SynthBasics:moogVCF from YampaSynth-0.2

Time bar (total: 13.6s)

analyze70.0ms (0.5%)

Memory
22.7MiB live, 135.1MiB allocated
Algorithm
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 17 to 14 computations (17.6% saved)

sample1.6s (11.9%)

Memory
-46.3MiB live, 1 506.3MiB allocated
Samples
1.0s8 058×0valid
32.0ms198×1valid
Precisions
Click to see histograms. Total time spent on operations: 579.0ms
ival-div: 196.0ms (33.8% of total)
ival-mult: 167.0ms (28.8% of total)
ival-tanh: 89.0ms (15.4% of total)
ival-add: 64.0ms (11.1% of total)
ival-sub: 49.0ms (8.5% of total)
ival-true: 6.0ms (1% of total)
adjust: 4.0ms (0.7% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

preprocess463.0ms (3.4%)

Memory
-0.8MiB live, 540.2MiB allocated
Algorithm
egg-herbie
Rules
12 492×lower-fma.f64
12 492×lower-fma.f32
3 782×lower-*.f32
3 778×lower-*.f64
2 164×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076226
1399224
21184210
34721210
01215
02015
16215
216515
342715
4165815
5638315
0840814
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(+.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)))))
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
Symmetry

(abs y)

explain175.0ms (1.3%)

Memory
-11.1MiB live, 361.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
120-0-(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
00-0-(/.f64 x y)
00-0-(/.f64 t y)
00-0-t
00-0-(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
00-0-(tanh.f64 (/.f64 x y))
00-0-z
00-0-(tanh.f64 (/.f64 t y))
00-0-y
00-0-(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
00-0-(*.f64 y z)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))n*o80
*.f64(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))o*u40
(*.f64 y z)overflow29
(/.f64 t y)underflow27
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))underflow42
(tanh.f64 (/.f64 x y))underflow31
(/.f64 x y)underflow31
(tanh.f64 (/.f64 t y))underflow27
Confusion
Predicted +Predicted -
+120
-0244
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+1200
-00244
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0244
112
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
47.0ms442×0valid
15.0ms58×2valid
2.0ms12×1valid
Compiler

Compiled 158 to 52 computations (67.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-div: 16.0ms (42.6% of total)
ival-mult: 7.0ms (18.6% of total)
ival-tanh: 6.0ms (16% of total)
ival-sub: 3.0ms (8% of total)
ival-add: 3.0ms (8% of total)
adjust: 2.0ms (5.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.5%
(+.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)

simplify381.0ms (2.8%)

Memory
20.8MiB live, 583.4MiB allocated
Algorithm
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-diff128
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Rules
12 492×lower-fma.f64
12 492×lower-fma.f32
3 782×lower-*.f32
3 778×lower-*.f64
2 164×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01258
02058
16258
216558
342758
4165858
5638358
0840857
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
x
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(*.f64 y z)
y
z
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
(tanh.f64 (/.f64 x y))
(/.f64 x y)
Outputs
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
x
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
(*.f64 y z)
y
z
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
(tanh.f64 (/.f64 x y))
(/.f64 x y)

localize41.0ms (0.3%)

Memory
1.8MiB live, 80.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
accuracy100.0%
(tanh.f64 (/.f64 x y))
accuracy100.0%
(tanh.f64 (/.f64 t y))
accuracy95.5%
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
Samples
19.0ms221×0valid
9.0ms29×2valid
1.0ms1valid
Compiler

Compiled 60 to 14 computations (76.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 4.0ms (25.9% of total)
ival-mult: 4.0ms (25.9% of total)
ival-tanh: 3.0ms (19.4% of total)
ival-sub: 1.0ms (6.5% of total)
adjust: 1.0ms (6.5% of total)
ival-add: 1.0ms (6.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series78.0ms (0.6%)

Memory
-12.5MiB live, 64.8MiB allocated
Counts
6 → 204
Calls
Call 1
Inputs
#<alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))>
#<alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))>
#<alt (*.f64 y z)>
#<alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))>
#<alt (tanh.f64 (/.f64 t y))>
#<alt (tanh.f64 (/.f64 x 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)))))))))>
#<alt (* -1 (* z (+ (* -1 (* 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))))))))) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* 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))))))))) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* 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))))))))) (* -1 (/ x z)))))>
#<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))))))))))>
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Calls

51 calls:

TimeVariablePointExpression
28.0ms
y
@inf
(- (tanh (/ t y)) (tanh (/ x y)))
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)))))
4.0ms
x
@-inf
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))
3.0ms
y
@-inf
(+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))))

simplify435.0ms (3.2%)

Memory
22.3MiB live, 528.3MiB allocated
Algorithm
egg-herbie
Rules
13 264×lower-fma.f64
13 264×lower-fma.f32
4 518×lower-*.f64
4 518×lower-*.f32
4 012×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049510076
116787475
269427471
082247285
Stop Event
iter limit
node limit
Counts
204 → 200
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))))))))))
(+ (* 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))))))))))
x
(* 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)))
(* 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)))
(* 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)))
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)))
(* -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)))
(* -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)))
x
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Outputs
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(* t (+ (* -1/3 (/ (pow t 2) (pow y 3))) (/ 1 y)))
(*.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t t) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)))
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(/ 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)
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(/ t y)
(/.f64 t y)
(* -1 (/ (+ (* -1 t) (* -1/2 (/ (+ (* -1 (pow t 2)) (pow t 2)) y))) y))
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) y) t) y))
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(* -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))
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(/ x y)
(/.f64 x y)
(* x (+ (* -1/3 (/ (pow x 2) (pow y 3))) (/ 1 y)))
(fma.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 y (*.f64 y y))) (/.f64 x y))
(* x (+ (* (pow x 2) (- (* 2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))
(fma.f64 x (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y y))))) (/.f64 x 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)))
(fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -17/315 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y y)))) (/.f64 x y))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 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)) (exp.f64 (/.f64 x (neg.f64 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)) (exp.f64 (/.f64 x (neg.f64 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)) (exp.f64 (/.f64 x (neg.f64 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)))))
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(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 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)) (exp.f64 (/.f64 x (neg.f64 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)))))
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(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 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)) (exp.f64 (/.f64 x (neg.f64 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)) (exp.f64 (/.f64 x (neg.f64 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)) (exp.f64 (/.f64 x (neg.f64 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 (fma.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y))) x) 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)
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(/ 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 (fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (*.f64 y y)) (neg.f64 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 (neg.f64 x) (/.f64 (/.f64 (fma.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/12 binary64))) (*.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/4 binary64))) (fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x #s(literal 1/2 binary64)) #s(literal 0 binary64))) (neg.f64 y))) (neg.f64 y)) y)) (neg.f64 y))

rewrite360.0ms (2.6%)

Memory
-2.7MiB live, 560.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 094×lower-*.f32
5 090×lower-*.f64
4 102×lower-/.f32
4 098×lower-/.f64
2 936×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01248
02048
19948
287148
0820847
Stop Event
iter limit
node limit
iter limit
Counts
6 → 312
Calls
Call 1
Inputs
(+.f64 x (*.f64 (*.f64 y z) (-.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 y z)
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
(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)))))
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(/.f64 (neg.f64 (neg.f64 (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))))
(/.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 (neg.f64 x) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) #s(literal 3 binary64))) (fma.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)))) (fma.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 x) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 (neg.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 (neg.f64 x) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (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 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.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))))) (fma.f64 (/.f64 (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))))) (/.f64 (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))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (/.f64 (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)))))))))
(/.f64 (-.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 (exp.f64 (/.f64 (neg.f64 x) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y)))) (/.f64 (exp.f64 (/.f64 (neg.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 (neg.f64 x) y)) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 x y))))))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))))) (+.f64 (/.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.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)))))) (*.f64 (/.f64 (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))))) (/.f64 (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))))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64))))) (/.f64 (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)))))))
(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 (/.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.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))))))
(*.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 (neg.f64 (expm1.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal 2 binary64)))))))
(*.f64 (neg.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) (neg.f64 (exp.f64 (*.f64 (/.f64 x y) #s(literal -2 binary64)))))))
(tanh.f64 (/.f64 x y))

eval96.0ms (0.7%)

Memory
12.4MiB live, 125.8MiB allocated
Compiler

Compiled 22 911 to 1 958 computations (91.5% saved)

prune256.0ms (1.9%)

Memory
-17.9MiB live, 139.9MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New50210512
Fresh000
Picked101
Done000
Total50310513
Accuracy
100.0%
Counts
513 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.5%
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
42.0%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 y (*.f64 y y))) (/.f64 x y))))))
64.5%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
57.2%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
36.7%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (*.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t t) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)))) (tanh.f64 (/.f64 x y)))))
45.1%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
24.3%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y)))))
56.5%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 z (-.f64 t x))))
26.2%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (+.f64 x (neg.f64 t)) (/.f64 (fma.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (/.f64 z y) (*.f64 z #s(literal 0 binary64))) y)))))
56.5%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))
Compiler

Compiled 500 to 288 computations (42.4% saved)

simplify697.0ms (5.1%)

Memory
9.4MiB live, 384.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))
cost-diff128
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
cost-diff128
(/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y))
cost-diff128
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y)))))
cost-diff384
(/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y)
cost-diff1152
(-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))
cost-diff0
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))
cost-diff128
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
cost-diff0
(-.f64 t x)
cost-diff0
(fma.f64 z (-.f64 t x) x)
cost-diff0
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))
cost-diff0
(/.f64 t y)
cost-diff0
(tanh.f64 (/.f64 t y))
cost-diff0
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
cost-diff0
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
Rules
5 876×lower-fma.f32
5 870×lower-fma.f64
3 386×lower-*.f32
3 364×lower-*.f64
1 838×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052601
090568
1198541
2476480
31336474
45130474
08150461
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
y
(tanh.f64 (/.f64 x y))
(/.f64 x y)
x
(*.f64 y z)
z
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))
(fma.f64 z (-.f64 t x) x)
z
(-.f64 t x)
t
x
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
x
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))
(*.f64 y z)
y
z
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
(/.f64 (-.f64 t x) y)
(-.f64 t x)
t
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y)))))
x
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y))))
(*.f64 y z)
y
z
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y)))
(/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y))
(+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y)))
(-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))
(neg.f64 t)
t
(/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y)
(/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y))
(-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64))))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(*.f64 x x)
#s(literal -1/2 binary64)
(*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))
(*.f64 (*.f64 t t) #s(literal 1/3 binary64))
(*.f64 t t)
#s(literal 1/3 binary64)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))
(*.f64 x (*.f64 x x))
#s(literal -1/6 binary64)
(neg.f64 y)
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
x
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))
(*.f64 y z)
y
z
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
#s(approx (tanh (/ x y)) (/.f64 x y))
(/.f64 x y)
Outputs
(fma.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)
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
y
(tanh.f64 (/.f64 x y))
(/.f64 x y)
x
(*.f64 y z)
z
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))
(fma.f64 z (-.f64 t x) x)
z
(-.f64 t x)
t
x
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
x
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))
(*.f64 y z)
y
z
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
(/.f64 (-.f64 t x) y)
(-.f64 t x)
t
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y)))))
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 t (-.f64 (/.f64 (fma.f64 t (*.f64 t (*.f64 t #s(literal -1/3 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) (*.f64 y y)) x)) y)) x)
x
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y))))
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 t (-.f64 (/.f64 (fma.f64 t (*.f64 t (*.f64 t #s(literal -1/3 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) (*.f64 y y)) x)) y)))
(*.f64 y z)
y
z
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y)))
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 t (-.f64 (/.f64 (fma.f64 t (*.f64 t (*.f64 t #s(literal -1/3 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) (*.f64 y y)) x)) y))
(/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y))
(/.f64 (+.f64 t (-.f64 (/.f64 (fma.f64 t (*.f64 t (*.f64 t #s(literal -1/3 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) (*.f64 y y)) x)) y)
(+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y)))
(+.f64 (/.f64 (fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) (*.f64 y y)) (-.f64 x t))
(-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))
(-.f64 (/.f64 (fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64))))) (*.f64 y y)) t)
(neg.f64 t)
t
(/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y)
(/.f64 (fma.f64 t (*.f64 t (*.f64 t #s(literal -1/3 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) (*.f64 y y))
(/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y))
(/.f64 (fma.f64 t (*.f64 t (*.f64 t #s(literal -1/3 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) y)
(-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))
(fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64))))
(fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(*.f64 x x)
#s(literal -1/2 binary64)
(*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))
(*.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))))
(*.f64 (*.f64 t t) #s(literal 1/3 binary64))
(*.f64 t (*.f64 t #s(literal 1/3 binary64)))
(*.f64 t t)
#s(literal 1/3 binary64)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
(*.f64 x (*.f64 x x))
#s(literal -1/6 binary64)
(neg.f64 y)
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) x)
x
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))
(*.f64 y z)
y
z
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
#s(approx (tanh (/ x y)) (/.f64 x y))
(/.f64 x y)

localize219.0ms (1.6%)

Memory
-4.5MiB live, 463.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
accuracy100.0%
(tanh.f64 (/.f64 t y))
accuracy95.5%
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))
accuracy55.9%
#s(approx (tanh (/ x y)) (/.f64 x y))
accuracy94.4%
(/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y))
accuracy92.0%
(/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y)
accuracy77.7%
(-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))
accuracy34.3%
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y)))
accuracy100.0%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
accuracy100.0%
(/.f64 (-.f64 t x) y)
accuracy95.5%
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))
accuracy36.1%
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
accuracy100.0%
(-.f64 t x)
accuracy100.0%
(fma.f64 z (-.f64 t x) x)
accuracy56.5%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))
accuracy100.0%
(*.f64 y z)
accuracy100.0%
(tanh.f64 (/.f64 x y))
accuracy100.0%
(tanh.f64 (/.f64 t y))
accuracy95.5%
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
Samples
98.0ms221×0valid
24.0ms29×2valid
3.0ms1valid
Compiler

Compiled 463 to 40 computations (91.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-mult: 48.0ms (49.8% of total)
ival-div: 14.0ms (14.5% of total)
const: 12.0ms (12.5% of total)
ival-add: 6.0ms (6.2% of total)
ival-sub: 5.0ms (5.2% of total)
adjust: 5.0ms (5.2% of total)
ival-tanh: 3.0ms (3.1% of total)
ival-neg: 2.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series126.0ms (0.9%)

Memory
-9.7MiB live, 162.1MiB allocated
Counts
23 → 828
Calls
Call 1
Inputs
#<alt (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)>
#<alt (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))>
#<alt (tanh.f64 (/.f64 t y))>
#<alt (/.f64 t y)>
#<alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))>
#<alt (fma.f64 z (-.f64 t x) x)>
#<alt (-.f64 t x)>
#<alt (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))>
#<alt (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))>
#<alt (*.f64 y z)>
#<alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))>
#<alt (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))>
#<alt (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y)>
#<alt (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y)))))>
#<alt (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y))>
#<alt (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))>
#<alt (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))>
#<alt (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))>
#<alt (tanh.f64 (/.f64 x y))>
#<alt (/.f64 (-.f64 t x) y)>
#<alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y)))>
#<alt (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y))>
#<alt #s(approx (tanh (/ x y)) (/.f64 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))))))))))>
#<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>
#<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)))))>
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#<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

207 calls:

TimeVariablePointExpression
35.0ms
y
@inf
(* y z)
16.0ms
y
@inf
(/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y)
8.0ms
t
@0
(/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y)
2.0ms
y
@0
(/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y)
1.0ms
x
@0
(- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6))

simplify558.0ms (4.1%)

Memory
26.7MiB live, 889.0MiB allocated
Algorithm
egg-herbie
Rules
13 696×lower-fma.f64
13 696×lower-fma.f32
5 840×lower-*.f64
5 840×lower-*.f32
4 920×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073136602
1245227560
0888926808
Stop Event
iter limit
node limit
Counts
828 → 804
Calls
Call 1
Inputs
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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
(+ 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 (* z (- t x)))
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x
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x
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(*.f64 t (*.f64 (*.f64 t t) (+.f64 (/.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) y) (*.f64 t (*.f64 t t))) (/.f64 #s(literal -1/3 binary64) y))))
(* -1/3 (/ (pow t 3) y))
(/.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 t (*.f64 t t))) y)
(* -1 (* (pow t 3) (- (+ (* -1/2 (/ (pow x 3) (* (pow t 3) y))) (* 1/3 (/ 1 y))) (* -1/6 (/ (pow x 3) (* (pow t 3) y))))))
(neg.f64 (*.f64 (*.f64 t (*.f64 t t)) (+.f64 (/.f64 #s(literal 1/3 binary64) y) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 t (*.f64 t t)))) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 y (*.f64 t (*.f64 t t))))))))
(* -1 (* (pow t 3) (- (+ (* -1/2 (/ (pow x 3) (* (pow t 3) y))) (* 1/3 (/ 1 y))) (* -1/6 (/ (pow x 3) (* (pow t 3) y))))))
(neg.f64 (*.f64 (*.f64 t (*.f64 t t)) (+.f64 (/.f64 #s(literal 1/3 binary64) y) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 t (*.f64 t t)))) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 y (*.f64 t (*.f64 t t))))))))
(* -1 (* (pow t 3) (- (+ (* -1/2 (/ (pow x 3) (* (pow t 3) y))) (* 1/3 (/ 1 y))) (* -1/6 (/ (pow x 3) (* (pow t 3) y))))))
(neg.f64 (*.f64 (*.f64 t (*.f64 t t)) (+.f64 (/.f64 #s(literal 1/3 binary64) y) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 t (*.f64 t t)))) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 y (*.f64 t (*.f64 t t))))))))
(* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3))) y))
(neg.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y))
(* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3))) y))
(neg.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y))
(* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3))) y))
(neg.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y))
(* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3))) y))
(neg.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y))
(* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3))) y))
(neg.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y))
(* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3))) y))
(neg.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y))
(* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3))) y))
(neg.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y))
(* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3))) y))
(neg.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y))
(* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3))) y))
(neg.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y))
(* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3))) y))
(neg.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y))
(* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3))) y))
(neg.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y))
(* -1 (/ (- (+ (* -1/2 (pow x 3)) (* 1/3 (pow t 3))) (* -1/6 (pow x 3))) y))
(neg.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y))
(/ x y)
(/.f64 x y)
(* x (+ (* -1/3 (/ (pow x 2) (pow y 3))) (/ 1 y)))
(*.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)))
(* x (+ (* (pow x 2) (- (* 2/15 (/ (pow x 2) (pow y 5))) (* 1/3 (/ 1 (pow y 3))))) (/ 1 y)))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 #s(literal 2/15 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) 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)))
(*.f64 x (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (fma.f64 #s(literal -17/315 binary64) (/.f64 (*.f64 x x) (pow.f64 y #s(literal 7 binary64))) (/.f64 #s(literal 2/15 binary64) (pow.f64 y #s(literal 5 binary64)))) (/.f64 #s(literal -1/3 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y)))
(/ (- (exp (/ x y)) (/ 1 (exp (/ x y)))) (+ (exp (/ x y)) (/ 1 (exp (/ x y)))))
(/.f64 (-.f64 (exp.f64 (/.f64 x y)) (exp.f64 (/.f64 x (neg.f64 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)) (exp.f64 (/.f64 x (neg.f64 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)) (exp.f64 (/.f64 x (neg.f64 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)) (exp.f64 (/.f64 x (neg.f64 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)) (exp.f64 (/.f64 x (neg.f64 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)) (exp.f64 (/.f64 x (neg.f64 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)) (exp.f64 (/.f64 x (neg.f64 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)) (exp.f64 (/.f64 x (neg.f64 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)) (exp.f64 (/.f64 x (neg.f64 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)) (exp.f64 (/.f64 x (neg.f64 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)) (exp.f64 (/.f64 x (neg.f64 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)) (exp.f64 (/.f64 x (neg.f64 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 (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.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 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 (neg.f64 x) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/12 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))))) (*.f64 y (*.f64 y y))) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y y)) (/.f64 #s(literal 0 binary64) y))) x) (fma.f64 x (*.f64 (/.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 y (*.f64 y y))) #s(literal -1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y 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 (neg.f64 x) (/.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) 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 (neg.f64 x) (/.f64 (/.f64 (+.f64 (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/12 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal -1/2 binary64))))) #s(literal 0 binary64)) (*.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (*.f64 x #s(literal -1/2 binary64)))) (neg.f64 y)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))) (neg.f64 y)) y)) (neg.f64 y))

rewrite397.0ms (2.9%)

Memory
-13.9MiB live, 579.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 772×lower-/.f32
4 760×lower-/.f64
3 818×lower-*.f32
3 796×lower-*.f64
3 166×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052390
090371
1373353
23239353
08990338
Stop Event
iter limit
node limit
iter limit
Counts
23 → 668
Calls
Call 1
Inputs
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
(tanh.f64 (/.f64 t y))
(/.f64 t y)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))
(fma.f64 z (-.f64 t x) x)
(-.f64 t x)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))
(*.f64 y z)
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
(-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64)))
(/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y)))))
(/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
(*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))
(tanh.f64 (/.f64 x y))
(/.f64 (-.f64 t x) y)
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y)))
(/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y))
#s(approx (tanh (/ x y)) (/.f64 x 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)
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (neg.f64 x))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (/.f64 (pow.f64 (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) #s(literal 2 binary64)) (-.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) 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 (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 (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))) y x)
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(/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t))) #s(literal 1/9 binary64)))) (neg.f64 (*.f64 y (*.f64 y y)))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64)) (*.f64 y (*.f64 y y)))) (fma.f64 (/.f64 (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) y) (/.f64 (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) y) (fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) y) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) y) (*.f64 (/.f64 (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 y)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) y)))))
(/.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) y) (/.f64 (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) y)) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) y) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) y))) (+.f64 (/.f64 (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 y)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) y)))
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(/.f64 (*.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t))) #s(literal 1/9 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64))) (/.f64 #s(literal -1 binary64) y)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 (/.f64 (fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) #s(literal -1 binary64)) y)
(/.f64 (-.f64 (neg.f64 (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) y)
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))) y)
(/.f64 (-.f64 (neg.f64 (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) #s(literal 1 binary64))) y)
(/.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 y)) (*.f64 (neg.f64 y) (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))) (*.f64 y (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t))) #s(literal 1/9 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t))) #s(literal 1/9 binary64)))) (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t))) #s(literal 1/9 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 (fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) #s(literal 1 binary64))) y)
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))))))) y)
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t))) #s(literal 1/9 binary64)))) (neg.f64 (*.f64 y (*.f64 y y)))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64)) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) y) (/.f64 (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) y) (fma.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) y) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) y) (*.f64 (/.f64 (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 y)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) y))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) y) (/.f64 (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) y)) (*.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) y) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) y)))) (neg.f64 (+.f64 (/.f64 (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 y)) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) y))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t))) #s(literal 1/9 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64))) (/.f64 #s(literal -1 binary64) y))) (neg.f64 (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t))) #s(literal 1/9 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t))) #s(literal 1/9 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64))) (/.f64 #s(literal -1 binary64) y))) (neg.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))))))
(/.f64 (neg.f64 (/.f64 (fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) #s(literal -1 binary64))) (neg.f64 y))
(pow.f64 (/.f64 (neg.f64 y) (fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (neg.f64 y) (fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) (neg.f64 y)))
(*.f64 (neg.f64 (fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))))) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64))))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)))) y))
(*.f64 (pow.f64 (/.f64 (neg.f64 y) (fma.f64 (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t))) #s(literal 1/9 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1/216 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64))) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t))) #s(literal 1/9 binary64))))))
(*.f64 (pow.f64 (/.f64 (neg.f64 y) (-.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4 binary64)) (*.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t))) #s(literal 1/9 binary64))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/36 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (fma.f64 (*.f64 t t) (*.f64 t #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x)))))))
#s(approx (tanh (/ x y)) (/.f64 x y))

eval273.0ms (2%)

Memory
20.1MiB live, 490.8MiB allocated
Compiler

Compiled 70 507 to 4 249 computations (94% saved)

prune218.0ms (1.6%)

Memory
27.1MiB live, 461.5MiB allocated
Pruning

32 alts after pruning (30 fresh and 2 done)

PrunedKeptTotal
New1 664301 694
Fresh505
Picked325
Done000
Total1 672321 704
Accuracy
100.0%
Counts
1 704 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.5%
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
64.5%
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x)
42.3%
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))))) (*.f64 y z) x)
57.2%
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
47.9%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x)
47.3%
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) y x)
45.1%
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
14.9%
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) (-.f64 (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) x) (*.f64 x x)) (fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)) (fma.f64 y (*.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 y z)) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))))
24.5%
(/.f64 (*.f64 (fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))) (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))))
28.0%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))))
31.8%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) #s(approx (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 y y))))) (neg.f64 y)))))
27.2%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))))
33.4%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x)))))
40.1%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
45.0%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))))
23.9%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 t x))) #s(literal -1 binary64))))))
46.2%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
40.6%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y)))))))
21.5%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (fma.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 t y)))))))
27.6%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) t) y)))))
22.5%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (+.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 y y))) (neg.f64 y))))))
12.6%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 y (*.f64 y y)))))))
28.2%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y)))))
40.4%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) x))
56.5%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))
22.0%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x))
40.4%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) x))
47.0%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x))
17.3%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))))))))
47.4%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (fma.f64 x (-.f64 (*.f64 t (/.f64 z x)) z) x)))
29.2%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))))
19.6%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))
Compiler

Compiled 1 539 to 747 computations (51.5% saved)

simplify406.0ms (3%)

Memory
-28.7MiB live, 617.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff128
(neg.f64 (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y)))
cost-diff192
(fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y))
cost-diff320
(*.f64 z #s(literal 0 binary64))
cost-diff384
(/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y)
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y))))))
cost-diff128
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y)))))))
cost-diff1344
(*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y)))
cost-diff0
(/.f64 (-.f64 t x) y)
cost-diff0
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
cost-diff0
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y)
cost-diff0
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x)
cost-diff0
(*.f64 z t)
cost-diff0
#s(approx (+ (* z (- t x)) x) (*.f64 z t))
cost-diff0
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))
cost-diff0
(/.f64 t y)
cost-diff0
(tanh.f64 (/.f64 t y))
cost-diff0
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))
cost-diff0
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x)
Rules
12 690×lower-fma.f32
12 680×lower-fma.f64
5 244×lower-+.f32
5 238×lower-+.f64
4 582×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059565
096525
1201511
2415504
3961480
42841480
08201468
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x)
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
y
#s(approx (tanh (/ x y)) (/.f64 x y))
(/.f64 x y)
x
(*.f64 y z)
z
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))
#s(approx (+ (* z (- t x)) x) (*.f64 z t))
(*.f64 z t)
z
t
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x)
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y)
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
(/.f64 (-.f64 t x) y)
(-.f64 t x)
t
x
y
z
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y)))))))
x
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y))))))
(*.f64 y z)
y
z
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y)))))
#s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y))))
(*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y)))
(+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y))
(/.f64 t (*.f64 x y))
t
(*.f64 x y)
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y)))))
x
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y))))
(neg.f64 (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y)))
(fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y))
z
(-.f64 x t)
t
(/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y)
(fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64)))
(/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y)
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64)))
(*.f64 (*.f64 x x) #s(literal -1/3 binary64))
(*.f64 x x)
#s(literal -1/3 binary64)
(*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))
(*.f64 t (*.f64 t t))
(*.f64 t t)
#s(literal 1/3 binary64)
y
(*.f64 z #s(literal 0 binary64))
#s(literal 0 binary64)
Outputs
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x)
(fma.f64 y (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) z) x)
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))
(tanh.f64 (/.f64 t y))
(/.f64 t y)
t
y
#s(approx (tanh (/ x y)) (/.f64 x y))
(/.f64 x y)
x
(*.f64 y z)
z
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 t z)))
#s(approx (+ (* z (- t x)) x) (*.f64 z t))
#s(approx (+ (* z (- t x)) x) (*.f64 t z))
(*.f64 z t)
(*.f64 t z)
z
t
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x)
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y)
(*.f64 y #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
(/.f64 (-.f64 t x) y)
(-.f64 t x)
t
x
y
z
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y)))))))
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (-.f64 t x) y))) x)
x
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y))))))
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (-.f64 t x) y))))
(*.f64 y z)
y
z
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y)))))
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 (-.f64 t x) y)))
#s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y))))
#s(approx (/ (- t x) y) (/.f64 (-.f64 t x) y))
(*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (-.f64 t x) y)
(+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y))
(+.f64 (/.f64 t (*.f64 y x)) (/.f64 #s(literal -1 binary64) y))
(/.f64 t (*.f64 x y))
(/.f64 t (*.f64 y x))
t
(*.f64 x y)
(*.f64 y x)
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y)))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 z (-.f64 (-.f64 t x) (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))))) (*.f64 y y))))))
x
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y))))
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 z (-.f64 (-.f64 t x) (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))))) (*.f64 y y)))))
(neg.f64 (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y)))
(*.f64 z (-.f64 (-.f64 t x) (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))))) (*.f64 y y))))
(fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y))
(*.f64 z (+.f64 (-.f64 x t) (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))))) (*.f64 y y))))
z
(-.f64 x t)
t
(/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y)
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))))) (/.f64 z (*.f64 y y)))
(fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64)))
(*.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))))) (/.f64 z y))
(/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y)
(/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))))) y)
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64)))
(fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64)))))
(*.f64 (*.f64 x x) #s(literal -1/3 binary64))
(*.f64 x x)
#s(literal -1/3 binary64)
(*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))
(*.f64 t (*.f64 t (*.f64 t #s(literal 1/3 binary64))))
(*.f64 t (*.f64 t t))
(*.f64 t t)
#s(literal 1/3 binary64)
y
(*.f64 z #s(literal 0 binary64))
#s(literal 0 binary64)
#s(literal 0 binary64)

localize353.0ms (2.6%)

Memory
-2.1MiB live, 288.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy95.1%
(/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y)
accuracy94.4%
(/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y)
accuracy91.8%
(fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64)))
accuracy34.7%
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y))))
accuracy95.5%
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y))))))
accuracy94.1%
(/.f64 t (*.f64 x y))
accuracy89.4%
(*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y)))
accuracy36.1%
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y)))))
accuracy100.0%
(-.f64 t x)
accuracy100.0%
(/.f64 (-.f64 t x) y)
accuracy97.1%
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y)
accuracy36.1%
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
accuracy100.0%
(*.f64 z t)
accuracy56.5%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))
accuracy51.6%
#s(approx (+ (* z (- t x)) x) (*.f64 z t))
accuracy100.0%
(*.f64 y z)
accuracy100.0%
(tanh.f64 (/.f64 t y))
accuracy95.5%
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x)
accuracy55.9%
#s(approx (tanh (/ x y)) (/.f64 x y))
Samples
188.0ms221×0valid
24.0ms29×2valid
4.0ms1valid
Compiler

Compiled 409 to 49 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 187.0ms
ival-mult: 102.0ms (54.5% of total)
ival-div: 38.0ms (20.3% of total)
ival-add: 27.0ms (14.4% of total)
const: 7.0ms (3.7% of total)
adjust: 5.0ms (2.7% of total)
ival-sub: 4.0ms (2.1% of total)
ival-tanh: 3.0ms (1.6% of total)
ival-neg: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series227.0ms (1.7%)

Memory
13.3MiB live, 125.1MiB allocated
Counts
26 → 960
Calls
Call 1
Inputs
#<alt (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x)>
#<alt (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))>
#<alt (tanh.f64 (/.f64 t y))>
#<alt (/.f64 t y)>
#<alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))>
#<alt #s(approx (+ (* z (- t x)) x) (*.f64 z t))>
#<alt (*.f64 z t)>
#<alt (fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x)>
#<alt (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y)>
#<alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))>
#<alt (/.f64 (-.f64 t x) y)>
#<alt (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y)))>
#<alt (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y)))))))>
#<alt (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y))))))>
#<alt (*.f64 y z)>
#<alt (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y)>
#<alt (*.f64 z #s(literal 0 binary64))>
#<alt (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y))>
#<alt (neg.f64 (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y)))>
#<alt #s(approx (tanh (/ x y)) (/.f64 x y))>
#<alt (-.f64 t x)>
#<alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y)))))>
#<alt (/.f64 t (*.f64 x y))>
#<alt #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y))))>
#<alt (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64)))>
#<alt (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) 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))))))))))>
#<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>
#<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 (* 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))))))))))>
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Calls

240 calls:

TimeVariablePointExpression
54.0ms
t
@0
(* x (+ (/ t (* x y)) (/ -1 y)))
43.0ms
x
@-inf
(+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0))
16.0ms
t
@-inf
(+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0))
3.0ms
x
@0
(/ (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) y)
2.0ms
z
@0
(/ (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) y)

simplify787.0ms (5.8%)

Memory
26.8MiB live, 814.8MiB allocated
Algorithm
egg-herbie
Rules
14 860×lower-fma.f64
14 860×lower-fma.f32
5 920×lower-+.f64
5 920×lower-+.f32
5 794×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082835440
1280427617
0952326844
Stop Event
iter limit
node limit
Counts
960 → 940
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))))))))))
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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)))))))))
(fma.f64 y (*.f64 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)
(+ 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))))))))))
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(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 t t)) t (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) y)
(/ (+ (* -1/3 (pow x 3)) (* 1/3 (pow t 3))) y)
(/.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 t t)) t (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x)) y)

rewrite380.0ms (2.8%)

Memory
-37.7MiB live, 645.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 156×lower-/.f32
4 142×lower-/.f64
3 892×lower-*.f32
3 870×lower-*.f64
3 120×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058420
094396
1383385
23351385
08456375
Stop Event
iter limit
node limit
iter limit
Counts
26 → 532
Calls
Call 1
Inputs
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x)
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))
(tanh.f64 (/.f64 t y))
(/.f64 t y)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))
#s(approx (+ (* z (- t x)) x) (*.f64 z t))
(*.f64 z t)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x)
(*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y)
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
(/.f64 (-.f64 t x) y)
(*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y)))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y)))))))
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y))))))
(*.f64 y z)
(/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y)
(*.f64 z #s(literal 0 binary64))
(fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y))
(neg.f64 (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y)))
#s(approx (tanh (/ x y)) (/.f64 x y))
(-.f64 t x)
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y)))))
(/.f64 t (*.f64 x y))
#s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y))))
(fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64)))
(/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y)
Outputs
(+.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)))
(+.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) x)
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x))))
(fma.f64 y (*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) x)
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x)
(fma.f64 z (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) x)
(fma.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) x)
(fma.f64 (*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) z x)
(fma.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) z) y x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 (*.f64 y z) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 (*.f64 y z) x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))) (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)))))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) (neg.f64 x))))
(+.f64 (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))))
(+.f64 (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))) (tanh.f64 (/.f64 t y)))
(-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))
(-.f64 (/.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) (/.f64 (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
(fma.f64 #s(literal -1 binary64) #s(approx (tanh (/ x y)) (/.f64 x y)) (tanh.f64 (/.f64 t 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)))) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))))
(fma.f64 (expm1.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 t y) #s(literal 2 binary64))))) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))))
(fma.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)))) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))))) (+.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y)))))))
(/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))))
(/.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y)))) (-.f64 (tanh.f64 (/.f64 t y)) (neg.f64 #s(approx (tanh (/ x y)) (/.f64 x y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 3 binary64)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (*.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))) (neg.f64 (fma.f64 #s(approx (tanh (/ x y)) (/.f64 x y)) (+.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (pow.f64 (tanh.f64 (/.f64 t y)) #s(literal 2 binary64)))))
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eval223.0ms (1.6%)

Memory
28.7MiB live, 569.9MiB allocated
Compiler

Compiled 57 505 to 3 192 computations (94.4% saved)

prune201.0ms (1.5%)

Memory
13.0MiB live, 439.9MiB allocated
Pruning

37 alts after pruning (33 fresh and 4 done)

PrunedKeptTotal
New1 483151 498
Fresh71825
Picked325
Done022
Total1 493371 530
Accuracy
100.0%
Counts
1 530 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.5%
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
64.5%
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x)
42.3%
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))))) (*.f64 y z) x)
57.2%
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
28.9%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))) y) z x)
47.3%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x)
29.3%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))) y) z x)
35.4%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x))) y) z x)
25.7%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 t x))) #s(literal -1 binary64)))) y) z x)
43.3%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 t (*.f64 y x)) (neg.f64 (/.f64 x y))))) y) z x)
48.1%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x)
45.1%
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
14.9%
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) (-.f64 (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) x) (*.f64 x x)) (fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)) (fma.f64 y (*.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 y z)) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))))
28.0%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))))
27.2%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))))
40.1%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
45.0%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))))
23.9%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 t x))) #s(literal -1 binary64))))))
46.2%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
42.2%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 (/.f64 t x) y) (/.f64 #s(literal -1 binary64) y)))))))
21.5%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (fma.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 t y)))))))
37.6%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z #s(approx (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y) (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) y)) (*.f64 z #s(literal 0 binary64))) y)))))
36.8%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) (/.f64 #s(approx (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 x (*.f64 x x))) y))) y)))))
34.0%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) #s(approx (/ (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) y) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) z) (*.f64 y y)))))))
21.1%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* z (- x t)) (/ (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) y)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 x (*.f64 x x))) (*.f64 y y)) (*.f64 x z))))))
36.0%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* z (- x t)) (/ (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) y))) (fma.f64 z (-.f64 t x) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 (*.f64 #s(literal -1/3 binary64) z) (*.f64 y y)))))))
15.5%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* z (- x t)) (/ (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) y))) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 x (*.f64 x x)))) (*.f64 y y)))))
40.4%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) x))
56.5%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))
22.0%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x))
40.4%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) x))
47.0%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x))
17.3%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))))))))
52.0%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (fma.f64 x (-.f64 (/.f64 (*.f64 z t) x) z) x)))
47.4%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (fma.f64 x (-.f64 (*.f64 t (/.f64 z x)) z) x)))
29.2%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))))
19.6%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))
Compiler

Compiled 1 648 to 818 computations (50.4% saved)

simplify362.0ms (2.7%)

Memory
-1.0MiB live, 693.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x))
cost-diff0
(fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)
cost-diff0
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x))
cost-diff3136
(*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))))
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))
cost-diff128
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))))
cost-diff1024
(/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))
cost-diff0
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))
cost-diff0
(*.f64 y z)
cost-diff0
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))
cost-diff128
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
cost-diff0
(-.f64 t x)
cost-diff0
(*.f64 z (-.f64 t x))
cost-diff0
#s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))
cost-diff0
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))))
cost-diff0
(/.f64 t y)
cost-diff0
#s(approx (tanh (/ t y)) (/.f64 t y))
cost-diff0
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))
cost-diff0
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
Rules
10 034×lower-fma.f32
10 028×lower-fma.f64
4 246×lower-*.f32
4 228×lower-*.f64
3 640×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047448
075409
1170407
2403354
31218354
44043354
57698354
09367350
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))
#s(approx (tanh (/ t y)) (/.f64 t y))
(/.f64 t y)
t
y
(tanh.f64 (/.f64 x y))
(/.f64 x y)
x
(*.f64 y z)
z
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))))
#s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))
(*.f64 z (-.f64 t x))
z
(-.f64 t x)
t
x
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
x
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))
(*.f64 y z)
y
z
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))
(/.f64 #s(approx (- t x) (neg.f64 x)) y)
#s(approx (- t x) (neg.f64 x))
(neg.f64 x)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))))
x
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))
(*.f64 y z)
y
z
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))
(/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))
(*.f64 (+.f64 t x) (-.f64 t x))
(+.f64 t x)
t
(-.f64 t x)
(*.f64 y (+.f64 t x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x))
(fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)
z
(*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))))
(*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x))
(fma.f64 t t (*.f64 x (+.f64 t x)))
t
(*.f64 x (+.f64 t x))
x
(+.f64 t x)
(-.f64 t x)
(/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))
#s(literal 1 binary64)
Outputs
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
(fma.f64 y (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) x)
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))
#s(approx (tanh (/ t y)) (/.f64 t y))
(/.f64 t y)
t
y
(tanh.f64 (/.f64 x y))
(/.f64 x y)
x
(*.f64 y z)
z
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))))
#s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))
(*.f64 z (-.f64 t x))
z
(-.f64 t x)
t
x
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) x)
x
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))
(*.f64 y z)
y
z
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))
(/.f64 #s(approx (- t x) (neg.f64 x)) y)
#s(approx (- t x) (neg.f64 x))
(neg.f64 x)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))))
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
x
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))
(*.f64 y z)
y
z
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))
(/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))
(/.f64 (-.f64 t x) y)
(*.f64 (+.f64 t x) (-.f64 t x))
(*.f64 (-.f64 t x) (+.f64 t x))
(+.f64 t x)
t
(-.f64 t x)
(*.f64 y (+.f64 t x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))
(fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)
(fma.f64 z (-.f64 t x) x)
z
(*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))))
(-.f64 t x)
(*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x))
(*.f64 (-.f64 t x) (fma.f64 t t (*.f64 x (+.f64 t x))))
(fma.f64 t t (*.f64 x (+.f64 t x)))
t
(*.f64 x (+.f64 t x))
x
(+.f64 t x)
(-.f64 t x)
(/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))
#s(literal 1 binary64)

localize144.0ms (1.1%)

Memory
19.4MiB live, 212.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.2%
(/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))
accuracy97.3%
(fma.f64 t t (*.f64 x (+.f64 t x)))
accuracy56.5%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x))
accuracy35.2%
(*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))))
accuracy100.0%
(*.f64 y (+.f64 t x))
accuracy95.5%
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))
accuracy64.7%
(/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))
accuracy36.1%
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))
accuracy100.0%
(/.f64 #s(approx (- t x) (neg.f64 x)) y)
accuracy95.5%
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))
accuracy43.8%
#s(approx (- t x) (neg.f64 x))
accuracy36.1%
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))
accuracy100.0%
(-.f64 t x)
accuracy100.0%
(*.f64 z (-.f64 t x))
accuracy72.2%
#s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))
accuracy56.5%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))))
accuracy100.0%
(*.f64 y z)
accuracy100.0%
(tanh.f64 (/.f64 x y))
accuracy95.5%
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
accuracy50.0%
#s(approx (tanh (/ t y)) (/.f64 t y))
Samples
69.0ms221×0valid
20.0ms29×2valid
3.0ms1valid
Compiler

Compiled 325 to 34 computations (89.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 34.0ms (54.4% of total)
ival-div: 10.0ms (16% of total)
ival-add: 8.0ms (12.8% of total)
ival-sub: 3.0ms (4.8% of total)
adjust: 3.0ms (4.8% of total)
ival-tanh: 3.0ms (4.8% of total)
ival-neg: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series47.0ms (0.3%)

Memory
-10.3MiB live, 72.1MiB allocated
Counts
26 → 900
Calls
Call 1
Inputs
#<alt (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)>
#<alt (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))>
#<alt #s(approx (tanh (/ t y)) (/.f64 t y))>
#<alt (/.f64 t y)>
#<alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))))>
#<alt #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))>
#<alt (*.f64 z (-.f64 t x))>
#<alt (-.f64 t x)>
#<alt (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))>
#<alt (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))>
#<alt (*.f64 y z)>
#<alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))>
#<alt (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))>
#<alt (+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))))>
#<alt (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))>
#<alt (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))))>
#<alt #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x))>
#<alt (fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)>
#<alt (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x))>
#<alt (tanh.f64 (/.f64 x y))>
#<alt #s(approx (- t x) (neg.f64 x))>
#<alt (/.f64 #s(approx (- t x) (neg.f64 x)) y)>
#<alt #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))>
#<alt (*.f64 y (+.f64 t x))>
#<alt (fma.f64 t t (*.f64 x (+.f64 t x)))>
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))>
Outputs
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#<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))))))))))>
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#<alt (+ x (* z (- t x)))>
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#<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)))>
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#<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>
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#<alt x>
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#<alt x>
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#<alt (* -1 (* z (+ (* -1 (* 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))))))))) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* 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))))))))) (* -1 (/ x z)))))>
#<alt (- (/ 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 (* (pow x 2) (+ 1 (+ (/ t x) (/ (pow t 2) (pow x 2)))))>
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#<alt (/ 1 (pow x 2))>
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#<alt (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* t (+ (* -1 (pow t 2)) (pow t 2))) x) (/ (pow t 3) x)) (+ (* -1 (pow t 2)) (pow t 2))) x)) (* -1 t)) x))) (pow x 2))>
Calls

225 calls:

TimeVariablePointExpression
0.0ms
t
@0
(/ 1 (+ (* t t) (* x (+ t x))))
0.0ms
y
@0
(* y (+ t x))
0.0ms
x
@0
(/ 1 (+ (* t t) (* x (+ t x))))
0.0ms
x
@inf
(/ 1 (+ (* t t) (* x (+ t x))))
0.0ms
t
@-inf
(* (+ (* t t) (* x (+ t x))) (- t x))

simplify607.0ms (4.5%)

Memory
-22.7MiB live, 759.9MiB allocated
Algorithm
egg-herbie
Rules
13 632×lower-fma.f64
13 632×lower-fma.f32
6 004×lower-+.f64
6 004×lower-+.f32
4 690×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082633234
1279025176
0933424535
Stop Event
iter limit
node limit
Counts
900 → 869
Calls
Call 1
Inputs
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(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 t) (/.f64 (*.f64 t t) x)) x)))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(+ (* -1 (/ t (pow x 3))) (/ 1 (pow x 2)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 t (*.f64 x (*.f64 x x))))
(+ (* t (- (/ (pow t 2) (pow x 5)) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))
(fma.f64 t (+.f64 (/.f64 (*.f64 t t) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(+ (* t (- (* (pow t 2) (+ (* -1 (/ t (pow x 6))) (/ 1 (pow x 5)))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))
(fma.f64 t (fma.f64 (*.f64 t t) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 t (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/ 1 (pow t 2))
(/.f64 #s(literal 1 binary64) (*.f64 t t))
(/ (+ 1 (* -1 (/ x t))) (pow t 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) (*.f64 t t))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow t 2)))) (/ x t)) (pow t 2))
(/.f64 (+.f64 (/.f64 #s(literal 0 binary64) (*.f64 t t)) (-.f64 #s(literal 1 binary64) (/.f64 x t))) (*.f64 t t))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* x (+ (* -1 (pow x 2)) (pow x 2)))) (* -1 (pow x 3))) (pow t 3)))) (+ (* -1 (/ (pow x 2) (pow t 2))) (+ (/ x t) (/ (pow x 2) (pow t 2))))) (pow t 2))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 t (*.f64 t t))))) (-.f64 (+.f64 (/.f64 x t) (/.f64 (*.f64 x x) (*.f64 t t))) (/.f64 (*.f64 x x) (*.f64 t t)))) (*.f64 t t))
(/ 1 (pow t 2))
(/.f64 #s(literal 1 binary64) (*.f64 t t))
(/ (+ 1 (* -1 (/ x t))) (pow t 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) (*.f64 t t))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x 2) t)) (/ (pow x 2) t)) (* -1 x)) t))) (pow t 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x t)) (*.f64 t t))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) t) (/ (pow x 3) t)) (+ (* -1 (pow x 2)) (pow x 2))) t)) (* -1 x)) t))) (pow t 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) t) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) t) #s(literal 0 binary64))) (neg.f64 t)) x) t)) (*.f64 t t))
(/ 1 (pow t 2))
(/.f64 #s(literal 1 binary64) (*.f64 t t))
(+ (* -1 (/ x (pow t 3))) (/ 1 (pow t 2)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 t t)) (/.f64 x (*.f64 t (*.f64 t t))))
(+ (* x (- (/ (pow x 2) (pow t 5)) (/ 1 (pow t 3)))) (/ 1 (pow t 2)))
(fma.f64 x (+.f64 (/.f64 (*.f64 x x) (pow.f64 t #s(literal 5 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(+ (* x (- (* (pow x 2) (+ (* -1 (/ x (pow t 6))) (/ 1 (pow t 5)))) (/ 1 (pow t 3)))) (/ 1 (pow t 2)))
(fma.f64 x (fma.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 5 binary64))) (/.f64 x (pow.f64 t #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (*.f64 t t)))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* -1 (/ t x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) (*.f64 x x))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow t 2)) (pow t 2)) (pow x 2)))) (/ t x)) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 t x))) (*.f64 x x))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* t (+ (* -1 (pow t 2)) (pow t 2)))) (* -1 (pow t 3))) (pow x 3)))) (+ (* -1 (/ (pow t 2) (pow x 2))) (+ (/ t x) (/ (pow t 2) (pow x 2))))) (pow x 2))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 x (*.f64 x x)))) (-.f64 (+.f64 (/.f64 t x) (/.f64 (*.f64 t t) (*.f64 x x))) (/.f64 (*.f64 t t) (*.f64 x x)))) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* -1 (/ t x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) (*.f64 x x))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow t 2) x)) (/ (pow t 2) x)) (* -1 t)) x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 t x)) (*.f64 x x))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (/ (* t (+ (* -1 (pow t 2)) (pow t 2))) x) (/ (pow t 3) x)) (+ (* -1 (pow t 2)) (pow t 2))) x)) (* -1 t)) x))) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 t (*.f64 t t)) x)) x)) t) x)) (*.f64 x x))

rewrite474.0ms (3.5%)

Memory
8.2MiB live, 462.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 708×lower-*.f32
5 690×lower-*.f64
4 138×lower-/.f32
4 128×lower-/.f64
1 940×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047395
075354
1310296
22708296
08965292
Stop Event
iter limit
node limit
iter limit
Counts
26 → 543
Calls
Call 1
Inputs
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))
#s(approx (tanh (/ t y)) (/.f64 t y))
(/.f64 t y)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))))
#s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))
(*.f64 z (-.f64 t x))
(-.f64 t x)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))
(*.f64 y z)
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))
(/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))))
(*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))))
(*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x))
(fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)
(*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x))
(tanh.f64 (/.f64 x y))
#s(approx (- t x) (neg.f64 x))
(/.f64 #s(approx (- t x) (neg.f64 x)) y)
#s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))
(*.f64 y (+.f64 t x))
(fma.f64 t t (*.f64 x (+.f64 t x)))
(/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))
Outputs
(+.f64 x (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)))
(+.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) x)
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x))))
(fma.f64 y (*.f64 z (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
(fma.f64 z (*.f64 y (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) x)
(fma.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) x)
(fma.f64 (*.f64 y (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))) z x)
(fma.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) z) y x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.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 (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)))))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 (*.f64 y z) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 (*.f64 y z) x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))) (-.f64 x (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x))) (*.f64 (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x)) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)))))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z))) (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z)) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) (neg.f64 x))))
(+.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (neg.f64 (tanh.f64 (/.f64 x y))))
(+.f64 (neg.f64 (tanh.f64 (/.f64 x y))) #s(approx (tanh (/ t y)) (/.f64 t y)))
(-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))
(-.f64 (/.f64 (*.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (*.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ t y)) (/.f64 t y)))) (fma.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ t y)) (/.f64 t y)) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))) (/.f64 (pow.f64 (tanh.f64 (/.f64 x y)) #s(literal 3 binary64)) (fma.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ t y)) (/.f64 t y)) (*.f64 (tanh.f64 (/.f64 x y)) (+.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t)))) (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x x) (*.f64 (+.f64 t x) (+.f64 t x))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))))))
(/.f64 (neg.f64 (fma.f64 x (+.f64 t x) (*.f64 t t))) #s(literal -1 binary64))
(/.f64 (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x x) (*.f64 (+.f64 t x) (+.f64 t x))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (fma.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t)))))
(/.f64 (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x x) (*.f64 (+.f64 t x) (+.f64 t x))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (fma.f64 x (*.f64 (+.f64 t x) (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)))))
(/.f64 (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x x) (*.f64 (+.f64 t x) (+.f64 t x))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t))))))
(/.f64 (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))
(/.f64 (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)))) #s(literal 1 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x x) (*.f64 (+.f64 t x) (+.f64 t x))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) (neg.f64 (fma.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x x) (*.f64 (+.f64 t x) (+.f64 t x))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) (neg.f64 (fma.f64 x (*.f64 (+.f64 t x) (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 x (+.f64 t x)) (*.f64 t t))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x x) (*.f64 (+.f64 t x) (+.f64 t x))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) (neg.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 t x) (+.f64 t x))) (*.f64 t (*.f64 t (*.f64 t t)))) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)))
(/.f64 (-.f64 (*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (*.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (*.f64 (*.f64 x x) (*.f64 (+.f64 t x) (+.f64 t x))))) (*.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x x) (*.f64 (+.f64 t x) (+.f64 t x))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t)))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))))) (neg.f64 (neg.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (+.f64 t x) (+.f64 t x))) (*.f64 t (*.f64 t (*.f64 t t))))) (neg.f64 (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t))))
(pow.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 t x) (*.f64 t t))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t)))) (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x x) (*.f64 (+.f64 t x) (+.f64 t x))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))) (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) #s(literal -1 binary64))
(*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x x) (*.f64 (+.f64 t x) (+.f64 t x))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t))))))
(*.f64 (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (+.f64 t x) (*.f64 t t))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (+.f64 t x) (*.f64 t t))))
(/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 t x) (*.f64 t t)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x (+.f64 t x) (*.f64 t t))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x (+.f64 t x) (*.f64 t t))))))
(pow.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (fma.f64 x (+.f64 t x) (*.f64 t t))) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (neg.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 t x) (*.f64 t t))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 t x) (*.f64 t t))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x (+.f64 t x) (*.f64 t t))))
(*.f64 (pow.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x x) (*.f64 (+.f64 t x) (+.f64 t x))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) (fma.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x x) (*.f64 (+.f64 t x) (+.f64 t x))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (+.f64 t x) (*.f64 t t)) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 t t) (*.f64 x (+.f64 t x)))) #s(literal -1 binary64)))

eval490.0ms (3.6%)

Memory
32.6MiB live, 438.0MiB allocated
Compiler

Compiled 57 675 to 2 985 computations (94.8% saved)

prune341.0ms (2.5%)

Memory
-41.8MiB live, 512.6MiB allocated
Pruning

50 alts after pruning (44 fresh and 6 done)

PrunedKeptTotal
New1 637291 666
Fresh131528
Picked325
Done044
Total1 653501 703
Accuracy
100.0%
Counts
1 703 → 50
Alt Table
Click to see full alt table
StatusAccuracyProgram
95.5%
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
64.5%
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x)
42.3%
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))))) (*.f64 y z) x)
57.2%
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
29.6%
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))))) (*.f64 y z) x)
47.3%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x)
29.3%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))) y) z x)
43.3%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 t (*.f64 y x)) (neg.f64 (/.f64 x y))))) y) z x)
48.1%
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x)
38.9%
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))) y x)
40.1%
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) x)
17.2%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) (*.f64 x x)) (-.f64 (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) x))
9.9%
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))))) (*.f64 (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))) (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))))) (*.f64 (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))) (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))))))
22.3%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))) (*.f64 (fma.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))) x) (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))))))
28.0%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))))
19.7%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) #s(approx (* y (+ t x)) (*.f64 y t))))))
17.3%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) #s(approx (* y (+ t x)) (*.f64 x y))))))
26.4%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) #s(approx (- t x) (neg.f64 x))) (*.f64 y (+.f64 t x))))))
39.7%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (- t x) (neg.f64 x)))))))
37.8%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 (-.f64 t x) (*.f64 y (+.f64 t x))) (+.f64 t x)))))
25.3%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 (*.f64 (-.f64 t x) (/.f64 (+.f64 t x) y)) (*.f64 (-.f64 t x) (+.f64 t x))) (-.f64 t x)))))
37.7%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t x)) (*.f64 (-.f64 t x) (/.f64 (+.f64 t x) y))))))
45.0%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))))
40.1%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (- t x) (neg.f64 x))))))
22.0%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (exp.f64 (*.f64 (log.f64 (/.f64 y #s(approx (- t x) (neg.f64 x)))) #s(literal -1 binary64))))))
46.2%
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
34.0%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) #s(approx (/ (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) y) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) z) (*.f64 y y)))))))
21.1%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* z (- x t)) (/ (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) y)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 x (*.f64 x x))) (*.f64 y y)) (*.f64 x z))))))
36.0%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* z (- x t)) (/ (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) y))) (fma.f64 z (-.f64 t x) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 (*.f64 #s(literal -1/3 binary64) z) (*.f64 y y)))))))
15.5%
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* z (- x t)) (/ (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) y))) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 x (*.f64 x x)))) (*.f64 y y)))))
22.4%
(*.f64 (*.f64 (fma.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))) x) (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))))))
40.4%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (-.f64 t x) (+.f64 t x)) (+.f64 t x)) x))
56.5%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))
14.6%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (/.f64 (*.f64 (-.f64 t x) (fma.f64 x (+.f64 t x) (*.f64 t t))) (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x x) (*.f64 (+.f64 t x) (+.f64 t x))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) (fma.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t))))) x))
21.6%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) #s(approx (- t x) (fma.f64 x (/.f64 t x) (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x))
19.6%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 #s(approx (+ (* t t) (* x (+ t x))) (*.f64 x (+.f64 x t))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x))
24.9%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 #s(approx (+ (* t t) (* x (+ t x))) (*.f64 x x)) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x))
27.3%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 #s(approx (+ (* t t) (* x (+ t x))) (*.f64 t (+.f64 x t))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x))
30.9%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 #s(approx (+ (* t t) (* x (+ t x))) (*.f64 t t)) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x))
32.9%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x))
27.4%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x))
47.0%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x))
17.3%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))))))))
47.4%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (fma.f64 x (-.f64 (*.f64 t (/.f64 z x)) z) x)))
23.5%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (/.f64 (*.f64 (*.f64 (-.f64 t x) (+.f64 t x)) z) (+.f64 t x))))
29.2%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))))
24.5%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (*.f64 (*.f64 (-.f64 t x) (+.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))))))
13.1%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (neg.f64 x)))))
19.6%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))
24.7%
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) #s(approx (* z (- t x)) (*.f64 x (-.f64 (/.f64 (*.f64 z t) x) z)))))
Compiler

Compiled 3 113 to 954 computations (69.4% saved)

regimes210.0ms (1.5%)

Memory
30.8MiB live, 261.8MiB allocated
Counts
85 → 2
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (neg.f64 x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 z (-.f64 t x))))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) #s(approx (* z (- t x)) (*.f64 x (-.f64 (/.f64 (*.f64 z t) x) z)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) x)
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))) y x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (fma.f64 x (-.f64 (*.f64 t (/.f64 z x)) z) x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (fma.f64 x (-.f64 (/.f64 (*.f64 z t) x) z) x)))
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) y x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (/.f64 (*.f64 (*.f64 (-.f64 t x) (+.f64 t x)) z) (+.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (-.f64 t x) (+.f64 t x)) (+.f64 t x)) x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (- t x) (neg.f64 x))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (*.f64 (*.f64 (-.f64 t x) (+.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (- t x) (neg.f64 x)))))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* z (- x t)) (/ (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) y))) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 z (*.f64 x (*.f64 x x)))) (*.f64 y y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) #s(approx (* y (+ t x)) (*.f64 x y))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) #s(approx (* y (+ t x)) (*.f64 y t))))))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))) y) z x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))) y) z x)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) #s(approx (- t x) (neg.f64 x))) (*.f64 y (+.f64 t x))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 (-.f64 t x) (*.f64 y (+.f64 t x))) (+.f64 t x)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 t (*.f64 y x)) (neg.f64 (/.f64 x y))))) y) z x)
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* z (- x t)) (/ (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) y)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 x (*.f64 x x))) (*.f64 y y)) (*.f64 x z))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) #s(approx (neg (+ (* z (- x t)) (/ (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) y))) (fma.f64 z (-.f64 t x) (*.f64 (*.f64 t (*.f64 t t)) (/.f64 (*.f64 #s(literal -1/3 binary64) z) (*.f64 y y)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 t (*.f64 x y)) (/.f64 #s(literal -1 binary64) y)))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 #s(approx (+ (* t t) (* x (+ t x))) (*.f64 t t)) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 #s(approx (+ (* t t) (* x (+ t x))) (*.f64 x x)) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 y (*.f64 y y)))))))
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#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 #s(approx (+ (* t t) (* x (+ t x))) (*.f64 t (+.f64 x t))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 #s(approx (+ (* t t) (* x (+ t x))) (*.f64 x (+.f64 x t))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x))) y) z x)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 (/.f64 t x) y) (/.f64 #s(literal -1 binary64) y)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t x)) (*.f64 (-.f64 t x) (/.f64 (+.f64 t x) y))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x)))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) (/.f64 #s(approx (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 x (*.f64 x x))) y))) y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) t) y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (+.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 y y))) (neg.f64 y))))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z #s(approx (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y) (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) y)) (*.f64 z #s(literal 0 binary64))) y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 (*.f64 (-.f64 t x) (/.f64 (+.f64 t x) y)) (*.f64 (-.f64 t x) (+.f64 t x))) (-.f64 t x)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) #s(approx (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 y y))))) (neg.f64 y)))))
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))))) (*.f64 y z) x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) #s(approx (- t x) (fma.f64 x (/.f64 t x) (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y)))))
(/.f64 (*.f64 (fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))) (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) (*.f64 x x)) (-.f64 (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) x))
(*.f64 (*.f64 (fma.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))) x) (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (+.f64 x (neg.f64 t)) (/.f64 (fma.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (/.f64 z y) (*.f64 z #s(literal 0 binary64))) y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))) (*.f64 (fma.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))) x) (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (fma.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 t y)))))))
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x)
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (/.f64 (*.f64 (-.f64 t x) (fma.f64 x (+.f64 t x) (*.f64 t t))) (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x x) (*.f64 (+.f64 t x) (+.f64 t x))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) (fma.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t))))) x))
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))))) (*.f64 y z) x)
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (*.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t t) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)))) (tanh.f64 (/.f64 x y)))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 y (*.f64 y y))) (/.f64 x y))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))))) (*.f64 (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))) (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))))) (*.f64 (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))) (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) (-.f64 (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) x) (*.f64 x x)) (fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)) (fma.f64 y (*.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 y z)) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 t x))) #s(literal -1 binary64)))) y) z x)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (exp.f64 (*.f64 (log.f64 (/.f64 y #s(approx (- t x) (neg.f64 x)))) #s(literal -1 binary64))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 t x))) #s(literal -1 binary64))))))
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Outputs
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))))
Calls

5 calls:

78.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
49.0ms
t
26.0ms
y
26.0ms
x
26.0ms
z
Results
AccuracySegmentsBranch
95.5%1x
98.5%2y
95.5%1z
95.5%1t
99.6%2(+.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)

regimes160.0ms (1.2%)

Memory
-36.2MiB live, 232.6MiB allocated
Counts
83 → 4
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (neg.f64 x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 z (-.f64 t x))))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) #s(approx (* z (- t x)) (*.f64 x (-.f64 (/.f64 (*.f64 z t) x) z)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) x)
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))) y x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (fma.f64 x (-.f64 (*.f64 t (/.f64 z x)) z) x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (fma.f64 x (-.f64 (/.f64 (*.f64 z t) x) z) x)))
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) y x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (/.f64 (*.f64 (*.f64 (-.f64 t x) (+.f64 t x)) z) (+.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (-.f64 t x) (+.f64 t x)) (+.f64 t x)) x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (- t x) (neg.f64 x))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (*.f64 (*.f64 (-.f64 t x) (+.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (- t x) (neg.f64 x)))))))
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(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) #s(approx (* y (+ t x)) (*.f64 y t))))))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))) y) z x)
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(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) #s(approx (- t x) (neg.f64 x))) (*.f64 y (+.f64 t x))))))
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(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* z (- x t)) (/ (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) y)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 x (*.f64 x x))) (*.f64 y y)) (*.f64 x z))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x))
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#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 #s(approx (+ (* t t) (* x (+ t x))) (*.f64 x (+.f64 x t))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x))
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#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x))
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(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))))) (*.f64 y z) x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) #s(approx (- t x) (fma.f64 x (/.f64 t x) (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y)))))
(/.f64 (*.f64 (fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))) (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) (*.f64 x x)) (-.f64 (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) x))
(*.f64 (*.f64 (fma.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))) x) (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (+.f64 x (neg.f64 t)) (/.f64 (fma.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (/.f64 z y) (*.f64 z #s(literal 0 binary64))) y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))) (*.f64 (fma.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))) x) (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (fma.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 t y)))))))
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x)
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (/.f64 (*.f64 (-.f64 t x) (fma.f64 x (+.f64 t x) (*.f64 t t))) (fma.f64 (*.f64 x (+.f64 t x)) (*.f64 (*.f64 x x) (*.f64 (+.f64 t x) (+.f64 t x))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) (fma.f64 (*.f64 x (+.f64 t x)) (-.f64 (*.f64 x (+.f64 t x)) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t))))) x))
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))))) (*.f64 y z) x)
(+.f64 x (*.f64 (*.f64 y z) (-.f64 #s(approx (tanh (/ t y)) (*.f64 t (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t t) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)))) (tanh.f64 (/.f64 x y)))))
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (fma.f64 x (/.f64 (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 y (*.f64 y y))) (/.f64 x y))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))))) (*.f64 (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))) (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))))) (*.f64 (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))) (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) (-.f64 (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) x) (*.f64 x x)) (fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)) (fma.f64 y (*.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 y z)) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 t x))) #s(literal -1 binary64)))) y) z x)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (exp.f64 (*.f64 (log.f64 (/.f64 y #s(approx (- t x) (neg.f64 x)))) #s(literal -1 binary64))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (exp.f64 (*.f64 (log.f64 (/.f64 y (-.f64 t x))) #s(literal -1 binary64))))))
Outputs
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x))
(fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x)
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
Calls

5 calls:

32.0ms
x
26.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
24.0ms
z
24.0ms
y
23.0ms
t
Results
AccuracySegmentsBranch
76.8%4x
69.8%3z
73.1%3t
71.6%3y
76.3%4(+.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)

regimes144.0ms (1.1%)

Memory
19.8MiB live, 254.7MiB allocated
Counts
71 → 3
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (neg.f64 x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 z (-.f64 t x))))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) #s(approx (* z (- t x)) (*.f64 x (-.f64 (/.f64 (*.f64 z t) x) z)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) x)
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))) y x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (fma.f64 x (-.f64 (*.f64 t (/.f64 z x)) z) x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (fma.f64 x (-.f64 (/.f64 (*.f64 z t) x) z) x)))
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) y x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (/.f64 (*.f64 (*.f64 (-.f64 t x) (+.f64 t x)) z) (+.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (-.f64 t x) (+.f64 t x)) (+.f64 t x)) x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (- t x) (neg.f64 x))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (*.f64 (*.f64 (-.f64 t x) (+.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (- t x) (neg.f64 x)))))))
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(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) #s(approx (* y (+ t x)) (*.f64 x y))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) #s(approx (* y (+ t x)) (*.f64 y t))))))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))) y) z x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))) y) z x)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) #s(approx (- t x) (neg.f64 x))) (*.f64 y (+.f64 t x))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))))
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(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (*.f64 t (*.f64 t t))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 t (*.f64 y x)) (neg.f64 (/.f64 x y))))) y) z x)
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* z (- x t)) (/ (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) y)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 x (*.f64 x x))) (*.f64 y y)) (*.f64 x z))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x))
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#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 #s(approx (+ (* t t) (* x (+ t x))) (*.f64 t t)) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 #s(approx (+ (* t t) (* x (+ t x))) (*.f64 x x)) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x))
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#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 #s(approx (+ (* t t) (* x (+ t x))) (*.f64 x (+.f64 x t))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x))) y) z x)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 (/.f64 t x) y) (/.f64 #s(literal -1 binary64) y)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t x)) (*.f64 (-.f64 t x) (/.f64 (+.f64 t x) y))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x)))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) (/.f64 #s(approx (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 x (*.f64 x x))) y))) y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) t) y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (+.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 y y))) (neg.f64 y))))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z #s(approx (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y) (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) y)) (*.f64 z #s(literal 0 binary64))) y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 (*.f64 (-.f64 t x) (/.f64 (+.f64 t x) y)) (*.f64 (-.f64 t x) (+.f64 t x))) (-.f64 t x)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) #s(approx (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 y y))))) (neg.f64 y)))))
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))))) (*.f64 y z) x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) #s(approx (- t x) (fma.f64 x (/.f64 t x) (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y)))))
(/.f64 (*.f64 (fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))) (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) (*.f64 x x)) (-.f64 (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) x))
(*.f64 (*.f64 (fma.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))) x) (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (+.f64 x (neg.f64 t)) (/.f64 (fma.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (/.f64 z y) (*.f64 z #s(literal 0 binary64))) y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))) (*.f64 (fma.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))) x) (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (fma.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 t y)))))))
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
Outputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x))
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))
Calls

5 calls:

39.0ms
y
34.0ms
t
23.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
22.0ms
x
21.0ms
z
Results
AccuracySegmentsBranch
62.9%3z
66.0%3y
62.4%3t
65.0%4(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
63.5%4x
Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes71.0ms (0.5%)

Memory
-6.7MiB live, 187.0MiB allocated
Counts
70 → 2
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (neg.f64 x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (*.f64 z (-.f64 t x))))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y))) y) z x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) #s(approx (* z (- t x)) (*.f64 x (-.f64 (/.f64 (*.f64 z t) x) z)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (/.f64 t y)))))
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) x)
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))) y x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (fma.f64 x (-.f64 (*.f64 t (/.f64 z x)) z) x)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (fma.f64 x (-.f64 (/.f64 (*.f64 z t) x) z) x)))
(fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x)
(fma.f64 (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))) y x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) y) z x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) z) y x)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (/.f64 (*.f64 (*.f64 (-.f64 t x) (+.f64 t x)) z) (+.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (+.f64 t x)) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (/.f64 (*.f64 (-.f64 t x) (+.f64 t x)) (+.f64 t x)) x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(approx (- t x) (neg.f64 x))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 t x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (*.f64 (*.f64 (-.f64 t x) (+.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (+.f64 t x))) x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (- t x) (neg.f64 x)))))))
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(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) #s(approx (* y (+ t x)) (*.f64 x y))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) #s(approx (* y (+ t x)) (*.f64 y t))))))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y))) y) z x)
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x)))) y) z x)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) #s(approx (- t x) (neg.f64 x))) (*.f64 y (+.f64 t x))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 (*.f64 t y) (*.f64 y x)) (*.f64 y y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 (-.f64 t x) (*.f64 y (+.f64 t x))) (+.f64 t x)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (*.f64 y (+.f64 t x))))))
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(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (fma.f64 x (/.f64 t (*.f64 y x)) (neg.f64 (/.f64 x y))))) y) z x)
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 #s(approx (+ (* z (- x t)) (/ (+ (* z (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y)) (* z 0)) y)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 z (*.f64 x (*.f64 x x))) (*.f64 y y)) (*.f64 x z))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x))
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#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 #s(approx (+ (* t t) (* x (+ t x))) (*.f64 x x)) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x))
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#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 #s(approx (+ (* t t) (* x (+ t x))) (*.f64 x (+.f64 x t))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x))
(fma.f64 (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x))) y) z x)
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (- t x) y) (*.f64 x (+.f64 (/.f64 (/.f64 t x) y) (/.f64 #s(literal -1 binary64) y)))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 t x)) (*.f64 (-.f64 t x) (/.f64 (+.f64 t x) y))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (*.f64 (*.f64 (+.f64 t x) (-.f64 t x)) (/.f64 #s(literal 1 binary64) y)) (+.f64 t x)))))
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(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y y)) t) y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) (-.f64 t x)) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (/.f64 (+.f64 x (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64))) (*.f64 y y))) (neg.f64 y))))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z #s(approx (/ (+ (* x (* (* x x) -1/3)) (* (* t (* t t)) 1/3)) y) (/.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 x x)) x) y)) (*.f64 z #s(literal 0 binary64))) y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (*.f64 (/.f64 (*.f64 (-.f64 t x) (/.f64 (+.f64 t x) y)) (*.f64 (-.f64 t x) (+.f64 t x))) (-.f64 t x)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) #s(approx (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y) (/.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) (*.f64 y y))))) (neg.f64 y)))))
(fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) #s(approx (tanh (/ x y)) (*.f64 x (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) y))))) (*.f64 y z) x)
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 (*.f64 (fma.f64 t t (*.f64 x (+.f64 t x))) #s(approx (- t x) (fma.f64 x (/.f64 t x) (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (-.f64 x t) (/.f64 (fma.f64 z (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/3 binary64)) (*.f64 (*.f64 t (*.f64 t t)) #s(literal 1/3 binary64))) y) (*.f64 z #s(literal 0 binary64))) y)))))
(/.f64 (*.f64 (fma.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)) x) (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y))))) (-.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (-.f64 t x) y)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) (*.f64 x x)) (-.f64 (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))) x))
(*.f64 (*.f64 (fma.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))) x) (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y)))))))
(+.f64 x #s(approx (* (* y z) (- (tanh (/ t y)) (tanh (/ x y)))) (neg.f64 (fma.f64 z (+.f64 x (neg.f64 t)) (/.f64 (fma.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (/.f64 z y) (*.f64 z #s(literal 0 binary64))) y)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (*.f64 z (-.f64 t x)) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 z (-.f64 t x))) (*.f64 (-.f64 t x) (*.f64 z (*.f64 z (-.f64 t x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))) (*.f64 (fma.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))) x) (-.f64 x (*.f64 y (*.f64 z #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 #s(approx (- t x) (neg.f64 x)) y))))))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) (/.f64 (+.f64 x (-.f64 (neg.f64 t) (/.f64 (/.f64 (-.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 t (*.f64 (*.f64 t t) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/6 binary64))) (neg.f64 y)) y))) (neg.f64 y)))))
(+.f64 x (*.f64 (*.f64 y z) #s(approx (- (tanh (/ t y)) (tanh (/ x y))) #s(approx (/ (+ x (- (neg t) (/ (/ (- (+ (* x (* (* x x) -1/2)) (* t (* (* t t) 1/3))) (* (* x (* x x)) -1/6)) (neg y)) y))) (neg y)) (fma.f64 x (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1 binary64) y)) (fma.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (/.f64 t y)))))))
Outputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))
Calls

3 calls:

23.0ms
y
22.0ms
z
21.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
Results
AccuracySegmentsBranch
61.7%4z
60.0%3(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
61.2%2y
Compiler

Compiled 29 to 20 computations (31% saved)

regimes16.0ms (0.1%)

Memory
-2.7MiB live, 39.1MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (neg.f64 x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x))
Outputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))))
Calls

5 calls:

6.0ms
z
2.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
2.0ms
y
2.0ms
t
2.0ms
x
Results
AccuracySegmentsBranch
53.7%3(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
59.3%3z
50.3%3x
47.0%1t
50.8%2y
Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes12.0ms (0.1%)

Memory
-3.8MiB live, 34.1MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (neg.f64 x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))))
Outputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))))
Calls

5 calls:

3.0ms
x
2.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
2.0ms
t
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
29.2%1t
29.2%1x
29.2%1y
29.2%1(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
29.2%1z
Compiler

Compiled 39 to 28 computations (28.2% saved)

regimes8.0ms (0.1%)

Memory
26.0MiB live, 26.0MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (neg.f64 x)))))
Outputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (neg.f64 x)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))
Calls

5 calls:

2.0ms
(+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
2.0ms
t
2.0ms
y
2.0ms
x
2.0ms
z
Results
AccuracySegmentsBranch
19.6%1y
19.6%1z
23.4%2x
25.0%3t
19.6%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)

regimes4.0ms (0%)

Memory
-29.9MiB live, 8.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))
Outputs
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))
Calls

2 calls:

3.0ms
t
1.0ms
x
Results
AccuracySegmentsBranch
19.6%1x
19.6%1t
Compiler

Compiled 10 to 8 computations (20% saved)

bsearch1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.3621261145617717e+305
+inf
Compiler

Compiled 22 to 19 computations (13.6% saved)

bsearch53.0ms (0.4%)

Memory
21.9MiB live, 108.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
6.789520355430051
742.3167729527837
21.0ms
-3.395940903602928e-21
-4.247418504583689e-24
14.0ms
-1.2286944945839112e+83
-7.087229358573568e+80
Samples
33.0ms341×0valid
2.0ms11×1valid
Compiler

Compiled 978 to 563 computations (42.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 5.0ms (27.5% of total)
ival-mult: 5.0ms (27.5% of total)
ival-sub: 3.0ms (16.5% of total)
ival-tanh: 3.0ms (16.5% of total)
ival-add: 2.0ms (11% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch46.0ms (0.3%)

Memory
-33.2MiB live, 84.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
4.440256342686468e+181
1.402220089732953e+182
18.0ms
7.858163221154791e-151
3.3444573301350744e-143
Samples
16.0ms213×0valid
2.0ms11×1valid
Compiler

Compiled 456 to 271 computations (40.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 3.0ms (27.7% of total)
ival-mult: 3.0ms (27.7% of total)
ival-tanh: 2.0ms (18.5% of total)
ival-sub: 1.0ms (9.2% of total)
ival-add: 1.0ms (9.2% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch17.0ms (0.1%)

Memory
34.6MiB live, 34.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
1.9219440437581418e-124
1.2388450295494146e-119
Samples
8.0ms119×0valid
1.0ms1valid
Compiler

Compiled 214 to 131 computations (38.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (32.1% of total)
ival-mult: 2.0ms (32.1% of total)
ival-add: 1.0ms (16.1% of total)
ival-sub: 1.0ms (16.1% of total)
ival-tanh: 1.0ms (16.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch44.0ms (0.3%)

Memory
-18.7MiB live, 63.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
2.0ms
6.260071357169161e+21
6.563076462441089e+21
40.0ms
-39114322.84137986
-1.9518176955914455e-5
Samples
35.0ms176×0valid
Compiler

Compiled 286 to 173 computations (39.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-add: 22.0ms (71.8% of total)
ival-mult: 3.0ms (9.8% of total)
ival-tanh: 3.0ms (9.8% of total)
ival-div: 2.0ms (6.5% of total)
ival-sub: 1.0ms (3.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch50.0ms (0.4%)

Memory
-4.6MiB live, 73.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
31.0ms
4.0980693795737883e-165
1.3585383519010734e-159
15.0ms
-1.866165068037994e-163
-1.5292131392192565e-167
Samples
20.0ms269×0valid
0.0ms1valid
Compiler

Compiled 396 to 240 computations (39.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 4.0ms (32% of total)
ival-mult: 4.0ms (32% of total)
ival-tanh: 2.0ms (16% of total)
ival-add: 1.0ms (8% of total)
ival-sub: 1.0ms (8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify23.0ms (0.2%)

Memory
28.8MiB live, 28.8MiB allocated
Algorithm
egg-herbie
Rules
26×*-commutative_binary64
22×+-commutative_binary64
18×sub-neg_binary64
10×neg-sub0_binary64
10×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
096542
1123542
2142542
3150542
4153542
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 199999999999999987850710501107292437200805744402346499063815431426464091260264678056866185148810154968737122361123243451574343874852720610604715976817337655499746028833640220821354205063248818116874396050971031981532793651016436653190982245392158996106920698373251448128152087616919197241498086962762874880 binary64)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))))
(if (<=.f64 x #s(literal -1399999999999999974044465188777845197044126695619203247650073834211578811250638848 binary64)) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) (if (<=.f64 x #s(literal -1894149893993505/664613997892457936451903530140172288 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) (if (<=.f64 x #s(literal 66 binary64)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x))))
(if (<=.f64 y #s(literal 8154281252609543/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) (if (<=.f64 y #s(literal 44999999999999999955495798333898620405680322187545055367581477574387029527347956883428302628152241373453918209956920739314319665007276244840297960766511853917025569116199935260229632 binary64)) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))))
(if (<=.f64 y #s(literal 8722064691547283/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)))
(if (<=.f64 z #s(literal -61/2 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) (if (<=.f64 z #s(literal 6400000000000000000000 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))))
(if (<=.f64 t #s(literal -6224273353321489/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) (if (<=.f64 t #s(literal 3890170845825931/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (neg.f64 x))))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))
Outputs
(if (<=.f64 (+.f64 x (*.f64 (*.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))) #s(literal 199999999999999987850710501107292437200805744402346499063815431426464091260264678056866185148810154968737122361123243451574343874852720610604715976817337655499746028833640220821354205063248818116874396050971031981532793651016436653190982245392158996106920698373251448128152087616919197241498086962762874880 binary64)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))))
(if (<=.f64 x #s(literal -1399999999999999974044465188777845197044126695619203247650073834211578811250638848 binary64)) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) (if (<=.f64 x #s(literal -1894149893993505/664613997892457936451903530140172288 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 t x))))) x)) (if (<=.f64 x #s(literal 66 binary64)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x))))
(if (<=.f64 x #s(literal -1399999999999999974044465188777845197044126695619203247650073834211578811250638848 binary64)) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) (if (<=.f64 x #s(literal -1894149893993505/664613997892457936451903530140172288 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (*.f64 #s(approx (* (+ (* t t) (* x (+ t x))) (- t x)) (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (*.f64 x (+.f64 x t))))) x)) (if (<=.f64 x #s(literal 66 binary64)) (fma.f64 (-.f64 (tanh.f64 (/.f64 t y)) #s(approx (tanh (/ x y)) (/.f64 x y))) (*.f64 y z) x) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x))))
(if (<=.f64 y #s(literal 8154281252609543/56236422431789954785131731346074773235871213978773957913759444657647969758393598378988008576298635714374011382919011189040103325693678746112606439760814548189184 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) (if (<=.f64 y #s(literal 44999999999999999955495798333898620405680322187545055367581477574387029527347956883428302628152241373453918209956920739314319665007276244840297960766511853917025569116199935260229632 binary64)) (fma.f64 (-.f64 #s(approx (tanh (/ t y)) (/.f64 t y)) (tanh.f64 (/.f64 x y))) (*.f64 y z) x) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x))))
(if (<=.f64 y #s(literal 8722064691547283/2907354897182427562197295231552018137414565442749272241125960796722557152453591693304764202855054262243050086425064711734138406514458624 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z (-.f64 t x) x)))
(if (<=.f64 z #s(literal -61/2 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x)))) (if (<=.f64 z #s(literal 6400000000000000000000 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) (fma.f64 z #s(approx (- t x) (neg.f64 x)) x)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z (-.f64 t x))))
(if (<=.f64 t #s(literal -6224273353321489/2074757784440496479256203931845580575506223116121218449997828664845326405706454073199853524473551897144098943305650394591197575537705887653943437417056981843530590901700754761842688 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t))) (if (<=.f64 t #s(literal 3890170845825931/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448 binary64)) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z #s(approx (- t x) (neg.f64 x))))) #s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))))
#s(approx (+ x (* (* y z) (- (tanh (/ t y)) (tanh (/ x y))))) #s(approx (+ (* z (- t x)) x) (*.f64 z t)))

soundness1.0s (7.7%)

Memory
-9.6MiB live, 1 021.9MiB allocated
Rules
13 696×lower-fma.f64
13 696×lower-fma.f32
13 632×lower-fma.f64
13 632×lower-fma.f32
13 264×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073136602
1245227560
0888926808
082633234
1279025176
0933424535
049510076
116787475
269427471
082247285
01248
02048
19948
287148
0820847
052390
090371
1373353
23239353
08990338
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 597 to 271 computations (54.6% saved)

preprocess180.0ms (1.3%)

Memory
-5.3MiB live, 156.5MiB allocated
Remove

(abs y)

Compiler

Compiled 640 to 218 computations (65.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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