(+ (+ 1 (* x (* x -1/3))) (* x (* x (* (* x x) 2/15))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x x)))))
(+ 1 (* x (* x -1/3)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
1
#s(literal 1 binary64)
(* x (* x -1/3))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* x -1/3)
(*.f64 x #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
(* x (* x (* (* x x) 2/15)))
(*.f64 x (*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x x))))
(* x (* (* x x) 2/15))
(*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x x)))
(* (* x x) 2/15)
(*.f64 #s(literal 2/15 binary64) (*.f64 x x))
(* x x)
(*.f64 x x)
2/15
#s(literal 2/15 binary64)
(* x (+ (+ 1 (* (+ 2/15 (* (* x x) -17/315)) (* x (* x (* x x))))) (* x (* x -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))))))))
x
(+ (+ 1 (* (+ 2/15 (* (* x x) -17/315)) (* x (* x (* x x))))) (* x (* x -1/3)))
(+.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 (* (+ 2/15 (* (* x x) -17/315)) (* x (* x (* x x)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))
1
#s(literal 1 binary64)
(* (+ 2/15 (* (* x x) -17/315)) (* x (* x (* x x))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x 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))
(* x x)
(*.f64 x x)
-17/315
#s(literal -17/315 binary64)
(* x (* x (* x x)))
(*.f64 x (*.f64 x (*.f64 x x)))
(* x (* x x))
(*.f64 x (*.f64 x x))
(* x (* x -1/3))
(*.f64 x (*.f64 x #s(literal -1/3 binary64)))
(* x -1/3)
(*.f64 x #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
(/ (- (exp (* x 2)) 1) (+ 1 (exp (* x 2))))
(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
(- (exp (* x 2)) 1)
(expm1.f64 (*.f64 x #s(literal 2 binary64)))
(* x 2)
(*.f64 x #s(literal 2 binary64))
x
2
#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)))

localize362.0ms (3.1%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(exp.f64 (*.f64 x #s(literal 2 binary64)))
✓accuracy100.0%
(expm1.f64 (*.f64 x #s(literal 2 binary64)))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))
✓accuracy99.6%
(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
✓accuracy99.8%
(*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))
✓accuracy99.8%
(*.f64 x (*.f64 x (*.f64 x x)))
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
✓accuracy99.5%
(*.f64 x #s(literal -1/3 binary64))
✓accuracy99.8%
(*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))
✓accuracy99.8%
(*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64)))
✓accuracy99.8%
(*.f64 (*.f64 x x) #s(literal 2/15 binary64))
✓accuracy99.5%
(*.f64 x #s(literal -1/3 binary64))
✓accuracy99.9%
(*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
✓accuracy99.9%
(*.f64 x (*.f64 x x))
✓accuracy99.9%
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
✓accuracy99.8%
(*.f64 x (*.f64 x (*.f64 x x)))
Results
285.0ms239×1valid
9.0ms17×0valid
Compiler

Compiled 269 to 31 computations (88.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 183.0ms
ival-mult: 64.0ms (35% of total)
...c/correct-round.rkt:119:19: 33.0ms (18% of total)
backward-pass: 30.0ms (16.4% of total)
compiled-spec: 19.0ms (10.4% of total)
ival-exp: 15.0ms (8.2% of total)
ival-add: 14.0ms (7.7% of total)
ival-div: 4.0ms (2.2% of total)
ival-sub: 3.0ms (1.6% of total)
const: 1.0ms (0.5% of total)

series9.0ms (0.1%)

Counts
22 → 264
Calls
Call 1
Inputs
#<alt (* x (* 2/15 (* x (* x (* x x)))))>
#<alt (* 2/15 (* x (* x (* x x))))>
#<alt (* x (* x (* x x)))>
#<alt (* x (* x x))>
#<alt (+ (+ 1 (* x (* x -1/3))) (* x (* x (* (* x x) 2/15))))>
#<alt (* x (+ (+ 1 (* x (* x -1/3))) (* x (* x (* (* x x) 2/15)))))>
#<alt (+ 1 (* x (* x -1/3)))>
#<alt (* x (* x -1/3))>
#<alt (+ (+ 1 (* (+ 2/15 (* (* x x) -17/315)) (* x (* x (* x x))))) (* x (* x -1/3)))>
#<alt (* x (+ (+ 1 (* (+ 2/15 (* (* x x) -17/315)) (* x (* x (* x x))))) (* x (* x -1/3))))>
#<alt (+ 1 (* (+ 2/15 (* (* x x) -17/315)) (* x (* x (* x x)))))>
#<alt (* (+ 2/15 (* (* x x) -17/315)) (* x (* x (* x x))))>
#<alt (/ (- (exp (* x 2)) 1) (+ 1 (exp (* x 2))))>
#<alt (- (exp (* x 2)) 1)>
#<alt (* x 2)>
#<alt (+ 1 (exp (* x 2)))>
#<alt (* x -1/3)>
#<alt (* (* x x) 2/15)>
#<alt (* x (* (* x x) 2/15))>
#<alt (* x (* x (* (* x x) 2/15)))>
#<alt (* (* x x) -17/315)>
#<alt (exp (* x 2))>
Outputs
#<alt (* 2/15 (pow x 5))>
#<alt (* 2/15 (pow x 5))>
#<alt (* 2/15 (pow x 5))>
#<alt (* 2/15 (pow x 5))>
#<alt (* 2/15 (pow x 5))>
#<alt (* 2/15 (pow x 5))>
#<alt (* 2/15 (pow x 5))>
#<alt (* 2/15 (pow x 5))>
#<alt (* 2/15 (pow x 5))>
#<alt (* 2/15 (pow x 5))>
#<alt (* 2/15 (pow x 5))>
#<alt (* 2/15 (pow x 5))>
#<alt (* 2/15 (pow x 4))>
#<alt (* 2/15 (pow x 4))>
#<alt (* 2/15 (pow x 4))>
#<alt (* 2/15 (pow x 4))>
#<alt (* 2/15 (pow x 4))>
#<alt (* 2/15 (pow x 4))>
#<alt (* 2/15 (pow x 4))>
#<alt (* 2/15 (pow x 4))>
#<alt (* 2/15 (pow x 4))>
#<alt (* 2/15 (pow x 4))>
#<alt (* 2/15 (pow x 4))>
#<alt (* 2/15 (pow x 4))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt 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 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 (* -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 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 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 (* 2/15 (pow x 4)))>
#<alt (+ 1 (* (pow x 4) (+ 2/15 (* -17/315 (pow x 2)))))>
#<alt (+ 1 (* (pow x 4) (+ 2/15 (* -17/315 (pow x 2)))))>
#<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))) (/ 1 (pow x 6))) 17/315))>
#<alt (* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) 17/315))>
#<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))) (/ 1 (pow x 6))) 17/315))>
#<alt (* (pow x 6) (- (+ (* 2/15 (/ 1 (pow x 2))) (/ 1 (pow x 6))) 17/315))>
#<alt (* 2/15 (pow x 4))>
#<alt (* (pow x 4) (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* (pow x 4) (+ 2/15 (* -17/315 (pow x 2))))>
#<alt (* (pow x 4) (+ 2/15 (* -17/315 (pow x 2))))>
#<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))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<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))>
#<alt (* (pow x 6) (- (* 2/15 (/ 1 (pow x 2))) 17/315))>
#<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 (* 2 x)) 1) (+ 1 (exp (* 2 x))))>
#<alt (/ (- (exp (* 2 x)) 1) (+ 1 (exp (* 2 x))))>
#<alt (/ (- (exp (* 2 x)) 1) (+ 1 (exp (* 2 x))))>
#<alt (/ (- (exp (* 2 x)) 1) (+ 1 (exp (* 2 x))))>
#<alt (/ (- (exp (* 2 x)) 1) (+ 1 (exp (* 2 x))))>
#<alt (/ (- (exp (* 2 x)) 1) (+ 1 (exp (* 2 x))))>
#<alt (/ (- (exp (* 2 x)) 1) (+ 1 (exp (* 2 x))))>
#<alt (/ (- (exp (* 2 x)) 1) (+ 1 (exp (* 2 x))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 x)))>
#<alt (* x (+ 2 (* x (+ 2 (* 4/3 x)))))>
#<alt (* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))>
#<alt (- (exp (* 2 x)) 1)>
#<alt (- (exp (* 2 x)) 1)>
#<alt (- (exp (* 2 x)) 1)>
#<alt (- (exp (* 2 x)) 1)>
#<alt (- (exp (* 2 x)) 1)>
#<alt (- (exp (* 2 x)) 1)>
#<alt (- (exp (* 2 x)) 1)>
#<alt (- (exp (* 2 x)) 1)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt 2>
#<alt (+ 2 (* 2 x))>
#<alt (+ 2 (* x (+ 2 (* 2 x))))>
#<alt (+ 2 (* x (+ 2 (* x (+ 2 (* 4/3 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 (exp (* 2 x)))>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* 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 (pow x 3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* 2/15 (pow x 3))>
#<alt (* 2/15 (pow x 4))>
#<alt (* 2/15 (pow x 4))>
#<alt (* 2/15 (pow x 4))>
#<alt (* 2/15 (pow x 4))>
#<alt (* 2/15 (pow x 4))>
#<alt (* 2/15 (pow x 4))>
#<alt (* 2/15 (pow x 4))>
#<alt (* 2/15 (pow x 4))>
#<alt (* 2/15 (pow x 4))>
#<alt (* 2/15 (pow x 4))>
#<alt (* 2/15 (pow x 4))>
#<alt (* 2/15 (pow x 4))>
#<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 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 (* 2 x))))>
#<alt (+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 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 (exp (* 2 x))>
Calls

66 calls:

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

rewrite252.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
1760×*-lowering-*.f32
1760×*-lowering-*.f64
1480×fma-lowering-fma.f32
1480×fma-lowering-fma.f64
1476×sum4-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
030177
1103146
2316141
31028137
44044137
08089137
Stop Event
1×iter limit
1×node limit
Counts
22 → 609
Calls
Call 1
Inputs
(* x (* 2/15 (* x (* x (* x x)))))
(* 2/15 (* x (* x (* x x))))
(* x (* x (* x x)))
(* x (* x x))
(+ (+ 1 (* x (* x -1/3))) (* x (* x (* (* x x) 2/15))))
(* x (+ (+ 1 (* x (* x -1/3))) (* x (* x (* (* x x) 2/15)))))
(+ 1 (* x (* x -1/3)))
(* x (* x -1/3))
(+ (+ 1 (* (+ 2/15 (* (* x x) -17/315)) (* x (* x (* x x))))) (* x (* x -1/3)))
(* x (+ (+ 1 (* (+ 2/15 (* (* x x) -17/315)) (* x (* x (* x x))))) (* x (* x -1/3))))
(+ 1 (* (+ 2/15 (* (* x x) -17/315)) (* x (* x (* x x)))))
(* (+ 2/15 (* (* x x) -17/315)) (* x (* x (* x x))))
(/ (- (exp (* x 2)) 1) (+ 1 (exp (* x 2))))
(- (exp (* x 2)) 1)
(* x 2)
(+ 1 (exp (* x 2)))
(* x -1/3)
(* (* x x) 2/15)
(* x (* (* x x) 2/15))
(* x (* x (* (* x x) 2/15)))
(* (* x x) -17/315)
(exp (* x 2))
Outputs
(*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x x))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 2/15 binary64) (*.f64 x x)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x #s(literal 2/15 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x x)))))
(*.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x x))) (*.f64 x x))
(*.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) x)
(*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x x)))) #s(literal 1 binary64))
(*.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 2/15 binary64))
(*.f64 x (*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x x))))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(*.f64 (*.f64 x x) (*.f64 #s(literal 2/15 binary64) (*.f64 x x)))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 2/15 binary64)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 2/15 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) (*.f64 x x))
(*.f64 (*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x x))) x)
(*.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))
(*.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 x (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 #s(literal 3 binary64) (log.f64 x))))
(exp.f64 (+.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) (log.f64 x)))
(pow.f64 x #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 x))
(*.f64 x (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 (*.f64 x (*.f64 x x)) x)
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 3 binary64))) (log.f64 x)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (log.f64 x)))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(*.f64 x (*.f64 x x))
(*.f64 (*.f64 x x) x)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x x))))))
(+.f64 (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(+.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x x))))) #s(literal 1 binary64))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))
(fma.f64 x (*.f64 x #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(fma.f64 x (*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(fma.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x x)))) #s(literal 1 binary64))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(fma.f64 (*.f64 x x) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(fma.f64 (*.f64 x x) (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(fma.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x x))) #s(literal 1 binary64))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x #s(literal 2/15 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 2/15 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(fma.f64 #s(literal -1/3 binary64) (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(fma.f64 (*.f64 x #s(literal -1/3 binary64)) x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(fma.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(fma.f64 (*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x x))) x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(fma.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(fma.f64 (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x x)))) x #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x x))) (*.f64 x x) #s(literal 1 binary64))
(+.f64 x (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x x))))))
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))))
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x x)))))
(+.f64 (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x x))))) x)
(+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x x))))))
(fma.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(fma.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x x)))))
(fma.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))))
(fma.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x x))))) x)
(fma.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64)))
(fma.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))))
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -1/3 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(fma.f64 (*.f64 x x) (*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x x))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))))
(fma.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x x)))) x)
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 2/15 binary64) (*.f64 x x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64))))))
(fma.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x x))) x)
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(*.f64 (*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x x))) x)
(*.f64 (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))
(*.f64 (*.f64 x #s(literal 2/15 binary64)) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x #s(literal -17/315 binary64)))
(*.f64 (*.f64 x x) #s(literal -17/315 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))
(*.f64 #s(literal -17/315 binary64) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) #s(literal -17/315 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x #s(literal -17/315 binary64)) x)
(exp.f64 (*.f64 x #s(literal 2 binary64)))
(exp.f64 (*.f64 (neg.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
(neg.f64 (/.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 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (exp.f64 x) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 x)))
(pow.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 x #s(literal 2 binary64)))
(pow.f64 (*.f64 (exp.f64 #s(literal 1 binary64)) (exp.f64 #s(literal 1 binary64))) x)
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64))))
(*.f64 (exp.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (exp.f64 x) (exp.f64 x))
(*.f64 (exp.f64 x) (*.f64 (exp.f64 x) #s(literal 1 binary64)))
(*.f64 (exp.f64 x) (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(*.f64 (exp.f64 x) (/.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal -1 binary64)))
(*.f64 (exp.f64 x) (pow.f64 (*.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (exp.f64 x) (pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (*.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) (pow.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (/.f64 (exp.f64 x) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))) (exp.f64 x))
(*.f64 (*.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 x))
(*.f64 (pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x))) #s(literal 1 binary64)) (exp.f64 x))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 1 binary64)) (exp.f64 x))

simplify265.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
2308×*-lowering-*.f32
2308×*-lowering-*.f64
2042×+-lowering-+.f64
2042×+-lowering-+.f32
1950×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01131782
13251597
29401556
327821536
467961536
085691536
Stop Event
1×iter limit
1×node limit
Counts
264 → 264
Calls
Call 1
Inputs
(* 2/15 (pow x 5))
(* 2/15 (pow x 5))
(* 2/15 (pow x 5))
(* 2/15 (pow x 5))
(* 2/15 (pow x 5))
(* 2/15 (pow x 5))
(* 2/15 (pow x 5))
(* 2/15 (pow x 5))
(* 2/15 (pow x 5))
(* 2/15 (pow x 5))
(* 2/15 (pow x 5))
(* 2/15 (pow x 5))
(* 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))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
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)))))
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 (* -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))
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)))))
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 (* 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))
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 (* 2 x)) 1) (+ 1 (exp (* 2 x))))
(/ (- (exp (* 2 x)) 1) (+ 1 (exp (* 2 x))))
(/ (- (exp (* 2 x)) 1) (+ 1 (exp (* 2 x))))
(/ (- (exp (* 2 x)) 1) (+ 1 (exp (* 2 x))))
(/ (- (exp (* 2 x)) 1) (+ 1 (exp (* 2 x))))
(/ (- (exp (* 2 x)) 1) (+ 1 (exp (* 2 x))))
(/ (- (exp (* 2 x)) 1) (+ 1 (exp (* 2 x))))
(/ (- (exp (* 2 x)) 1) (+ 1 (exp (* 2 x))))
(* 2 x)
(* x (+ 2 (* 2 x)))
(* x (+ 2 (* x (+ 2 (* 4/3 x)))))
(* x (+ 2 (* x (+ 2 (* x (+ 4/3 (* 2/3 x)))))))
(- (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)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
2
(+ 2 (* 2 x))
(+ 2 (* x (+ 2 (* 2 x))))
(+ 2 (* x (+ 2 (* x (+ 2 (* 4/3 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 (exp (* 2 x)))
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* 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 (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))
(* 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))
(* -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))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))
(exp (* 2 x))
(exp (* 2 x))
(exp (* 2 x))
(exp (* 2 x))
(exp (* 2 x))
(exp (* 2 x))
(exp (* 2 x))
(exp (* 2 x))
Outputs
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* 2/15 (pow x 5))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))
(* 2/15 (pow x 4))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 2/15 (pow x 4))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 2/15 (pow x 4))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 2/15 (pow x 4))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 2/15 (pow x 4))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 2/15 (pow x 4))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 2/15 (pow x 4))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 2/15 (pow x 4))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 2/15 (pow x 4))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 2/15 (pow x 4))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 2/15 (pow x 4))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 2/15 (pow x 4))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 4)
(*.f64 x (*.f64 x (*.f64 x x)))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* -1/3 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x)))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x x)))))
(+ 1 (* (pow x 2) (- (* 2/15 (pow x 2)) 1/3)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 2/15 binary64) (*.f64 x x)))))
(* 2/15 (pow x 4))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))))
(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 2/15 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 x x)))))
(* 2/15 (pow x 4))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* (pow x 4) (- 2/15 (* 1/3 (/ 1 (pow x 2)))))
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(* (pow x 4) (- (+ 2/15 (/ 1 (pow x 4))) (* 1/3 (/ 1 (pow x 2)))))
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(+ 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))))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* 2/15 (pow x 2))
(*.f64 #s(literal 2/15 binary64) (*.f64 x x))
(* 2/15 (pow x 2))
(*.f64 #s(literal 2/15 binary64) (*.f64 x x))
(* 2/15 (pow x 2))
(*.f64 #s(literal 2/15 binary64) (*.f64 x x))
(* 2/15 (pow x 2))
(*.f64 #s(literal 2/15 binary64) (*.f64 x x))
(* 2/15 (pow x 2))
(*.f64 #s(literal 2/15 binary64) (*.f64 x x))
(* 2/15 (pow x 2))
(*.f64 #s(literal 2/15 binary64) (*.f64 x x))
(* 2/15 (pow x 2))
(*.f64 #s(literal 2/15 binary64) (*.f64 x x))
(* 2/15 (pow x 2))
(*.f64 #s(literal 2/15 binary64) (*.f64 x x))
(* 2/15 (pow x 2))
(*.f64 #s(literal 2/15 binary64) (*.f64 x x))
(* 2/15 (pow x 2))
(*.f64 #s(literal 2/15 binary64) (*.f64 x x))
(* 2/15 (pow x 2))
(*.f64 #s(literal 2/15 binary64) (*.f64 x x))
(* 2/15 (pow x 2))
(*.f64 #s(literal 2/15 binary64) (*.f64 x x))
(* 2/15 (pow x 3))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x x)))
(* 2/15 (pow x 3))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x x)))
(* 2/15 (pow x 3))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x x)))
(* 2/15 (pow x 3))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x x)))
(* 2/15 (pow x 3))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x x)))
(* 2/15 (pow x 3))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x x)))
(* 2/15 (pow x 3))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x x)))
(* 2/15 (pow x 3))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x x)))
(* 2/15 (pow x 3))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x x)))
(* 2/15 (pow x 3))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x x)))
(* 2/15 (pow x 3))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x x)))
(* 2/15 (pow x 3))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x x)))
(* 2/15 (pow x 4))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 2/15 (pow x 4))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 2/15 (pow x 4))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 2/15 (pow x 4))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 2/15 (pow x 4))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 2/15 (pow x 4))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 2/15 (pow x 4))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 2/15 (pow x 4))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 2/15 (pow x 4))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 2/15 (pow x 4))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 2/15 (pow x 4))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* 2/15 (pow x 4))
(*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x))))
(* -17/315 (pow x 2))
(*.f64 x (*.f64 x #s(literal -17/315 binary64)))
(* -17/315 (pow x 2))
(*.f64 x (*.f64 x #s(literal -17/315 binary64)))
(* -17/315 (pow x 2))
(*.f64 x (*.f64 x #s(literal -17/315 binary64)))
(* -17/315 (pow x 2))
(*.f64 x (*.f64 x #s(literal -17/315 binary64)))
(* -17/315 (pow x 2))
(*.f64 x (*.f64 x #s(literal -17/315 binary64)))
(* -17/315 (pow x 2))
(*.f64 x (*.f64 x #s(literal -17/315 binary64)))
(* -17/315 (pow x 2))
(*.f64 x (*.f64 x #s(literal -17/315 binary64)))
(* -17/315 (pow x 2))
(*.f64 x (*.f64 x #s(literal -17/315 binary64)))
(* -17/315 (pow x 2))
(*.f64 x (*.f64 x #s(literal -17/315 binary64)))
(* -17/315 (pow x 2))
(*.f64 x (*.f64 x #s(literal -17/315 binary64)))
(* -17/315 (pow x 2))
(*.f64 x (*.f64 x #s(literal -17/315 binary64)))
(* -17/315 (pow x 2))
(*.f64 x (*.f64 x #s(literal -17/315 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(+ 1 (* x (+ 2 (* 2 x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 4/3 x))))))
(+.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)))

eval149.0ms (1.3%)

Compiler

Compiled 20116 to 1652 computations (91.8% saved)

prune127.0ms (1.1%)

Pruning

11 alts after pruning (1 fresh and 10 done)

PrunedKeptTotal
New9801981
Fresh000
Picked134
Done077
Total98111992
Accuracy
100.0%
Counts
992 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.5%
(/.f64 (sinh.f64 x) (cosh.f64 x))
✓99.5%
(/.f64 (expm1.f64 (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 2 binary64)))))
✓97.9%
(+.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x))) x)
✓97.8%
(+.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 x))) x)
✓97.5%
(+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) x)
✓97.8%
(*.f64 x (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
✓97.8%
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
✓97.8%
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
6.4%
(*.f64 x (*.f64 (*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x x))) x))
✓100.0%
(tanh.f64 x)
✓96.5%
x
Compiler

Compiled 402 to 181 computations (55% saved)

regimes10.0ms (0.1%)

Counts
17 → 1
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) x)
(*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 (*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x x))) x))
(*.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)))))))
(+.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x))) x)
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x 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) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
(+.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 x))) x)
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(*.f64 x (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
(tanh.f64 x)
(/.f64 (sinh.f64 x) (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) (+.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:

5.0ms
x
4.0ms
(/.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)

regimes22.0ms (0.2%)

Counts
12 → 1
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) x)
(*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 (*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x x))) x))
(*.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)))))))
(+.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x))) x)
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 x (*.f64 x (*.f64 (*.f64 x 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) (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))))))))
(+.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 x))) x)
(*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2/15 binary64) (*.f64 (*.f64 x x) #s(literal -17/315 binary64))) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(*.f64 x (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) #s(literal -17/315 binary64)))))) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 2/15 binary64))))))
Outputs
(+.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x))) x)
Calls

1 calls:

22.0ms
x
Results
AccuracySegmentsBranch
97.9%1x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
6 → 1
Calls
Call 1
Inputs
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
(+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) x)
(*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 (*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x x))) x))
(*.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)))))))
Outputs
(*.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)))))))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
97.8%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 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) x)
(*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 x (*.f64 (*.f64 x (*.f64 #s(literal 2/15 binary64) (*.f64 x x))) x))
Outputs
(+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) x)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
97.5%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
97.5%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
96.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
20×*-commutative_binary64
12×+-commutative_binary64
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02251
14151
Stop Event
1×saturated
Calls
Call 1
Inputs
(tanh.f64 x)
(+.f64 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x))) x)
(*.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)))))))
(+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.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 (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x))) x)
(+.f64 x (*.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 x x) #s(literal 2/15 binary64))) (*.f64 x (*.f64 x x))))
(*.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)))))))
(+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) x)
(+.f64 x (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 x x))))
x

soundness1.4s (12.3%)

Rules
3986×*-lowering-*.f32
3986×*-lowering-*.f64
2818×/-lowering-/.f32
2818×/-lowering-/.f64
2522×sum4-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
11913
23713
36513
413313
534013
680313
7138013
8261813
9318213
10341013
11356913
12368613
0368613
023140
1102121
2358118
31141118
43328118
08886118
0139978
1410905
21079859
33007859
44837859
56592859
08061859
02060
17257
237157
3178757
0868157
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×saturated
Compiler

Compiled 140 to 81 computations (42.1% saved)

preprocess47.0ms (0.4%)

Remove

(negabs x)

Compiler

Compiled 150 to 70 computations (53.3% saved)

end0.0ms (0%)

Profiling

Loading profile data...