SynthBasics:moogVCF from YampaSynth-0.2

Time bar (total: 11.9s)

analyze113.0ms (0.9%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
50%49.9%49.9%0.2%0%0%0%3
50%49.9%49.9%0.2%0%0%0%4
50%49.9%49.9%0.2%0%0%0%5
50%49.9%49.9%0.2%0%0%0%6
75%74.9%25%0.2%0%0%0%7
75%74.9%25%0.2%0%0%0%8
75%74.9%25%0.2%0%0%0%9
75%74.9%25%0.2%0%0%0%10
87.5%87.3%12.5%0.2%0%0%0%11
87.5%87.3%12.5%0.2%0%0%0%12
Compiler

Compiled 20 to 13 computations (35% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-sub: 38.0ms (55.7% of total)
ival-mult: 13.0ms (19.1% of total)
ival-tanh: 8.0ms (11.7% of total)
ival-div: 6.0ms (8.8% of total)
ival-add: 4.0ms (5.9% of total)
const: 1.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

sample1.5s (12.7%)

Results
1.2s8020×0valid
45.0ms236×1valid
Precisions
Click to see histograms. Total time spent on operations: 808.0ms
ival-tanh: 348.0ms (43.1% of total)
ival-mult: 182.0ms (22.5% of total)
ival-div: 174.0ms (21.5% of total)
ival-sub: 47.0ms (5.8% of total)
ival-add: 43.0ms (5.3% of total)
const: 7.0ms (0.9% of total)
backward-pass: 7.0ms (0.9% of total)
Bogosity

preprocess301.0ms (2.5%)

Algorithm
2×egg-herbie
Rules
3416×+-lowering-+.f64
3416×+-lowering-+.f32
3180×*-lowering-*.f32
3180×*-lowering-*.f64
1862×sum4-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
078238
1406223
21245210
35327210
01215
15414
216214
344314
4177514
0898314
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
Outputs
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Call 2
Inputs
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
(+ (neg x) (* (* y z) (- (tanh (/ t y)) (tanh (/ (neg x) y)))))
(+ x (* (* (neg y) z) (- (tanh (/ t (neg y))) (tanh (/ x (neg y))))))
(+ x (* (* y (neg z)) (- (tanh (/ t y)) (tanh (/ x y)))))
(+ x (* (* y z) (- (tanh (/ (neg t) y)) (tanh (/ x y)))))
(neg (+ (neg x) (* (* y z) (- (tanh (/ t y)) (tanh (/ (neg x) y))))))
(neg (+ x (* (* (neg y) z) (- (tanh (/ t (neg y))) (tanh (/ x (neg y)))))))
(neg (+ x (* (* y (neg z)) (- (tanh (/ t y)) (tanh (/ x y))))))
(neg (+ x (* (* y z) (- (tanh (/ (neg t) y)) (tanh (/ x y))))))
(+ y (* (* x z) (- (tanh (/ t x)) (tanh (/ y x)))))
(+ z (* (* y x) (- (tanh (/ t y)) (tanh (/ z y)))))
(+ t (* (* y z) (- (tanh (/ x y)) (tanh (/ t y)))))
(+ x (* (* z y) (- (tanh (/ t z)) (tanh (/ x z)))))
(+ x (* (* t z) (- (tanh (/ y t)) (tanh (/ x t)))))
(+ x (* (* y t) (- (tanh (/ z y)) (tanh (/ x y)))))
Outputs
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
(+ (neg x) (* (* y z) (- (tanh (/ t y)) (tanh (/ (neg x) y)))))
(fmsub (* y z) (+ (tanh (/ t y)) (tanh (/ x y))) x)
(+ x (* (* (neg y) z) (- (tanh (/ t (neg y))) (tanh (/ x (neg y))))))
(fma y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
(+ x (* (* y (neg z)) (- (tanh (/ t y)) (tanh (/ x y)))))
(fma y (* z (- (tanh (/ x y)) (tanh (/ t y)))) x)
(+ x (* (* y z) (- (tanh (/ (neg t) y)) (tanh (/ x y)))))
(fnmadd y (* z (+ (tanh (/ t y)) (tanh (/ x y)))) x)
(neg (+ (neg x) (* (* y z) (- (tanh (/ t y)) (tanh (/ (neg x) y))))))
(fnmadd y (* z (+ (tanh (/ t y)) (tanh (/ x y)))) x)
(neg (+ x (* (* (neg y) z) (- (tanh (/ t (neg y))) (tanh (/ x (neg y)))))))
(fnmsub y (* z (- (tanh (/ t y)) (tanh (/ x y)))) x)
(neg (+ x (* (* y (neg z)) (- (tanh (/ t y)) (tanh (/ x y))))))
(fnmsub y (* z (- (tanh (/ x y)) (tanh (/ t y)))) x)
(neg (+ x (* (* y z) (- (tanh (/ (neg t) y)) (tanh (/ x y))))))
(fmsub (* y z) (+ (tanh (/ t y)) (tanh (/ x y))) x)
(+ y (* (* x z) (- (tanh (/ t x)) (tanh (/ y x)))))
(fma x (* z (- (tanh (/ t x)) (tanh (/ y x)))) y)
(+ z (* (* y x) (- (tanh (/ t y)) (tanh (/ z y)))))
(fma y (* x (- (tanh (/ t y)) (tanh (/ z y)))) z)
(+ t (* (* y z) (- (tanh (/ x y)) (tanh (/ t y)))))
(fma y (* z (- (tanh (/ x y)) (tanh (/ t y)))) t)
(+ x (* (* z y) (- (tanh (/ t z)) (tanh (/ x z)))))
(fma z (* y (- (tanh (/ t z)) (tanh (/ x z)))) x)
(+ x (* (* t z) (- (tanh (/ y t)) (tanh (/ x t)))))
(fma (* z t) (- (tanh (/ y t)) (tanh (/ x t))) x)
(+ x (* (* y t) (- (tanh (/ z y)) (tanh (/ x y)))))
(fma y (* t (- (tanh (/ z y)) (tanh (/ x y)))) x)
Symmetry

(abs y)

explain146.0ms (1.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
290-2(-8.414268298374868e-235 6.778482827822451e+87 -1.869224222183764e-85 -1.6464450880563438e-302)(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
00-0-x
00-0-(*.f64 y z)
00-0-(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
00-0-y
00-0-(tanh.f64 (/.f64 t y))
00-0-z
00-0-(tanh.f64 (/.f64 x y))
00-0-(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
00-0-t
00-0-(/.f64 t y)
00-0-(/.f64 x y)
Results
67.0ms418×0valid
34.0ms88×2valid
2.0ms4×3valid
1.0ms2×1valid
Compiler

Compiled 145 to 38 computations (73.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 22.0ms (35.8% of total)
ival-add: 12.0ms (19.5% of total)
ival-div: 11.0ms (17.9% of total)
ival-tanh: 8.0ms (13% of total)
backward-pass: 4.0ms (6.5% of total)
ival-sub: 4.0ms (6.5% of total)
const: 1.0ms (1.6% of total)

eval0.0ms (0%)

Compiler

Compiled 19 to 12 computations (36.8% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶90.7%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Compiler

Compiled 19 to 12 computations (36.8% saved)

simplify216.0ms (1.8%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
✓cost-diff0
(*.f64 y z)
✓cost-diff0
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
✓cost-diff0
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Rules
3416×+-lowering-+.f64
3416×+-lowering-+.f32
3180×*-lowering-*.f32
3180×*-lowering-*.f64
1862×sum4-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01258
15457
216257
344357
4177557
0898357
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
x
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
(* y z)
y
z
(- (tanh (/ t y)) (tanh (/ x y)))
(tanh (/ t y))
(/ t y)
t
(tanh (/ x y))
(/ x y)
Outputs
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
x
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(* y z)
(*.f64 y z)
y
z
(- (tanh (/ t y)) (tanh (/ x y)))
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
(tanh (/ t y))
(tanh.f64 (/.f64 t y))
(/ t y)
(/.f64 t y)
t
(tanh (/ x y))
(tanh.f64 (/.f64 x y))
(/ x y)
(/.f64 x y)

localize59.0ms (0.5%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(tanh.f64 (/.f64 t y))
✓accuracy100.0%
(tanh.f64 (/.f64 x y))
✓accuracy100.0%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
✓accuracy89.6%
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
Results
27.0ms209×0valid
16.0ms44×2valid
1.0ms2×3valid
0.0ms1×1valid
Compiler

Compiled 63 to 13 computations (79.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-div: 6.0ms (29.6% of total)
ival-mult: 5.0ms (24.6% of total)
ival-tanh: 4.0ms (19.7% of total)
backward-pass: 2.0ms (9.9% of total)
ival-sub: 2.0ms (9.9% of total)
ival-add: 2.0ms (9.9% of total)
const: 0.0ms (0% of total)

series67.0ms (0.6%)

Counts
6 → 204
Calls
Call 1
Inputs
#<alt (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))>
#<alt (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))>
#<alt (* y z)>
#<alt (- (tanh (/ t y)) (tanh (/ x y)))>
#<alt (tanh (/ x y))>
#<alt (tanh (/ t y))>
Outputs
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))>
#<alt (+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))>
#<alt (+ (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))>
#<alt (+ (* x (+ 1 (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2)))))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))>
#<alt x>
#<alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)))>
#<alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)))>
#<alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))>
#<alt x>
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))>
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))>
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))>
#<alt (+ x (* z (- t x)))>
#<alt (+ x (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y)))>
#<alt (+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2)))))>
#<alt (+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (+ (/ (* z (- (+ (* -1/2 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4)))))))) (+ (* -1/2 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))))))) (pow y 3)) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2))))))>
#<alt (+ x (* -1 (* z (- (* -1 t) (* -1 x)))))>
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y)))>
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))) y)) y))))>
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (* -1 (/ (+ (* -1 (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (/ (* z (- (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))))))) y)) y))) y))))>
#<alt x>
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))>
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))>
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))>
#<alt (* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z)))>
#<alt (* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z)))>
#<alt (* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ x z)))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))>
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#<alt (/ (- t x) y)>
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#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))>
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#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))>
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))>
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))>
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))>
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))>
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))>
#<alt (/ x y)>
#<alt (* x (+ (* -1/3 (/ (pow x 2) (pow y 3))) (/ 1 y)))>
#<alt (* x (+ (* (pow x 2) (- (* 2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))>
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -17/315 (/ (pow x 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ x y)>
#<alt (/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)>
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#<alt (/ x y)>
#<alt (* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y))>
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#<alt (/ t y)>
#<alt (* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y)))>
#<alt (* t (+ (* (pow t 2) (- (* 2/15 (/ (pow t 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))>
#<alt (* t (+ (* (pow t 2) (- (* (pow t 2) (+ (* -17/315 (/ (pow t 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))>
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))>
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))>
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))>
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))>
#<alt (/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))>
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#<alt (/ t y)>
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#<alt (/ t y)>
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#<alt (* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* -1/2 (pow t 3))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y))>
#<alt (* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (* -1/2 (pow t 3))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y))>
Calls

51 calls:

TimeVariablePointExpression
6.0ms
t
@-inf
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
5.0ms
y
@inf
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
5.0ms
y
@-inf
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
3.0ms
t
@inf
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
3.0ms
x
@inf
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))

rewrite352.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
4676×*-lowering-*.f32
4676×*-lowering-*.f64
3988×/-lowering-/.f32
3988×/-lowering-/.f64
2132×--lowering--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01248
19147
289247
0826947
Stop Event
1×iter limit
1×node limit
Counts
6 → 272
Calls
Call 1
Inputs
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
(* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))
(* y z)
(- (tanh (/ t y)) (tanh (/ x y)))
(tanh (/ x y))
(tanh (/ t y))
Outputs
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(+.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
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(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y)))) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x)))) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64))) (*.f64 (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) (+.f64 (*.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) (*.f64 (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 x y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64))) (/.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64)))) (*.f64 (/.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64)))))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 x y))) #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))
(*.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 x y)))
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y))))
(*.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))))
(*.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))))))
(tanh.f64 (/.f64 x y))
(+.f64 (/.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (neg.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))))
(+.f64 (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (neg.f64 (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))))))
(-.f64 (/.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))))
(-.f64 (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 t y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 t y))) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 t y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y)))) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y))))) (pow.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y))) #s(literal 1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y))) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))))) (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (/.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))) (+.f64 (*.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))) (*.f64 (/.f64 (exp.f64 (/.f64 t y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)))) (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y))))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y))))) (*.f64 (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))))) (+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (/.f64 (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 t y))) #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))))
(*.f64 #s(literal 1 binary64) (tanh.f64 (/.f64 t y)))
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 t y)) (cosh.f64 (/.f64 t y))))
(*.f64 (expm1.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y)))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))))))
(*.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) y))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) t) y))))))
(tanh.f64 (/.f64 t y))

simplify316.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
3608×*-lowering-*.f32
3608×*-lowering-*.f64
3606×+-lowering-+.f64
3606×+-lowering-+.f32
1352×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04959897
118357218
089677218
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
Calls
Call 1
Inputs
(* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))
(+ (* x (+ 1 (* -1 z))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))
(+ (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))
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(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))
(/.f64 (+.f64 (exp.f64 (/.f64 t y)) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 t y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y)))))
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))
(/.f64 (+.f64 (exp.f64 (/.f64 t y)) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 t y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y)))))
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))
(/.f64 (+.f64 (exp.f64 (/.f64 t y)) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 t y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y)))))
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))
(/.f64 (+.f64 (exp.f64 (/.f64 t y)) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 t y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y)))))
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))
(/.f64 (+.f64 (exp.f64 (/.f64 t y)) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 t y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y)))))
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))
(/.f64 (+.f64 (exp.f64 (/.f64 t y)) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 t y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y)))))
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))
(/.f64 (+.f64 (exp.f64 (/.f64 t y)) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 t y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y)))))
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))
(/.f64 (+.f64 (exp.f64 (/.f64 t y)) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 t y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y)))))
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))
(/.f64 (+.f64 (exp.f64 (/.f64 t y)) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 t y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y)))))
(/ (- (exp (/ t y)) (/ 1 (exp (/ t y)))) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))
(/.f64 (+.f64 (exp.f64 (/.f64 t y)) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 t y)))) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y)))))
(/ t y)
(/.f64 t y)
(/ (+ t (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y)
(/.f64 (+.f64 t (/.f64 #s(literal 0 binary64) y)) y)
(/ (- (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y)))) (* 1/2 (/ (pow t 3) (pow y 2)))) y)
(/.f64 (+.f64 t (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64))) (*.f64 y y))) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y))))) y)
(/ (- (+ t (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))))) (+ (* -1/2 (/ (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2))) (pow y 3))) (* 1/2 (/ (pow t 3) (pow y 2)))))) y)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64))) (*.f64 y y))) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t #s(literal -1/2 binary64))))) (*.f64 (*.f64 t (*.f64 t (*.f64 t t))) #s(literal -1/12 binary64))) (*.f64 t (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/6 binary64))))) (*.f64 y (*.f64 y y))))) (-.f64 t (+.f64 (/.f64 (*.f64 t (*.f64 t (*.f64 t #s(literal 1/2 binary64)))) (*.f64 y y)) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 (*.f64 t t) (*.f64 t #s(literal -1/2 binary64))) (*.f64 t (*.f64 t (*.f64 t #s(literal 1/2 binary64))))) (*.f64 t #s(literal -1/2 binary64))) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 #s(literal 0 binary64) y) (*.f64 y y)))))) y)
(/ t y)
(/.f64 t y)
(* -1 (/ (+ (* -1 t) (* -1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) y) t) y))
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* -1/2 (pow t 3))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 t (/.f64 (/.f64 (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64))) (neg.f64 y)) y))) y)
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (* -1/2 (pow t 3))) y)) (* 1/2 (+ (* -1 (pow t 2)) (pow t 2)))) y))) y))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 t (/.f64 (/.f64 (+.f64 (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64))) (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t #s(literal -1/2 binary64)))) #s(literal -1/4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 #s(literal -1/6 binary64) t)) (*.f64 (*.f64 t (*.f64 t (*.f64 t t))) #s(literal -1/12 binary64)))) (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 t t) (*.f64 t #s(literal -1/2 binary64))) (*.f64 t (*.f64 t (*.f64 t #s(literal 1/2 binary64))))) (*.f64 t #s(literal 1/2 binary64))) #s(literal 0 binary64)))) (neg.f64 y))) (neg.f64 y)) y))) y)

eval109.0ms (0.9%)

Compiler

Compiled 21925 to 1880 computations (91.4% saved)

prune76.0ms (0.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New4679476
Fresh000
Picked101
Done000
Total4689477
Accuracy
100.0%
Counts
477 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶96.3%
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
▶96.3%
(+.f64 x (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z))
95.1%
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y))
▶46.4%
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y)))
▶62.8%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
61.0%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
43.5%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y)))))))
60.8%
(+.f64 x (*.f64 z (-.f64 t x)))
▶62.4%
x
Compiler

Compiled 298 to 186 computations (37.6% saved)

simplify469.0ms (3.9%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
✓cost-diff0
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)
✓cost-diff0
(*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z)
✓cost-diff0
(+.f64 x (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z))
✓cost-diff0
(-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))
✓cost-diff0
(*.f64 y z)
✓cost-diff0
(*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))
✓cost-diff0
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
✓cost-diff0
(/.f64 (-.f64 t x) y)
✓cost-diff0
(*.f64 y z)
✓cost-diff256
(*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y))
✓cost-diff256
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y)))
✓cost-diff0
(tanh.f64 (/.f64 t y))
✓cost-diff0
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
✓cost-diff0
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)
✓cost-diff6272
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
Rules
5182×+-lowering-+.f64
5182×+-lowering-+.f32
3324×*-lowering-*.f32
3324×*-lowering-*.f64
1398×fma-lowering-fma.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
021204
177202
2226202
3658202
42551192
08212192
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x)
(* (- (tanh (/ t y)) (tanh (/ x y))) y)
(- (tanh (/ t y)) (tanh (/ x y)))
(tanh (/ t y))
(/ t y)
t
y
(tanh (/ x y))
(/ x y)
x
z
x
(+ x (* (* y z) (/ (- t x) y)))
x
(* (* y z) (/ (- t x) y))
(* y z)
y
z
(/ (- t x) y)
(- t x)
t
(+ x (* (* y z) (- (/ t y) (tanh (/ x y)))))
x
(* (* y z) (- (/ t y) (tanh (/ x y))))
(* y z)
y
z
(- (/ t y) (tanh (/ x y)))
(/ t y)
t
(tanh (/ x y))
(/ x y)
(+ x (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z))
x
(* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z)
(* (- (tanh (/ t y)) (tanh (/ x y))) y)
(- (tanh (/ t y)) (tanh (/ x y)))
(tanh (/ t y))
(/ t y)
t
y
(tanh (/ x y))
(/ x y)
z
Outputs
(+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x)
(+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)))
(* (- (tanh (/ t y)) (tanh (/ x y))) y)
(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(- (tanh (/ t y)) (tanh (/ x y)))
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
(tanh (/ t y))
(tanh.f64 (/.f64 t y))
(/ t y)
(/.f64 t y)
t
y
(tanh (/ x y))
(tanh.f64 (/.f64 x y))
(/ x y)
(/.f64 x y)
x
z
x
(+ x (* (* y z) (/ (- t x) y)))
(+.f64 x (*.f64 z (-.f64 t x)))
x
(* (* y z) (/ (- t x) y))
(*.f64 z (-.f64 t x))
(* y z)
(*.f64 y z)
y
z
(/ (- t x) y)
(/.f64 (-.f64 t x) y)
(- t x)
(-.f64 t x)
t
(+ x (* (* y z) (- (/ t y) (tanh (/ x y)))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
x
(* (* y z) (- (/ t y) (tanh (/ x y))))
(*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))
(* y z)
(*.f64 y z)
y
z
(- (/ t y) (tanh (/ x y)))
(-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))
(/ t y)
(/.f64 t y)
t
(tanh (/ x y))
(tanh.f64 (/.f64 x y))
(/ x y)
(/.f64 x y)
(+ x (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z))
(+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)))
x
(* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z)
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))
(* (- (tanh (/ t y)) (tanh (/ x y))) y)
(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(- (tanh (/ t y)) (tanh (/ x y)))
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
(tanh (/ t y))
(tanh.f64 (/.f64 t y))
(/ t y)
(/.f64 t y)
t
y
(tanh (/ x y))
(tanh.f64 (/.f64 x y))
(/ x y)
(/.f64 x y)
z

localize358.0ms (3%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(tanh.f64 (/.f64 x y))
✓accuracy100.0%
(+.f64 x (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z))
✓accuracy100.0%
(*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z)
✓accuracy93.9%
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)
✓accuracy100.0%
(-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))
✓accuracy100.0%
(tanh.f64 (/.f64 x y))
✓accuracy100.0%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
✓accuracy77.3%
(*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))
✓accuracy100.0%
(*.f64 y z)
✓accuracy100.0%
(/.f64 (-.f64 t x) y)
✓accuracy100.0%
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y)))
✓accuracy72.0%
(*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y))
✓accuracy100.0%
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
✓accuracy100.0%
(tanh.f64 (/.f64 t y))
✓accuracy100.0%
(tanh.f64 (/.f64 x y))
✓accuracy93.9%
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y)
Results
62.0ms208×0valid
38.0ms44×2valid
2.0ms2×3valid
1.0ms2×1valid
Compiler

Compiled 210 to 22 computations (89.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-mult: 16.0ms (31.5% of total)
ival-div: 8.0ms (15.8% of total)
ival-add: 7.0ms (13.8% of total)
backward-pass: 5.0ms (9.9% of total)
ival-sub: 5.0ms (9.9% of total)
compiled-spec: 5.0ms (9.9% of total)
ival-tanh: 4.0ms (7.9% of total)
const: 0.0ms (0% of total)

series57.0ms (0.5%)

Counts
14 → 552
Calls
Call 1
Inputs
#<alt (+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x)>
#<alt (* (- (tanh (/ t y)) (tanh (/ x y))) y)>
#<alt (- (tanh (/ t y)) (tanh (/ x y)))>
#<alt (tanh (/ t y))>
#<alt (+ x (* (* y z) (/ (- t x) y)))>
#<alt (* (* y z) (/ (- t x) y))>
#<alt (* y z)>
#<alt (/ (- t x) y)>
#<alt (+ x (* (* y z) (- (/ t y) (tanh (/ x y)))))>
#<alt (* (* y z) (- (/ t y) (tanh (/ x y))))>
#<alt (- (/ t y) (tanh (/ x y)))>
#<alt (+ x (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z))>
#<alt (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z)>
#<alt (tanh (/ x y))>
Outputs
#<alt (+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))>
#<alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))>
#<alt (+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))>
#<alt (+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))>
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))>
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))>
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))>
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))>
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))>
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))>
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))>
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#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))>
#<alt (* z (- t x))>
#<alt (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y))>
#<alt (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2))))>
#<alt (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (+ (/ (* z (- (+ (* -1/2 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (+ (* -1 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/6 (pow t 3)))))) (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (* 1/12 (pow t 4)))))))) (+ (* -1/2 (* t (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (* -1/2 (pow t 3))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (* 1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))))))) (pow y 3)) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2)))))>
#<alt (* -1 (* z (- (* -1 t) (* -1 x))))>
#<alt (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y))>
#<alt (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (/ (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))) y)) y)))>
#<alt (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))))) (* -1 (/ (+ (* -1 (* z (- (+ (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2)))))))) (+ (* -1/2 (pow t 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (/ (* z (- (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (+ (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* 1/2 (+ (* -1/2 (* (pow t 2) (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/6 (pow t 4)) (+ (* 1/12 (pow t 4)) (* t (+ (* -1/6 (pow t 3)) (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))))))))) (+ (* 1/4 (* (pow t 2) (+ (* -1 (pow t 2)) (pow t 2)))) (+ (* 1/2 (* t (+ (* 1/2 (pow t 3)) (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))))) (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))))))) y)) y))) y)))>
#<alt (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))>
#<alt (+ (* -1 (* x z)) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))>
#<alt (+ (* x (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))>
#<alt (+ (* x (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2))))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))>
#<alt (/ x y)>
#<alt (* x (+ (* -1/3 (/ (pow x 2) (pow y 3))) (/ 1 y)))>
#<alt (* x (+ (* (pow x 2) (- (* 2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))>
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -17/315 (/ (pow x 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ x y)>
#<alt (/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)>
#<alt (/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) (* 1/2 (/ (pow x 3) (pow y 2)))) y)>
#<alt (/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))))) (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (* 1/2 (/ (pow x 3) (pow y 2)))))) y)>
#<alt (/ x y)>
#<alt (* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y))>
Calls

138 calls:

TimeVariablePointExpression
12.0ms
z
@0
(+ x (* (* y z) (- (/ t y) (tanh (/ x y)))))
1.0ms
y
@inf
(+ x (* (* y z) (- (/ t y) (tanh (/ x y)))))
1.0ms
y
@-inf
(+ x (* (* y z) (- (/ t y) (tanh (/ x y)))))
1.0ms
y
@-inf
(* (- (tanh (/ t y)) (tanh (/ x y))) y)
1.0ms
t
@-inf
(+ x (* (* y z) (- (/ t y) (tanh (/ x y)))))

rewrite492.0ms (4.1%)

Algorithm
1×batch-egg-rewrite
Rules
3494×/-lowering-/.f32
3494×/-lowering-/.f64
3278×*-lowering-*.f32
3278×*-lowering-*.f64
2190×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021131
1166129
21885129
09243129
Stop Event
1×iter limit
1×node limit
Counts
14 → 510
Calls
Call 1
Inputs
(+ (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z) x)
(* (- (tanh (/ t y)) (tanh (/ x y))) y)
(- (tanh (/ t y)) (tanh (/ x y)))
(tanh (/ t y))
(+ x (* (* y z) (/ (- t x) y)))
(* (* y z) (/ (- t x) y))
(* y z)
(/ (- t x) y)
(+ x (* (* y z) (- (/ t y) (tanh (/ x y)))))
(* (* y z) (- (/ t y) (tanh (/ x y))))
(- (/ t y) (tanh (/ x y)))
(+ x (* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z))
(* (* (- (tanh (/ t y)) (tanh (/ x y))) y) z)
(tanh (/ x y))
Outputs
(+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)))
(+.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)))) (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x)))
(fma.f64 y (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) x)
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
(fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z x)
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
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(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) (*.f64 y z)) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))) (*.f64 y z)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) (*.f64 y z))) (neg.f64 (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))) (*.f64 y z))) (neg.f64 (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(*.f64 y (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z))
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))
(*.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z)
(*.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y)
(*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y)
(-.f64 (/.f64 (exp.f64 (/.f64 x y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))
(-.f64 (/.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))) (/.f64 (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))))
(/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (/.f64 x y)) (sinh.f64 (/.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64)) (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))))
(/.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64)))
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(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (cosh.f64 (/.f64 x y)) (sinh.f64 (/.f64 x y))))))
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(/.f64 (neg.f64 (neg.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64)))))
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(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))) #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))
(*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y))))
(*.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))))
(tanh.f64 (/.f64 x y))

simplify430.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
5750×+-lowering-+.f64
5750×+-lowering-+.f32
3914×*-lowering-*.f32
3914×*-lowering-*.f64
1094×sum3-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
076220874
1279517687
0883217687
Stop Event
1×iter limit
1×node limit
Counts
552 → 552
Calls
Call 1
Inputs
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
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(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
x
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (* z (- t x)))
(+ x (+ (* z (- t x)) (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y)))
(+ x (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (+ (* -1 (pow t 2)) (pow t 2))) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2))))) y) (/ (* z (- (+ (* 1/2 (+ (* -1 (* t (+ (* -1 (pow t 2)) (* 1/2 (pow t 2))))) (+ (* -1/2 (pow t 3)) (* 1/3 (pow t 3))))) (* 1/2 (pow x 3))) (+ (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))) (* 1/2 (pow t 3))))) (pow y 2)))))
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(* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))))))
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(+ (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))) (* y (* z (- (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))) (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y))))))))))
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(* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)))
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x
(* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))) x)) 1)))
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x
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
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(/ x y)
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(/ x y)
(/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)
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Outputs
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x
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(/.f64 (+.f64 (exp.f64 (/.f64 x y)) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 x y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (+.f64 (exp.f64 (/.f64 x y)) (/.f64 #s(literal -1 binary64) (exp.f64 (/.f64 x y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y)))))
(/ x y)
(/.f64 x y)
(/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)
(/.f64 (+.f64 x (/.f64 #s(literal 0 binary64) y)) y)
(/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) (* 1/2 (/ (pow x 3) (pow y 2)))) y)
(/.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 y y)) (/.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y))))) y)
(/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))))) (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (* 1/2 (/ (pow x 3) (pow y 2)))))) y)
(/.f64 (+.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/12 binary64))) (*.f64 x (-.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))) (*.f64 y (*.f64 y y))) (+.f64 (/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 y y)) (/.f64 #s(literal 0 binary64) y)))) (+.f64 (*.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 y y)) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) y)) (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) y) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))))))) y)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y))
(/.f64 (+.f64 x (/.f64 #s(literal 0 binary64) y)) y)
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 x (*.f64 x x)))) (neg.f64 y)) y)) (neg.f64 y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/12 binary64)) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))) #s(literal 0 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))))) (neg.f64 y)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 x (*.f64 x x))))) (neg.f64 y)) y)) (neg.f64 y))

eval183.0ms (1.5%)

Compiler

Compiled 52157 to 3158 computations (93.9% saved)

prune172.0ms (1.4%)

Pruning

28 alts after pruning (26 fresh and 2 done)

PrunedKeptTotal
New1365261391
Fresh404
Picked325
Done000
Total1372281400
Accuracy
100.0%
Counts
1400 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.1%
(fma.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x)
66.0%
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x)
✓96.3%
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
▶26.4%
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (*.f64 y z) (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
18.5%
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (*.f64 y z) (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))))
46.8%
(+.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x)
▶90.7%
(+.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x)
53.1%
(+.f64 x (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y))
53.1%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (*.f64 z (-.f64 t x))))))
▶56.0%
(+.f64 x (*.f64 (/.f64 (*.f64 y z) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x)))))
17.7%
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) (/.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))))
49.8%
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y))
33.7%
(+.f64 x (*.f64 (/.f64 y (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x)))) (/.f64 z (+.f64 t x))))
29.7%
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x)))) (/.f64 (*.f64 y z) (+.f64 t x))))
55.9%
(+.f64 x (*.f64 (-.f64 t x) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y z))))
60.8%
(+.f64 x (*.f64 (-.f64 t x) z))
▶50.8%
(+.f64 x (*.f64 (*.f64 (/.f64 (-.f64 t x) y) y) z))
66.0%
(+.f64 x (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z))
66.0%
(+.f64 x (*.f64 (*.f64 z (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))) y))
32.0%
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (/.f64 (/.f64 t y) (/.f64 y t)) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (/.f64 t y) (/.f64 x y)))))
27.3%
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))
42.3%
(+.f64 x (*.f64 (*.f64 y z) (/.f64 x (neg.f64 y))))
54.7%
(+.f64 x (*.f64 (*.f64 y z) (/.f64 t y)))
31.8%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y)))))))
61.0%
(+.f64 x (*.f64 z t))
▶17.4%
(*.f64 z t)
52.9%
(*.f64 x (-.f64 #s(literal 1 binary64) z))
✓62.4%
x
Compiler

Compiled 1081 to 589 computations (45.5% saved)

simplify193.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff256
(*.f64 (*.f64 y z) (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))
✓cost-diff512
(*.f64 (/.f64 (-.f64 t x) y) (*.f64 (*.f64 y z) (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))))
✓cost-diff512
(-.f64 (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (*.f64 y z) (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))) (*.f64 x x))
✓cost-diff768
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (*.f64 y z) (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x)))
✓cost-diff256
(/.f64 (*.f64 y z) y)
✓cost-diff512
(*.f64 (/.f64 (*.f64 y z) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x))))
✓cost-diff512
(+.f64 x (*.f64 (/.f64 (*.f64 y z) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x)))))
✓cost-diff0
(/.f64 (-.f64 t x) y)
✓cost-diff256
(*.f64 (/.f64 (-.f64 t x) y) y)
✓cost-diff256
(*.f64 (*.f64 (/.f64 (-.f64 t x) y) y) z)
✓cost-diff256
(+.f64 x (*.f64 (*.f64 (/.f64 (-.f64 t x) y) y) z))
✓cost-diff0
(*.f64 z t)
✓cost-diff0
(tanh.f64 (/.f64 t y))
✓cost-diff0
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
✓cost-diff0
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))
✓cost-diff0
(+.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x)
Rules
4152×*-lowering-*.f32
4152×*-lowering-*.f64
2474×+-lowering-+.f64
2474×+-lowering-+.f32
1560×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032287
1123283
2427205
32183205
08664205
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (- (tanh (/ t y)) (tanh (/ x y))) (* y z)) x)
(* (- (tanh (/ t y)) (tanh (/ x y))) (* y z))
(- (tanh (/ t y)) (tanh (/ x y)))
(tanh (/ t y))
(/ t y)
t
y
(tanh (/ x y))
(/ x y)
x
(* y z)
z
(* z t)
z
t
(+ x (* (* (/ (- t x) y) y) z))
x
(* (* (/ (- t x) y) y) z)
(* (/ (- t x) y) y)
(/ (- t x) y)
(- t x)
t
y
z
(+ x (* (/ (* y z) y) (/ 1 (/ 1 (- t x)))))
x
(* (/ (* y z) y) (/ 1 (/ 1 (- t x))))
(/ (* y z) y)
(* y z)
y
z
(/ 1 (/ 1 (- t x)))
1
(/ 1 (- t x))
(- t x)
t
(/ (- (* (/ (- t x) y) (* (* y z) (/ (* y z) (/ y (- t x))))) (* x x)) (- (/ (* y z) (/ y (- t x))) x))
(- (* (/ (- t x) y) (* (* y z) (/ (* y z) (/ y (- t x))))) (* x x))
(* (/ (- t x) y) (* (* y z) (/ (* y z) (/ y (- t x)))))
(/ (- t x) y)
(- t x)
t
x
y
(* (* y z) (/ (* y z) (/ y (- t x))))
(* y z)
z
(/ (* y z) (/ y (- t x)))
(/ y (- t x))
(* x x)
(- (/ (* y z) (/ y (- t x))) x)
Outputs
(+ (* (- (tanh (/ t y)) (tanh (/ x y))) (* y z)) x)
(+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)))
(* (- (tanh (/ t y)) (tanh (/ x y))) (* y z))
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))
(- (tanh (/ t y)) (tanh (/ x y)))
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
(tanh (/ t y))
(tanh.f64 (/.f64 t y))
(/ t y)
(/.f64 t y)
t
y
(tanh (/ x y))
(tanh.f64 (/.f64 x y))
(/ x y)
(/.f64 x y)
x
(* y z)
(*.f64 y z)
z
(* z t)
(*.f64 t z)
z
t
(+ x (* (* (/ (- t x) y) y) z))
(+.f64 x (*.f64 z (-.f64 t x)))
x
(* (* (/ (- t x) y) y) z)
(*.f64 z (-.f64 t x))
(* (/ (- t x) y) y)
(-.f64 t x)
(/ (- t x) y)
(/.f64 (-.f64 t x) y)
(- t x)
(-.f64 t x)
t
y
z
(+ x (* (/ (* y z) y) (/ 1 (/ 1 (- t x)))))
(+.f64 x (*.f64 z (-.f64 t x)))
x
(* (/ (* y z) y) (/ 1 (/ 1 (- t x))))
(*.f64 z (-.f64 t x))
(/ (* y z) y)
z
(* y z)
(*.f64 y z)
y
z
(/ 1 (/ 1 (- t x)))
(-.f64 t x)
1
#s(literal 1 binary64)
(/ 1 (- t x))
(/.f64 #s(literal 1 binary64) (-.f64 t x))
(- t x)
(-.f64 t x)
t
(/ (- (* (/ (- t x) y) (* (* y z) (/ (* y z) (/ y (- t x))))) (* x x)) (- (/ (* y z) (/ y (- t x))) x))
(/.f64 (-.f64 (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (*.f64 z z))) (*.f64 x x)) (-.f64 (*.f64 z (-.f64 t x)) x))
(- (* (/ (- t x) y) (* (* y z) (/ (* y z) (/ y (- t x))))) (* x x))
(-.f64 (*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (*.f64 z z))) (*.f64 x x))
(* (/ (- t x) y) (* (* y z) (/ (* y z) (/ y (- t x)))))
(*.f64 (-.f64 t x) (*.f64 (-.f64 t x) (*.f64 z z)))
(/ (- t x) y)
(/.f64 (-.f64 t x) y)
(- t x)
(-.f64 t x)
t
x
y
(* (* y z) (/ (* y z) (/ y (- t x))))
(*.f64 (*.f64 y z) (*.f64 z (-.f64 t x)))
(* y z)
(*.f64 y z)
z
(/ (* y z) (/ y (- t x)))
(*.f64 z (-.f64 t x))
(/ y (- t x))
(/.f64 y (-.f64 t x))
(* x x)
(*.f64 x x)
(- (/ (* y z) (/ y (- t x))) x)
(-.f64 (*.f64 z (-.f64 t x)) x)

localize183.0ms (1.5%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy86.7%
(-.f64 (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (*.f64 y z) (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))) (*.f64 x x))
✓accuracy85.1%
(*.f64 (/.f64 (-.f64 t x) y) (*.f64 (*.f64 y z) (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))))
✓accuracy72.0%
(/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))
✓accuracy49.5%
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (*.f64 y z) (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
✓accuracy100.0%
(*.f64 (/.f64 (*.f64 y z) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x))))
✓accuracy100.0%
(+.f64 x (*.f64 (/.f64 (*.f64 y z) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x)))))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x)))
✓accuracy76.7%
(/.f64 (*.f64 y z) y)
✓accuracy100.0%
(/.f64 (-.f64 t x) y)
✓accuracy100.0%
(*.f64 (*.f64 (/.f64 (-.f64 t x) y) y) z)
✓accuracy100.0%
(+.f64 x (*.f64 (*.f64 (/.f64 (-.f64 t x) y) y) z))
✓accuracy76.3%
(*.f64 (/.f64 (-.f64 t x) y) y)
✓accuracy100.0%
(*.f64 z t)
✓accuracy100.0%
(tanh.f64 (/.f64 t y))
✓accuracy100.0%
(tanh.f64 (/.f64 x y))
✓accuracy100.0%
(+.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x)
✓accuracy89.6%
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))
Results
72.0ms208×0valid
44.0ms44×2valid
2.0ms2×3valid
2.0ms1×5exit
1.0ms1×1valid
Compiler

Compiled 296 to 33 computations (88.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-div: 23.0ms (36.2% of total)
ival-mult: 18.0ms (28.4% of total)
backward-pass: 7.0ms (11% of total)
ival-sub: 6.0ms (9.5% of total)
ival-add: 5.0ms (7.9% of total)
ival-tanh: 4.0ms (6.3% of total)
const: 0.0ms (0% of total)

series72.0ms (0.6%)

Counts
19 → 756
Calls
Call 1
Inputs
#<alt (+ (* (- (tanh (/ t y)) (tanh (/ x y))) (* y z)) x)>
#<alt (* (- (tanh (/ t y)) (tanh (/ x y))) (* y z))>
#<alt (- (tanh (/ t y)) (tanh (/ x y)))>
#<alt (tanh (/ t y))>
#<alt (* z t)>
#<alt (+ x (* (* (/ (- t x) y) y) z))>
#<alt (* (* (/ (- t x) y) y) z)>
#<alt (* (/ (- t x) y) y)>
#<alt (/ (- t x) y)>
#<alt (+ x (* (/ (* y z) y) (/ 1 (/ 1 (- t x)))))>
#<alt (* (/ (* y z) y) (/ 1 (/ 1 (- t x))))>
#<alt (/ (* y z) y)>
#<alt (/ 1 (/ 1 (- t x)))>
#<alt (/ (- (* (/ (- t x) y) (* (* y z) (/ (* y z) (/ y (- t x))))) (* x x)) (- (/ (* y z) (/ y (- t x))) x))>
#<alt (- (* (/ (- t x) y) (* (* y z) (/ (* y z) (/ y (- t x))))) (* x x))>
#<alt (* (/ (- t x) y) (* (* y z) (/ (* y z) (/ y (- t x)))))>
#<alt (* (* y z) (/ (* y z) (/ y (- t x))))>
#<alt (tanh (/ x y))>
#<alt (/ (* y z) (/ y (- t x)))>
Outputs
#<alt (+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))>
#<alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))>
#<alt (+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))>
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#<alt (* x (- (+ (* -2 (/ (* t (pow z 2)) (* x (- (* -1 z) 1)))) (+ (/ (* (pow t 2) (pow z 2)) (* (pow x 2) (- (* -1 z) 1))) (/ (pow z 2) (- (* -1 z) 1)))) (+ (/ 1 (- (* -1 z) 1)) (+ (/ (* t (* z (- (* -2 (/ (* t (pow z 2)) (- (* -1 z) 1))) (/ (* t (* z (- (pow z 2) 1))) (pow (- (* -1 z) 1) 2))))) (* (pow x 2) (- (* -1 z) 1))) (/ (* t (* z (- (pow z 2) 1))) (* x (pow (- (* -1 z) 1) 2)))))))>
#<alt (* x (- (+ (* -2 (/ (* t (pow z 2)) (* x (- (* -1 z) 1)))) (+ (* -1 (/ (* t (* z (- (/ (* (pow t 2) (pow z 2)) (- (* -1 z) 1)) (/ (* t (* z (- (* -2 (/ (* t (pow z 2)) (- (* -1 z) 1))) (/ (* t (* z (- (pow z 2) 1))) (pow (- (* -1 z) 1) 2))))) (- (* -1 z) 1))))) (* (pow x 3) (- (* -1 z) 1)))) (+ (/ (* (pow t 2) (pow z 2)) (* (pow x 2) (- (* -1 z) 1))) (/ (pow z 2) (- (* -1 z) 1))))) (+ (/ 1 (- (* -1 z) 1)) (+ (/ (* t (* z (- (* -2 (/ (* t (pow z 2)) (- (* -1 z) 1))) (/ (* t (* z (- (pow z 2) 1))) (pow (- (* -1 z) 1) 2))))) (* (pow x 2) (- (* -1 z) 1))) (/ (* t (* z (- (pow z 2) 1))) (* x (pow (- (* -1 z) 1) 2)))))))>
#<alt (* -1 (/ (* x (- (pow z 2) 1)) (+ 1 z)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* 2 (/ (* t (pow z 2)) (+ 1 z))) (/ (* t (* z (- (pow z 2) 1))) (pow (+ 1 z) 2))) x)) (/ (pow z 2) (+ 1 z))) (/ 1 (+ 1 z)))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow t 2) (pow z 2)) (+ 1 z)) (/ (* t (* z (- (* 2 (/ (* t (pow z 2)) (+ 1 z))) (/ (* t (* z (- (pow z 2) 1))) (pow (+ 1 z) 2))))) (+ 1 z))) x)) (* 2 (/ (* t (pow z 2)) (+ 1 z)))) (/ (* t (* z (- (pow z 2) 1))) (pow (+ 1 z) 2))) x)) (/ (pow z 2) (+ 1 z))) (/ 1 (+ 1 z)))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (/ (* t (* z (- (/ (* (pow t 2) (pow z 2)) (+ 1 z)) (/ (* t (* z (- (* 2 (/ (* t (pow z 2)) (+ 1 z))) (/ (* t (* z (- (pow z 2) 1))) (pow (+ 1 z) 2))))) (+ 1 z))))) (* x (+ 1 z))) (/ (* (pow t 2) (pow z 2)) (+ 1 z))) (/ (* t (* z (- (* 2 (/ (* t (pow z 2)) (+ 1 z))) (/ (* t (* z (- (pow z 2) 1))) (pow (+ 1 z) 2))))) (+ 1 z))) x)) (* 2 (/ (* t (pow z 2)) (+ 1 z)))) (/ (* t (* z (- (pow z 2) 1))) (pow (+ 1 z) 2))) x)) (/ (pow z 2) (+ 1 z))) (/ 1 (+ 1 z)))))>
#<alt (/ (- (* (pow z 2) (pow (- t x) 2)) (pow x 2)) (- (* z (- t x)) x))>
#<alt (/ (- (* (pow z 2) (pow (- t x) 2)) (pow x 2)) (- (* z (- t x)) x))>
#<alt (/ (- (* (pow z 2) (pow (- t x) 2)) (pow x 2)) (- (* z (- t x)) x))>
#<alt (/ (- (* (pow z 2) (pow (- t x) 2)) (pow x 2)) (- (* z (- t x)) x))>
#<alt (/ (- (* (pow z 2) (pow (- t x) 2)) (pow x 2)) (- (* z (- t x)) x))>
#<alt (/ (- (* (pow z 2) (pow (- t x) 2)) (pow x 2)) (- (* z (- t x)) x))>
#<alt (/ (- (* (pow z 2) (pow (- t x) 2)) (pow x 2)) (- (* z (- t x)) x))>
#<alt (/ (- (* (pow z 2) (pow (- t x) 2)) (pow x 2)) (- (* z (- t x)) x))>
#<alt (/ (- (* (pow z 2) (pow (- t x) 2)) (pow x 2)) (- (* z (- t x)) x))>
#<alt (/ (- (* (pow z 2) (pow (- t x) 2)) (pow x 2)) (- (* z (- t x)) x))>
#<alt (/ (- (* (pow z 2) (pow (- t x) 2)) (pow x 2)) (- (* z (- t x)) x))>
#<alt (/ (- (* (pow z 2) (pow (- t x) 2)) (pow x 2)) (- (* z (- t x)) x))>
#<alt x>
#<alt (+ x (* z (- t x)))>
#<alt (+ x (* z (- t x)))>
#<alt (+ x (* z (- t x)))>
#<alt (* z (- t x))>
#<alt (* z (- (+ t (/ x z)) x))>
#<alt (* z (- (+ t (/ x z)) x))>
#<alt (* z (- (+ t (/ x z)) x))>
#<alt (* z (- t x))>
#<alt (* -1 (* z (+ (* -1 (- t x)) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (- t x)) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (- t x)) (* -1 (/ x z)))))>
#<alt (- (* (pow x 2) (pow z 2)) (pow x 2))>
#<alt (- (+ (* -2 (* t (* x (pow z 2)))) (* (pow x 2) (pow z 2))) (pow x 2))>
#<alt (- (+ (* t (+ (* -2 (* x (pow z 2))) (* t (pow z 2)))) (* (pow x 2) (pow z 2))) (pow x 2))>
#<alt (- (+ (* t (+ (* -2 (* x (pow z 2))) (* t (pow z 2)))) (* (pow x 2) (pow z 2))) (pow x 2))>
#<alt (* (pow t 2) (pow z 2))>
#<alt (* (pow t 2) (+ (* -2 (/ (* x (pow z 2)) t)) (pow z 2)))>
#<alt (* (pow t 2) (- (+ (* -2 (/ (* x (pow z 2)) t)) (+ (/ (* (pow x 2) (pow z 2)) (pow t 2)) (pow z 2))) (/ (pow x 2) (pow t 2))))>
#<alt (* (pow t 2) (- (+ (* -2 (/ (* x (pow z 2)) t)) (+ (/ (* (pow x 2) (pow z 2)) (pow t 2)) (pow z 2))) (/ (pow x 2) (pow t 2))))>
#<alt (* (pow t 2) (pow z 2))>
#<alt (* (pow t 2) (+ (* -2 (/ (* x (pow z 2)) t)) (pow z 2)))>
#<alt (* (pow t 2) (+ (* -1 (/ (+ (* -1 (/ (- (* (pow x 2) (pow z 2)) (pow x 2)) t)) (* 2 (* x (pow z 2)))) t)) (pow z 2)))>
#<alt (* (pow t 2) (+ (* -1 (/ (+ (* -1 (/ (- (* (pow x 2) (pow z 2)) (pow x 2)) t)) (* 2 (* x (pow z 2)))) t)) (pow z 2)))>
#<alt (* (pow t 2) (pow z 2))>
#<alt (+ (* -2 (* t (* x (pow z 2)))) (* (pow t 2) (pow z 2)))>
#<alt (+ (* x (+ (* -2 (* t (pow z 2))) (* x (- (pow z 2) 1)))) (* (pow t 2) (pow z 2)))>
#<alt (+ (* x (+ (* -2 (* t (pow z 2))) (* x (- (pow z 2) 1)))) (* (pow t 2) (pow z 2)))>
#<alt (* (pow x 2) (- (pow z 2) 1))>
#<alt (* (pow x 2) (- (+ (* -2 (/ (* t (pow z 2)) x)) (pow z 2)) 1))>
#<alt (* (pow x 2) (- (+ (* -2 (/ (* t (pow z 2)) x)) (+ (/ (* (pow t 2) (pow z 2)) (pow x 2)) (pow z 2))) 1))>
#<alt (* (pow x 2) (- (+ (* -2 (/ (* t (pow z 2)) x)) (+ (/ (* (pow t 2) (pow z 2)) (pow x 2)) (pow z 2))) 1))>
#<alt (* (pow x 2) (- (pow z 2) 1))>
#<alt (* (pow x 2) (- (+ (* -2 (/ (* t (pow z 2)) x)) (pow z 2)) 1))>
#<alt (* (pow x 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow t 2) (pow z 2)) x)) (* 2 (* t (pow z 2)))) x)) (pow z 2)) 1))>
#<alt (* (pow x 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow t 2) (pow z 2)) x)) (* 2 (* t (pow z 2)))) x)) (pow z 2)) 1))>
#<alt (- (* (pow z 2) (pow (- t x) 2)) (pow x 2))>
#<alt (- (* (pow z 2) (pow (- t x) 2)) (pow x 2))>
#<alt (- (* (pow z 2) (pow (- t x) 2)) (pow x 2))>
#<alt (- (* (pow z 2) (pow (- t x) 2)) (pow x 2))>
#<alt (- (* (pow z 2) (pow (- t x) 2)) (pow x 2))>
#<alt (- (* (pow z 2) (pow (- t x) 2)) (pow x 2))>
#<alt (- (* (pow z 2) (pow (- t x) 2)) (pow x 2))>
#<alt (- (* (pow z 2) (pow (- t x) 2)) (pow x 2))>
#<alt (- (* (pow z 2) (pow (- t x) 2)) (pow x 2))>
#<alt (- (* (pow z 2) (pow (- t x) 2)) (pow x 2))>
#<alt (- (* (pow z 2) (pow (- t x) 2)) (pow x 2))>
#<alt (- (* (pow z 2) (pow (- t x) 2)) (pow x 2))>
#<alt (* -1 (pow x 2))>
#<alt (- (* (pow z 2) (pow (- t x) 2)) (pow x 2))>
#<alt (- (* (pow z 2) (pow (- t x) 2)) (pow x 2))>
#<alt (- (* (pow z 2) (pow (- t x) 2)) (pow x 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (+ (* -1 (/ (pow x 2) (pow z 2))) (pow (- t x) 2)))>
#<alt (* (pow z 2) (+ (* -1 (/ (pow x 2) (pow z 2))) (pow (- t x) 2)))>
#<alt (* (pow z 2) (+ (* -1 (/ (pow x 2) (pow z 2))) (pow (- t x) 2)))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (+ (* -1 (/ (pow x 2) (pow z 2))) (pow (- t x) 2)))>
#<alt (* (pow z 2) (+ (* -1 (/ (pow x 2) (pow z 2))) (pow (- t x) 2)))>
#<alt (* (pow z 2) (+ (* -1 (/ (pow x 2) (pow z 2))) (pow (- t x) 2)))>
#<alt (* (pow x 2) (pow z 2))>
#<alt (+ (* -2 (* t (* x (pow z 2)))) (* (pow x 2) (pow z 2)))>
#<alt (+ (* t (+ (* -2 (* x (pow z 2))) (* t (pow z 2)))) (* (pow x 2) (pow z 2)))>
#<alt (+ (* t (+ (* -2 (* x (pow z 2))) (* t (pow z 2)))) (* (pow x 2) (pow z 2)))>
#<alt (* (pow t 2) (pow z 2))>
#<alt (* (pow t 2) (+ (* -2 (/ (* x (pow z 2)) t)) (pow z 2)))>
#<alt (* (pow t 2) (+ (* -2 (/ (* x (pow z 2)) t)) (+ (/ (* (pow x 2) (pow z 2)) (pow t 2)) (pow z 2))))>
#<alt (* (pow t 2) (+ (* -2 (/ (* x (pow z 2)) t)) (+ (/ (* (pow x 2) (pow z 2)) (pow t 2)) (pow z 2))))>
#<alt (* (pow t 2) (pow z 2))>
#<alt (* (pow t 2) (+ (* -2 (/ (* x (pow z 2)) t)) (pow z 2)))>
#<alt (* (pow t 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow z 2)) t)) (* 2 (* x (pow z 2)))) t)) (pow z 2)))>
#<alt (* (pow t 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (pow z 2)) t)) (* 2 (* x (pow z 2)))) t)) (pow z 2)))>
#<alt (* (pow t 2) (pow z 2))>
#<alt (+ (* -2 (* t (* x (pow z 2)))) (* (pow t 2) (pow z 2)))>
#<alt (+ (* x (+ (* -2 (* t (pow z 2))) (* x (pow z 2)))) (* (pow t 2) (pow z 2)))>
#<alt (+ (* x (+ (* -2 (* t (pow z 2))) (* x (pow z 2)))) (* (pow t 2) (pow z 2)))>
#<alt (* (pow x 2) (pow z 2))>
#<alt (* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (pow z 2)))>
#<alt (* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (+ (/ (* (pow t 2) (pow z 2)) (pow x 2)) (pow z 2))))>
#<alt (* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (+ (/ (* (pow t 2) (pow z 2)) (pow x 2)) (pow z 2))))>
#<alt (* (pow x 2) (pow z 2))>
#<alt (* (pow x 2) (+ (* -2 (/ (* t (pow z 2)) x)) (pow z 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow t 2) (pow z 2)) x)) (* 2 (* t (pow z 2)))) x)) (pow z 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow t 2) (pow z 2)) x)) (* 2 (* t (pow z 2)))) x)) (pow z 2)))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* (pow z 2) (pow (- t x) 2))>
#<alt (* y (* (pow z 2) (- t x)))>
#<alt (* y (* (pow z 2) (- t x)))>
#<alt (* y (* (pow z 2) (- t x)))>
#<alt (* y (* (pow z 2) (- t x)))>
#<alt (* y (* (pow z 2) (- t x)))>
#<alt (* y (* (pow z 2) (- t x)))>
#<alt (* y (* (pow z 2) (- t x)))>
#<alt (* y (* (pow z 2) (- t x)))>
#<alt (* y (* (pow z 2) (- t x)))>
#<alt (* y (* (pow z 2) (- t x)))>
#<alt (* y (* (pow z 2) (- t x)))>
#<alt (* y (* (pow z 2) (- t x)))>
#<alt (* y (* (pow z 2) (- t x)))>
#<alt (* y (* (pow z 2) (- t x)))>
#<alt (* y (* (pow z 2) (- t x)))>
#<alt (* y (* (pow z 2) (- t x)))>
#<alt (* y (* (pow z 2) (- t x)))>
#<alt (* y (* (pow z 2) (- t x)))>
#<alt (* y (* (pow z 2) (- t x)))>
#<alt (* y (* (pow z 2) (- t x)))>
#<alt (* y (* (pow z 2) (- t x)))>
#<alt (* y (* (pow z 2) (- t x)))>
#<alt (* y (* (pow z 2) (- t x)))>
#<alt (* y (* (pow z 2) (- t x)))>
#<alt (* -1 (* x (* y (pow z 2))))>
#<alt (+ (* -1 (* x (* y (pow z 2)))) (* t (* y (pow z 2))))>
#<alt (+ (* -1 (* x (* y (pow z 2)))) (* t (* y (pow z 2))))>
#<alt (+ (* -1 (* x (* y (pow z 2)))) (* t (* y (pow z 2))))>
#<alt (* t (* y (pow z 2)))>
#<alt (* t (+ (* -1 (/ (* x (* y (pow z 2))) t)) (* y (pow z 2))))>
#<alt (* t (+ (* -1 (/ (* x (* y (pow z 2))) t)) (* y (pow z 2))))>
#<alt (* t (+ (* -1 (/ (* x (* y (pow z 2))) t)) (* y (pow z 2))))>
#<alt (* t (* y (pow z 2)))>
#<alt (* -1 (* t (+ (* -1 (* y (pow z 2))) (/ (* x (* y (pow z 2))) t))))>
#<alt (* -1 (* t (+ (* -1 (* y (pow z 2))) (/ (* x (* y (pow z 2))) t))))>
#<alt (* -1 (* t (+ (* -1 (* y (pow z 2))) (/ (* x (* y (pow z 2))) t))))>
#<alt (* t (* y (pow z 2)))>
#<alt (+ (* -1 (* x (* y (pow z 2)))) (* t (* y (pow z 2))))>
#<alt (+ (* -1 (* x (* y (pow z 2)))) (* t (* y (pow z 2))))>
#<alt (+ (* -1 (* x (* y (pow z 2)))) (* t (* y (pow z 2))))>
#<alt (* -1 (* x (* y (pow z 2))))>
#<alt (* x (+ (* -1 (* y (pow z 2))) (/ (* t (* y (pow z 2))) x)))>
#<alt (* x (+ (* -1 (* y (pow z 2))) (/ (* t (* y (pow z 2))) x)))>
#<alt (* x (+ (* -1 (* y (pow z 2))) (/ (* t (* y (pow z 2))) x)))>
#<alt (* -1 (* x (* y (pow z 2))))>
#<alt (* -1 (* x (+ (* -1 (/ (* t (* y (pow z 2))) x)) (* y (pow z 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (* t (* y (pow z 2))) x)) (* y (pow z 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (* t (* y (pow z 2))) x)) (* y (pow z 2)))))>
#<alt (/ x y)>
#<alt (* x (+ (* -1/3 (/ (pow x 2) (pow y 3))) (/ 1 y)))>
#<alt (* x (+ (* (pow x 2) (- (* 2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))>
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -17/315 (/ (pow x 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ x y)>
#<alt (/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)>
#<alt (/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) (* 1/2 (/ (pow x 3) (pow y 2)))) y)>
#<alt (/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))))) (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (* 1/2 (/ (pow x 3) (pow y 2)))))) y)>
#<alt (/ x y)>
#<alt (* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* -1 (* x z))>
#<alt (+ (* -1 (* x z)) (* t z))>
#<alt (+ (* -1 (* x z)) (* t z))>
#<alt (+ (* -1 (* x z)) (* t z))>
#<alt (* t z)>
#<alt (* t (+ z (* -1 (/ (* x z) t))))>
#<alt (* t (+ z (* -1 (/ (* x z) t))))>
#<alt (* t (+ z (* -1 (/ (* x z) t))))>
#<alt (* t z)>
#<alt (* -1 (* t (+ (* -1 z) (/ (* x z) t))))>
#<alt (* -1 (* t (+ (* -1 z) (/ (* x z) t))))>
#<alt (* -1 (* t (+ (* -1 z) (/ (* x z) t))))>
#<alt (* t z)>
#<alt (+ (* -1 (* x z)) (* t z))>
#<alt (+ (* -1 (* x z)) (* t z))>
#<alt (+ (* -1 (* x z)) (* t z))>
#<alt (* -1 (* x z))>
#<alt (* x (+ (* -1 z) (/ (* t z) x)))>
#<alt (* x (+ (* -1 z) (/ (* t z) x)))>
#<alt (* x (+ (* -1 z) (/ (* t z) x)))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x (+ z (* -1 (/ (* t z) x)))))>
#<alt (* -1 (* x (+ z (* -1 (/ (* t z) x)))))>
#<alt (* -1 (* x (+ z (* -1 (/ (* t z) x)))))>
Calls

189 calls:

TimeVariablePointExpression
9.0ms
x
@0
(/ (- (* (/ (- t x) y) (* (* y z) (/ (* y z) (/ y (- t x))))) (* x x)) (- (/ (* y z) (/ y (- t x))) x))
1.0ms
y
@0
(/ (- (* (/ (- t x) y) (* (* y z) (/ (* y z) (/ y (- t x))))) (* x x)) (- (/ (* y z) (/ y (- t x))) x))
1.0ms
x
@inf
(/ (- (* (/ (- t x) y) (* (* y z) (/ (* y z) (/ y (- t x))))) (* x x)) (- (/ (* y z) (/ y (- t x))) x))
1.0ms
t
@0
(/ (- (* (/ (- t x) y) (* (* y z) (/ (* y z) (/ y (- t x))))) (* x x)) (- (/ (* y z) (/ y (- t x))) x))
1.0ms
x
@-inf
(/ (- (* (/ (- t x) y) (* (* y z) (/ (* y z) (/ y (- t x))))) (* x x)) (- (/ (* y z) (/ y (- t x))) x))

rewrite462.0ms (3.9%)

Algorithm
1×batch-egg-rewrite
Rules
3440×/-lowering-/.f32
3440×/-lowering-/.f64
2986×*-lowering-*.f32
2986×*-lowering-*.f64
2242×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032185
1259165
22753122
09090122
Stop Event
1×iter limit
1×node limit
Counts
19 → 1344
Calls
Call 1
Inputs
(+ (* (- (tanh (/ t y)) (tanh (/ x y))) (* y z)) x)
(* (- (tanh (/ t y)) (tanh (/ x y))) (* y z))
(- (tanh (/ t y)) (tanh (/ x y)))
(tanh (/ t y))
(* z t)
(+ x (* (* (/ (- t x) y) y) z))
(* (* (/ (- t x) y) y) z)
(* (/ (- t x) y) y)
(/ (- t x) y)
(+ x (* (/ (* y z) y) (/ 1 (/ 1 (- t x)))))
(* (/ (* y z) y) (/ 1 (/ 1 (- t x))))
(/ (* y z) y)
(/ 1 (/ 1 (- t x)))
(/ (- (* (/ (- t x) y) (* (* y z) (/ (* y z) (/ y (- t x))))) (* x x)) (- (/ (* y z) (/ y (- t x))) x))
(- (* (/ (- t x) y) (* (* y z) (/ (* y z) (/ y (- t x))))) (* x x))
(* (/ (- t x) y) (* (* y z) (/ (* y z) (/ y (- t x)))))
(* (* y z) (/ (* y z) (/ y (- t x))))
(tanh (/ x y))
(/ (* y z) (/ y (- t x)))
Outputs
(+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)))
(+.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x)
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x)))
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z x)
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))))) (+.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x) (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))))) (+.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x) (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) (+.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 (*.f64 y z) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 (*.f64 y z) x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)))))
(pow.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))))) (+.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x) (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x)))
(+.f64 (*.f64 (*.f64 y z) (tanh.f64 (/.f64 t y))) (*.f64 (*.f64 y z) (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y)))))
(+.f64 (*.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z)) (*.f64 (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y))) (*.f64 y z)))
(fma.f64 (tanh.f64 (/.f64 t y)) (*.f64 y z) (*.f64 (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y))) (*.f64 y z)))
(fma.f64 (*.f64 y z) (tanh.f64 (/.f64 t y)) (*.f64 (*.f64 y z) (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y)))))
(/.f64 (*.f64 (*.f64 y z) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
(/.f64 (*.f64 (*.f64 y z) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)))) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(/.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) (*.f64 y z)) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))) (*.f64 y z)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(/.f64 (neg.f64 (*.f64 (*.f64 y z) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 y z) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))))) (neg.f64 (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) (*.f64 y z))) (neg.f64 (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))) (*.f64 y z))) (neg.f64 (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(*.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))
(*.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(*.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z)
(*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y)
(+.f64 (tanh.f64 (/.f64 t y)) (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y))))
(+.f64 (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y))) (tanh.f64 (/.f64 t y)))
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
(-.f64 (/.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (/.f64 (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))
(-.f64 (/.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) (/.f64 (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y)))) (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y))))
(fma.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 y t))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y t))))) (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y))))
(fma.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y t)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y t))))) (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y))))
(fma.f64 #s(literal -1 binary64) (tanh.f64 (/.f64 x y)) (tanh.f64 (/.f64 t y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 (tanh.f64 (/.f64 t y)) (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y)))))))
(/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))) (+.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))) (-.f64 (tanh.f64 (/.f64 t y)) (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 t y))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 t y))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))))
(/.f64 (-.f64 (*.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 y t))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y t)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y t)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))
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(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))))) (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))))
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x)))) (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))
(*.f64 (expm1.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 2 binary64) (/.f64 y x))))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))))
(tanh.f64 (/.f64 x y))
(+.f64 (*.f64 (/.f64 (*.f64 y z) y) t) (*.f64 (/.f64 (*.f64 y z) y) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (*.f64 t (/.f64 (*.f64 y z) y)) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 y z) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x)))) #s(literal -1 binary64)))
(fma.f64 t (/.f64 (*.f64 y z) y) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 y z) y)))
(fma.f64 (/.f64 (*.f64 y z) y) t (*.f64 (/.f64 (*.f64 y z) y) (-.f64 #s(literal 0 binary64) x)))
(neg.f64 (/.f64 (*.f64 y z) (-.f64 #s(literal 0 binary64) (/.f64 y (-.f64 t x)))))
(/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))
(/.f64 (-.f64 t x) (/.f64 y (*.f64 y z)))
(/.f64 (/.f64 (*.f64 y z) y) (/.f64 #s(literal 1 binary64) (-.f64 t x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 t x)) (/.f64 y (*.f64 y z))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (*.f64 y z)) (/.f64 #s(literal 1 binary64) (-.f64 t x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 t x)) (/.f64 (*.f64 y z) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x))) #s(literal 1 binary64)))
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(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 t x)) (/.f64 y (*.f64 y z)))))
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(/.f64 (*.f64 (*.f64 y z) (-.f64 (*.f64 t t) (*.f64 x x))) (*.f64 y (+.f64 t x)))
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(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 t t) (*.f64 x x))) (*.f64 (/.f64 y (*.f64 y z)) (+.f64 t x)))
(/.f64 (*.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 y (-.f64 t x))))
(/.f64 (*.f64 (*.f64 y (neg.f64 z)) #s(literal -1 binary64)) (/.f64 y (-.f64 t x)))
(/.f64 (*.f64 (*.f64 y (neg.f64 z)) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))))
(/.f64 (*.f64 (*.f64 y (neg.f64 z)) (-.f64 (*.f64 t t) (*.f64 x x))) (*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 t x)))
(/.f64 (neg.f64 (/.f64 (*.f64 y z) y)) (/.f64 #s(literal -1 binary64) (-.f64 t x)))
(/.f64 (neg.f64 (*.f64 y (neg.f64 z))) (/.f64 y (-.f64 t x)))
(/.f64 (neg.f64 (*.f64 y (neg.f64 z))) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 t x)) y)))
(/.f64 (neg.f64 (*.f64 y (neg.f64 z))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 t x)) (-.f64 #s(literal 0 binary64) y))))
(/.f64 (neg.f64 (*.f64 y (*.f64 z (-.f64 t x)))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (/.f64 (/.f64 (*.f64 y z) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 t x)))
(/.f64 (*.f64 (*.f64 y z) (-.f64 #s(literal 0 binary64) (-.f64 t x))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (-.f64 t x) (*.f64 y (neg.f64 z))) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (/.f64 (*.f64 y z) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 t x)))
(/.f64 (*.f64 (/.f64 (*.f64 y z) y) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))
(/.f64 (*.f64 (/.f64 (*.f64 y z) y) (-.f64 (*.f64 t t) (*.f64 x x))) (+.f64 t x))
(/.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) y)) (/.f64 #s(literal -1 binary64) (-.f64 t x)))
(/.f64 (*.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 y z) y)) (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))
(/.f64 (*.f64 (-.f64 (*.f64 t t) (*.f64 x x)) (/.f64 (*.f64 y z) y)) (+.f64 t x))
(/.f64 (*.f64 (*.f64 y (neg.f64 z)) (-.f64 t x)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 t x)) (*.f64 y z)) (-.f64 #s(literal 0 binary64) y))
(/.f64 (*.f64 (*.f64 y (-.f64 t x)) z) y)
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (/.f64 y (*.f64 y z)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 t t) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 t x) (/.f64 y (*.f64 y z)))))
(/.f64 (neg.f64 (*.f64 (*.f64 y (neg.f64 z)) #s(literal 1 binary64))) (/.f64 y (-.f64 t x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 y (neg.f64 z)))) (-.f64 #s(literal 0 binary64) (/.f64 y (-.f64 t x))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 z)))) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 t x)) (-.f64 #s(literal 0 binary64) y))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 y (neg.f64 z)))) (-.f64 #s(literal 0 binary64) (/.f64 y (-.f64 t x))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (*.f64 y z))) (neg.f64 (*.f64 (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) y)))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (*.f64 y (neg.f64 z)))) (neg.f64 (*.f64 (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (-.f64 #s(literal 0 binary64) y))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 t t) (*.f64 x x)) (*.f64 y z))) (neg.f64 (*.f64 (+.f64 t x) y)))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 t t) (*.f64 x x)) (*.f64 y (neg.f64 z)))) (neg.f64 (*.f64 (+.f64 t x) (-.f64 #s(literal 0 binary64) y))))
(/.f64 (neg.f64 (*.f64 (*.f64 y z) #s(literal -1 binary64))) (/.f64 y (-.f64 t x)))
(/.f64 (neg.f64 (*.f64 (*.f64 y z) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) (neg.f64 (*.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))))
(/.f64 (neg.f64 (*.f64 (*.f64 y z) (-.f64 (*.f64 t t) (*.f64 x x)))) (neg.f64 (*.f64 y (+.f64 t x))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) (neg.f64 (*.f64 (/.f64 y (*.f64 y z)) (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 t t) (*.f64 x x)))) (neg.f64 (*.f64 (/.f64 y (*.f64 y z)) (+.f64 t x))))
(/.f64 (neg.f64 (*.f64 (*.f64 y (neg.f64 z)) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) (/.f64 y (-.f64 t x))))
(/.f64 (neg.f64 (*.f64 (*.f64 y (neg.f64 z)) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))))
(/.f64 (neg.f64 (*.f64 (*.f64 y (neg.f64 z)) (-.f64 (*.f64 t t) (*.f64 x x)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 t x))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 y z) y))) (/.f64 #s(literal 1 binary64) (-.f64 t x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 y (*.f64 z (-.f64 t x))))) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 (neg.f64 (/.f64 (/.f64 (*.f64 y z) y) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 t x)))
(/.f64 (neg.f64 (*.f64 (*.f64 y z) (-.f64 #s(literal 0 binary64) (-.f64 t x)))) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 (neg.f64 (*.f64 (-.f64 t x) (*.f64 y (neg.f64 z)))) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 y z) y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 t x)))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 y z) y) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 y z) y) (-.f64 (*.f64 t t) (*.f64 x x)))) (neg.f64 (+.f64 t x)))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 y z) y))) (/.f64 #s(literal 1 binary64) (-.f64 t x)))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 y z) y))) (neg.f64 (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 t t) (*.f64 x x)) (/.f64 (*.f64 y z) y))) (neg.f64 (+.f64 t x)))
(/.f64 (neg.f64 (*.f64 (*.f64 y (neg.f64 z)) (-.f64 t x))) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 t x)) (*.f64 y z))) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(/.f64 (neg.f64 (*.f64 (*.f64 y (-.f64 t x)) z)) (-.f64 #s(literal 0 binary64) y))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 t x)) (/.f64 y (*.f64 y z))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 y (*.f64 y z)) (/.f64 #s(literal 1 binary64) (-.f64 t x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 t x)) (/.f64 (*.f64 y z) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 y (/.f64 z (/.f64 y (-.f64 t x))))
(*.f64 y (*.f64 (/.f64 (-.f64 t x) y) z))
(*.f64 z (-.f64 t x))
(*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y))
(*.f64 (-.f64 t x) z)
(*.f64 (-.f64 t x) (/.f64 (*.f64 y z) y))
(*.f64 (/.f64 (-.f64 t x) y) (*.f64 y z))
(*.f64 (/.f64 (-.f64 t x) y) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y z)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 y z) y) (-.f64 t x))
(*.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x)))
(*.f64 (*.f64 y (neg.f64 z)) (/.f64 #s(literal -1 binary64) (/.f64 y (-.f64 t x))))
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 t x)) (*.f64 y z)) #s(literal -1 binary64)))
(*.f64 (*.f64 y (-.f64 t x)) (/.f64 z y))
(*.f64 (*.f64 y (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y)
(*.f64 (/.f64 z y) (*.f64 y (-.f64 t x)))
(*.f64 (/.f64 z y) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 t x)) y) #s(literal -1 binary64)))
(*.f64 (/.f64 y y) (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x))))
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 z (/.f64 y (-.f64 t x))))
(*.f64 (/.f64 (*.f64 y z) #s(literal 1 binary64)) (/.f64 (-.f64 t x) y))
(*.f64 (/.f64 (/.f64 (*.f64 y z) y) #s(literal 1 binary64)) (-.f64 t x))
(*.f64 (/.f64 (*.f64 y z) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (-.f64 t x)))
(*.f64 (*.f64 (/.f64 (-.f64 t x) y) z) y)
(*.f64 (/.f64 (/.f64 (*.f64 y z) y) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 t x)))
(*.f64 (pow.f64 (/.f64 y y) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 t x)) z) #s(literal -1 binary64)))

simplify579.0ms (4.9%)

Algorithm
1×egg-herbie
Rules
4954×*-lowering-*.f32
4954×*-lowering-*.f64
4110×+-lowering-+.f64
4110×+-lowering-+.f32
1298×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
089316040
1326714086
0853914086
Stop Event
1×iter limit
1×node limit
Counts
756 → 756
Calls
Call 1
Inputs
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
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(* (pow x 2) (- (pow z 2) 1))
(* (pow x 2) (- (+ (* -2 (/ (* t (pow z 2)) x)) (pow z 2)) 1))
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(- (* (pow z 2) (pow (- t x) 2)) (pow x 2))
(- (* (pow z 2) (pow (- t x) 2)) (pow x 2))
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(* (pow z 2) (+ (* -1 (/ (pow x 2) (pow z 2))) (pow (- t x) 2)))
(* (pow x 2) (pow z 2))
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(/ x y)
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(* z (- t x))
(* z (- t x))
(* z (- t x))
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Outputs
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))
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(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+.f64 (+.f64 x (*.f64 z t)) (*.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))))))
(+ x (+ (* t (+ z (* -1/3 (/ (* (pow t 2) z) (pow y 2))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
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(+ x (+ (* t (+ z (* (pow t 2) (+ (* -1/3 (/ z (pow y 2))) (* 2/15 (/ (* (pow t 2) z) (pow y 4))))))) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
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(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
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(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
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(+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (+ (/ 1 (* (exp (/ t y)) (+ (exp (/ t y)) (/ 1 (exp (/ t y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 t y)) (+.f64 (exp.f64 (/.f64 t y)) (exp.f64 (-.f64 #s(literal 0 binary64) (/.f64 t y)))))) (+.f64 (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 t y) (/.f64 t y)))))))))
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(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y))
(/.f64 (-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 x (*.f64 x x)))) (neg.f64 y)) (neg.f64 y)) x) (neg.f64 y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/12 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))))) #s(literal 0 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))))) (neg.f64 y)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 x (*.f64 x x))))) (neg.f64 y)) y)) (neg.f64 y))
(* z (- t x))
(*.f64 z (-.f64 t x))
(* z (- t x))
(*.f64 z (-.f64 t x))
(* z (- t x))
(*.f64 z (-.f64 t x))
(* z (- t x))
(*.f64 z (-.f64 t x))
(* z (- t x))
(*.f64 z (-.f64 t x))
(* z (- t x))
(*.f64 z (-.f64 t x))
(* z (- t x))
(*.f64 z (-.f64 t x))
(* z (- t x))
(*.f64 z (-.f64 t x))
(* z (- t x))
(*.f64 z (-.f64 t x))
(* z (- t x))
(*.f64 z (-.f64 t x))
(* z (- t x))
(*.f64 z (-.f64 t x))
(* z (- t x))
(*.f64 z (-.f64 t x))
(* z (- t x))
(*.f64 z (-.f64 t x))
(* z (- t x))
(*.f64 z (-.f64 t x))
(* z (- t x))
(*.f64 z (-.f64 t x))
(* z (- t x))
(*.f64 z (-.f64 t x))
(* z (- t x))
(*.f64 z (-.f64 t x))
(* z (- t x))
(*.f64 z (-.f64 t x))
(* z (- t x))
(*.f64 z (-.f64 t x))
(* z (- t x))
(*.f64 z (-.f64 t x))
(* z (- t x))
(*.f64 z (-.f64 t x))
(* z (- t x))
(*.f64 z (-.f64 t x))
(* z (- t x))
(*.f64 z (-.f64 t x))
(* z (- t x))
(*.f64 z (-.f64 t x))
(* -1 (* x z))
(*.f64 x (-.f64 #s(literal 0 binary64) z))
(+ (* -1 (* x z)) (* t z))
(*.f64 z (-.f64 t x))
(+ (* -1 (* x z)) (* t z))
(*.f64 z (-.f64 t x))
(+ (* -1 (* x z)) (* t z))
(*.f64 z (-.f64 t x))
(* t z)
(*.f64 z t)
(* t (+ z (* -1 (/ (* x z) t))))
(*.f64 t (-.f64 z (/.f64 (*.f64 x z) t)))
(* t (+ z (* -1 (/ (* x z) t))))
(*.f64 t (-.f64 z (/.f64 (*.f64 x z) t)))
(* t (+ z (* -1 (/ (* x z) t))))
(*.f64 t (-.f64 z (/.f64 (*.f64 x z) t)))
(* t z)
(*.f64 z t)
(* -1 (* t (+ (* -1 z) (/ (* x z) t))))
(*.f64 (-.f64 #s(literal 0 binary64) t) (-.f64 (/.f64 (*.f64 x z) t) z))
(* -1 (* t (+ (* -1 z) (/ (* x z) t))))
(*.f64 (-.f64 #s(literal 0 binary64) t) (-.f64 (/.f64 (*.f64 x z) t) z))
(* -1 (* t (+ (* -1 z) (/ (* x z) t))))
(*.f64 (-.f64 #s(literal 0 binary64) t) (-.f64 (/.f64 (*.f64 x z) t) z))
(* t z)
(*.f64 z t)
(+ (* -1 (* x z)) (* t z))
(*.f64 z (-.f64 t x))
(+ (* -1 (* x z)) (* t z))
(*.f64 z (-.f64 t x))
(+ (* -1 (* x z)) (* t z))
(*.f64 z (-.f64 t x))
(* -1 (* x z))
(*.f64 x (-.f64 #s(literal 0 binary64) z))
(* x (+ (* -1 z) (/ (* t z) x)))
(*.f64 x (-.f64 (/.f64 (*.f64 z t) x) z))
(* x (+ (* -1 z) (/ (* t z) x)))
(*.f64 x (-.f64 (/.f64 (*.f64 z t) x) z))
(* x (+ (* -1 z) (/ (* t z) x)))
(*.f64 x (-.f64 (/.f64 (*.f64 z t) x) z))
(* -1 (* x z))
(*.f64 x (-.f64 #s(literal 0 binary64) z))
(* -1 (* x (+ z (* -1 (/ (* t z) x)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 z (/.f64 (*.f64 z t) x)))
(* -1 (* x (+ z (* -1 (/ (* t z) x)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 z (/.f64 (*.f64 z t) x)))
(* -1 (* x (+ z (* -1 (/ (* t z) x)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 z (/.f64 (*.f64 z t) x)))

eval383.0ms (3.2%)

Compiler

Compiled 74391 to 5124 computations (93.1% saved)

prune562.0ms (4.7%)

Pruning

35 alts after pruning (31 fresh and 4 done)

PrunedKeptTotal
New2369182387
Fresh81321
Picked325
Done022
Total2380352415
Accuracy
100.0%
Counts
2415 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶67.1%
(fma.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x)
66.0%
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x)
✓96.3%
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
27.2%
(/.f64 (-.f64 (/.f64 (*.f64 z (-.f64 t x)) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x)))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
27.3%
(/.f64 (-.f64 (/.f64 (*.f64 z (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
27.2%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x))))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
21.8%
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (*.f64 y z) (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))) (*.f64 x x)) (-.f64 (*.f64 (/.f64 z y) (*.f64 y (-.f64 t x))) x))
17.9%
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 t x) y) (/.f64 (-.f64 t x) y)) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
23.5%
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (+.f64 (*.f64 x x) (*.f64 (*.f64 z (-.f64 t x)) (-.f64 (*.f64 z (-.f64 t x)) x))))
▶20.2%
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
27.3%
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64))) (neg.f64 (*.f64 x (+.f64 z #s(literal 1 binary64)))))
60.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z (-.f64 t x)))))
✓90.7%
(+.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x)
60.8%
(+.f64 (*.f64 z (-.f64 t x)) x)
55.9%
(+.f64 x (/.f64 (-.f64 t x) (/.f64 y (*.f64 y z))))
53.1%
(+.f64 x (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y))
▶49.8%
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y))
29.7%
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x)))) (/.f64 (*.f64 y z) (+.f64 t x))))
60.7%
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))
55.9%
(+.f64 x (*.f64 (-.f64 t x) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y z))))
▶58.4%
(+.f64 x (*.f64 (*.f64 (/.f64 z y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x)))))
44.2%
(+.f64 x (*.f64 (*.f64 (/.f64 x (neg.f64 y)) y) z))
50.5%
(+.f64 x (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))) y) z))
41.7%
(+.f64 x (*.f64 (*.f64 (-.f64 (*.f64 t t) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) z))
66.0%
(+.f64 x (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z))
51.4%
(+.f64 x (*.f64 (*.f64 (*.f64 y (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) z))
66.0%
(+.f64 x (*.f64 (*.f64 z (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))) y))
42.3%
(+.f64 x (*.f64 (*.f64 y z) (/.f64 x (neg.f64 y))))
54.7%
(+.f64 x (*.f64 (*.f64 y z) (/.f64 t y)))
31.8%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y)))))))
61.0%
(+.f64 x (*.f64 z t))
32.4%
(*.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z (-.f64 t x)))))
✓17.4%
(*.f64 z t)
▶52.9%
(*.f64 x (-.f64 #s(literal 1 binary64) z))
✓62.4%
x
Compiler

Compiled 1381 to 776 computations (43.8% saved)

simplify201.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff256
(/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))
✓cost-diff256
(-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x)
✓cost-diff384
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64))))
✓cost-diff640
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
✓cost-diff256
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x)))
✓cost-diff256
(*.f64 (/.f64 z y) y)
✓cost-diff512
(*.f64 (*.f64 (/.f64 z y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x))))
✓cost-diff512
(+.f64 x (*.f64 (*.f64 (/.f64 z y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x)))))
✓cost-diff0
(/.f64 y (-.f64 t x))
✓cost-diff0
(/.f64 z (/.f64 y (-.f64 t x)))
✓cost-diff256
(*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y)
✓cost-diff256
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y))
✓cost-diff0
(-.f64 #s(literal 1 binary64) z)
✓cost-diff0
(*.f64 x (-.f64 #s(literal 1 binary64) z))
✓cost-diff0
(/.f64 t y)
✓cost-diff0
(-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))
✓cost-diff128
(*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y)
✓cost-diff6400
(fma.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x)
Rules
4548×*-lowering-*.f32
4548×*-lowering-*.f64
2898×+-lowering-+.f64
2898×+-lowering-+.f32
1272×distribute-lft-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
039256
1118252
2356220
31054207
43502205
08536205
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (* (- (/ t y) (tanh (/ x y))) y) z) x)
(* (- (/ t y) (tanh (/ x y))) y)
(- (/ t y) (tanh (/ x y)))
(/ t y)
t
y
(tanh (/ x y))
(/ x y)
x
z
(* x (- 1 z))
x
(- 1 z)
1
z
(+ x (* (/ z (/ y (- t x))) y))
x
(* (/ z (/ y (- t x))) y)
(/ z (/ y (- t x)))
z
(/ y (- t x))
y
(- t x)
t
(+ x (* (* (/ z y) y) (/ 1 (/ 1 (- t x)))))
x
(* (* (/ z y) y) (/ 1 (/ 1 (- t x))))
(* (/ z y) y)
(/ z y)
z
y
(/ 1 (/ 1 (- t x)))
1
(/ 1 (- t x))
(- t x)
t
(/ (+ (* -2 (* t (* x (* z z)))) (* (* x x) (+ (* z z) -1))) (- (/ (* y z) (/ y (- t x))) x))
(+ (* -2 (* t (* x (* z z)))) (* (* x x) (+ (* z z) -1)))
(* -2 (* t (* x (* z z))))
-2
(* t (* x (* z z)))
t
(* x (* z z))
x
(* z z)
z
(* (* x x) (+ (* z z) -1))
(* x x)
(+ (* z z) -1)
-1
(- (/ (* y z) (/ y (- t x))) x)
(/ (* y z) (/ y (- t x)))
(* y z)
y
(/ y (- t x))
(- t x)
Outputs
(+ (* (* (- (/ t y) (tanh (/ x y))) y) z) x)
(+.f64 x (*.f64 (-.f64 t (*.f64 y (tanh.f64 (/.f64 x y)))) z))
(* (- (/ t y) (tanh (/ x y))) y)
(-.f64 t (*.f64 y (tanh.f64 (/.f64 x y))))
(- (/ t y) (tanh (/ x y)))
(-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))
(/ t y)
(/.f64 t y)
t
y
(tanh (/ x y))
(tanh.f64 (/.f64 x y))
(/ x y)
(/.f64 x y)
x
z
(* x (- 1 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
x
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
z
(+ x (* (/ z (/ y (- t x))) y))
(+.f64 x (*.f64 z (-.f64 t x)))
x
(* (/ z (/ y (- t x))) y)
(*.f64 z (-.f64 t x))
(/ z (/ y (- t x)))
(/.f64 z (/.f64 y (-.f64 t x)))
z
(/ y (- t x))
(/.f64 y (-.f64 t x))
y
(- t x)
(-.f64 t x)
t
(+ x (* (* (/ z y) y) (/ 1 (/ 1 (- t x)))))
(+.f64 x (*.f64 z (-.f64 t x)))
x
(* (* (/ z y) y) (/ 1 (/ 1 (- t x))))
(*.f64 z (-.f64 t x))
(* (/ z y) y)
z
(/ z y)
(/.f64 z y)
z
y
(/ 1 (/ 1 (- t x)))
(-.f64 t x)
1
#s(literal 1 binary64)
(/ 1 (- t x))
(/.f64 #s(literal 1 binary64) (-.f64 t x))
(- t x)
(-.f64 t x)
t
(/ (+ (* -2 (* t (* x (* z z)))) (* (* x x) (+ (* z z) -1))) (- (/ (* y z) (/ y (- t x))) x))
(/.f64 (*.f64 x (-.f64 (*.f64 (*.f64 z z) (+.f64 x (*.f64 t #s(literal -2 binary64)))) x)) (-.f64 (*.f64 z (-.f64 t x)) x))
(+ (* -2 (* t (* x (* z z)))) (* (* x x) (+ (* z z) -1)))
(*.f64 x (-.f64 (*.f64 (*.f64 z z) (+.f64 x (*.f64 t #s(literal -2 binary64)))) x))
(* -2 (* t (* x (* z z))))
(*.f64 x (*.f64 z (*.f64 z (*.f64 t #s(literal -2 binary64)))))
-2
#s(literal -2 binary64)
(* t (* x (* z z)))
(*.f64 t (*.f64 x (*.f64 z z)))
t
(* x (* z z))
(*.f64 x (*.f64 z z))
x
(* z z)
(*.f64 z z)
z
(* (* x x) (+ (* z z) -1))
(*.f64 x (*.f64 x (+.f64 (*.f64 z z) #s(literal -1 binary64))))
(* x x)
(*.f64 x x)
(+ (* z z) -1)
(+.f64 (*.f64 z z) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (/ (* y z) (/ y (- t x))) x)
(-.f64 (*.f64 z (-.f64 t x)) x)
(/ (* y z) (/ y (- t x)))
(*.f64 z (-.f64 t x))
(* y z)
(*.f64 y z)
y
(/ y (- t x))
(/.f64 y (-.f64 t x))
(- t x)
(-.f64 t x)

localize186.0ms (1.6%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy89.8%
(*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))
✓accuracy89.2%
(*.f64 t (*.f64 x (*.f64 z z)))
✓accuracy72.0%
(/.f64 (*.f64 y z) (/.f64 y (-.f64 t x)))
✓accuracy55.4%
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
✓accuracy100.0%
(*.f64 (*.f64 (/.f64 z y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x))))
✓accuracy100.0%
(+.f64 x (*.f64 (*.f64 (/.f64 z y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x)))))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x)))
✓accuracy78.4%
(*.f64 (/.f64 z y) y)
✓accuracy100.0%
(/.f64 y (-.f64 t x))
✓accuracy100.0%
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y))
✓accuracy92.0%
(/.f64 z (/.f64 y (-.f64 t x)))
✓accuracy79.7%
(*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y)
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) z)
✓accuracy100.0%
(*.f64 x (-.f64 #s(literal 1 binary64) z))
✓accuracy100.0%
(-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))
✓accuracy100.0%
(fma.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x)
✓accuracy100.0%
(tanh.f64 (/.f64 x y))
✓accuracy82.1%
(*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y)
Results
126.0ms255×0valid
3.0ms1×5exit
Compiler

Compiled 284 to 39 computations (86.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-div: 33.0ms (41.7% of total)
ival-mult: 23.0ms (29% of total)
ival-sub: 8.0ms (10.1% of total)
ival-add: 6.0ms (7.6% of total)
compiled-spec: 5.0ms (6.3% of total)
ival-tanh: 2.0ms (2.5% of total)
const: 1.0ms (1.3% of total)
backward-pass: 1.0ms (1.3% of total)

series74.0ms (0.6%)

Counts
21 → 768
Calls
Call 1
Inputs
#<alt (+ (* (* (- (/ t y) (tanh (/ x y))) y) z) x)>
#<alt (* (- (/ t y) (tanh (/ x y))) y)>
#<alt (- (/ t y) (tanh (/ x y)))>
#<alt (/ t y)>
#<alt (* x (- 1 z))>
#<alt (- 1 z)>
#<alt (+ x (* (/ z (/ y (- t x))) y))>
#<alt (* (/ z (/ y (- t x))) y)>
#<alt (/ z (/ y (- t x)))>
#<alt (/ y (- t x))>
#<alt (+ x (* (* (/ z y) y) (/ 1 (/ 1 (- t x)))))>
#<alt (* (* (/ z y) y) (/ 1 (/ 1 (- t x))))>
#<alt (* (/ z y) y)>
#<alt (/ 1 (/ 1 (- t x)))>
#<alt (/ (+ (* -2 (* t (* x (* z z)))) (* (* x x) (+ (* z z) -1))) (- (/ (* y z) (/ y (- t x))) x))>
#<alt (+ (* -2 (* t (* x (* z z)))) (* (* x x) (+ (* z z) -1)))>
#<alt (- (/ (* y z) (/ y (- t x))) x)>
#<alt (/ (* y z) (/ y (- t x)))>
#<alt (tanh (/ x y))>
#<alt (* t (* x (* z z)))>
#<alt (* (* x x) (+ (* z z) -1))>
Outputs
#<alt (+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))>
#<alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))>
#<alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))>
#<alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))>
#<alt (* t z)>
#<alt (* t (+ z (+ (/ x t) (/ (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) t))))>
#<alt (* t (+ z (+ (/ x t) (/ (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) t))))>
#<alt (* t (+ z (+ (/ x t) (/ (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) t))))>
#<alt (* t z)>
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* y (* z (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))) t)))))>
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* y (* z (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))) t)))))>
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* y (* z (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))) t)))))>
#<alt (+ x (* t z))>
#<alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))>
#<alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))>
#<alt (+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))>
#<alt (+ x (* z (- t x)))>
#<alt (+ x (+ (* -1/2 (/ (* z (+ (* -1 (pow x 2)) (pow x 2))) y)) (* z (- t x))))>
#<alt (+ x (+ (* -1/2 (/ (* z (+ (* -1 (pow x 2)) (pow x 2))) y)) (+ (* z (- t x)) (/ (* z (- (* 1/2 (pow x 3)) (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))))) (pow y 2)))))>
#<alt (+ x (+ (* -1/2 (/ (* z (+ (* -1 (pow x 2)) (pow x 2))) y)) (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (pow x 3)) (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))))) (pow y 2)) (/ (* z (- (+ (* -1/2 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))))) (* 1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))))) (pow y 3))))))>
#<alt (+ x (* -1 (* z (- (* -1 t) (* -1 x)))))>
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1/2 (/ (* z (+ (* -1 (pow x 2)) (pow x 2))) y))))>
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* 1/2 (* z (+ (* -1 (pow x 2)) (pow x 2)))) (/ (* z (- (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) y))))>
#<alt (+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* z (- (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))) (/ (* z (- (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))))) y)) y)) (* 1/2 (* z (+ (* -1 (pow x 2)) (pow x 2))))) y))))>
#<alt (* t z)>
#<alt (+ (* t z) (* x (+ 1 (* -1 z))))>
#<alt (+ (* t z) (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))))>
#<alt (+ (* t z) (* x (+ 1 (+ (* -1 z) (* (pow x 2) (+ (* -2/15 (/ (* (pow x 2) z) (pow y 4))) (* 1/3 (/ z (pow y 2)))))))))>
#<alt x>
#<alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) x)))>
#<alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) x)))>
#<alt (* x (+ 1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) x)) 1)))>
#<alt x>
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))>
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))>
#<alt (+ x (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))>
#<alt (* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ x z)))>
#<alt (* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ x z)))>
#<alt (* z (+ (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) (/ x z)))>
#<alt (* y (* z (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))>
#<alt (* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (* -1 (/ x z)))))>
#<alt (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))>
#<alt (+ t (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))>
#<alt (+ t (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))>
#<alt (+ t (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))>
#<alt t>
#<alt (* t (+ 1 (/ (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) t)))>
#<alt (* t (+ 1 (/ (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) t)))>
#<alt (* t (+ 1 (/ (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))) t)))>
#<alt t>
#<alt (* -1 (* t (- (/ (* y (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) t) 1)))>
#<alt (* -1 (* t (- (/ (* y (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) t) 1)))>
#<alt (* -1 (* t (- (/ (* y (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) t) 1)))>
#<alt t>
#<alt (+ t (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))>
#<alt (+ t (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))>
#<alt (+ t (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))>
#<alt (- t x)>
#<alt (- (+ t (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) x)>
#<alt (- (+ t (+ (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)) (* 1/2 (/ (pow x 3) (pow y 2))))) (+ x (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2)))))>
#<alt (- (+ t (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (* 1/2 (/ (pow x 3) (pow y 2))))))) (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))))))>
#<alt (* -1 (- (* -1 t) (* -1 x)))>
#<alt (+ (* -1 (- (* -1 t) (* -1 x))) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))>
#<alt (+ (* -1 (- (* -1 t) (* -1 x))) (* -1 (/ (- (+ (* -1/2 (/ (pow x 3) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (/ (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) y))) y)))>
#<alt (+ (* -1 (- (* -1 t) (* -1 x))) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (- (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) y)) (* 1/2 (/ (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))) y)))) (* 1/2 (/ (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))) y))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y)))>
#<alt t>
#<alt (+ t (* -1 x))>
#<alt (+ t (* x (- (* 1/3 (/ (pow x 2) (pow y 2))) 1)))>
#<alt (+ t (* x (- (* (pow x 2) (+ (* -2/15 (/ (pow x 2) (pow y 4))) (* 1/3 (/ 1 (pow y 2))))) 1)))>
#<alt (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))>
#<alt (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))>
#<alt (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))>
#<alt (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))>
#<alt (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))>
#<alt (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))>
#<alt (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))>
#<alt (* y (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))>
#<alt (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))>
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))>
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))>
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))>
#<alt (/ t y)>
#<alt (* t (- (+ (/ 1 y) (/ 1 (* t (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ (exp (/ x y)) (* t (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))>
#<alt (* t (- (+ (/ 1 y) (/ 1 (* t (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ (exp (/ x y)) (* t (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))>
#<alt (* t (- (+ (/ 1 y) (/ 1 (* t (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) (/ (exp (/ x y)) (* t (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))>
#<alt (/ t y)>
#<alt (* -1 (* t (- (* -1 (/ (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) t)) (/ 1 y))))>
#<alt (* -1 (* t (- (* -1 (/ (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) t)) (/ 1 y))))>
#<alt (* -1 (* t (- (* -1 (/ (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) t)) (/ 1 y))))>
#<alt (/ t y)>
#<alt (/ (+ t (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) y)>
#<alt (/ (+ t (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) y)>
#<alt (/ (+ t (* y (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) y)>
#<alt (/ (- t x) y)>
#<alt (/ (- (+ t (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) x) y)>
#<alt (/ (- (+ t (* 1/2 (/ (pow x 3) (pow y 2)))) (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))))) y)>
#<alt (/ (- (+ t (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (* 1/2 (/ (pow x 3) (pow y 2)))))) (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))))) y)>
#<alt (* -1 (/ (- (* -1 t) (* -1 x)) y))>
#<alt (* -1 (/ (- (+ (* -1 t) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) (* -1 x)) y))>
#<alt (* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y))>
#<alt (* -1 (/ (- (+ (* -1 t) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))))) y)) (* -1/2 (pow x 3))) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) (* -1 x)) y))>
#<alt (/ t y)>
#<alt (+ (* -1 (/ x y)) (/ t y))>
#<alt (+ (* x (- (* 1/3 (/ (pow x 2) (pow y 3))) (/ 1 y))) (/ t y))>
#<alt (+ (* x (- (* (pow x 2) (+ (* -2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y))) (/ t y))>
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))>
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))>
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))>
#<alt (- (+ (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ t y)) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))>
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#<alt (* x (- (+ (* -2 (/ (* t (pow z 2)) (* x (- (* -1 z) 1)))) (+ (* -1 (/ (* t (* z (- (* -2 (/ (* t (pow z 2)) (- (* -1 z) 1))) (/ (* t (* z (- (pow z 2) 1))) (pow (- (* -1 z) 1) 2))))) (* (pow x 2) (- (* -1 z) 1)))) (/ (pow z 2) (- (* -1 z) 1)))) (+ (/ 1 (- (* -1 z) 1)) (/ (* t (* z (- (pow z 2) 1))) (* x (pow (- (* -1 z) 1) 2))))))>
#<alt (* x (- (+ (* -2 (/ (* t (pow z 2)) (* x (- (* -1 z) 1)))) (+ (/ (* (pow t 2) (* (pow z 2) (- (* -2 (/ (* t (pow z 2)) (- (* -1 z) 1))) (/ (* t (* z (- (pow z 2) 1))) (pow (- (* -1 z) 1) 2))))) (* (pow x 3) (pow (- (* -1 z) 1) 2))) (/ (pow z 2) (- (* -1 z) 1)))) (+ (/ 1 (- (* -1 z) 1)) (+ (/ (* t (* z (- (* -2 (/ (* t (pow z 2)) (- (* -1 z) 1))) (/ (* t (* z (- (pow z 2) 1))) (pow (- (* -1 z) 1) 2))))) (* (pow x 2) (- (* -1 z) 1))) (/ (* t (* z (- (pow z 2) 1))) (* x (pow (- (* -1 z) 1) 2)))))))>
#<alt (* -1 (/ (* x (- (pow z 2) 1)) (+ 1 z)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* 2 (/ (* t (pow z 2)) (+ 1 z))) (/ (* t (* z (- (pow z 2) 1))) (pow (+ 1 z) 2))) x)) (/ (pow z 2) (+ 1 z))) (/ 1 (+ 1 z)))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (+ (* 2 (/ (* t (pow z 2)) (+ 1 z))) (/ (* t (* z (- (* 2 (/ (* t (pow z 2)) (+ 1 z))) (/ (* t (* z (- (pow z 2) 1))) (pow (+ 1 z) 2))))) (* x (+ 1 z)))) (/ (* t (* z (- (pow z 2) 1))) (pow (+ 1 z) 2))) x)) (/ (pow z 2) (+ 1 z))) (/ 1 (+ 1 z)))))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow t 2) (* (pow z 2) (- (* 2 (/ (* t (pow z 2)) (+ 1 z))) (/ (* t (* z (- (pow z 2) 1))) (pow (+ 1 z) 2))))) (* x (pow (+ 1 z) 2)))) (/ (* t (* z (- (* 2 (/ (* t (pow z 2)) (+ 1 z))) (/ (* t (* z (- (pow z 2) 1))) (pow (+ 1 z) 2))))) (+ 1 z))) x)) (* 2 (/ (* t (pow z 2)) (+ 1 z)))) (/ (* t (* z (- (pow z 2) 1))) (pow (+ 1 z) 2))) x)) (/ (pow z 2) (+ 1 z))) (/ 1 (+ 1 z)))))>
#<alt x>
#<alt (+ x (* z (- t x)))>
#<alt (+ x (* z (- (* z (- (* -1 (/ (+ (* -2 (* t x)) (pow x 2)) x)) (* -1 (/ (pow (- t x) 2) x)))) (* -1 (- t x)))))>
#<alt (+ x (* z (- (* z (- (+ (* -1 (/ (+ (* -2 (* t x)) (pow x 2)) x)) (/ (* z (* (- t x) (- (* -1 (/ (+ (* -2 (* t x)) (pow x 2)) x)) (* -1 (/ (pow (- t x) 2) x))))) x)) (* -1 (/ (pow (- t x) 2) x)))) (* -1 (- t x)))))>
#<alt (/ (* z (+ (* -2 (* t x)) (pow x 2))) (- t x))>
#<alt (* z (+ (* -2 (/ (* t x) (- t x))) (+ (/ (* x (+ (* -2 (* t x)) (pow x 2))) (* z (pow (- t x) 2))) (/ (pow x 2) (- t x)))))>
#<alt (* z (- (+ (* -2 (/ (* t x) (- t x))) (+ (* -1 (/ (pow x 2) (* (pow z 2) (- t x)))) (/ (pow x 2) (- t x)))) (+ (* -1 (/ (* x (+ (* -2 (* t x)) (pow x 2))) (* z (pow (- t x) 2)))) (* -1 (/ (* (pow x 2) (+ (* -2 (* t x)) (pow x 2))) (* (pow z 2) (pow (- t x) 3)))))))>
#<alt (* z (- (+ (* -2 (/ (* t x) (- t x))) (+ (* -1 (/ (pow x 2) (* (pow z 2) (- t x)))) (+ (/ (* x (- (* -1 (/ (pow x 2) (- t x))) (* -1 (/ (* (pow x 2) (+ (* -2 (* t x)) (pow x 2))) (pow (- t x) 3))))) (* (pow z 3) (- t x))) (/ (pow x 2) (- t x))))) (+ (* -1 (/ (* x (+ (* -2 (* t x)) (pow x 2))) (* z (pow (- t x) 2)))) (* -1 (/ (* (pow x 2) (+ (* -2 (* t x)) (pow x 2))) (* (pow z 2) (pow (- t x) 3)))))))>
#<alt (/ (* z (+ (* -2 (* t x)) (pow x 2))) (- t x))>
#<alt (* -1 (* z (+ (* -1 (/ (* x (+ (* -2 (* t x)) (pow x 2))) (* z (pow (- t x) 2)))) (* -1 (/ (+ (* -2 (* t x)) (pow x 2)) (- t x))))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ (* -2 (* t x)) (pow x 2)) (- t x))) (* -1 (/ (- (* -1 (/ (- (/ (pow x 2) (- t x)) (/ (* (pow x 2) (+ (* -2 (* t x)) (pow x 2))) (pow (- t x) 3))) z)) (* -1 (/ (* x (+ (* -2 (* t x)) (pow x 2))) (pow (- t x) 2)))) z)))))>
#<alt (* -1 (* z (+ (* -1 (/ (+ (* -2 (* t x)) (pow x 2)) (- t x))) (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (- (/ (pow x 2) (- t x)) (/ (* (pow x 2) (+ (* -2 (* t x)) (pow x 2))) (pow (- t x) 3)))) (* z (- t x))) (/ (pow x 2) (- t x))) (/ (* (pow x 2) (+ (* -2 (* t x)) (pow x 2))) (pow (- t x) 3))) z)) (* -1 (/ (* x (+ (* -2 (* t x)) (pow x 2))) (pow (- t x) 2)))) z)))))>
#<alt (/ (+ (* -2 (* t (* x (pow z 2)))) (* (pow x 2) (- (pow z 2) 1))) (- (* z (- t x)) x))>
#<alt (/ (+ (* -2 (* t (* x (pow z 2)))) (* (pow x 2) (- (pow z 2) 1))) (- (* z (- t x)) x))>
#<alt (/ (+ (* -2 (* t (* x (pow z 2)))) (* (pow x 2) (- (pow z 2) 1))) (- (* z (- t x)) x))>
#<alt (/ (+ (* -2 (* t (* x (pow z 2)))) (* (pow x 2) (- (pow z 2) 1))) (- (* z (- t x)) x))>
#<alt (/ (+ (* -2 (* t (* x (pow z 2)))) (* (pow x 2) (- (pow z 2) 1))) (- (* z (- t x)) x))>
#<alt (/ (+ (* -2 (* t (* x (pow z 2)))) (* (pow x 2) (- (pow z 2) 1))) (- (* z (- t x)) x))>
#<alt (/ (+ (* -2 (* t (* x (pow z 2)))) (* (pow x 2) (- (pow z 2) 1))) (- (* z (- t x)) x))>
#<alt (/ (+ (* -2 (* t (* x (pow z 2)))) (* (pow x 2) (- (pow z 2) 1))) (- (* z (- t x)) x))>
#<alt (/ (+ (* -2 (* t (* x (pow z 2)))) (* (pow x 2) (- (pow z 2) 1))) (- (* z (- t x)) x))>
#<alt (/ (+ (* -2 (* t (* x (pow z 2)))) (* (pow x 2) (- (pow z 2) 1))) (- (* z (- t x)) x))>
#<alt (/ (+ (* -2 (* t (* x (pow z 2)))) (* (pow x 2) (- (pow z 2) 1))) (- (* z (- t x)) x))>
#<alt (/ (+ (* -2 (* t (* x (pow z 2)))) (* (pow x 2) (- (pow z 2) 1))) (- (* z (- t x)) x))>
#<alt (* (pow x 2) (- (pow z 2) 1))>
#<alt (+ (* -2 (* t (* x (pow z 2)))) (* (pow x 2) (- (pow z 2) 1)))>
#<alt (+ (* -2 (* t (* x (pow z 2)))) (* (pow x 2) (- (pow z 2) 1)))>
#<alt (+ (* -2 (* t (* x (pow z 2)))) (* (pow x 2) (- (pow z 2) 1)))>
#<alt (* -2 (* t (* x (pow z 2))))>
#<alt (* t (+ (* -2 (* x (pow z 2))) (/ (* (pow x 2) (- (pow z 2) 1)) t)))>
#<alt (* t (+ (* -2 (* x (pow z 2))) (/ (* (pow x 2) (- (pow z 2) 1)) t)))>
#<alt (* t (+ (* -2 (* x (pow z 2))) (/ (* (pow x 2) (- (pow z 2) 1)) t)))>
#<alt (* -2 (* t (* x (pow z 2))))>
#<alt (* -1 (* t (+ (* -1 (/ (* (pow x 2) (- (pow z 2) 1)) t)) (* 2 (* x (pow z 2))))))>
#<alt (* -1 (* t (+ (* -1 (/ (* (pow x 2) (- (pow z 2) 1)) t)) (* 2 (* x (pow z 2))))))>
#<alt (* -1 (* t (+ (* -1 (/ (* (pow x 2) (- (pow z 2) 1)) t)) (* 2 (* x (pow z 2))))))>
#<alt (* -2 (* t (* x (pow z 2))))>
#<alt (* x (+ (* -2 (* t (pow z 2))) (* x (- (pow z 2) 1))))>
#<alt (* x (+ (* -2 (* t (pow z 2))) (* x (- (pow z 2) 1))))>
#<alt (* x (+ (* -2 (* t (pow z 2))) (* x (- (pow z 2) 1))))>
#<alt (* (pow x 2) (- (pow z 2) 1))>
#<alt (* (pow x 2) (- (+ (* -2 (/ (* t (pow z 2)) x)) (pow z 2)) 1))>
#<alt (* (pow x 2) (- (+ (* -2 (/ (* t (pow z 2)) x)) (pow z 2)) 1))>
#<alt (* (pow x 2) (- (+ (* -2 (/ (* t (pow z 2)) x)) (pow z 2)) 1))>
#<alt (* (pow x 2) (- (pow z 2) 1))>
#<alt (* (pow x 2) (- (+ (* -2 (/ (* t (pow z 2)) x)) (pow z 2)) 1))>
#<alt (* (pow x 2) (- (+ (* -2 (/ (* t (pow z 2)) x)) (pow z 2)) 1))>
#<alt (* (pow x 2) (- (+ (* -2 (/ (* t (pow z 2)) x)) (pow z 2)) 1))>
#<alt (* -1 (pow x 2))>
#<alt (+ (* -1 (pow x 2)) (* (pow z 2) (+ (* -2 (* t x)) (pow x 2))))>
#<alt (+ (* -1 (pow x 2)) (* (pow z 2) (+ (* -2 (* t x)) (pow x 2))))>
#<alt (+ (* -1 (pow x 2)) (* (pow z 2) (+ (* -2 (* t x)) (pow x 2))))>
#<alt (* (pow z 2) (+ (* -2 (* t x)) (pow x 2)))>
#<alt (* (pow z 2) (+ (* -2 (* t x)) (+ (* -1 (/ (pow x 2) (pow z 2))) (pow x 2))))>
#<alt (* (pow z 2) (+ (* -2 (* t x)) (+ (* -1 (/ (pow x 2) (pow z 2))) (pow x 2))))>
#<alt (* (pow z 2) (+ (* -2 (* t x)) (+ (* -1 (/ (pow x 2) (pow z 2))) (pow x 2))))>
#<alt (* (pow z 2) (+ (* -2 (* t x)) (pow x 2)))>
#<alt (* (pow z 2) (+ (* -2 (* t x)) (+ (* -1 (/ (pow x 2) (pow z 2))) (pow x 2))))>
#<alt (* (pow z 2) (+ (* -2 (* t x)) (+ (* -1 (/ (pow x 2) (pow z 2))) (pow x 2))))>
#<alt (* (pow z 2) (+ (* -2 (* t x)) (+ (* -1 (/ (pow x 2) (pow z 2))) (pow x 2))))>
#<alt (- (* z (- t x)) x)>
#<alt (- (* z (- t x)) x)>
#<alt (- (* z (- t x)) x)>
#<alt (- (* z (- t x)) x)>
#<alt (- (* z (- t x)) x)>
#<alt (- (* z (- t x)) x)>
#<alt (- (* z (- t x)) x)>
#<alt (- (* z (- t x)) x)>
#<alt (- (* z (- t x)) x)>
#<alt (- (* z (- t x)) x)>
#<alt (- (* z (- t x)) x)>
#<alt (- (* z (- t x)) x)>
#<alt (* -1 x)>
#<alt (- (* z (- t x)) x)>
#<alt (- (* z (- t x)) x)>
#<alt (- (* z (- t x)) x)>
#<alt (* z (- t x))>
#<alt (* z (- (+ t (* -1 (/ x z))) x))>
#<alt (* z (- (+ t (* -1 (/ x z))) x))>
#<alt (* z (- (+ t (* -1 (/ x z))) x))>
#<alt (* z (- t x))>
#<alt (* -1 (* z (+ (* -1 (- t x)) (/ x z))))>
#<alt (* -1 (* z (+ (* -1 (- t x)) (/ x z))))>
#<alt (* -1 (* z (+ (* -1 (- t x)) (/ x z))))>
#<alt (- (* -1 (* x z)) x)>
#<alt (- (+ (* -1 (* x z)) (* t z)) x)>
#<alt (- (+ (* -1 (* x z)) (* t z)) x)>
#<alt (- (+ (* -1 (* x z)) (* t z)) x)>
#<alt (* t z)>
#<alt (* t (- (+ z (* -1 (/ (* x z) t))) (/ x t)))>
#<alt (* t (- (+ z (* -1 (/ (* x z) t))) (/ x t)))>
#<alt (* t (- (+ z (* -1 (/ (* x z) t))) (/ x t)))>
#<alt (* t z)>
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (- (* -1 (* x z)) x) t)))))>
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (- (* -1 (* x z)) x) t)))))>
#<alt (* -1 (* t (+ (* -1 z) (* -1 (/ (- (* -1 (* x z)) x) t)))))>
#<alt (* t z)>
#<alt (+ (* t z) (* x (- (* -1 z) 1)))>
#<alt (+ (* t z) (* x (- (* -1 z) 1)))>
#<alt (+ (* t z) (* x (- (* -1 z) 1)))>
#<alt (* x (- (* -1 z) 1))>
#<alt (* x (- (+ (* -1 z) (/ (* t z) x)) 1))>
#<alt (* x (- (+ (* -1 z) (/ (* t z) x)) 1))>
#<alt (* x (- (+ (* -1 z) (/ (* t z) x)) 1))>
#<alt (* -1 (* x (+ 1 z)))>
#<alt (* -1 (* x (+ 1 (+ z (* -1 (/ (* t z) x))))))>
#<alt (* -1 (* x (+ 1 (+ z (* -1 (/ (* t z) x))))))>
#<alt (* -1 (* x (+ 1 (+ z (* -1 (/ (* t z) x))))))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* z (- t x))>
#<alt (* -1 (* x z))>
#<alt (+ (* -1 (* x z)) (* t z))>
#<alt (+ (* -1 (* x z)) (* t z))>
#<alt (+ (* -1 (* x z)) (* t z))>
#<alt (* t z)>
#<alt (* t (+ z (* -1 (/ (* x z) t))))>
#<alt (* t (+ z (* -1 (/ (* x z) t))))>
#<alt (* t (+ z (* -1 (/ (* x z) t))))>
#<alt (* t z)>
#<alt (* -1 (* t (+ (* -1 z) (/ (* x z) t))))>
#<alt (* -1 (* t (+ (* -1 z) (/ (* x z) t))))>
#<alt (* -1 (* t (+ (* -1 z) (/ (* x z) t))))>
#<alt (* t z)>
#<alt (+ (* -1 (* x z)) (* t z))>
#<alt (+ (* -1 (* x z)) (* t z))>
#<alt (+ (* -1 (* x z)) (* t z))>
#<alt (* -1 (* x z))>
#<alt (* x (+ (* -1 z) (/ (* t z) x)))>
#<alt (* x (+ (* -1 z) (/ (* t z) x)))>
#<alt (* x (+ (* -1 z) (/ (* t z) x)))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x (+ z (* -1 (/ (* t z) x)))))>
#<alt (* -1 (* x (+ z (* -1 (/ (* t z) x)))))>
#<alt (* -1 (* x (+ z (* -1 (/ (* t z) x)))))>
#<alt (/ x y)>
#<alt (* x (+ (* -1/3 (/ (pow x 2) (pow y 3))) (/ 1 y)))>
#<alt (* x (+ (* (pow x 2) (- (* 2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))>
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -17/315 (/ (pow x 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))>
#<alt (/ x y)>
#<alt (/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)>
#<alt (/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) (* 1/2 (/ (pow x 3) (pow y 2)))) y)>
#<alt (/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))))) (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (* 1/2 (/ (pow x 3) (pow y 2)))))) y)>
#<alt (/ x y)>
#<alt (* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y))>
#<alt (* t (* x (pow z 2)))>
#<alt (* t (* x (pow z 2)))>
#<alt (* t (* x (pow z 2)))>
#<alt (* t (* x (pow z 2)))>
#<alt (* t (* x (pow z 2)))>
#<alt (* t (* x (pow z 2)))>
#<alt (* t (* x (pow z 2)))>
#<alt (* t (* x (pow z 2)))>
#<alt (* t (* x (pow z 2)))>
#<alt (* t (* x (pow z 2)))>
#<alt (* t (* x (pow z 2)))>
#<alt (* t (* x (pow z 2)))>
#<alt (* t (* x (pow z 2)))>
#<alt (* t (* x (pow z 2)))>
#<alt (* t (* x (pow z 2)))>
#<alt (* t (* x (pow z 2)))>
#<alt (* t (* x (pow z 2)))>
#<alt (* t (* x (pow z 2)))>
#<alt (* t (* x (pow z 2)))>
#<alt (* t (* x (pow z 2)))>
#<alt (* t (* x (pow z 2)))>
#<alt (* t (* x (pow z 2)))>
#<alt (* t (* x (pow z 2)))>
#<alt (* t (* x (pow z 2)))>
#<alt (* t (* x (pow z 2)))>
#<alt (* t (* x (pow z 2)))>
#<alt (* t (* x (pow z 2)))>
#<alt (* t (* x (pow z 2)))>
#<alt (* t (* x (pow z 2)))>
#<alt (* t (* x (pow z 2)))>
#<alt (* t (* x (pow z 2)))>
#<alt (* t (* x (pow z 2)))>
#<alt (* t (* x (pow z 2)))>
#<alt (* t (* x (pow z 2)))>
#<alt (* t (* x (pow z 2)))>
#<alt (* t (* x (pow z 2)))>
#<alt (* (pow x 2) (- (pow z 2) 1))>
#<alt (* (pow x 2) (- (pow z 2) 1))>
#<alt (* (pow x 2) (- (pow z 2) 1))>
#<alt (* (pow x 2) (- (pow z 2) 1))>
#<alt (* (pow x 2) (- (pow z 2) 1))>
#<alt (* (pow x 2) (- (pow z 2) 1))>
#<alt (* (pow x 2) (- (pow z 2) 1))>
#<alt (* (pow x 2) (- (pow z 2) 1))>
#<alt (* (pow x 2) (- (pow z 2) 1))>
#<alt (* (pow x 2) (- (pow z 2) 1))>
#<alt (* (pow x 2) (- (pow z 2) 1))>
#<alt (* (pow x 2) (- (pow z 2) 1))>
#<alt (* -1 (pow x 2))>
#<alt (+ (* -1 (pow x 2)) (* (pow x 2) (pow z 2)))>
#<alt (+ (* -1 (pow x 2)) (* (pow x 2) (pow z 2)))>
#<alt (+ (* -1 (pow x 2)) (* (pow x 2) (pow z 2)))>
#<alt (* (pow x 2) (pow z 2))>
#<alt (* (pow z 2) (+ (* -1 (/ (pow x 2) (pow z 2))) (pow x 2)))>
#<alt (* (pow z 2) (+ (* -1 (/ (pow x 2) (pow z 2))) (pow x 2)))>
#<alt (* (pow z 2) (+ (* -1 (/ (pow x 2) (pow z 2))) (pow x 2)))>
#<alt (* (pow x 2) (pow z 2))>
#<alt (* (pow z 2) (+ (* -1 (/ (pow x 2) (pow z 2))) (pow x 2)))>
#<alt (* (pow z 2) (+ (* -1 (/ (pow x 2) (pow z 2))) (pow x 2)))>
#<alt (* (pow z 2) (+ (* -1 (/ (pow x 2) (pow z 2))) (pow x 2)))>
Calls

192 calls:

TimeVariablePointExpression
19.0ms
y
@0
(/ (+ (* -2 (* t (* x (* z z)))) (* (* x x) (+ (* z z) -1))) (- (/ (* y z) (/ y (- t x))) x))
9.0ms
y
@inf
(+ (* (* (- (/ t y) (tanh (/ x y))) y) z) x)
1.0ms
t
@0
(/ (+ (* -2 (* t (* x (* z z)))) (* (* x x) (+ (* z z) -1))) (- (/ (* y z) (/ y (- t x))) x))
1.0ms
z
@inf
(/ (+ (* -2 (* t (* x (* z z)))) (* (* x x) (+ (* z z) -1))) (- (/ (* y z) (/ y (- t x))) x))
1.0ms
x
@inf
(/ (+ (* -2 (* t (* x (* z z)))) (* (* x x) (+ (* z z) -1))) (- (/ (* y z) (/ y (- t x))) x))

rewrite454.0ms (3.8%)

Algorithm
1×batch-egg-rewrite
Rules
6578×*-lowering-*.f32
6578×*-lowering-*.f64
3600×/-lowering-/.f32
3600×/-lowering-/.f64
2274×--lowering--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039187
1276183
22543151
010723151
Stop Event
1×iter limit
1×node limit
Counts
21 → 752
Calls
Call 1
Inputs
(+ (* (* (- (/ t y) (tanh (/ x y))) y) z) x)
(* (- (/ t y) (tanh (/ x y))) y)
(- (/ t y) (tanh (/ x y)))
(/ t y)
(* x (- 1 z))
(- 1 z)
(+ x (* (/ z (/ y (- t x))) y))
(* (/ z (/ y (- t x))) y)
(/ z (/ y (- t x)))
(/ y (- t x))
(+ x (* (* (/ z y) y) (/ 1 (/ 1 (- t x)))))
(* (* (/ z y) y) (/ 1 (/ 1 (- t x))))
(* (/ z y) y)
(/ 1 (/ 1 (- t x)))
(/ (+ (* -2 (* t (* x (* z z)))) (* (* x x) (+ (* z z) -1))) (- (/ (* y z) (/ y (- t x))) x))
(+ (* -2 (* t (* x (* z z)))) (* (* x x) (+ (* z z) -1)))
(- (/ (* y z) (/ y (- t x))) x)
(/ (* y z) (/ y (- t x)))
(tanh (/ x y))
(* t (* x (* z z)))
(* (* x x) (+ (* z z) -1))
Outputs
(+.f64 x (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)))
(+.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x)
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x)))
(fma.f64 y (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) z) x)
(fma.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
(fma.f64 (*.f64 y (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))) z x)
(fma.f64 z (*.f64 y (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))) x)
(fma.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) x)
(fma.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) z) y x)
(fma.f64 (*.f64 z (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))) y x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z))))) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x) (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z))))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 (*.f64 y z) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x))
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))) (-.f64 x (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x)) (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x) (-.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x)))
(pow.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z))))) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x) (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x (-.f64 x (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x)))
(+.f64 (*.f64 y (/.f64 t y)) (*.f64 y (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y)))))
(+.f64 (*.f64 (/.f64 t y) y) (*.f64 (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y))) y))
(fma.f64 y (/.f64 t y) (*.f64 y (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y)))))
(fma.f64 (/.f64 t y) y (*.f64 (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y))) y))
(/.f64 (*.f64 y (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)))) (+.f64 (/.f64 (*.f64 (/.f64 t y) t) y) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))))
(/.f64 (*.f64 y (-.f64 (/.f64 (*.f64 (/.f64 t y) t) y) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)))) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) y) (+.f64 (/.f64 (*.f64 (/.f64 t y) t) y) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (/.f64 t y) t) y) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))) y) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))
(*.f64 y (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))
(*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y)
(+.f64 (/.f64 t y) (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y))))
(+.f64 (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y))) (/.f64 t y))
(-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))
(-.f64 (/.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (+.f64 (/.f64 (*.f64 (/.f64 t y) t) y) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))) (/.f64 (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)) (+.f64 (/.f64 (*.f64 (/.f64 t y) t) y) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))))
(-.f64 (/.f64 (/.f64 (*.f64 (/.f64 t y) t) y) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))) (/.f64 (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
(fma.f64 t (/.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y))))
(fma.f64 #s(literal 1 binary64) (/.f64 t y) (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y))))
(fma.f64 #s(literal -1 binary64) (tanh.f64 (/.f64 x y)) (/.f64 t y))
(fma.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y))))
(fma.f64 (/.f64 #s(literal 1 binary64) y) t (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (/.f64 t y) t) y) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))) (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) (-.f64 (/.f64 (*.f64 (/.f64 t y) t) y) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (/.f64 t y) t) y) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))))
(/.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 (/.f64 t y) t) y) (-.f64 (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)) (*.f64 (/.f64 t y) (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y)))))))
(/.f64 (-.f64 (/.f64 (*.f64 (/.f64 t y) t) y) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))))
(/.f64 (-.f64 (/.f64 (*.f64 (/.f64 t y) t) y) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64))) (-.f64 (/.f64 t y) (-.f64 #s(literal 0 binary64) (tanh.f64 (/.f64 x y)))))
(/.f64 (-.f64 (*.f64 t (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (*.f64 y (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))))) (*.f64 y (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))
(/.f64 (-.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))))) (*.f64 y (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))))) (*.f64 y (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))) (*.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))))) (*.f64 y (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (*.f64 (/.f64 y t) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))))) (*.f64 (/.f64 y t) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))))) (*.f64 (/.f64 y t) (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))))) (*.f64 (/.f64 y t) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))) (*.f64 (/.f64 y t) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))))) (*.f64 (/.f64 y t) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))))) (*.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) t) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) y) (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) t) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))))) (*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (*.f64 (/.f64 t y) t) y) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (/.f64 t y) t) y) (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
(/.f64 (-.f64 (*.f64 t (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))))) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))))))
(/.f64 (-.f64 (*.f64 t (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))) (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))))) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))) (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 t (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))))) (*.f64 y #s(literal 1 binary64))) (*.f64 y (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))))))
(/.f64 (-.f64 (*.f64 t (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))) (*.f64 y (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y)))))) (*.f64 y (neg.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))))
(/.f64 (-.f64 (*.f64 t (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))))) (*.f64 y (neg.f64 (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))))) (*.f64 y (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 t (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))))) (*.f64 y (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x))))))) (*.f64 y (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))))) (*.f64 (/.f64 y t) #s(literal 1 binary64))) (*.f64 (/.f64 y t) (/.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 x y))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))) (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))))) (*.f64 (/.f64 y t) #s(literal 1 binary64))) (*.f64 (/.f64 y t) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))) (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))))) (*.f64 (/.f64 y t) #s(literal 1 binary64))) (*.f64 (/.f64 y t) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))) (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal -2 binary64) (/.f64 y x)))))))
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(tanh.f64 (/.f64 x y))
(*.f64 t (*.f64 x (*.f64 z z)))
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(*.f64 (*.f64 x (*.f64 z z)) t)
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(*.f64 (*.f64 t (*.f64 z z)) x)
(*.f64 (*.f64 t (*.f64 x z)) z)
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(-.f64 (*.f64 x (*.f64 x (*.f64 z z))) (*.f64 x x))
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(fma.f64 x (*.f64 x #s(literal -1 binary64)) (*.f64 x (*.f64 x (*.f64 z z))))
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simplify433.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
5578×*-lowering-*.f32
5578×*-lowering-*.f64
3964×+-lowering-+.f64
3964×+-lowering-+.f32
1706×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
095011608
1341410475
0864610475
Stop Event
1×iter limit
1×node limit
Counts
768 → 768
Calls
Call 1
Inputs
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(* t z)
(* t (+ z (+ (/ x t) (/ (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) t))))
(* t (+ z (+ (/ x t) (/ (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) t))))
(* t (+ z (+ (/ x t) (/ (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) t))))
(* t z)
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* y (* z (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))) t)))))
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* y (* z (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))) t)))))
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* y (* z (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))) t)))))
(+ x (* t z))
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+ x (* z (- t x)))
(+ x (+ (* -1/2 (/ (* z (+ (* -1 (pow x 2)) (pow x 2))) y)) (* z (- t x))))
(+ x (+ (* -1/2 (/ (* z (+ (* -1 (pow x 2)) (pow x 2))) y)) (+ (* z (- t x)) (/ (* z (- (* 1/2 (pow x 3)) (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))))) (pow y 2)))))
(+ x (+ (* -1/2 (/ (* z (+ (* -1 (pow x 2)) (pow x 2))) y)) (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (pow x 3)) (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))))) (pow y 2)) (/ (* z (- (+ (* -1/2 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))))) (* 1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))))) (pow y 3))))))
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(* z (- t x))
(* z (- t x))
(* z (- t x))
(* z (- t x))
(* z (- t x))
(* z (- t x))
(* z (- t x))
(* z (- t x))
(* z (- t x))
(* z (- t x))
(* z (- t x))
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(* -1 (* x z))
(+ (* -1 (* x z)) (* t z))
(+ (* -1 (* x z)) (* t z))
(+ (* -1 (* x z)) (* t z))
(* t z)
(* t (+ z (* -1 (/ (* x z) t))))
(* t (+ z (* -1 (/ (* x z) t))))
(* t (+ z (* -1 (/ (* x z) t))))
(* t z)
(* -1 (* t (+ (* -1 z) (/ (* x z) t))))
(* -1 (* t (+ (* -1 z) (/ (* x z) t))))
(* -1 (* t (+ (* -1 z) (/ (* x z) t))))
(* t z)
(+ (* -1 (* x z)) (* t z))
(+ (* -1 (* x z)) (* t z))
(+ (* -1 (* x z)) (* t z))
(* -1 (* x z))
(* x (+ (* -1 z) (/ (* t z) x)))
(* x (+ (* -1 z) (/ (* t z) x)))
(* x (+ (* -1 z) (/ (* t z) x)))
(* -1 (* x z))
(* -1 (* x (+ z (* -1 (/ (* t z) x)))))
(* -1 (* x (+ z (* -1 (/ (* t z) x)))))
(* -1 (* x (+ z (* -1 (/ (* t z) x)))))
(/ x y)
(* x (+ (* -1/3 (/ (pow x 2) (pow y 3))) (/ 1 y)))
(* x (+ (* (pow x 2) (- (* 2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))
(* x (+ (* (pow x 2) (- (* (pow x 2) (+ (* -17/315 (/ (pow x 2) (pow y 7))) (* 2/15 (/ 1 (pow y 5))))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/ x y)
(/ (+ x (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)
(/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y)))) (* 1/2 (/ (pow x 3) (pow y 2)))) y)
(/ (- (+ x (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4))))) (pow y 3))) (+ (* 1/2 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))))) (+ (* -1/2 (/ (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3)))) (pow y 3))) (+ (* 1/4 (/ (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3))) (* 1/2 (/ (pow x 3) (pow y 2)))))) y)
(/ x y)
(* -1 (/ (+ (* -1 x) (* -1/2 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))) (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* -1/2 (pow x 3))) y)) (* 1/2 (+ (* -1 (pow x 2)) (pow x 2)))) y))) y))
(* t (* x (pow z 2)))
(* t (* x (pow z 2)))
(* t (* x (pow z 2)))
(* t (* x (pow z 2)))
(* t (* x (pow z 2)))
(* t (* x (pow z 2)))
(* t (* x (pow z 2)))
(* t (* x (pow z 2)))
(* t (* x (pow z 2)))
(* t (* x (pow z 2)))
(* t (* x (pow z 2)))
(* t (* x (pow z 2)))
(* t (* x (pow z 2)))
(* t (* x (pow z 2)))
(* t (* x (pow z 2)))
(* t (* x (pow z 2)))
(* t (* x (pow z 2)))
(* t (* x (pow z 2)))
(* t (* x (pow z 2)))
(* t (* x (pow z 2)))
(* t (* x (pow z 2)))
(* t (* x (pow z 2)))
(* t (* x (pow z 2)))
(* t (* x (pow z 2)))
(* t (* x (pow z 2)))
(* t (* x (pow z 2)))
(* t (* x (pow z 2)))
(* t (* x (pow z 2)))
(* t (* x (pow z 2)))
(* t (* x (pow z 2)))
(* t (* x (pow z 2)))
(* t (* x (pow z 2)))
(* t (* x (pow z 2)))
(* t (* x (pow z 2)))
(* t (* x (pow z 2)))
(* t (* x (pow z 2)))
(* (pow x 2) (- (pow z 2) 1))
(* (pow x 2) (- (pow z 2) 1))
(* (pow x 2) (- (pow z 2) 1))
(* (pow x 2) (- (pow z 2) 1))
(* (pow x 2) (- (pow z 2) 1))
(* (pow x 2) (- (pow z 2) 1))
(* (pow x 2) (- (pow z 2) 1))
(* (pow x 2) (- (pow z 2) 1))
(* (pow x 2) (- (pow z 2) 1))
(* (pow x 2) (- (pow z 2) 1))
(* (pow x 2) (- (pow z 2) 1))
(* (pow x 2) (- (pow z 2) 1))
(* -1 (pow x 2))
(+ (* -1 (pow x 2)) (* (pow x 2) (pow z 2)))
(+ (* -1 (pow x 2)) (* (pow x 2) (pow z 2)))
(+ (* -1 (pow x 2)) (* (pow x 2) (pow z 2)))
(* (pow x 2) (pow z 2))
(* (pow z 2) (+ (* -1 (/ (pow x 2) (pow z 2))) (pow x 2)))
(* (pow z 2) (+ (* -1 (/ (pow x 2) (pow z 2))) (pow x 2)))
(* (pow z 2) (+ (* -1 (/ (pow x 2) (pow z 2))) (pow x 2)))
(* (pow x 2) (pow z 2))
(* (pow z 2) (+ (* -1 (/ (pow x 2) (pow z 2))) (pow x 2)))
(* (pow z 2) (+ (* -1 (/ (pow x 2) (pow z 2))) (pow x 2)))
(* (pow z 2) (+ (* -1 (/ (pow x 2) (pow z 2))) (pow x 2)))
Outputs
(+ x (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y))))))))
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+.f64 (+.f64 x (*.f64 z t)) (*.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y))))))))
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+.f64 (+.f64 x (*.f64 z t)) (*.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y))))))))
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+.f64 (+.f64 x (*.f64 z t)) (*.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y))))))))
(* t z)
(*.f64 z t)
(* t (+ z (+ (/ x t) (/ (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) t))))
(*.f64 t (+.f64 (+.f64 z (/.f64 x t)) (/.f64 (*.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y))))))) t)))
(* t (+ z (+ (/ x t) (/ (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) t))))
(*.f64 t (+.f64 (+.f64 z (/.f64 x t)) (/.f64 (*.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y))))))) t)))
(* t (+ z (+ (/ x t) (/ (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))))) t))))
(*.f64 t (+.f64 (+.f64 z (/.f64 x t)) (/.f64 (*.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y))))))) t)))
(* t z)
(*.f64 z t)
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* y (* z (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))) t)))))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (-.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y))))))) t)) (-.f64 #s(literal 0 binary64) t))
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* y (* z (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))) t)))))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (-.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y))))))) t)) (-.f64 #s(literal 0 binary64) t))
(* -1 (* t (+ (* -1 z) (* -1 (/ (+ x (* -1 (* y (* z (- (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))) (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))) t)))))
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (-.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y)))) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y))))))) t)) (-.f64 #s(literal 0 binary64) t))
(+ x (* t z))
(+.f64 x (*.f64 z t))
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+.f64 (+.f64 x (*.f64 z t)) (*.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y))))))))
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+.f64 (+.f64 x (*.f64 z t)) (*.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y))))))))
(+ x (+ (* t z) (* y (* z (- (/ 1 (* (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))) (/ (exp (/ x y)) (+ (exp (/ x y)) (/ 1 (exp (/ x y))))))))))
(+.f64 (+.f64 x (*.f64 z t)) (*.f64 (*.f64 y z) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (/.f64 x y) (/.f64 x y))))) (/.f64 (exp.f64 (/.f64 x y)) (+.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (-.f64 #s(literal 0 binary64) y))))))))
(+ x (* z (- t x)))
(+.f64 x (*.f64 z (-.f64 t x)))
(+ x (+ (* -1/2 (/ (* z (+ (* -1 (pow x 2)) (pow x 2))) y)) (* z (- t x))))
(+.f64 x (+.f64 (*.f64 z (-.f64 t x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z #s(literal 0 binary64))) y)))
(+ x (+ (* -1/2 (/ (* z (+ (* -1 (pow x 2)) (pow x 2))) y)) (+ (* z (- t x)) (/ (* z (- (* 1/2 (pow x 3)) (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))))) (pow y 2)))))
(+.f64 x (+.f64 (+.f64 (*.f64 z (-.f64 t x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z #s(literal 0 binary64))) y)) (/.f64 (*.f64 z (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))))) (*.f64 y y))))
(+ x (+ (* -1/2 (/ (* z (+ (* -1 (pow x 2)) (pow x 2))) y)) (+ (* z (- t x)) (+ (/ (* z (- (* 1/2 (pow x 3)) (* 1/2 (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/3 (pow x 3))))))) (pow y 2)) (/ (* z (- (+ (* -1/2 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (* -1/2 (pow x 3))))) (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2))))) (* 1/2 (+ (* -1 (* x (+ (* -1 (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/2 (pow x 3)) (* 1/6 (pow x 3)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (* 1/12 (pow x 4)))))))) (pow y 3))))))
(+.f64 x (+.f64 (+.f64 (*.f64 z (-.f64 t x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z #s(literal 0 binary64))) y)) (+.f64 (/.f64 (*.f64 z (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))))) (*.f64 y y)) (/.f64 (*.f64 z (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/12 binary64))) (*.f64 x (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))))))) (*.f64 y (*.f64 y y))))))
(+ x (* -1 (* z (- (* -1 t) (* -1 x)))))
(+.f64 x (*.f64 z (-.f64 t x)))
(+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1/2 (/ (* z (+ (* -1 (pow x 2)) (pow x 2))) y))))
(+.f64 x (+.f64 (*.f64 z (-.f64 t x)) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 z #s(literal 0 binary64))) y)))
(+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* 1/2 (* z (+ (* -1 (pow x 2)) (pow x 2)))) (/ (* z (- (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))) y)) y))))
(-.f64 (+.f64 x (*.f64 z (-.f64 t x))) (/.f64 (+.f64 (*.f64 (*.f64 z #s(literal 0 binary64)) #s(literal 1/2 binary64)) (/.f64 (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))))) y)) y))
(+ x (+ (* -1 (* z (- (* -1 t) (* -1 x)))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* z (- (* -1/2 (pow x 3)) (* 1/2 (+ (* -1/3 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))))) (/ (* z (- (+ (* 1/4 (* (pow x 2) (+ (* -1 (pow x 2)) (pow x 2)))) (* 1/2 (* x (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2)))))))) (* 1/2 (+ (* -1/2 (* (pow x 2) (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))) (+ (* -1/6 (pow x 4)) (+ (* 1/12 (pow x 4)) (* x (+ (* -1/6 (pow x 3)) (+ (* 1/2 (pow x 3)) (* x (+ (* -1 (pow x 2)) (* 1/2 (pow x 2))))))))))))) y)) y)) (* 1/2 (* z (+ (* -1 (pow x 2)) (pow x 2))))) y))))
(-.f64 (+.f64 x (*.f64 z (-.f64 t x))) (/.f64 (-.f64 (*.f64 (*.f64 z #s(literal 0 binary64)) #s(literal 1/2 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 z (+.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))) #s(literal 0 binary64)) (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/12 binary64)) (*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))))))))) y) (*.f64 z (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))))))) y)) y))
(* t z)
(*.f64 z t)
(+ (* t z) (* x (+ 1 (* -1 z))))
(+.f64 x (*.f64 z (-.f64 t x)))
(+ (* t z) (* x (+ 1 (+ (* -1 z) (* 1/3 (/ (* (pow x 2) z) (pow y 2)))))))
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(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 (+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/3 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))) (/.f64 (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) #s(literal -1/2 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1/12 binary64)) (*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))))))) #s(literal 0 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64))))))) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) y)) y)) (-.f64 #s(literal 0 binary64) y))
(* t (* x (pow z 2)))
(*.f64 t (*.f64 x (*.f64 z z)))
(* t (* x (pow z 2)))
(*.f64 t (*.f64 x (*.f64 z z)))
(* t (* x (pow z 2)))
(*.f64 t (*.f64 x (*.f64 z z)))
(* t (* x (pow z 2)))
(*.f64 t (*.f64 x (*.f64 z z)))
(* t (* x (pow z 2)))
(*.f64 t (*.f64 x (*.f64 z z)))
(* t (* x (pow z 2)))
(*.f64 t (*.f64 x (*.f64 z z)))
(* t (* x (pow z 2)))
(*.f64 t (*.f64 x (*.f64 z z)))
(* t (* x (pow z 2)))
(*.f64 t (*.f64 x (*.f64 z z)))
(* t (* x (pow z 2)))
(*.f64 t (*.f64 x (*.f64 z z)))
(* t (* x (pow z 2)))
(*.f64 t (*.f64 x (*.f64 z z)))
(* t (* x (pow z 2)))
(*.f64 t (*.f64 x (*.f64 z z)))
(* t (* x (pow z 2)))
(*.f64 t (*.f64 x (*.f64 z z)))
(* t (* x (pow z 2)))
(*.f64 t (*.f64 x (*.f64 z z)))
(* t (* x (pow z 2)))
(*.f64 t (*.f64 x (*.f64 z z)))
(* t (* x (pow z 2)))
(*.f64 t (*.f64 x (*.f64 z z)))
(* t (* x (pow z 2)))
(*.f64 t (*.f64 x (*.f64 z z)))
(* t (* x (pow z 2)))
(*.f64 t (*.f64 x (*.f64 z z)))
(* t (* x (pow z 2)))
(*.f64 t (*.f64 x (*.f64 z z)))
(* t (* x (pow z 2)))
(*.f64 t (*.f64 x (*.f64 z z)))
(* t (* x (pow z 2)))
(*.f64 t (*.f64 x (*.f64 z z)))
(* t (* x (pow z 2)))
(*.f64 t (*.f64 x (*.f64 z z)))
(* t (* x (pow z 2)))
(*.f64 t (*.f64 x (*.f64 z z)))
(* t (* x (pow z 2)))
(*.f64 t (*.f64 x (*.f64 z z)))
(* t (* x (pow z 2)))
(*.f64 t (*.f64 x (*.f64 z z)))
(* t (* x (pow z 2)))
(*.f64 t (*.f64 x (*.f64 z z)))
(* t (* x (pow z 2)))
(*.f64 t (*.f64 x (*.f64 z z)))
(* t (* x (pow z 2)))
(*.f64 t (*.f64 x (*.f64 z z)))
(* t (* x (pow z 2)))
(*.f64 t (*.f64 x (*.f64 z z)))
(* t (* x (pow z 2)))
(*.f64 t (*.f64 x (*.f64 z z)))
(* t (* x (pow z 2)))
(*.f64 t (*.f64 x (*.f64 z z)))
(* t (* x (pow z 2)))
(*.f64 t (*.f64 x (*.f64 z z)))
(* t (* x (pow z 2)))
(*.f64 t (*.f64 x (*.f64 z z)))
(* t (* x (pow z 2)))
(*.f64 t (*.f64 x (*.f64 z z)))
(* t (* x (pow z 2)))
(*.f64 t (*.f64 x (*.f64 z z)))
(* t (* x (pow z 2)))
(*.f64 t (*.f64 x (*.f64 z z)))
(* t (* x (pow z 2)))
(*.f64 t (*.f64 x (*.f64 z z)))
(* (pow x 2) (- (pow z 2) 1))
(*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))
(* (pow x 2) (- (pow z 2) 1))
(*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))
(* (pow x 2) (- (pow z 2) 1))
(*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))
(* (pow x 2) (- (pow z 2) 1))
(*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))
(* (pow x 2) (- (pow z 2) 1))
(*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))
(* (pow x 2) (- (pow z 2) 1))
(*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))
(* (pow x 2) (- (pow z 2) 1))
(*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))
(* (pow x 2) (- (pow z 2) 1))
(*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))
(* (pow x 2) (- (pow z 2) 1))
(*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))
(* (pow x 2) (- (pow z 2) 1))
(*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))
(* (pow x 2) (- (pow z 2) 1))
(*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))
(* (pow x 2) (- (pow z 2) 1))
(*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(+ (* -1 (pow x 2)) (* (pow x 2) (pow z 2)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))
(+ (* -1 (pow x 2)) (* (pow x 2) (pow z 2)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))
(+ (* -1 (pow x 2)) (* (pow x 2) (pow z 2)))
(*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))
(* (pow x 2) (pow z 2))
(*.f64 (*.f64 x x) (*.f64 z z))
(* (pow z 2) (+ (* -1 (/ (pow x 2) (pow z 2))) (pow x 2)))
(*.f64 (*.f64 z z) (-.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 z z))))
(* (pow z 2) (+ (* -1 (/ (pow x 2) (pow z 2))) (pow x 2)))
(*.f64 (*.f64 z z) (-.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 z z))))
(* (pow z 2) (+ (* -1 (/ (pow x 2) (pow z 2))) (pow x 2)))
(*.f64 (*.f64 z z) (-.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 z z))))
(* (pow x 2) (pow z 2))
(*.f64 (*.f64 x x) (*.f64 z z))
(* (pow z 2) (+ (* -1 (/ (pow x 2) (pow z 2))) (pow x 2)))
(*.f64 (*.f64 z z) (-.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 z z))))
(* (pow z 2) (+ (* -1 (/ (pow x 2) (pow z 2))) (pow x 2)))
(*.f64 (*.f64 z z) (-.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 z z))))
(* (pow z 2) (+ (* -1 (/ (pow x 2) (pow z 2))) (pow x 2)))
(*.f64 (*.f64 z z) (-.f64 (*.f64 x x) (/.f64 (*.f64 x x) (*.f64 z z))))

eval232.0ms (1.9%)

Compiler

Compiled 40523 to 3353 computations (91.7% saved)

prune177.0ms (1.5%)

Pruning

41 alts after pruning (34 fresh and 7 done)

PrunedKeptTotal
New1572101582
Fresh22426
Picked235
Done044
Total1576411617
Accuracy
100.0%
Counts
1617 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓67.1%
(fma.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x)
66.0%
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x)
✓96.3%
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
27.2%
(/.f64 (-.f64 (/.f64 (*.f64 z (-.f64 t x)) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x)))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
27.3%
(/.f64 (-.f64 (/.f64 (*.f64 z (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
27.2%
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x))))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
21.8%
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (*.f64 y z) (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))) (*.f64 x x)) (-.f64 (*.f64 (/.f64 z y) (*.f64 y (-.f64 t x))) x))
23.5%
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (+.f64 (*.f64 x x) (*.f64 (*.f64 z (-.f64 t x)) (-.f64 (*.f64 z (-.f64 t x)) x))))
16.7%
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))) (-.f64 (/.f64 (*.f64 y z) (*.f64 (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x))) (+.f64 t x))) x))
22.8%
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) x))
2.7%
(/.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) (*.f64 x t)))) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
27.3%
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64))) (neg.f64 (*.f64 x (+.f64 z #s(literal 1 binary64)))))
2.4%
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
60.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z (-.f64 t x)))))
✓90.7%
(+.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x)
60.8%
(+.f64 (*.f64 z (-.f64 t x)) x)
55.9%
(+.f64 x (/.f64 (-.f64 t x) (/.f64 y (*.f64 y z))))
53.1%
(+.f64 x (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y))
60.7%
(+.f64 x (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x))))
55.3%
(+.f64 x (*.f64 (/.f64 (-.f64 t x) (/.f64 y z)) y))
25.5%
(+.f64 x (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 y z) (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) y))
✓49.8%
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y))
56.2%
(+.f64 x (*.f64 (/.f64 z (/.f64 y t)) y))
29.7%
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x)))) (/.f64 (*.f64 y z) (+.f64 t x))))
60.7%
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))
55.9%
(+.f64 x (*.f64 (-.f64 t x) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y z))))
44.2%
(+.f64 x (*.f64 (*.f64 (/.f64 x (neg.f64 y)) y) z))
50.5%
(+.f64 x (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))) y) z))
41.7%
(+.f64 x (*.f64 (*.f64 (-.f64 (*.f64 t t) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) z))
66.0%
(+.f64 x (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z))
51.4%
(+.f64 x (*.f64 (*.f64 (*.f64 y (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) z))
66.0%
(+.f64 x (*.f64 (*.f64 z (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))) y))
54.7%
(+.f64 x (*.f64 (*.f64 y z) (/.f64 t y)))
31.8%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y)))))))
61.0%
(+.f64 x (*.f64 z t))
32.4%
(*.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z (-.f64 t x)))))
7.5%
(*.f64 (*.f64 x z) #s(literal -2 binary64))
41.2%
(*.f64 z (-.f64 (/.f64 x z) x))
✓17.4%
(*.f64 z t)
✓52.9%
(*.f64 x (-.f64 #s(literal 1 binary64) z))
✓62.4%
x
Compiler

Compiled 1947 to 719 computations (63.1% saved)

regimes113.0ms (0.9%)

Counts
64 → 2
Calls
Call 1
Inputs
x
(*.f64 z t)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 x z) #s(literal -2 binary64))
(+.f64 x (*.f64 z t))
(*.f64 z (-.f64 (/.f64 x z) x))
(+.f64 x (*.f64 z (-.f64 t x)))
(+.f64 x (*.f64 (-.f64 t x) z))
(+.f64 (*.f64 z (-.f64 t x)) x)
(+.f64 x (*.f64 (*.f64 y z) (/.f64 t y)))
(+.f64 x (*.f64 (/.f64 z (/.f64 y t)) y))
(+.f64 x (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x))))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 x (neg.f64 y))))
(+.f64 x (*.f64 (*.f64 (/.f64 x (neg.f64 y)) y) z))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y)))
(+.f64 x (*.f64 (*.f64 (/.f64 (-.f64 t x) y) y) z))
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y))
(+.f64 x (*.f64 (/.f64 (-.f64 t x) (/.f64 y z)) y))
(+.f64 x (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y))
(+.f64 x (/.f64 (-.f64 t x) (/.f64 y (*.f64 y z))))
(+.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z (-.f64 t x)))))
(+.f64 x (*.f64 (*.f64 (*.f64 y (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) z))
(+.f64 x (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))) y) z))
(+.f64 x (*.f64 (-.f64 t x) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y z))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (*.f64 z (-.f64 t x))))))
(+.f64 x (*.f64 (*.f64 (/.f64 z y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x)))))
(+.f64 x (*.f64 (/.f64 (*.f64 y z) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x)))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64))) (neg.f64 (*.f64 x (+.f64 z #s(literal 1 binary64)))))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))
(+.f64 x (*.f64 (*.f64 (-.f64 (*.f64 t t) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) z))
(+.f64 x (*.f64 (/.f64 y (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x)))) (/.f64 z (+.f64 t x))))
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x)))) (/.f64 (*.f64 y z) (+.f64 t x))))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) x))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z (-.f64 t x)))))
(/.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) (*.f64 x t)))) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (/.f64 (/.f64 t y) (/.f64 y t)) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (/.f64 t y) (/.f64 x y)))))
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) (/.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))))
(/.f64 (-.f64 (/.f64 (*.f64 z (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (-.f64 (/.f64 (*.f64 z (-.f64 t x)) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x)))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(+.f64 x (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 y z) (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) y))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x))))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 t x) y) (/.f64 (-.f64 t x) y)) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (*.f64 y z) (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))) (*.f64 x x)) (-.f64 (*.f64 (/.f64 z y) (*.f64 y (-.f64 t x))) x))
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (*.f64 y z) (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))) (-.f64 (/.f64 (*.f64 y z) (*.f64 (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x))) (+.f64 t x))) x))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (+.f64 (*.f64 x x) (*.f64 (*.f64 z (-.f64 t x)) (-.f64 (*.f64 z (-.f64 t x)) x))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (*.f64 y z) (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
(+.f64 x (*.f64 (*.f64 z (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))) y))
(+.f64 x (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z))
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x)
(fma.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x)
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y))
(+.f64 x (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z))
(+.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x)
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y)))))))
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y)))))))
Outputs
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x)
(+.f64 x (*.f64 z (-.f64 t x)))
Calls

5 calls:

29.0ms
z
21.0ms
x
19.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
17.0ms
t
17.0ms
y
Results
AccuracySegmentsBranch
96.3%1x
99.4%2y
96.3%1z
96.3%1t
96.3%1(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes28.0ms (0.2%)

Counts
62 → 2
Calls
Call 1
Inputs
x
(*.f64 z t)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 x z) #s(literal -2 binary64))
(+.f64 x (*.f64 z t))
(*.f64 z (-.f64 (/.f64 x z) x))
(+.f64 x (*.f64 z (-.f64 t x)))
(+.f64 x (*.f64 (-.f64 t x) z))
(+.f64 (*.f64 z (-.f64 t x)) x)
(+.f64 x (*.f64 (*.f64 y z) (/.f64 t y)))
(+.f64 x (*.f64 (/.f64 z (/.f64 y t)) y))
(+.f64 x (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x))))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 x (neg.f64 y))))
(+.f64 x (*.f64 (*.f64 (/.f64 x (neg.f64 y)) y) z))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y)))
(+.f64 x (*.f64 (*.f64 (/.f64 (-.f64 t x) y) y) z))
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y))
(+.f64 x (*.f64 (/.f64 (-.f64 t x) (/.f64 y z)) y))
(+.f64 x (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y))
(+.f64 x (/.f64 (-.f64 t x) (/.f64 y (*.f64 y z))))
(+.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z (-.f64 t x)))))
(+.f64 x (*.f64 (*.f64 (*.f64 y (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) z))
(+.f64 x (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))) y) z))
(+.f64 x (*.f64 (-.f64 t x) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y z))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (*.f64 z (-.f64 t x))))))
(+.f64 x (*.f64 (*.f64 (/.f64 z y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x)))))
(+.f64 x (*.f64 (/.f64 (*.f64 y z) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x)))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64))) (neg.f64 (*.f64 x (+.f64 z #s(literal 1 binary64)))))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))
(+.f64 x (*.f64 (*.f64 (-.f64 (*.f64 t t) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) z))
(+.f64 x (*.f64 (/.f64 y (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x)))) (/.f64 z (+.f64 t x))))
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x)))) (/.f64 (*.f64 y z) (+.f64 t x))))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) x))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z (-.f64 t x)))))
(/.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) (*.f64 x t)))) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (/.f64 (/.f64 t y) (/.f64 y t)) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (/.f64 t y) (/.f64 x y)))))
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) (/.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))))
(/.f64 (-.f64 (/.f64 (*.f64 z (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (-.f64 (/.f64 (*.f64 z (-.f64 t x)) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x)))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(+.f64 x (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 y z) (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) y))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x))))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 t x) y) (/.f64 (-.f64 t x) y)) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (*.f64 y z) (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))) (*.f64 x x)) (-.f64 (*.f64 (/.f64 z y) (*.f64 y (-.f64 t x))) x))
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (*.f64 y z) (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))) (-.f64 (/.f64 (*.f64 y z) (*.f64 (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x))) (+.f64 t x))) x))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (+.f64 (*.f64 x x) (*.f64 (*.f64 z (-.f64 t x)) (-.f64 (*.f64 z (-.f64 t x)) x))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (*.f64 y z) (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
(+.f64 x (*.f64 (*.f64 z (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))) y))
(+.f64 x (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z))
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x)
(fma.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x)
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y))
(+.f64 x (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z))
(+.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x)
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (*.f64 #s(literal 1 binary64) (/.f64 (sinh.f64 (/.f64 x y)) (cosh.f64 (/.f64 x y)))))))
Outputs
(+.f64 x (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z))
(+.f64 x (*.f64 z (-.f64 t x)))
Calls

1 calls:

18.0ms
y
Results
AccuracySegmentsBranch
99.4%2y
Compiler

Compiled 5 to 4 computations (20% saved)

regimes25.0ms (0.2%)

Counts
59 → 2
Calls
Call 1
Inputs
x
(*.f64 z t)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 x z) #s(literal -2 binary64))
(+.f64 x (*.f64 z t))
(*.f64 z (-.f64 (/.f64 x z) x))
(+.f64 x (*.f64 z (-.f64 t x)))
(+.f64 x (*.f64 (-.f64 t x) z))
(+.f64 (*.f64 z (-.f64 t x)) x)
(+.f64 x (*.f64 (*.f64 y z) (/.f64 t y)))
(+.f64 x (*.f64 (/.f64 z (/.f64 y t)) y))
(+.f64 x (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x))))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 x (neg.f64 y))))
(+.f64 x (*.f64 (*.f64 (/.f64 x (neg.f64 y)) y) z))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y)))
(+.f64 x (*.f64 (*.f64 (/.f64 (-.f64 t x) y) y) z))
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y))
(+.f64 x (*.f64 (/.f64 (-.f64 t x) (/.f64 y z)) y))
(+.f64 x (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y))
(+.f64 x (/.f64 (-.f64 t x) (/.f64 y (*.f64 y z))))
(+.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z (-.f64 t x)))))
(+.f64 x (*.f64 (*.f64 (*.f64 y (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) z))
(+.f64 x (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))) y) z))
(+.f64 x (*.f64 (-.f64 t x) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y z))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (*.f64 z (-.f64 t x))))))
(+.f64 x (*.f64 (*.f64 (/.f64 z y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x)))))
(+.f64 x (*.f64 (/.f64 (*.f64 y z) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x)))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64))) (neg.f64 (*.f64 x (+.f64 z #s(literal 1 binary64)))))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))
(+.f64 x (*.f64 (*.f64 (-.f64 (*.f64 t t) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) z))
(+.f64 x (*.f64 (/.f64 y (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x)))) (/.f64 z (+.f64 t x))))
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x)))) (/.f64 (*.f64 y z) (+.f64 t x))))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) x))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z (-.f64 t x)))))
(/.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) (*.f64 x t)))) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (/.f64 (/.f64 t y) (/.f64 y t)) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (/.f64 t y) (/.f64 x y)))))
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) (/.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))))
(/.f64 (-.f64 (/.f64 (*.f64 z (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (-.f64 (/.f64 (*.f64 z (-.f64 t x)) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x)))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(+.f64 x (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 y z) (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) y))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x))))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 t x) y) (/.f64 (-.f64 t x) y)) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (*.f64 y z) (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))) (*.f64 x x)) (-.f64 (*.f64 (/.f64 z y) (*.f64 y (-.f64 t x))) x))
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (*.f64 y z) (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))) (-.f64 (/.f64 (*.f64 y z) (*.f64 (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x))) (+.f64 t x))) x))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (+.f64 (*.f64 x x) (*.f64 (*.f64 z (-.f64 t x)) (-.f64 (*.f64 z (-.f64 t x)) x))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (*.f64 y z) (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
(+.f64 x (*.f64 (*.f64 z (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))) y))
(+.f64 x (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z))
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x)
(fma.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x)
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y))
Outputs
(+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y))
(+.f64 x (*.f64 z (-.f64 t x)))
Calls

1 calls:

17.0ms
y
Results
AccuracySegmentsBranch
99.0%2y
Compiler

Compiled 5 to 4 computations (20% saved)

regimes90.0ms (0.8%)

Counts
58 → 2
Calls
Call 1
Inputs
x
(*.f64 z t)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 x z) #s(literal -2 binary64))
(+.f64 x (*.f64 z t))
(*.f64 z (-.f64 (/.f64 x z) x))
(+.f64 x (*.f64 z (-.f64 t x)))
(+.f64 x (*.f64 (-.f64 t x) z))
(+.f64 (*.f64 z (-.f64 t x)) x)
(+.f64 x (*.f64 (*.f64 y z) (/.f64 t y)))
(+.f64 x (*.f64 (/.f64 z (/.f64 y t)) y))
(+.f64 x (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x))))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 x (neg.f64 y))))
(+.f64 x (*.f64 (*.f64 (/.f64 x (neg.f64 y)) y) z))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y)))
(+.f64 x (*.f64 (*.f64 (/.f64 (-.f64 t x) y) y) z))
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y))
(+.f64 x (*.f64 (/.f64 (-.f64 t x) (/.f64 y z)) y))
(+.f64 x (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y))
(+.f64 x (/.f64 (-.f64 t x) (/.f64 y (*.f64 y z))))
(+.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z (-.f64 t x)))))
(+.f64 x (*.f64 (*.f64 (*.f64 y (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) z))
(+.f64 x (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))) y) z))
(+.f64 x (*.f64 (-.f64 t x) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y z))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (*.f64 z (-.f64 t x))))))
(+.f64 x (*.f64 (*.f64 (/.f64 z y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x)))))
(+.f64 x (*.f64 (/.f64 (*.f64 y z) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x)))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64))) (neg.f64 (*.f64 x (+.f64 z #s(literal 1 binary64)))))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))
(+.f64 x (*.f64 (*.f64 (-.f64 (*.f64 t t) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) z))
(+.f64 x (*.f64 (/.f64 y (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x)))) (/.f64 z (+.f64 t x))))
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x)))) (/.f64 (*.f64 y z) (+.f64 t x))))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) x))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z (-.f64 t x)))))
(/.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) (*.f64 x t)))) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (/.f64 (/.f64 t y) (/.f64 y t)) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (/.f64 t y) (/.f64 x y)))))
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) (/.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))))
(/.f64 (-.f64 (/.f64 (*.f64 z (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (-.f64 (/.f64 (*.f64 z (-.f64 t x)) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x)))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(+.f64 x (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 y z) (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) y))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x))))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 t x) y) (/.f64 (-.f64 t x) y)) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (*.f64 y z) (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))) (*.f64 x x)) (-.f64 (*.f64 (/.f64 z y) (*.f64 y (-.f64 t x))) x))
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (*.f64 y z) (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))) (-.f64 (/.f64 (*.f64 y z) (*.f64 (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x))) (+.f64 t x))) x))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (+.f64 (*.f64 x x) (*.f64 (*.f64 z (-.f64 t x)) (-.f64 (*.f64 z (-.f64 t x)) x))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (*.f64 y z) (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
(+.f64 x (*.f64 (*.f64 z (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))) y))
(+.f64 x (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z))
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x)
(fma.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x)
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Outputs
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(+.f64 x (*.f64 z (-.f64 t x)))
Calls

5 calls:

18.0ms
y
17.0ms
x
17.0ms
z
16.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
15.0ms
t
Results
AccuracySegmentsBranch
90.7%1x
90.7%1z
90.7%1t
96.0%2(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
97.3%2y
Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes74.0ms (0.6%)

Counts
57 → 3
Calls
Call 1
Inputs
x
(*.f64 z t)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 x z) #s(literal -2 binary64))
(+.f64 x (*.f64 z t))
(*.f64 z (-.f64 (/.f64 x z) x))
(+.f64 x (*.f64 z (-.f64 t x)))
(+.f64 x (*.f64 (-.f64 t x) z))
(+.f64 (*.f64 z (-.f64 t x)) x)
(+.f64 x (*.f64 (*.f64 y z) (/.f64 t y)))
(+.f64 x (*.f64 (/.f64 z (/.f64 y t)) y))
(+.f64 x (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x))))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 x (neg.f64 y))))
(+.f64 x (*.f64 (*.f64 (/.f64 x (neg.f64 y)) y) z))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y)))
(+.f64 x (*.f64 (*.f64 (/.f64 (-.f64 t x) y) y) z))
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y))
(+.f64 x (*.f64 (/.f64 (-.f64 t x) (/.f64 y z)) y))
(+.f64 x (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y))
(+.f64 x (/.f64 (-.f64 t x) (/.f64 y (*.f64 y z))))
(+.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z (-.f64 t x)))))
(+.f64 x (*.f64 (*.f64 (*.f64 y (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) z))
(+.f64 x (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))) y) z))
(+.f64 x (*.f64 (-.f64 t x) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y z))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (*.f64 z (-.f64 t x))))))
(+.f64 x (*.f64 (*.f64 (/.f64 z y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x)))))
(+.f64 x (*.f64 (/.f64 (*.f64 y z) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x)))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64))) (neg.f64 (*.f64 x (+.f64 z #s(literal 1 binary64)))))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))
(+.f64 x (*.f64 (*.f64 (-.f64 (*.f64 t t) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) z))
(+.f64 x (*.f64 (/.f64 y (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x)))) (/.f64 z (+.f64 t x))))
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x)))) (/.f64 (*.f64 y z) (+.f64 t x))))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) x))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z (-.f64 t x)))))
(/.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) (*.f64 x t)))) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (/.f64 (/.f64 t y) (/.f64 y t)) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (/.f64 t y) (/.f64 x y)))))
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) (/.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))))
(/.f64 (-.f64 (/.f64 (*.f64 z (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (-.f64 (/.f64 (*.f64 z (-.f64 t x)) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x)))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(+.f64 x (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 y z) (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) y))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x))))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 t x) y) (/.f64 (-.f64 t x) y)) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (*.f64 y z) (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))) (*.f64 x x)) (-.f64 (*.f64 (/.f64 z y) (*.f64 y (-.f64 t x))) x))
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (*.f64 y z) (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))) (-.f64 (/.f64 (*.f64 y z) (*.f64 (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x))) (+.f64 t x))) x))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (+.f64 (*.f64 x x) (*.f64 (*.f64 z (-.f64 t x)) (-.f64 (*.f64 z (-.f64 t x)) x))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (*.f64 y z) (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
(+.f64 x (*.f64 (*.f64 z (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))) y))
(+.f64 x (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z))
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x)
(fma.f64 (*.f64 (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y))) y) z x)
Outputs
x
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x)
(+.f64 x (*.f64 z (-.f64 t x)))
Calls

4 calls:

17.0ms
t
17.0ms
y
16.0ms
x
16.0ms
z
Results
AccuracySegmentsBranch
79.3%3t
83.0%4x
75.6%4z
85.3%3y
Compiler

Compiled 20 to 16 computations (20% saved)

regimes27.0ms (0.2%)

Counts
55 → 3
Calls
Call 1
Inputs
x
(*.f64 z t)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 x z) #s(literal -2 binary64))
(+.f64 x (*.f64 z t))
(*.f64 z (-.f64 (/.f64 x z) x))
(+.f64 x (*.f64 z (-.f64 t x)))
(+.f64 x (*.f64 (-.f64 t x) z))
(+.f64 (*.f64 z (-.f64 t x)) x)
(+.f64 x (*.f64 (*.f64 y z) (/.f64 t y)))
(+.f64 x (*.f64 (/.f64 z (/.f64 y t)) y))
(+.f64 x (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x))))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 x (neg.f64 y))))
(+.f64 x (*.f64 (*.f64 (/.f64 x (neg.f64 y)) y) z))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y)))
(+.f64 x (*.f64 (*.f64 (/.f64 (-.f64 t x) y) y) z))
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y))
(+.f64 x (*.f64 (/.f64 (-.f64 t x) (/.f64 y z)) y))
(+.f64 x (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y))
(+.f64 x (/.f64 (-.f64 t x) (/.f64 y (*.f64 y z))))
(+.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z (-.f64 t x)))))
(+.f64 x (*.f64 (*.f64 (*.f64 y (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) z))
(+.f64 x (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))) y) z))
(+.f64 x (*.f64 (-.f64 t x) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y z))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (*.f64 z (-.f64 t x))))))
(+.f64 x (*.f64 (*.f64 (/.f64 z y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x)))))
(+.f64 x (*.f64 (/.f64 (*.f64 y z) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x)))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64))) (neg.f64 (*.f64 x (+.f64 z #s(literal 1 binary64)))))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))
(+.f64 x (*.f64 (*.f64 (-.f64 (*.f64 t t) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) z))
(+.f64 x (*.f64 (/.f64 y (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x)))) (/.f64 z (+.f64 t x))))
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x)))) (/.f64 (*.f64 y z) (+.f64 t x))))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) x))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z (-.f64 t x)))))
(/.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) (*.f64 x t)))) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (/.f64 (/.f64 t y) (/.f64 y t)) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (/.f64 t y) (/.f64 x y)))))
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) (/.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))))
(/.f64 (-.f64 (/.f64 (*.f64 z (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (-.f64 (/.f64 (*.f64 z (-.f64 t x)) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x)))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(+.f64 x (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 y z) (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) y))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x))))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 t x) y) (/.f64 (-.f64 t x) y)) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (*.f64 y z) (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))) (*.f64 x x)) (-.f64 (*.f64 (/.f64 z y) (*.f64 y (-.f64 t x))) x))
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (*.f64 y z) (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))) (-.f64 (/.f64 (*.f64 y z) (*.f64 (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x))) (+.f64 t x))) x))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (+.f64 (*.f64 x x) (*.f64 (*.f64 z (-.f64 t x)) (-.f64 (*.f64 z (-.f64 t x)) x))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (*.f64 y z) (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
(+.f64 x (*.f64 (*.f64 z (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))) y))
(+.f64 x (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z))
Outputs
x
(+.f64 x (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z))
(+.f64 x (*.f64 z (-.f64 t x)))
Calls

1 calls:

18.0ms
y
Results
AccuracySegmentsBranch
85.3%3y
Compiler

Compiled 5 to 4 computations (20% saved)

regimes24.0ms (0.2%)

Counts
54 → 3
Calls
Call 1
Inputs
x
(*.f64 z t)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 x z) #s(literal -2 binary64))
(+.f64 x (*.f64 z t))
(*.f64 z (-.f64 (/.f64 x z) x))
(+.f64 x (*.f64 z (-.f64 t x)))
(+.f64 x (*.f64 (-.f64 t x) z))
(+.f64 (*.f64 z (-.f64 t x)) x)
(+.f64 x (*.f64 (*.f64 y z) (/.f64 t y)))
(+.f64 x (*.f64 (/.f64 z (/.f64 y t)) y))
(+.f64 x (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x))))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 x (neg.f64 y))))
(+.f64 x (*.f64 (*.f64 (/.f64 x (neg.f64 y)) y) z))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y)))
(+.f64 x (*.f64 (*.f64 (/.f64 (-.f64 t x) y) y) z))
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y))
(+.f64 x (*.f64 (/.f64 (-.f64 t x) (/.f64 y z)) y))
(+.f64 x (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y))
(+.f64 x (/.f64 (-.f64 t x) (/.f64 y (*.f64 y z))))
(+.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z (-.f64 t x)))))
(+.f64 x (*.f64 (*.f64 (*.f64 y (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) z))
(+.f64 x (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))) y) z))
(+.f64 x (*.f64 (-.f64 t x) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y z))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (*.f64 z (-.f64 t x))))))
(+.f64 x (*.f64 (*.f64 (/.f64 z y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x)))))
(+.f64 x (*.f64 (/.f64 (*.f64 y z) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x)))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64))) (neg.f64 (*.f64 x (+.f64 z #s(literal 1 binary64)))))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))
(+.f64 x (*.f64 (*.f64 (-.f64 (*.f64 t t) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) z))
(+.f64 x (*.f64 (/.f64 y (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x)))) (/.f64 z (+.f64 t x))))
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x)))) (/.f64 (*.f64 y z) (+.f64 t x))))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) x))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z (-.f64 t x)))))
(/.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) (*.f64 x t)))) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (/.f64 (/.f64 t y) (/.f64 y t)) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (/.f64 t y) (/.f64 x y)))))
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) (/.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))))
(/.f64 (-.f64 (/.f64 (*.f64 z (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (-.f64 (/.f64 (*.f64 z (-.f64 t x)) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x)))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(+.f64 x (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 y z) (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) y))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x))))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 t x) y) (/.f64 (-.f64 t x) y)) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (*.f64 y z) (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))) (*.f64 x x)) (-.f64 (*.f64 (/.f64 z y) (*.f64 y (-.f64 t x))) x))
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (*.f64 y z) (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))) (-.f64 (/.f64 (*.f64 y z) (*.f64 (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x))) (+.f64 t x))) x))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (+.f64 (*.f64 x x) (*.f64 (*.f64 z (-.f64 t x)) (-.f64 (*.f64 z (-.f64 t x)) x))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (*.f64 y z) (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))))
(+.f64 x (*.f64 (*.f64 z (-.f64 (/.f64 t y) (tanh.f64 (/.f64 x y)))) y))
Outputs
x
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))
(+.f64 x (*.f64 z (-.f64 t x)))
Calls

1 calls:

14.0ms
y
Results
AccuracySegmentsBranch
84.3%3y
Compiler

Compiled 5 to 4 computations (20% saved)

regimes18.0ms (0.1%)

Counts
51 → 2
Calls
Call 1
Inputs
x
(*.f64 z t)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 (*.f64 x z) #s(literal -2 binary64))
(+.f64 x (*.f64 z t))
(*.f64 z (-.f64 (/.f64 x z) x))
(+.f64 x (*.f64 z (-.f64 t x)))
(+.f64 x (*.f64 (-.f64 t x) z))
(+.f64 (*.f64 z (-.f64 t x)) x)
(+.f64 x (*.f64 (*.f64 y z) (/.f64 t y)))
(+.f64 x (*.f64 (/.f64 z (/.f64 y t)) y))
(+.f64 x (/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 t x))))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 x (neg.f64 y))))
(+.f64 x (*.f64 (*.f64 (/.f64 x (neg.f64 y)) y) z))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 t x) y)))
(+.f64 x (*.f64 (*.f64 (/.f64 (-.f64 t x) y) y) z))
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x))) z))
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 t x))) y))
(+.f64 x (*.f64 (/.f64 (-.f64 t x) (/.f64 y z)) y))
(+.f64 x (/.f64 (*.f64 y (*.f64 z (-.f64 t x))) y))
(+.f64 x (/.f64 (-.f64 t x) (/.f64 y (*.f64 y z))))
(+.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z (-.f64 t x)))))
(+.f64 x (*.f64 (*.f64 (*.f64 y (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) z))
(+.f64 x (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 t x))) y) z))
(+.f64 x (*.f64 (-.f64 t x) (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 y z))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (*.f64 z (-.f64 t x))))))
(+.f64 x (*.f64 (*.f64 (/.f64 z y) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x)))))
(+.f64 x (*.f64 (/.f64 (*.f64 y z) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 t x)))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64))) (neg.f64 (*.f64 x (+.f64 z #s(literal 1 binary64)))))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))))
(+.f64 x (*.f64 (*.f64 (-.f64 (*.f64 t t) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) z))
(+.f64 x (*.f64 (/.f64 y (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x)))) (/.f64 z (+.f64 t x))))
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x)))) (/.f64 (*.f64 y z) (+.f64 t x))))
(/.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) x))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z (-.f64 t x)))))
(/.f64 (*.f64 (*.f64 z z) (+.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) (*.f64 x t)))) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(+.f64 x (*.f64 (*.f64 y z) (/.f64 (-.f64 (/.f64 (/.f64 t y) (/.f64 y t)) (*.f64 (/.f64 x y) (/.f64 x y))) (+.f64 (/.f64 t y) (/.f64 x y)))))
(+.f64 x (*.f64 (/.f64 z (/.f64 y (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x))))) (/.f64 y (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))))
(/.f64 (-.f64 (/.f64 (*.f64 z (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) (-.f64 t x))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (-.f64 (/.f64 (*.f64 z (-.f64 t x)) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x)))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(+.f64 x (*.f64 (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 y z) (+.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) y))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x))) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 t x))))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 t x) y) (/.f64 (-.f64 t x) y)) (*.f64 y (*.f64 z (*.f64 y z)))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (*.f64 y z) (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))) (*.f64 x x)) (-.f64 (*.f64 (/.f64 z y) (*.f64 y (-.f64 t x))) x))
(/.f64 (-.f64 (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (*.f64 y z) (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))) (*.f64 x x)) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))
(/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 x (*.f64 z z)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 z z) #s(literal -1 binary64)))) (-.f64 (/.f64 (*.f64 y z) (*.f64 (/.f64 y (-.f64 (*.f64 t t) (*.f64 x x))) (+.f64 t x))) x))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (+.f64 (*.f64 x x) (*.f64 (*.f64 z (-.f64 t x)) (-.f64 (*.f64 z (-.f64 t x)) x))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) (*.f64 (/.f64 (-.f64 t x) y) (*.f64 (*.f64 y z) (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))))))) (+.f64 (*.f64 x x) (*.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) (-.f64 (/.f64 (*.f64 y z) (/.f64 y (-.f64 t x))) x))))
Outputs
x
(+.f64 x (*.f64 z (-.f64 t x)))
Calls

1 calls:

14.0ms
y
Results
AccuracySegmentsBranch
80.2%2y
Compiler

Compiled 5 to 4 computations (20% saved)

regimes8.0ms (0.1%)

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

3 calls:

3.0ms
x
3.0ms
y
3.0ms
t
Results
AccuracySegmentsBranch
67.9%3t
68.0%3x
74.4%2y
Compiler

Compiled 15 to 12 computations (20% saved)

regimes4.0ms (0%)

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

2 calls:

2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
64.5%2z
68.6%2y
Compiler

Compiled 10 to 8 computations (20% saved)

regimes16.0ms (0.1%)

Accuracy

Total -37.9b remaining (-157.8%)

Threshold costs -37.9b (-157.8%)

Counts
2 → 1
Calls
Call 1
Inputs
x
(*.f64 z t)
Outputs
x
Calls

4 calls:

11.0ms
y
2.0ms
x
1.0ms
z
1.0ms
t
Results
AccuracySegmentsBranch
62.4%1z
62.4%1t
62.4%1x
62.4%1y
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch21.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
19.0ms
1.2960141789768966e+229
2.9988992425214194e+232
Results
14.0ms126×0valid
0.0ms2×1valid
Compiler

Compiled 274 to 178 computations (35% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 5.0ms (50% of total)
ival-mult: 2.0ms (20% of total)
ival-tanh: 2.0ms (20% of total)
ival-add: 1.0ms (10% of total)
ival-sub: 1.0ms (10% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch21.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
19.0ms
1.2960141789768966e+229
2.9988992425214194e+232
Results
14.0ms125×0valid
1.0ms3×1valid
Compiler

Compiled 282 to 186 computations (34% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 2.0ms (27.7% of total)
ival-mult: 2.0ms (27.7% of total)
ival-tanh: 2.0ms (27.7% of total)
ival-add: 1.0ms (13.8% of total)
ival-sub: 1.0ms (13.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
1.2960141789768966e+229
2.9988992425214194e+232
Results
11.0ms127×0valid
0.0ms1×1valid
Compiler

Compiled 282 to 186 computations (34% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 2.0ms (30% of total)
ival-mult: 2.0ms (30% of total)
ival-add: 1.0ms (15% of total)
ival-sub: 1.0ms (15% of total)
ival-tanh: 1.0ms (15% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch22.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
20.0ms
2.359939853588653e+156
1.7571066821983497e+157
Results
16.0ms94×0valid
0.0ms2×1valid
Compiler

Compiled 218 to 144 computations (33.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 1.0ms (19.4% of total)
ival-add: 1.0ms (19.4% of total)
ival-mult: 1.0ms (19.4% of total)
ival-tanh: 1.0ms (19.4% of total)
ival-sub: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch72.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×predicate-same
1×narrow-enough
Steps
TimeLeftRight
53.0ms
1.2960141789768966e+229
2.9988992425214194e+232
16.0ms
4.606209864904703e-64
1.5315697792254327e-63
Results
16.0ms174×0valid
0.0ms2×1valid
Compiler

Compiled 326 to 212 computations (35% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 3.0ms (31.8% of total)
ival-mult: 3.0ms (31.8% of total)
ival-tanh: 2.0ms (21.2% of total)
ival-add: 1.0ms (10.6% of total)
ival-sub: 1.0ms (10.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch28.0ms (0.2%)

Algorithm
2×binary-search
Stop Event
1×predicate-same
1×narrow-enough
Steps
TimeLeftRight
16.0ms
1.2960141789768966e+229
2.9988992425214194e+232
10.0ms
4.606209864904703e-64
1.5315697792254327e-63
Results
19.0ms173×0valid
1.0ms3×1valid
Compiler

Compiled 337 to 223 computations (33.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 7.0ms (50.9% of total)
ival-mult: 3.0ms (21.8% of total)
ival-tanh: 2.0ms (14.5% of total)
ival-add: 1.0ms (7.3% of total)
ival-sub: 1.0ms (7.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch34.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
1.403537662018801e+129
2.649770721152844e+131
11.0ms
4.606209864904703e-64
1.5315697792254327e-63
Results
23.0ms183×0valid
2.0ms9×1valid
Compiler

Compiled 368 to 243 computations (34% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-tanh: 8.0ms (45% of total)
ival-div: 4.0ms (22.5% of total)
ival-mult: 3.0ms (16.9% of total)
ival-add: 1.0ms (5.6% of total)
ival-sub: 1.0ms (5.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
1.0801150372042086e+33
4.6341315848343405e+33
Results
10.0ms96×0valid
Compiler

Compiled 134 to 96 computations (28.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-tanh: 2.0ms (31.8% of total)
ival-div: 1.0ms (15.9% of total)
ival-mult: 1.0ms (15.9% of total)
ival-sub: 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)

bsearch15.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
45193333522404110.0
4790195279598261000.0
Results
10.0ms111×0valid
0.0ms1×1valid
Compiler

Compiled 138 to 102 computations (26.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (34.3% of total)
ival-mult: 2.0ms (34.3% of total)
ival-add: 1.0ms (17.1% of total)
ival-sub: 1.0ms (17.1% of total)
ival-tanh: 1.0ms (17.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch16.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
6.724991986168455e+115
9.479050404708417e+117
Results
11.0ms110×0valid
0.0ms2×1valid
Compiler

Compiled 138 to 109 computations (21% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (41.3% of total)
ival-div: 2.0ms (27.6% of total)
ival-add: 1.0ms (13.8% of total)
ival-sub: 1.0ms (13.8% of total)
ival-tanh: 1.0ms (13.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify54.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
34×*-commutative_binary64
32×+-commutative_binary64
18×sub-neg_binary64
10×neg-sub0_binary64
10×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073225
1103225
2119225
3129225
4135225
5136225
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal 57999999999999996294826443701756127107209692625267113166114625835171159074512955850848029275915531662491238862024365024466820976477664145064758671497063385233971975146441931050499570959546954022787036378391286308196947672822710272 binary64)) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (+.f64 x (*.f64 z (-.f64 t x))))
(if (<=.f64 y #s(literal 1200000000000000033297666580237589080754200361936458827089971265204595671153160110275820667506003103771596791068239960554723592077678741048722040979919358737909293847420708445515723234591735013594631902295664744017734763859937329152 binary64)) (+.f64 x (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z)) (+.f64 x (*.f64 z (-.f64 t x))))
(if (<=.f64 y #s(literal 17500000000000001203774859386536103616301907287473591698201808696357691154482204240506614867823980175921724289511909298947127065629680965378116247515586002373561511961222130210990835735866438088023540318284639181699203943282769920 binary64)) (+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y)) (+.f64 x (*.f64 z (-.f64 t x))))
(if (<=.f64 y #s(literal 12599999999999999637896542378817635430531138429225680235343527257388857584967984767889016814959959976128769654491906219562510421424440870474869743200860372992 binary64)) (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (+.f64 x (*.f64 z (-.f64 t x))))
(if (<=.f64 y #s(literal 3483026044258471/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) x (if (<=.f64 y #s(literal 50000000000000004978322216300255859307940775126853620144447441444144841048874767756413678479557303886746221726677047727400523075720944169118017456955450051308142127074213512132587827598340471265285454644683672657941808345790808064 binary64)) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x) (+.f64 x (*.f64 z (-.f64 t x)))))
(if (<=.f64 y #s(literal 5558020283391177/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) x (if (<=.f64 y #s(literal 1500000000000000084713116530781262122260939572974587562050847746233184845951367295783829642384189974469652254021304543144848970966910385815957740218404919669129675910456093479727846357123886915379399382457952629908602773044442693632 binary64)) (+.f64 x (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z)) (+.f64 x (*.f64 z (-.f64 t x)))))
(if (<=.f64 y #s(literal 4298202352489177/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) x (if (<=.f64 y #s(literal 249999999999999997707391850590319140921652212495621227996023056629417287916399909050260733496635392592400563293957495681247365562368 binary64)) (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) (+.f64 x (*.f64 z (-.f64 t x)))))
(if (<=.f64 y #s(literal 1349999999999999955349599447678976 binary64)) x (+.f64 x (*.f64 z (-.f64 t x))))
(if (<=.f64 y #s(literal 2050000000000000000 binary64)) x (+.f64 x (*.f64 z t)))
(if (<=.f64 y #s(literal 78000000000000001213634458098413755892919708959842791802842105273605034930850944854668860413373700918744089907691520 binary64)) x (*.f64 x (-.f64 #s(literal 1 binary64) z)))
x
Outputs
(if (<=.f64 y #s(literal 57999999999999996294826443701756127107209692625267113166114625835171159074512955850848029275915531662491238862024365024466820976477664145064758671497063385233971975146441931050499570959546954022787036378391286308196947672822710272 binary64)) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z x) (+.f64 x (*.f64 z (-.f64 t x))))
(if (<=.f64 y #s(literal 57999999999999996294826443701756127107209692625267113166114625835171159074512955850848029275915531662491238862024365024466820976477664145064758671497063385233971975146441931050499570959546954022787036378391286308196947672822710272 binary64)) (fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z x) (+.f64 x (*.f64 z (-.f64 t x))))
(if (<=.f64 y #s(literal 1200000000000000033297666580237589080754200361936458827089971265204595671153160110275820667506003103771596791068239960554723592077678741048722040979919358737909293847420708445515723234591735013594631902295664744017734763859937329152 binary64)) (+.f64 x (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) y) z)) (+.f64 x (*.f64 z (-.f64 t x))))
(if (<=.f64 y #s(literal 1200000000000000033297666580237589080754200361936458827089971265204595671153160110275820667506003103771596791068239960554723592077678741048722040979919358737909293847420708445515723234591735013594631902295664744017734763859937329152 binary64)) (+.f64 x (*.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z)) (+.f64 x (*.f64 z (-.f64 t x))))
(if (<=.f64 y #s(literal 17500000000000001203774859386536103616301907287473591698201808696357691154482204240506614867823980175921724289511909298947127065629680965378116247515586002373561511961222130210990835735866438088023540318284639181699203943282769920 binary64)) (+.f64 x (*.f64 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y)) (+.f64 x (*.f64 z (-.f64 t x))))
(if (<=.f64 y #s(literal 17500000000000001203774859386536103616301907287473591698201808696357691154482204240506614867823980175921724289511909298947127065629680965378116247515586002373561511961222130210990835735866438088023540318284639181699203943282769920 binary64)) (+.f64 x (*.f64 y (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) z))) (+.f64 x (*.f64 z (-.f64 t x))))
(if (<=.f64 y #s(literal 12599999999999999637896542378817635430531138429225680235343527257388857584967984767889016814959959976128769654491906219562510421424440870474869743200860372992 binary64)) (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) (+.f64 x (*.f64 z (-.f64 t x))))
(if (<=.f64 y #s(literal 12599999999999999637896542378817635430531138429225680235343527257388857584967984767889016814959959976128769654491906219562510421424440870474869743200860372992 binary64)) (+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (+.f64 x (*.f64 z (-.f64 t x))))
(if (<=.f64 y #s(literal 3483026044258471/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) x (if (<=.f64 y #s(literal 50000000000000004978322216300255859307940775126853620144447441444144841048874767756413678479557303886746221726677047727400523075720944169118017456955450051308142127074213512132587827598340471265285454644683672657941808345790808064 binary64)) (fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z x) (+.f64 x (*.f64 z (-.f64 t x)))))
(if (<=.f64 y #s(literal 3483026044258471/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) x (if (<=.f64 y #s(literal 50000000000000004978322216300255859307940775126853620144447441444144841048874767756413678479557303886746221726677047727400523075720944169118017456955450051308142127074213512132587827598340471265285454644683672657941808345790808064 binary64)) (fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))) z x) (+.f64 x (*.f64 z (-.f64 t x)))))
(if (<=.f64 y #s(literal 5558020283391177/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) x (if (<=.f64 y #s(literal 1500000000000000084713116530781262122260939572974587562050847746233184845951367295783829642384189974469652254021304543144848970966910385815957740218404919669129675910456093479727846357123886915379399382457952629908602773044442693632 binary64)) (+.f64 x (*.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)) y) z)) (+.f64 x (*.f64 z (-.f64 t x)))))
(if (<=.f64 y #s(literal 5558020283391177/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) x (if (<=.f64 y #s(literal 1500000000000000084713116530781262122260939572974587562050847746233184845951367295783829642384189974469652254021304543144848970966910385815957740218404919669129675910456093479727846357123886915379399382457952629908602773044442693632 binary64)) (+.f64 x (*.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y))))) (+.f64 x (*.f64 z (-.f64 t x)))))
(if (<=.f64 y #s(literal 4298202352489177/7410693711188236507108543040556026102609279018600996098525285376506440296955904 binary64)) x (if (<=.f64 y #s(literal 249999999999999997707391850590319140921652212495621227996023056629417287916399909050260733496635392592400563293957495681247365562368 binary64)) (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (/.f64 x y)))) (+.f64 x (*.f64 z (-.f64 t x)))))
(if (<=.f64 y #s(literal 1349999999999999955349599447678976 binary64)) x (+.f64 x (*.f64 z (-.f64 t x))))
(if (<=.f64 y #s(literal 2050000000000000000 binary64)) x (+.f64 x (*.f64 z t)))
(if (<=.f64 y #s(literal 2050000000000000000 binary64)) x (+.f64 x (*.f64 t z)))
(if (<=.f64 y #s(literal 78000000000000001213634458098413755892919708959842791802842105273605034930850944854668860413373700918744089907691520 binary64)) x (*.f64 x (-.f64 #s(literal 1 binary64) z)))
x

soundness1.4s (12.2%)

Rules
5750×+-lowering-+.f64
5750×+-lowering-+.f32
4676×*-lowering-*.f32
4676×*-lowering-*.f64
3988×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
076220874
1279517687
0883217687
04959897
118357218
089677218
01248
19147
289247
0826947
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 546 to 278 computations (49.1% saved)

preprocess99.0ms (0.8%)

Compiler

Compiled 592 to 228 computations (61.5% saved)

end0.0ms (0%)

Profiling

Loading profile data...