System.Random.MWC.Distributions:truncatedExp from mwc-random-0.13.3.2

Time bar (total: 14.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze713.0ms (4.9%)

Memory
1.6MiB live, 492.6MiB 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
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
0%0%99.8%0.2%0%0%0%5
0%0%99.8%0.2%0%0%0%6
0%0%99.8%0.2%0%0%0%7
3.1%3.1%96.7%0.2%0%0%0%8
4.7%4.7%95.1%0.2%0%0%0%9
4.7%4.7%95.1%0.2%0%0%0%10
16.4%16.4%83.4%0.2%0%0%0%11
18.8%17.5%76%0.2%0%6.2%0%12
Compiler

Compiled 15 to 14 computations (6.7% saved)

sample6.1s (42.3%)

Memory
77.3MiB live, 5 187.6MiB allocated
Samples
2.3s4 571×1valid
1.0s1 175×5exit
856.0ms3 685×0valid
397.0ms720×1invalid
359.0ms390×4exit
213.0ms1 760×0invalid
Precisions
Click to see histograms. Total time spent on operations: 4.3s
ival-log: 1.4s (31.7% of total)
ival-exp: 1.1s (25.1% of total)
adjust: 501.0ms (11.7% of total)
ival-div: 433.0ms (10.1% of total)
ival-sub: 352.0ms (8.2% of total)
ival-mult: 335.0ms (7.8% of total)
ival-add: 204.0ms (4.8% of total)
ival-true: 11.0ms (0.3% of total)
exact: 9.0ms (0.2% of total)
ival-assert: 6.0ms (0.1% of total)
Bogosity

explain570.0ms (3.9%)

Memory
29.5MiB live, 455.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
15539(2.508025907039957e-171 6.099800879888273e-99 1.0281583449669297e-249 -1.307833056745688e-13)0-(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
702(3.4188977984135973e+242 4848.953733769775 8.03095195390262e-74 1.5049556424790459e+85)0-(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
130-1(-2.8866134656302885e+116 -1.0422750486855394e-184 3.977988123730615e-137 3.725909796562695e-92)(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
00-0-(-.f64 #s(literal 1 binary64) y)
00-0-(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
00-0-t
00-0-#s(literal 1 binary64)
00-0-z
00-0-y
00-0-(*.f64 y (exp.f64 z))
00-0-x
00-0-(exp.f64 z)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))sensitivity1910
+.f64(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))cancellation291
/.f64(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)u/n40
(exp.f64 z)underflow83
(*.f64 y (exp.f64 z))underflow83
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))underflow38
log.f64(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))oflow-rescue30
(exp.f64 z)overflow3
(*.f64 y (exp.f64 z))overflow3
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))overflow3
Confusion
Predicted +Predicted -
+9415
-11532
Precision
0.44976076555023925
Recall
0.8623853211009175
Confusion?
Predicted +Predicted MaybePredicted -
+94015
-115131
Precision?
0.44761904761904764
Recall?
0.8623853211009175
Freqs
test
numberfreq
047
1191
218
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
231.0ms102×2valid
193.0ms338×1valid
7.0ms72×0valid
Compiler

Compiled 127 to 40 computations (68.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 364.0ms
ival-exp: 217.0ms (59.6% of total)
ival-log: 60.0ms (16.5% of total)
ival-sub: 51.0ms (14% of total)
adjust: 14.0ms (3.8% of total)
ival-div: 8.0ms (2.2% of total)
ival-mult: 6.0ms (1.6% of total)
ival-add: 5.0ms (1.4% of total)
ival-true: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess345.0ms (2.4%)

Memory
-14.0MiB live, 140.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067194
1137194
2356192
31190190
44104190
01213
01913
13113
26313
318313
454413
5323413
6796013
0805811
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
Outputs
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (+.f64 #s(literal -1 binary64) (exp.f64 z)) y)) t))
Compiler

Compiled 13 to 12 computations (7.7% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.5%
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify330.0ms (2.3%)

Memory
2.7MiB live, 134.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
cost-diff0
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
cost-diff1
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
cost-diff1
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01255
01955
13155
26355
318355
454455
5323455
6796055
0805848
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
x
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 y (exp.f64 z))
(exp.f64 z)
z
t
Outputs
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (+.f64 #s(literal -1 binary64) (exp.f64 z)) y)) t))
x
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
(/.f64 (log1p.f64 (*.f64 (+.f64 #s(literal -1 binary64) (exp.f64 z)) y)) t)
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
(log1p.f64 (*.f64 (+.f64 #s(literal -1 binary64) (exp.f64 z)) y))
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
(fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 y (exp.f64 z))
(*.f64 (exp.f64 z) y)
(exp.f64 z)
z
t

localize144.0ms (1%)

Memory
-2.4MiB live, 100.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(*.f64 y (exp.f64 z))
accuracy3.133291570798398
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
accuracy16.767118955318125
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
accuracy35.799555969372584
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
Samples
104.0ms169×1valid
26.0ms51×2valid
3.0ms36×0valid
Compiler

Compiled 57 to 14 computations (75.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-exp: 34.0ms (37.3% of total)
ival-log: 34.0ms (37.3% of total)
adjust: 7.0ms (7.7% of total)
ival-sub: 6.0ms (6.6% of total)
ival-div: 4.0ms (4.4% of total)
ival-mult: 3.0ms (3.3% of total)
ival-add: 3.0ms (3.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series118.0ms (0.8%)

Memory
34.0MiB live, 220.8MiB allocated
Counts
5 → 69
Calls
Call 1
Inputs
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
(*.f64 y (exp.f64 z))
Outputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(* y (- (exp z) 1))
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1))
1
(+ 1 (* y (- (exp z) 1)))
(+ x (* y (- (/ 1 t) (/ (exp z) t))))
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t))))
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t))))
(/ (* y (- (exp z) 1)) t)
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t)))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t)))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t)))
(* y (exp z))
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y))))
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1)))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2)))))
(* y (- (+ (exp z) (/ 1 y)) 1))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t)))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))))
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))))
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y))))
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z))))))
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y))))
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y))))
(* -1 (* y (+ 1 (* -1 (exp z)))))
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(* y z)
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))))
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
(+ 1 (* y z))
(+ 1 (* z (+ y (* 1/2 (* y z)))))
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(+ x (* -1 (/ (* y z) t)))
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))))
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))))
(/ (* y z) t)
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t)))
y
(+ y (* y z))
(+ y (* z (+ y (* 1/2 (* y z)))))
(+ y (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(log (- (+ 1 (* y (exp z))) y))
(- (+ 1 (* y (exp z))) y)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
Calls

12 calls:

TimeVariablePointExpression
28.0ms
z
@inf
((log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))
27.0ms
z
@-inf
((log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))
18.0ms
t
@inf
((log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))
13.0ms
t
@0
((log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))
9.0ms
t
@-inf
((log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))

simplify209.0ms (1.4%)

Memory
7.6MiB live, 335.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03351597
110791468
240581425
091541220
Stop Event
iter limit
node limit
Counts
69 → 67
Calls
Call 1
Inputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(* y (- (exp z) 1))
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1))
1
(+ 1 (* y (- (exp z) 1)))
(+ x (* y (- (/ 1 t) (/ (exp z) t))))
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t))))
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t))))
(/ (* y (- (exp z) 1)) t)
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t)))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t)))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t)))
(* y (exp z))
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y))))
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1)))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2)))))
(* y (- (+ (exp z) (/ 1 y)) 1))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t)))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
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(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)
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(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)
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(* y z)
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y
(+ y (* y z))
(+ y (* z (+ y (* 1/2 (* y z)))))
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(- (+ 1 (* y (exp z))) y)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
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Outputs
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(* y z)
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(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
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(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) z (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) z)
(+ 1 (* y z))
(fma.f64 z y #s(literal 1 binary64))
(+ 1 (* z (+ y (* 1/2 (* y z)))))
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64))
(+ x (* -1 (/ (* y z) t)))
(-.f64 x (/.f64 (*.f64 z y) t))
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))))
(fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) #s(literal -1/2 binary64)) (/.f64 y t)) z x)
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))))
(fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64))) t) z) (/.f64 y t)) z x)
(/ (* y z) t)
(/.f64 (*.f64 z y) t)
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z)
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) z y) t) z)
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t)))
(*.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) z (*.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1/2 binary64))) t) z (/.f64 y t)) z)
y
(+ y (* y z))
(fma.f64 z y y)
(+ y (* z (+ y (* 1/2 (* y z)))))
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z y)
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(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))
(- (+ 1 (* y (exp z))) y)
(-.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) y)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/.f64 (-.f64 (*.f64 t x) (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) t)
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t))

rewrite225.0ms (1.6%)

Memory
-31.4MiB live, 244.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01245
01945
17245
252845
3719545
0815541
Stop Event
iter limit
node limit
iter limit
Counts
5 → 188
Calls
Call 1
Inputs
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
(*.f64 y (exp.f64 z))
Outputs
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(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (exp.f64 z) y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (exp.f64 z) y))))
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(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)))
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(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x) (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x) (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) (*.f64 x x))))
(-.f64 x (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t))
(+.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x)) (/.f64 (neg.f64 (pow.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) #s(literal 2 binary64))) (+.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t) x)))
(/.f64 (neg.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)))) (neg.f64 t))
(/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) t)
(neg.f64 (/.f64 (log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))) (neg.f64 t)))
(-.f64 (/.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) t) (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))) t))
(-.f64 (/.f64 (log.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) t) (/.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) t))
(*.f64 (*.f64 (exp.f64 z) #s(literal 1 binary64)) y)
(*.f64 (*.f64 (exp.f64 z) y) #s(literal 1 binary64))
(*.f64 (exp.f64 z) y)
(*.f64 y (*.f64 #s(literal 1 binary64) (exp.f64 z)))
(*.f64 y (exp.f64 z))
(*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) y))
(/.f64 (*.f64 (+.f64 (pow.f64 (sinh.f64 z) #s(literal 3 binary64)) (pow.f64 (cosh.f64 z) #s(literal 3 binary64))) y) (-.f64 (cosh.f64 (+.f64 z z)) (*.f64 (sinh.f64 z) (cosh.f64 z))))
(/.f64 (*.f64 y (+.f64 (pow.f64 (sinh.f64 z) #s(literal 3 binary64)) (pow.f64 (cosh.f64 z) #s(literal 3 binary64)))) (-.f64 (cosh.f64 (+.f64 z z)) (*.f64 (sinh.f64 z) (cosh.f64 z))))
(/.f64 (-.f64 (*.f64 (*.f64 (cosh.f64 z) y) (*.f64 (cosh.f64 z) y)) (*.f64 (*.f64 (sinh.f64 z) y) (*.f64 (sinh.f64 z) y))) (-.f64 (*.f64 (cosh.f64 z) y) (*.f64 (sinh.f64 z) y)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 z) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 z) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (cosh.f64 z) y) (*.f64 (cosh.f64 z) y) (-.f64 (*.f64 (*.f64 (sinh.f64 z) y) (*.f64 (sinh.f64 z) y)) (*.f64 (*.f64 (cosh.f64 z) y) (*.f64 (sinh.f64 z) y)))))
(/.f64 y (exp.f64 (neg.f64 z)))
(neg.f64 (*.f64 (neg.f64 y) (exp.f64 z)))
(fma.f64 (*.f64 (sinh.f64 z) #s(literal 1 binary64)) y (*.f64 (cosh.f64 z) y))
(fma.f64 (*.f64 (cosh.f64 z) #s(literal 1 binary64)) y (*.f64 (sinh.f64 z) y))
(fma.f64 (*.f64 (sinh.f64 z) y) #s(literal 1 binary64) (*.f64 (cosh.f64 z) y))
(fma.f64 (*.f64 (cosh.f64 z) y) #s(literal 1 binary64) (*.f64 (sinh.f64 z) y))
(fma.f64 (sinh.f64 z) y (*.f64 (cosh.f64 z) y))
(fma.f64 (cosh.f64 z) y (*.f64 (sinh.f64 z) y))
(fma.f64 y (*.f64 #s(literal 1 binary64) (sinh.f64 z)) (*.f64 (cosh.f64 z) y))
(fma.f64 y (*.f64 #s(literal 1 binary64) (cosh.f64 z)) (*.f64 (sinh.f64 z) y))
(fma.f64 y (sinh.f64 z) (*.f64 (cosh.f64 z) y))
(fma.f64 y (cosh.f64 z) (*.f64 (sinh.f64 z) y))
(fma.f64 #s(literal 1 binary64) (*.f64 (sinh.f64 z) y) (*.f64 (cosh.f64 z) y))
(fma.f64 #s(literal 1 binary64) (*.f64 (cosh.f64 z) y) (*.f64 (sinh.f64 z) y))
(-.f64 (*.f64 (cosh.f64 z) y) (*.f64 (sinh.f64 (neg.f64 z)) y))
(-.f64 (*.f64 (cosh.f64 z) y) (*.f64 (neg.f64 y) (sinh.f64 z)))
(+.f64 (*.f64 (sinh.f64 z) y) (*.f64 (cosh.f64 z) y))
(+.f64 (*.f64 (cosh.f64 z) y) (*.f64 (sinh.f64 z) y))

eval121.0ms (0.8%)

Memory
8.5MiB live, 54.1MiB allocated
Compiler

Compiled 10 145 to 1 411 computations (86.1% saved)

prune13.0ms (0.1%)

Memory
27.7MiB live, 27.7MiB allocated
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New24014254
Fresh000
Picked101
Done000
Total24114255
Accuracy
99.6%
Counts
255 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.5%
(-.f64 x (/.f64 (log.f64 (-.f64 (fma.f64 (exp.f64 z) y (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 y (/.f64 y (+.f64 y #s(literal 1 binary64)))))) t))
59.5%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))) t))
61.5%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t))
81.0%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
66.7%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
70.9%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
82.7%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
70.9%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
52.5%
(-.f64 x (-.f64 (/.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) t) (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))) t)))
51.7%
(-.f64 x (-.f64 (/.f64 (log.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) t) (/.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) t)))
59.6%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z)))
83.8%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
15.1%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t)))
78.0%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64))))
Compiler

Compiled 656 to 500 computations (23.8% saved)

simplify197.0ms (1.4%)

Memory
-1.3MiB live, 139.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64)))
cost-diff0
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64))))
cost-diff0
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64))))
cost-diff0
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))) t)
cost-diff0
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))) t))
cost-diff2
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y))
cost-diff0
(*.f64 (expm1.f64 z) y)
cost-diff0
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
cost-diff0
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
cost-diff0
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
cost-diff0
(*.f64 z y)
cost-diff0
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))
cost-diff0
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)
cost-diff0
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
cost-diff0
(/.f64 (expm1.f64 z) t)
cost-diff0
(*.f64 (/.f64 (expm1.f64 z) t) y)
cost-diff0
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))
cost-diff0
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045410
075410
1118385
2221385
3578385
41650385
56225385
08449374
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) y)
(/.f64 (expm1.f64 z) t)
(expm1.f64 z)
z
t
y
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))
(*.f64 z y)
z
y
t
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)
(expm1.f64 z)
z
y
t
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))) t))
x
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y)
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y))
#s(literal 1/6 binary64)
(*.f64 z y)
z
y
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
t
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64)))
(neg.f64 x)
x
(-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64))
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x))
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))
(-.f64 (*.f64 (exp.f64 z) y) y)
(*.f64 (exp.f64 z) y)
(exp.f64 z)
z
y
(*.f64 t x)
t
#s(literal 1 binary64)
Outputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) y)
(/.f64 (expm1.f64 z) t)
(expm1.f64 z)
z
t
y
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))
(*.f64 z y)
z
y
t
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)
(expm1.f64 z)
z
y
t
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y) z #s(literal 1 binary64)))) t))
x
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))) t)
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y) z #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64))))
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y) z #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y) z #s(literal 1 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y) z #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) y)
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y)
#s(literal 1/6 binary64)
(*.f64 z y)
z
y
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
t
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (-.f64 (/.f64 (log1p.f64 (*.f64 (+.f64 #s(literal -1 binary64) (exp.f64 z)) y)) (*.f64 t x)) #s(literal 1 binary64)) (neg.f64 x)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64)))
(*.f64 (-.f64 (/.f64 (log1p.f64 (*.f64 (+.f64 #s(literal -1 binary64) (exp.f64 z)) y)) (*.f64 t x)) #s(literal 1 binary64)) (neg.f64 x))
(neg.f64 x)
x
(-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64))
(-.f64 (/.f64 (log1p.f64 (*.f64 (+.f64 #s(literal -1 binary64) (exp.f64 z)) y)) (*.f64 t x)) #s(literal 1 binary64))
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x))
(/.f64 (log1p.f64 (*.f64 (+.f64 #s(literal -1 binary64) (exp.f64 z)) y)) (*.f64 t x))
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))
(log1p.f64 (*.f64 (+.f64 #s(literal -1 binary64) (exp.f64 z)) y))
(-.f64 (*.f64 (exp.f64 z) y) y)
(*.f64 (exp.f64 z) y)
(exp.f64 z)
z
y
(*.f64 t x)
t
#s(literal 1 binary64)

localize397.0ms (2.7%)

Memory
-31.3MiB live, 277.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.7302208523803684
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))
accuracy1.934831329692418
(*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64)))
accuracy6.4514514781827765
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x))
accuracy29.616325704321234
(-.f64 (*.f64 (exp.f64 z) y) y)
accuracy0.290104527589523
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y))
accuracy3.133291570798398
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))) t)
accuracy20.186612007772645
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))
accuracy35.799555969372584
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64))))
accuracy0.0078125
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
accuracy0.01171875
(*.f64 (expm1.f64 z) y)
accuracy3.133291570798398
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
accuracy15.51005341579849
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
accuracy0.0
(*.f64 z y)
accuracy0.0078125
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
accuracy3.133291570798398
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)
accuracy28.863555422650894
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))
accuracy0.0078125
(/.f64 (expm1.f64 z) t)
accuracy0.0078125
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
accuracy2.3553930198329986
(*.f64 (/.f64 (expm1.f64 z) t) y)
accuracy15.466643261647802
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))
Samples
182.0ms169×1valid
99.0ms51×2valid
10.0ms36×0valid
Compiler

Compiled 318 to 36 computations (88.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 252.0ms
ival-mult: 75.0ms (29.8% of total)
ival-log: 65.0ms (25.8% of total)
ival-exp: 44.0ms (17.5% of total)
ival-sub: 21.0ms (8.3% of total)
adjust: 17.0ms (6.8% of total)
ival-div: 9.0ms (3.6% of total)
ival-add: 7.0ms (2.8% of total)
const: 5.0ms (2% of total)
ival-log1p: 5.0ms (2% of total)
ival-expm1: 2.0ms (0.8% of total)
ival-neg: 1.0ms (0.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series207.0ms (1.4%)

Memory
23.9MiB live, 163.8MiB allocated
Counts
24 → 133
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) y)
(/.f64 (expm1.f64 z) t)
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))
(*.f64 z y)
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))) t))
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64)))
(neg.f64 x)
(-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))
(-.f64 (*.f64 (exp.f64 z) y) y)
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x))
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))
Outputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(* -1 x)
(/ (log (- (+ 1 (* y (exp z))) y)) (* t x))
(/ (+ (* -1 x) (/ (log (- (+ 1 (* y (exp z))) y)) t)) x)
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
-1
(- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(+ x (* y (- (/ 1 t) (/ (exp z) t))))
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t))))
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t))))
(/ (* y (- (exp z) 1)) t)
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t)))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t)))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t)))
(* y (- (exp z) 1))
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1))
(* y z)
(* y (+ 1/2 (* 1/6 z)))
(+ x (* -1 (* x (* y (- (/ (exp z) (* t x)) (/ 1 (* t x)))))))
(+ x (* y (+ (* -1 (* x (- (/ (exp z) (* t x)) (/ 1 (* t x))))) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)))))
(+ x (* y (+ (* -1 (* x (- (/ (exp z) (* t x)) (/ 1 (* t x))))) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t)))))))
(- (* y (- (/ (exp z) (* t x)) (/ 1 (* t x)))) 1)
(- (* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) (* t x))) (/ (exp z) (* t x))) (/ 1 (* t x)))) 1)
(- (* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) (* t x))))) (/ (exp z) (* t x))) (/ 1 (* t x)))) 1)
1
(+ 1 (* y (- (exp z) 1)))
(/ (* y (- (exp z) 1)) (* t x))
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) (* t x))) (/ (exp z) (* t x))) (/ 1 (* t x))))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) (* t x))))) (/ (exp z) (* t x))) (/ 1 (* t x))))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) (* t x))) (* 1/3 (/ (pow (- (exp z) 1) 3) (* t x))))))) (/ (exp z) (* t x))) (/ 1 (* t x))))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t)))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))))
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))))
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y))))
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1)))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2)))))
(* -1 (* x (- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (/ (log (- (exp z) 1)) (* t x))) 1)))
(- (* -1 (* x (- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (/ (log (- (exp z) 1)) (* t x))) 1))) (/ 1 (* t (* y (- (exp z) 1)))))
(- (+ (* -1 (* x (- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (/ (log (- (exp z) 1)) (* t x))) 1))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (/ 1 (* t (* y (- (exp z) 1)))))
(- (+ (* -1 (* x (- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (/ (log (- (exp z) 1)) (* t x))) 1))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (/ 1 (* t (* y (- (exp z) 1)))) (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3)))))))
(- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (/ (log (- (exp z) 1)) (* t x))) 1)
(- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (/ (log (- (exp z) 1)) (* t x)))) 1)
(- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (/ (log (- (exp z) 1)) (* t x)))) (+ 1 (/ 1/2 (* t (* x (* (pow y 2) (pow (- (exp z) 1) 2)))))))
(- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (+ (* 1/3 (/ 1 (* t (* x (* (pow y 3) (pow (- (exp z) 1) 3)))))) (/ (log (- (exp z) 1)) (* t x))))) (+ 1 (* 1/2 (/ 1 (* t (* x (* (pow y 2) (pow (- (exp z) 1) 2))))))))
(* y (- (+ (exp z) (/ 1 y)) 1))
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) (* t x))
(+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (/ (log (- (exp z) 1)) (* t x))))
(- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (/ (log (- (exp z) 1)) (* t x)))) (/ 1/2 (* t (* x (* (pow y 2) (pow (- (exp z) 1) 2))))))
(- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (+ (* 1/3 (/ 1 (* t (* x (* (pow y 3) (pow (- (exp z) 1) 3)))))) (/ (log (- (exp z) 1)) (* t x))))) (* 1/2 (/ 1 (* t (* x (* (pow y 2) (pow (- (exp z) 1) 2)))))))
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (+ (/ 1/3 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3)))) (+ (/ 1/2 (* t (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y))))
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z))))))
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y))))
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y))))
(* -1 (* y (- (* -1/6 z) 1/2)))
(* -1 (* x (- (+ (* -1 (/ (log (/ -1 y)) (* t x))) (/ (log (+ 1 (* -1 (exp z)))) (* t x))) 1)))
(+ (* -1 (* x (- (+ (* -1 (/ (log (/ -1 y)) (* t x))) (/ (log (+ 1 (* -1 (exp z)))) (* t x))) 1))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))
(+ (* -1 (* x (- (+ (* -1 (/ (log (/ -1 y)) (* t x))) (/ (log (+ 1 (* -1 (exp z)))) (* t x))) 1))) (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))))
(+ (* -1 (* x (- (+ (* -1 (/ (log (/ -1 y)) (* t x))) (/ (log (+ 1 (* -1 (exp z)))) (* t x))) 1))) (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)))
(- (+ (* -1 (/ (log (/ -1 y)) (* t x))) (/ (log (+ 1 (* -1 (exp z)))) (* t x))) 1)
(- (+ (* -1 (/ (log (/ -1 y)) (* t x))) (/ (log (+ 1 (* -1 (exp z)))) (* t x))) (+ 1 (/ 1 (* t (* x (* y (+ 1 (* -1 (exp z)))))))))
(- (+ (* -1 (/ (log (/ -1 y)) (* t x))) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* x (* y (pow (+ 1 (* -1 (exp z))) 2)))))) (/ 1 (* t (* x (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) (* t x)))) 1)
(- (+ (* -1 (/ (log (/ -1 y)) (* t x))) (+ (* -1 (/ (+ (/ 1/3 (* t (* x (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))))) (+ (/ 1/2 (* t (* x (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (* x (+ 1 (* -1 (exp z)))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) (* t x)))) 1)
(* -1 (* y (+ 1 (* -1 (exp z)))))
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (* t x))
(- (+ (* -1 (/ (log (/ -1 y)) (* t x))) (/ (log (+ 1 (* -1 (exp z)))) (* t x))) (/ 1 (* t (* x (* y (+ 1 (* -1 (exp z))))))))
(+ (* -1 (/ (log (/ -1 y)) (* t x))) (+ (* -1 (/ (+ (* 1/2 (/ 1 (* t (* x (* y (pow (+ 1 (* -1 (exp z))) 2)))))) (/ 1 (* t (* x (+ 1 (* -1 (exp z))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) (* t x))))
(+ (* -1 (/ (log (/ -1 y)) (* t x))) (+ (* -1 (/ (+ (/ 1/3 (* t (* x (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))))) (+ (/ 1/2 (* t (* x (* y (pow (+ 1 (* -1 (exp z))) 2))))) (/ 1 (* t (* x (+ 1 (* -1 (exp z)))))))) y)) (/ (log (+ 1 (* -1 (exp z)))) (* t x))))
(+ x (* -1 (/ (* y z) t)))
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))))
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))))
(/ (* y z) t)
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t)))
(* z (+ (* 1/2 (/ (* y z) t)) (/ y t)))
(* z (+ (* z (+ (* 1/6 (/ (* y z) t)) (* 1/2 (/ y t)))) (/ y t)))
(* z (+ (* z (+ (* 1/2 (/ y t)) (* z (+ (* 1/24 (/ (* y z) t)) (* 1/6 (/ y t)))))) (/ y t)))
(/ z t)
(* z (+ (* 1/2 (/ z t)) (/ 1 t)))
(* z (+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t)))
(* z (+ (* z (+ (* z (+ (* 1/24 (/ z t)) (* 1/6 (/ 1 t)))) (* 1/2 (/ 1 t)))) (/ 1 t)))
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))))
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
(* z (+ y (* 1/2 (* y z))))
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))
(* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y)))))))
(* 1/2 y)
(+ (* 1/6 (* y z)) (* 1/2 y))
(+ x (* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)))))
(+ x (* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)))))))
(- (/ (* y z) (* t x)) 1)
(- (* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) (* t x))) (/ y (* t x)))) 1)
(- (* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (* t x))) (* 1/2 (/ (+ y (* -1 (pow y 2))) (* t x))))) (/ y (* t x)))) 1)
(+ 1 (* y z))
(+ 1 (* z (+ y (* 1/2 (* y z)))))
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(/ (* y z) (* t x))
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) (* t x))) (/ y (* t x))))
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (* t x))) (* 1/2 (/ (+ y (* -1 (pow y 2))) (* t x))))) (/ y (* t x))))
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) (* t x))) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) (* t x))) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) (* t x))))))) (/ y (* t x))))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (- (exp z) 1) t)
(log (- (+ 1 (* y (exp z))) y))
(* 1/6 (* y z))
(* z (+ (* 1/6 y) (* 1/2 (/ y z))))
(- (+ 1 (* y (exp z))) y)
(- (* y (exp z)) y)
(* -1 (* z (+ (* -1/2 (/ y z)) (* -1/6 y))))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t)
(/ (+ (* -1 t) (/ (log (- (+ 1 (* y (exp z))) y)) x)) t)
Calls

12 calls:

TimeVariablePointExpression
45.0ms
x
@-inf
((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (+ (* 1/6 (* z y)) (* 1/2 y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (* (neg x) (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1)) (neg x) (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) (+ (- 1 y) (* y (exp z))) (- (* (exp z) y) y) (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (log (+ 1 (- (* (exp z) y) y))))
43.0ms
t
@inf
((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (+ (* 1/6 (* z y)) (* 1/2 y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (* (neg x) (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1)) (neg x) (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) (+ (- 1 y) (* y (exp z))) (- (* (exp z) y) y) (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (log (+ 1 (- (* (exp z) y) y))))
25.0ms
z
@0
((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (+ (* 1/6 (* z y)) (* 1/2 y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (* (neg x) (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1)) (neg x) (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) (+ (- 1 y) (* y (exp z))) (- (* (exp z) y) y) (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (log (+ 1 (- (* (exp z) y) y))))
21.0ms
y
@inf
((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (+ (* 1/6 (* z y)) (* 1/2 y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (* (neg x) (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1)) (neg x) (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) (+ (- 1 y) (* y (exp z))) (- (* (exp z) y) y) (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (log (+ 1 (- (* (exp z) y) y))))
12.0ms
t
@-inf
((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (+ (* 1/6 (* z y)) (* 1/2 y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (* (neg x) (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1)) (neg x) (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) (+ (- 1 y) (* y (exp z))) (- (* (exp z) y) y) (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) (log (+ 1 (- (* (exp z) y) y))))

simplify195.0ms (1.3%)

Memory
-12.7MiB live, 172.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05663459
119033105
273972987
082502595
Stop Event
iter limit
node limit
Counts
133 → 132
Calls
Call 1
Inputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(* -1 x)
(/ (log (- (+ 1 (* y (exp z))) y)) (* t x))
(/ (+ (* -1 x) (/ (log (- (+ 1 (* y (exp z))) y)) t)) x)
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
-1
(- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(+ x (* y (- (/ 1 t) (/ (exp z) t))))
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t))))
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t))))
(/ (* y (- (exp z) 1)) t)
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t)))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t)))
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(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1))
(* y z)
(* y (+ 1/2 (* 1/6 z)))
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(+ x (* y (+ (* -1 (* x (- (/ (exp z) (* t x)) (/ 1 (* t x))))) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)))))
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(- (* y (- (/ (exp z) (* t x)) (/ 1 (* t x)))) 1)
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1
(+ 1 (* y (- (exp z) 1)))
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(/ (* y z) t)
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(/ (log (- (+ 1 (* y (exp z))) y)) t)
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(* 1/6 (* y z))
(* z (+ (* 1/6 y) (* 1/2 (/ y z))))
(- (+ 1 (* y (exp z))) y)
(- (* y (exp z)) y)
(* -1 (* z (+ (* -1/2 (/ y z)) (* -1/6 y))))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t)
(/ (+ (* -1 t) (/ (log (- (+ 1 (* y (exp z))) y)) x)) t)
Outputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t))
(* -1 x)
(neg.f64 x)
(/ (log (- (+ 1 (* y (exp z))) y)) (* t x))
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x))
(/ (+ (* -1 x) (/ (log (- (+ 1 (* y (exp z))) y)) t)) x)
(/.f64 (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t) x) x)
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(fma.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) (neg.f64 x) x)
-1
#s(literal -1 binary64)
(- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)
(-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(*.f64 (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64)) (neg.f64 x))
(+ x (* y (- (/ 1 t) (/ (exp z) t))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t)) y x)
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t))))
(fma.f64 (-.f64 (/.f64 (fma.f64 y (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) t) (/.f64 (exp.f64 z) t)) y x)
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t))))
(fma.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal -1/3 binary64)) y) y (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) y #s(literal 1 binary64))) t) (/.f64 (exp.f64 z) t)) y x)
(/ (* y (- (exp z) 1)) t)
(/.f64 (*.f64 (expm1.f64 z) y) t)
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t)))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (expm1.f64 z)) t) y)
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t)))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) t) y (/.f64 (expm1.f64 z) t)) y)
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t)))
(*.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) y) #s(literal -1/4 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)))) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) t) y (/.f64 (expm1.f64 z) t)) y)
(* y (- (exp z) 1))
(*.f64 (expm1.f64 z) y)
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1))
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (expm1.f64 z)) y)
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) y (expm1.f64 z)) y)
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) y) #s(literal -1/4 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)))) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) y (expm1.f64 z)) y)
(* y z)
(*.f64 z y)
(* y (+ 1/2 (* 1/6 z)))
(*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y)
(+ x (* -1 (* x (* y (- (/ (exp z) (* t x)) (/ 1 (* t x)))))))
(fma.f64 (/.f64 (/.f64 (*.f64 (expm1.f64 z) y) t) x) (neg.f64 x) x)
(+ x (* y (+ (* -1 (* x (- (/ (exp z) (* t x)) (/ 1 (* t x))))) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) (*.f64 (/.f64 (/.f64 (expm1.f64 z) x) t) (neg.f64 x))) y x)
(+ x (* y (+ (* -1 (* x (- (/ (exp z) (* t x)) (/ 1 (* t x))))) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t)))))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal -1/3 binary64)) y)) t) y (*.f64 (/.f64 (/.f64 (expm1.f64 z) x) t) (neg.f64 x))) y x)
(- (* y (- (/ (exp z) (* t x)) (/ 1 (* t x)))) 1)
(-.f64 (/.f64 (/.f64 (*.f64 (expm1.f64 z) y) t) x) #s(literal 1 binary64))
(- (* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) (* t x))) (/ (exp z) (* t x))) (/ 1 (* t x)))) 1)
(-.f64 (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (expm1.f64 z)) (*.f64 t x)) y) #s(literal 1 binary64))
(- (* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) (* t x))))) (/ (exp z) (* t x))) (/ 1 (* t x)))) 1)
(-.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) (*.f64 t x)) y (/.f64 (/.f64 (expm1.f64 z) x) t)) y) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* y (- (exp z) 1)))
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(/ (* y (- (exp z) 1)) (* t x))
(/.f64 (/.f64 (*.f64 (expm1.f64 z) y) t) x)
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) (* t x))) (/ (exp z) (* t x))) (/ 1 (* t x))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (expm1.f64 z)) (*.f64 t x)) y)
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) (* t x))))) (/ (exp z) (* t x))) (/ 1 (* t x))))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) (*.f64 t x)) y (/.f64 (/.f64 (expm1.f64 z) x) t)) y)
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) (* t x))) (* 1/3 (/ (pow (- (exp z) 1) 3) (* t x))))))) (/ (exp z) (* t x))) (/ 1 (* t x))))
(*.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) y) #s(literal -1/4 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)))) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) (*.f64 t x)) y (/.f64 (/.f64 (expm1.f64 z) x) t)) y)
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t)))
(-.f64 x (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(-.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t))
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(-.f64 (-.f64 x (/.f64 (/.f64 #s(literal -1/2 binary64) t) (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t))
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))))
(-.f64 (-.f64 x (/.f64 (/.f64 #s(literal -1/2 binary64) t) (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y))) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (/.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)))) t) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)))
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)
(/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t)
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) t)) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))))
(-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (/.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)))) t) (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) t)) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y))))
(+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1)))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) (*.f64 y y)))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) (/.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) (*.f64 y y)))
(* -1 (* x (- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (/ (log (- (exp z) 1)) (* t x))) 1)))
(*.f64 (-.f64 (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) (*.f64 t x)) #s(literal 1 binary64)) (neg.f64 x))
(- (* -1 (* x (- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (/ (log (- (exp z) 1)) (* t x))) 1))) (/ 1 (* t (* y (- (exp z) 1)))))
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(- (+ (* -1 (* x (- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (/ (log (- (exp z) 1)) (* t x))) 1))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (/ 1 (* t (* y (- (exp z) 1)))))
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(- (+ (* -1 (* x (- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (/ (log (- (exp z) 1)) (* t x))) 1))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (/ 1 (* t (* y (- (exp z) 1)))) (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3)))))))
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(- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (/ (log (- (exp z) 1)) (* t x)))) (+ 1 (/ 1/2 (* t (* x (* (pow y 2) (pow (- (exp z) 1) 2)))))))
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(- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (/ (log (- (exp z) 1)) (* t x)))) (/ 1/2 (* t (* x (* (pow y 2) (pow (- (exp z) 1) 2))))))
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(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z) (*.f64 t x))
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (* t x))) (* 1/2 (/ (+ y (* -1 (pow y 2))) (* t x))))) (/ y (* t x))))
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) z) #s(literal 1/6 binary64) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) (*.f64 t x)) z)
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) (* t x))) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) (* t x))) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) (* t x))))))) (/ y (* t x))))
(*.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) z (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) (*.f64 t x)) z (/.f64 (/.f64 y t) x)) z)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t)
(/ (- (exp z) 1) t)
(/.f64 (expm1.f64 z) t)
(log (- (+ 1 (* y (exp z))) y))
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))
(* 1/6 (* y z))
(*.f64 (*.f64 #s(literal 1/6 binary64) z) y)
(* z (+ (* 1/6 y) (* 1/2 (/ y z))))
(*.f64 (fma.f64 (/.f64 y z) #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) y)) z)
(- (+ 1 (* y (exp z))) y)
(-.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) y)
(- (* y (exp z)) y)
(-.f64 (*.f64 (exp.f64 z) y) y)
(* -1 (* z (+ (* -1/2 (/ y z)) (* -1/6 y))))
(*.f64 (neg.f64 z) (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/.f64 (-.f64 (*.f64 t x) (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) t)
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t)
(/.f64 (-.f64 (*.f64 t x) (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) t)
(/ (+ (* -1 t) (/ (log (- (+ 1 (* y (exp z))) y)) x)) t)
(/.f64 (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) x) t) t)

rewrite218.0ms (1.5%)

Memory
-7.3MiB live, 282.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045342
075342
1287319
22171319
08359310
Stop Event
iter limit
node limit
iter limit
Counts
24 → 226
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) y)
(/.f64 (expm1.f64 z) t)
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))
(*.f64 z y)
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))) t))
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64)))
(neg.f64 x)
(-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))
(-.f64 (*.f64 (exp.f64 z) y) y)
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x))
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))
Outputs
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x)) (*.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x))) (*.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x)) (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64))) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64))) (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x)) (/.f64 (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 2 binary64)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x))) (/.f64 (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (*.f64 x x))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) y)
(*.f64 (expm1.f64 z) (/.f64 y t))
(*.f64 y (/.f64 (expm1.f64 z) t))
(/.f64 (neg.f64 (*.f64 (neg.f64 (expm1.f64 z)) y)) (neg.f64 (neg.f64 t)))
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(/.f64 (neg.f64 (neg.f64 (*.f64 (expm1.f64 z) y))) (neg.f64 (neg.f64 t)))
(/.f64 (*.f64 (neg.f64 (expm1.f64 z)) y) (neg.f64 t))
(/.f64 (*.f64 y (neg.f64 (expm1.f64 z))) (neg.f64 t))
(/.f64 (neg.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))
(/.f64 (*.f64 (expm1.f64 z) y) t)
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 2 binary64)) (pow.f64 t #s(literal -2 binary64)))) (neg.f64 (+.f64 (/.f64 (exp.f64 z) t) (pow.f64 t #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 3 binary64)) (pow.f64 t #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 2 binary64)) (+.f64 (pow.f64 t #s(literal -2 binary64)) (*.f64 (/.f64 (exp.f64 z) t) (pow.f64 t #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (expm1.f64 z)))) (neg.f64 (neg.f64 (neg.f64 t))))
(/.f64 (neg.f64 (-.f64 (*.f64 (exp.f64 z) t) (*.f64 t #s(literal 1 binary64)))) (neg.f64 (*.f64 t t)))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 z)) (neg.f64 t)) (*.f64 (neg.f64 t) #s(literal -1 binary64))) (*.f64 t t))
(/.f64 (-.f64 (*.f64 (neg.f64 (exp.f64 z)) t) (*.f64 (neg.f64 t) #s(literal 1 binary64))) (*.f64 (neg.f64 t) t))
(/.f64 (-.f64 (*.f64 (exp.f64 z) (neg.f64 t)) (*.f64 t #s(literal -1 binary64))) (*.f64 t (neg.f64 t)))
(/.f64 (-.f64 (neg.f64 (exp.f64 z)) #s(literal -1 binary64)) (neg.f64 t))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 2 binary64)) (pow.f64 t #s(literal -2 binary64))) (+.f64 (/.f64 (exp.f64 z) t) (pow.f64 t #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 3 binary64)) (pow.f64 t #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 z) t) #s(literal 2 binary64)) (+.f64 (pow.f64 t #s(literal -2 binary64)) (*.f64 (/.f64 (exp.f64 z) t) (pow.f64 t #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 z))) (neg.f64 (neg.f64 t)))
(/.f64 (neg.f64 (expm1.f64 (+.f64 z z))) (neg.f64 (*.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) t)))
(/.f64 (neg.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) t)))
(/.f64 (-.f64 (*.f64 (exp.f64 z) t) (*.f64 t #s(literal 1 binary64))) (*.f64 t t))
(/.f64 (expm1.f64 (+.f64 z z)) (*.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) t))
(/.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) (*.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) t))
(/.f64 (neg.f64 (expm1.f64 z)) (neg.f64 t))
(/.f64 (expm1.f64 z) t)
(neg.f64 (/.f64 (neg.f64 (expm1.f64 z)) t))
(neg.f64 (/.f64 (expm1.f64 z) (neg.f64 t)))
(-.f64 (/.f64 (exp.f64 z) t) (pow.f64 t #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x)) (*.f64 (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x) (*.f64 x x))) (*.f64 (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x) (*.f64 x x)) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x) (*.f64 x x)) (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #s(literal 2 binary64))) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x) (*.f64 x x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x)) (/.f64 (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #s(literal 2 binary64)) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (+.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) x) (*.f64 x x))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) (neg.f64 (neg.f64 (neg.f64 t))))
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(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (fma.f64 (exp.f64 z) y y)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (fma.f64 (exp.f64 z) y y) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 z) y y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (fma.f64 (exp.f64 z) y y) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (fma.f64 (exp.f64 z) y y)) (*.f64 (fma.f64 (exp.f64 z) y y) (*.f64 y y))) (pow.f64 (fma.f64 (exp.f64 z) y y) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (fma.f64 y (fma.f64 (exp.f64 z) y y) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) (*.f64 (fma.f64 y (fma.f64 (exp.f64 z) y y) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 y (fma.f64 (exp.f64 z) y y) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (*.f64 y y))) (fma.f64 (exp.f64 z) y y))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (fma.f64 (exp.f64 z) y y) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (fma.f64 (exp.f64 z) y y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (fma.f64 (exp.f64 z) y y) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (*.f64 y y)) (fma.f64 (exp.f64 z) y y))
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (fma.f64 (exp.f64 z) y y) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (fma.f64 (exp.f64 z) y y)) (/.f64 (*.f64 y y) (fma.f64 (exp.f64 z) y y)))
(-.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (fma.f64 y (fma.f64 (exp.f64 z) y y) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (fma.f64 (exp.f64 z) y y) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))))
(-.f64 (*.f64 (exp.f64 z) y) y)
(*.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)))
(/.f64 (neg.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) x)) (neg.f64 t))
(/.f64 (neg.f64 (*.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (neg.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 t) x)))
(/.f64 (neg.f64 (*.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) #s(literal 1 binary64))) (*.f64 (neg.f64 t) x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))))) (neg.f64 (neg.f64 (*.f64 (neg.f64 t) x))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t))) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) x) t)
(/.f64 (*.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (neg.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) #s(literal 1 binary64)) (*.f64 (neg.f64 t) x))
(/.f64 (*.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) #s(literal 1 binary64)) (*.f64 t x))
(/.f64 (neg.f64 (neg.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)))) (neg.f64 (*.f64 (neg.f64 t) x)))
(/.f64 (neg.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t)) (neg.f64 x))
(/.f64 (neg.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) (*.f64 (neg.f64 t) x))
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x))
(/.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t) x)
(neg.f64 (/.f64 (neg.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) (*.f64 t x)))
(neg.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 (neg.f64 t) x)))
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))
(-.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 y y))) (log.f64 (+.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) y)))
(-.f64 (log.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (exp.f64 z) y) y) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (-.f64 (*.f64 (exp.f64 z) y) y) #s(literal 1 binary64))))
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) (log.f64 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y))))
(-.f64 (log.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 y y (*.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) y)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64))))) (log.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 y) (exp.f64 z)))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y (*.f64 (exp.f64 z) y)) #s(literal 3 binary64)))) (log1p.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (exp.f64 z) y) y) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 y (*.f64 (exp.f64 z) y))))))
(-.f64 (log.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))))) (log.f64 (neg.f64 (fma.f64 (*.f64 (exp.f64 z) y) (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 (exp.f64 z) y) y) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (exp.f64 z) y) y)))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (exp.f64 z) y) y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (-.f64 (*.f64 (exp.f64 z) y) y) (-.f64 (-.f64 (*.f64 (exp.f64 z) y) y) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 (exp.f64 z) y) y) #s(literal 2 binary64)))) (log1p.f64 (-.f64 y (*.f64 (exp.f64 z) y))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (*.f64 (exp.f64 z) y) y) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (exp.f64 z) y) y))))
(-.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 (exp.f64 z) y) y) #s(literal 3 binary64))) (log.f64 (+.f64 (pow.f64 (-.f64 (*.f64 (exp.f64 z) y) y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 (*.f64 (exp.f64 z) y) y)))))
(-.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 (exp.f64 z) y) y) #s(literal 3 binary64))) (log1p.f64 (*.f64 (-.f64 (*.f64 (exp.f64 z) y) y) (-.f64 (-.f64 (*.f64 (exp.f64 z) y) y) #s(literal 1 binary64)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))))
(-.f64 (log.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (exp.f64 z))))))
(-.f64 (log.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) (log.f64 (fma.f64 (*.f64 (exp.f64 z) y) (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))))
(log.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)))

eval50.0ms (0.3%)

Memory
38.6MiB live, 126.7MiB allocated
Compiler

Compiled 15 906 to 1 986 computations (87.5% saved)

prune23.0ms (0.2%)

Memory
-37.0MiB live, 26.8MiB allocated
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New3508358
Fresh279
Picked325
Done000
Total35517372
Accuracy
99.6%
Counts
372 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.5%
(-.f64 x (/.f64 (log.f64 (-.f64 (fma.f64 (exp.f64 z) y (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 y (/.f64 y (+.f64 y #s(literal 1 binary64)))))) t))
59.5%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)))) t))
61.5%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t))
59.4%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* z y)) (* 1/2 y)) (*.f64 (*.f64 #s(literal 1/6 binary64) z) y)) z y) z #s(literal 1 binary64)))) t))
81.0%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
66.7%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
58.5%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
82.7%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
70.9%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
52.5%
(-.f64 x (-.f64 (/.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) t) (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))) t)))
51.7%
(-.f64 x (-.f64 (/.f64 (log.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) t) (/.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) t)))
65.4%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
65.1%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) t) z))))
72.3%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 y) (/.f64 z t) x))
15.1%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t)))
11.6%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)))))
70.9%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64))))
Compiler

Compiled 879 to 639 computations (27.3% saved)

simplify165.0ms (1.1%)

Memory
10.1MiB live, 196.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (*.f64 (exp.f64 z) y) y)
cost-diff0
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))
cost-diff0
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t))
cost-diff0
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t)))
cost-diff0
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))
cost-diff0
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))))
cost-diff0
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)
cost-diff0
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t))
cost-diff0
#s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z))
cost-diff0
(*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)
cost-diff0
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))
cost-diff0
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
cost-diff0
#s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)))
cost-diff0
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64))))
cost-diff0
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))
cost-diff0
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))))
cost-diff0
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)
cost-diff0
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054417
084417
1128409
2227409
3522409
41294409
54830409
08402401
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
x
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(expm1.f64 z)
z
y
#s(literal 1 binary64)
t
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64))))
(*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)))
(neg.f64 x)
x
#s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))
(*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)
#s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)
(/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t)
(fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))
#s(literal 1/2 binary64)
z
#s(literal 1 binary64)
t
y
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t))
x
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))
(fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y)
(*.f64 z y)
z
y
#s(literal 1/2 binary64)
#s(literal 1 binary64)
t
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t)))
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t))
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))
(-.f64 (*.f64 (exp.f64 z) y) y)
(*.f64 (exp.f64 z) y)
(exp.f64 z)
z
y
(neg.f64 t)
t
Outputs
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
x
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(expm1.f64 z)
z
y
#s(literal 1 binary64)
t
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)) (neg.f64 x)))
(*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)))
(*.f64 #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)) (neg.f64 x))
(neg.f64 x)
x
#s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))
(*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)
#s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)
(/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t)
(fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))
#s(literal 1/2 binary64)
z
#s(literal 1 binary64)
t
y
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z #s(literal 1 binary64)))) t))
x
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))))
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z #s(literal 1 binary64))
(fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y)
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y)
(*.f64 z y)
z
y
#s(literal 1/2 binary64)
#s(literal 1 binary64)
t
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (+.f64 #s(literal -1 binary64) (exp.f64 z)) y)) (neg.f64 t)))
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t))
(/.f64 (log1p.f64 (*.f64 (+.f64 #s(literal -1 binary64) (exp.f64 z)) y)) (neg.f64 t))
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))
(log1p.f64 (*.f64 (+.f64 #s(literal -1 binary64) (exp.f64 z)) y))
(-.f64 (*.f64 (exp.f64 z) y) y)
(*.f64 (+.f64 #s(literal -1 binary64) (exp.f64 z)) y)
(*.f64 (exp.f64 z) y)
(exp.f64 z)
z
y
(neg.f64 t)
t

localize294.0ms (2%)

Memory
36.8MiB live, 356.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.7302208523803684
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))
accuracy3.133291570798398
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t))
accuracy29.616325704321234
(-.f64 (*.f64 (exp.f64 z) y) y)
accuracy43.65003719831451
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t)))
accuracy0.04296875
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))
accuracy3.133291570798398
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)
accuracy19.49871468191955
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))
accuracy35.799555969372584
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))))
accuracy0.16796875
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)
accuracy2.3553930198329986
(*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)
accuracy15.466643261647802
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))
accuracy21.7794214979518
#s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z))
accuracy0.0
(neg.f64 x)
accuracy0.0
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64))))
accuracy1.934831329692418
(*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)))
accuracy18.709141935489473
#s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64))
accuracy0.00390625
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
accuracy0.0078125
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
accuracy3.133291570798398
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)
accuracy35.799555969372584
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))))
Samples
187.0ms169×1valid
52.0ms51×2valid
27.0ms36×0valid
Compiler

Compiled 294 to 40 computations (86.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 210.0ms
ival-div: 55.0ms (26.2% of total)
ival-mult: 46.0ms (21.9% of total)
ival-log: 30.0ms (14.3% of total)
ival-exp: 22.0ms (10.5% of total)
adjust: 19.0ms (9% of total)
ival-sub: 16.0ms (7.6% of total)
ival-add: 8.0ms (3.8% of total)
ival-neg: 6.0ms (2.9% of total)
ival-log1p: 4.0ms (1.9% of total)
ival-expm1: 2.0ms (1% of total)
exact: 1.0ms (0.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series101.0ms (0.7%)

Memory
-6.7MiB live, 138.8MiB allocated
Counts
23 → 139
Calls
Call 1
Inputs
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64))))
(*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)))
(neg.f64 x)
#s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))
(*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)
#s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t))
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t)))
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t))
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))
(-.f64 (*.f64 (exp.f64 z) y) y)
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))
Outputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(* -1 x)
(/ (log (- (+ 1 (* y (exp z))) y)) (* t x))
(/ (+ (* -1 x) (/ (log (- (+ 1 (* y (exp z))) y)) t)) x)
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
-1
(- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(+ x (* y (- (/ 1 t) (/ (exp z) t))))
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t))))
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t))))
(/ (* y (- (exp z) 1)) t)
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t)))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t)))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t)))
(* y (- (exp z) 1))
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1))
1
(+ 1 (* y (- (exp z) 1)))
(+ x (* -1 (* x (* y (- (/ (exp z) (* t x)) (/ 1 (* t x)))))))
(+ x (* y (+ (* -1 (* x (- (/ (exp z) (* t x)) (/ 1 (* t x))))) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)))))
(+ x (* y (+ (* -1 (* x (- (/ (exp z) (* t x)) (/ 1 (* t x))))) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t)))))))
(- (* y (- (/ (exp z) (* t x)) (/ 1 (* t x)))) 1)
(- (* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) (* t x))) (/ (exp z) (* t x))) (/ 1 (* t x)))) 1)
(- (* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) (* t x))) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) (* t x))))) (/ (exp z) (* t x))) (/ 1 (* t x)))) 1)
(* -1 (/ (* y (- (exp z) 1)) t))
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t))))
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t))))))
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* 1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/3 (/ (pow (- (exp z) 1) 3) t)) (* 1/4 (/ (* y (pow (- (exp z) 1) 4)) t))))))))
(+ 1 (* y (* z (+ 1 (* 1/2 z)))))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t)))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))))
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))))
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y))))
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1)))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2)))))
(* y (- (+ (exp z) (/ 1 y)) 1))
(* -1 (* x (- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (/ (log (- (exp z) 1)) (* t x))) 1)))
(- (* -1 (* x (- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (/ (log (- (exp z) 1)) (* t x))) 1))) (/ 1 (* t (* y (- (exp z) 1)))))
(- (+ (* -1 (* x (- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (/ (log (- (exp z) 1)) (* t x))) 1))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (/ 1 (* t (* y (- (exp z) 1)))))
(- (+ (* -1 (* x (- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (/ (log (- (exp z) 1)) (* t x))) 1))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (/ 1 (* t (* y (- (exp z) 1)))) (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3)))))))
(- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (/ (log (- (exp z) 1)) (* t x))) 1)
(- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (/ (log (- (exp z) 1)) (* t x)))) 1)
(- (+ (* -1 (/ (log (/ 1 y)) (* t x))) (+ (/ 1 (* t (* x (* y (- (exp z) 1))))) (/ (log (- (exp z) 1)) (* t x)))) (+ 1 (/ 1/2 (* t (* x (* (pow y 2) (pow (- (exp z) 1) 2)))))))
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(/ (log (- (+ 1 (* y (exp z))) y)) t)
(log (- (+ 1 (* y (exp z))) y))
(- (+ 1 (* y (exp z))) y)
(/ (- (exp z) 1) t)
(- (* y (exp z)) y)
(* 1/2 (/ (pow z 2) t))
(* (pow z 2) (+ (* 1/2 (/ 1 t)) (/ 1 (* t z))))
(* 1/2 (* y (pow z 2)))
(* (pow z 2) (+ (* 1/2 y) (/ y z)))
(* (pow z 2) (+ (* 1/2 y) (+ (/ 1 (pow z 2)) (/ y z))))
(* (pow z 2) (+ (* -1 (/ (- (* -1 y) (/ 1 z)) z)) (* 1/2 y)))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t)
(/ (+ (* -1 t) (/ (log (- (+ 1 (* y (exp z))) y)) x)) t)
(/ (* z (+ 1 (* 1/2 z))) t)
Calls

12 calls:

TimeVariablePointExpression
30.0ms
t
@0
((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (* (neg x) (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1)) (neg x) (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (log (+ 1 (- (* (exp z) y) y))) (- (* (exp z) y) y) (+ (* (- (exp z) 1) y) 1) (* (/ (+ (* 1/2 z) 1) t) z) (+ (* (+ (* (* z y) 1/2) y) z) 1))
12.0ms
t
@-inf
((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (* (neg x) (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1)) (neg x) (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (log (+ 1 (- (* (exp z) y) y))) (- (* (exp z) y) y) (+ (* (- (exp z) 1) y) 1) (* (/ (+ (* 1/2 z) 1) t) z) (+ (* (+ (* (* z y) 1/2) y) z) 1))
11.0ms
t
@inf
((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (* (neg x) (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1)) (neg x) (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (log (+ 1 (- (* (exp z) y) y))) (- (* (exp z) y) y) (+ (* (- (exp z) 1) y) 1) (* (/ (+ (* 1/2 z) 1) t) z) (+ (* (+ (* (* z y) 1/2) y) z) 1))
11.0ms
z
@inf
((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (* (neg x) (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1)) (neg x) (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (log (+ 1 (- (* (exp z) y) y))) (- (* (exp z) y) y) (+ (* (- (exp z) 1) y) 1) (* (/ (+ (* 1/2 z) 1) t) z) (+ (* (+ (* (* z y) 1/2) y) z) 1))
10.0ms
z
@-inf
((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (* (neg x) (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1)) (neg x) (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (log (+ 1 (- (* (exp z) y) y))) (- (* (exp z) y) y) (+ (* (- (exp z) 1) y) 1) (* (/ (+ (* 1/2 z) 1) t) z) (+ (* (+ (* (* z y) 1/2) y) z) 1))

simplify559.0ms (3.9%)

Memory
-71.7MiB live, 265.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06003505
120093170
277633082
082862694
Stop Event
iter limit
node limit
Counts
139 → 138
Calls
Call 1
Inputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(* -1 x)
(/ (log (- (+ 1 (* y (exp z))) y)) (* t x))
(/ (+ (* -1 x) (/ (log (- (+ 1 (* y (exp z))) y)) t)) x)
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
-1
(- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(+ x (* y (- (/ 1 t) (/ (exp z) t))))
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t))))
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t))))
(/ (* y (- (exp z) 1)) t)
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t)))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t)))
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(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1))
1
(+ 1 (* y (- (exp z) 1)))
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(- (* y (- (/ (exp z) (* t x)) (/ 1 (* t x)))) 1)
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Outputs
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(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
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x
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(-.f64 (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (neg.f64 t)) (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 3 binary64)) y))) t) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) t))) y))
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(*.f64 (*.f64 (neg.f64 y) z) (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64)))
(* -1 (* y (- (* z (- (* -1/2 z) 1)) (/ 1 y))))
(*.f64 (neg.f64 y) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64)) z) (/.f64 #s(literal 1 binary64) y)))
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(*.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z y) t) z)
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(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t)))
(*.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (*.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)))) z (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) t) z (/.f64 y t)) z)
(* y z)
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(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))))
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(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
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(+ 1 (* y z))
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(+ 1 (* z (+ y (* 1/2 (* y z)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y #s(literal 1 binary64))
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64))
(+ x (* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)))))
(fma.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z x)
(+ x (* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)))))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64) (*.f64 z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal -1/6 binary64)))) t) z (/.f64 (neg.f64 y) t)) z x)
(- (/ (* y z) (* t x)) 1)
(-.f64 (*.f64 (/.f64 (/.f64 y t) x) z) #s(literal 1 binary64))
(- (* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) (* t x))) (/ y (* t x)))) 1)
(-.f64 (*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z y) t) x) z) #s(literal 1 binary64))
(- (* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (* t x))) (* 1/2 (/ (+ y (* -1 (pow y 2))) (* t x))))) (/ y (* t x)))) 1)
(-.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) (*.f64 t x)) z) #s(literal 1 binary64))
(* z (+ (* 1/2 (/ (* y z) t)) (/ y t)))
(*.f64 (/.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) t) z)
(* z (+ (* z (+ (* 1/6 (/ (* y z) t)) (* 1/2 (/ y t)))) (/ y t)))
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) t) z)
(* z (+ (* z (+ (* 1/2 (/ y t)) (* z (+ (* 1/24 (/ (* y z) t)) (* 1/6 (/ y t)))))) (/ y t)))
(*.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) t) z (/.f64 y t)) z)
(/ z t)
(/.f64 z t)
(* z (+ (* 1/2 (/ z t)) (/ 1 t)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) t)
(* z (+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t)))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) t) z)
(* z (+ (* z (+ (* z (+ (* 1/24 (/ z t)) (* 1/6 (/ 1 t)))) (* 1/2 (/ 1 t)))) (/ 1 t)))
(*.f64 (fma.f64 (*.f64 z z) (/.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) t) (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t)) z)
(* -1 (/ (* y z) t))
(*.f64 (neg.f64 y) (/.f64 z t))
(* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t))))
(*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z)
(* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t))))))
(*.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64) (*.f64 z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal -1/6 binary64)))) t) z (/.f64 (neg.f64 y) t)) z)
(* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* -1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)) (* -1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t))))))))
(*.f64 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal -1/6 binary64))) t) z (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal -1/2 binary64))) z (/.f64 (neg.f64 y) t)) z)
(* z (+ y (* 1/2 (* y z))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z)
(* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t)
(log (- (+ 1 (* y (exp z))) y))
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))
(- (+ 1 (* y (exp z))) y)
(-.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) y)
(/ (- (exp z) 1) t)
(/.f64 (expm1.f64 z) t)
(- (* y (exp z)) y)
(-.f64 (*.f64 (exp.f64 z) y) y)
(* 1/2 (/ (pow z 2) t))
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) z) z)
(* (pow z 2) (+ (* 1/2 (/ 1 t)) (/ 1 (* t z))))
(*.f64 (*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) t) z) z)
(* 1/2 (* y (pow z 2)))
(*.f64 (*.f64 (*.f64 z z) y) #s(literal 1/2 binary64))
(* (pow z 2) (+ (* 1/2 y) (/ y z)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)
(* (pow z 2) (+ (* 1/2 y) (+ (/ 1 (pow z 2)) (/ y z))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) y) z)) (*.f64 z z))
(* (pow z 2) (+ (* -1 (/ (- (* -1 y) (/ 1 z)) z)) (* 1/2 y)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 (-.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) z)) (neg.f64 z))) (*.f64 z z))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/.f64 (-.f64 (*.f64 t x) (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) t)
(/ (+ (* -1 (log (- (+ 1 (* y (exp z))) y))) (* t x)) t)
(/.f64 (fma.f64 t x (neg.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)))) t)
(/ (+ (* -1 t) (/ (log (- (+ 1 (* y (exp z))) y)) x)) t)
(/.f64 (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) x) t) t)
(/ (* z (+ 1 (* 1/2 z))) t)
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) t)

rewrite140.0ms (1%)

Memory
36.7MiB live, 166.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054366
084366
1296358
22145358
08127350
Stop Event
iter limit
node limit
iter limit
Counts
23 → 161
Calls
Call 1
Inputs
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64))))
(*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)))
(neg.f64 x)
#s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))
(*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)
#s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t))
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t)))
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t))
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))
(-.f64 (*.f64 (exp.f64 z) y) y)
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))
Outputs
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x)) (*.f64 (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x) (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x) (+.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t) x)))
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(/.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (expm1.f64 z) y)))
(fma.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(fma.f64 y (*.f64 (expm1.f64 z) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) (-.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (expm1.f64 z)) y))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (expm1.f64 z)))
(+.f64 (/.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (expm1.f64 z) y))) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (expm1.f64 z) y)) #s(literal -1 binary64)))
(+.f64 (*.f64 (expm1.f64 z) y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (/.f64 z t))
(*.f64 z (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t))
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) z)) t)
(/.f64 (neg.f64 (*.f64 z (neg.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))))) t)
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z))) t)
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) z) (neg.f64 t))
(/.f64 (*.f64 z (neg.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)))) (neg.f64 t))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) (neg.f64 t))
(/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) t)
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) z) t) z (*.f64 (pow.f64 t #s(literal -1 binary64)) z))
(fma.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) z) t) (*.f64 z (pow.f64 t #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) z) t) z) (*.f64 (pow.f64 t #s(literal -1 binary64)) z))
(+.f64 (*.f64 z (/.f64 (*.f64 #s(literal 1/2 binary64) z) t)) (*.f64 z (pow.f64 t #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z)) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z)) #s(literal 1 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z)))
(fma.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) (*.f64 z #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))
(fma.f64 z (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 z (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 1 binary64))) (pow.f64 (-.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y)) z))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y)))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z))) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z)) #s(literal -1 binary64)))
(+.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z))

eval65.0ms (0.5%)

Memory
-3.3MiB live, 97.9MiB allocated
Compiler

Compiled 13 224 to 1 597 computations (87.9% saved)

prune48.0ms (0.3%)

Memory
-33.6MiB live, 56.5MiB allocated
Pruning

21 alts after pruning (15 fresh and 6 done)

PrunedKeptTotal
New2896295
Fresh1910
Picked145
Done022
Total29121312
Accuracy
99.6%
Counts
312 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.5%
(-.f64 x (/.f64 (log.f64 (-.f64 (fma.f64 (exp.f64 z) y (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 y (/.f64 y (+.f64 y #s(literal 1 binary64)))))) t))
59.5%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)))) t))
59.4%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* z y)) (* 1/2 y)) (*.f64 (*.f64 #s(literal 1/6 binary64) z) y)) z y) z #s(literal 1 binary64)))) t))
81.0%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
66.7%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
82.7%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
70.9%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
52.5%
(-.f64 x (-.f64 (/.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) t) (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))) t)))
51.7%
(-.f64 x (-.f64 (/.f64 (log.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) t) (/.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) t)))
65.4%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
54.1%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) #s(approx (* (/ (+ (* 1/2 z) 1) t) z) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) z) z))) y)))
65.1%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) t) z))))
72.3%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 y) (/.f64 z t) x))
15.1%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t)))
18.5%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) (neg.f64 t)))
18.4%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (neg.f64 t)))
11.6%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)))))
70.9%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64))))
13.1%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z)))
20.9%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))))
14.6%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t))))
Compiler

Compiled 1 123 to 794 computations (29.3% saved)

simplify129.0ms (0.9%)

Memory
39.8MiB live, 185.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) (neg.f64 t))
cost-diff0
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) (neg.f64 t)))
cost-diff2
(fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y))
cost-diff2
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y))
cost-diff0
#s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))
cost-diff0
(log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))
cost-diff0
(/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (neg.f64 t))
cost-diff0
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (neg.f64 t)))
cost-diff0
(*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z)
cost-diff0
#s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z))
cost-diff0
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z)))
cost-diff1
(*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) (/.f64 z t))
cost-diff0
#s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t)))
cost-diff0
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t))))
cost-diff0
(/.f64 z t)
cost-diff0
(neg.f64 y)
cost-diff0
(fma.f64 (neg.f64 y) (/.f64 z t) x)
cost-diff0
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 y) (/.f64 z t) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056536
088536
1157528
2356528
31063521
43459521
08372448
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 y) (/.f64 z t) x))
(fma.f64 (neg.f64 y) (/.f64 z t) x)
(neg.f64 y)
y
(/.f64 z t)
z
t
x
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t))))
#s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t)))
(*.f64 (neg.f64 y) (/.f64 z t))
(neg.f64 y)
y
(/.f64 z t)
z
t
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z)))
#s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z))
(*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z)
(/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t)
(fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y))
z
(*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64))
(-.f64 y (*.f64 y y))
y
(*.f64 y y)
#s(literal -1/2 binary64)
(neg.f64 y)
t
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (neg.f64 t)))
(/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (neg.f64 t))
(log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))
#s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)
(fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))
#s(literal 1/2 binary64)
z
#s(literal 1 binary64)
y
(neg.f64 t)
t
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) (neg.f64 t)))
(/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) (neg.f64 t))
(log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)))
#s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y)
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y))
#s(literal 1/24 binary64)
(*.f64 z y)
z
y
(*.f64 #s(literal 1/6 binary64) y)
#s(literal 1/6 binary64)
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
(neg.f64 t)
t
Outputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 y) (/.f64 z t) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 z t) (neg.f64 y) x))
(fma.f64 (neg.f64 y) (/.f64 z t) x)
(fma.f64 (/.f64 z t) (neg.f64 y) x)
(neg.f64 y)
y
(/.f64 z t)
z
t
x
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 y t) (neg.f64 z))))
#s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t)))
#s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 y t) (neg.f64 z)))
(*.f64 (neg.f64 y) (/.f64 z t))
(*.f64 (/.f64 y t) (neg.f64 z))
(neg.f64 y)
y
(/.f64 z t)
z
t
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (*.f64 (/.f64 z t) y) (-.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z))
#s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (*.f64 (/.f64 z t) y) (-.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z)
(*.f64 (*.f64 (/.f64 z t) y) (-.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t)
(/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 z y) y)) t)
(fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y))
(neg.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 z y) y))
z
(*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64))
(*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64)) y)
(-.f64 y (*.f64 y y))
(fma.f64 (neg.f64 y) y y)
y
(*.f64 y y)
#s(literal -1/2 binary64)
(neg.f64 y)
t
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z))) (neg.f64 t)))
(/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (neg.f64 t))
(/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z))) (neg.f64 t))
(log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))
(log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z)))
#s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))
#s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z)
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)
(fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))
#s(literal 1/2 binary64)
z
#s(literal 1 binary64)
y
(neg.f64 t)
t
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64))) z y) z))) (neg.f64 t)))
(/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) (neg.f64 t))
(/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64))) z y) z))) (neg.f64 t))
(log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)))
(log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64))) z y) z)))
#s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))
#s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64))) z y) z))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)
(*.f64 (fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64))) z y) z)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y)
(fma.f64 (*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64))) z y)
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y))
(*.f64 y (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y))
(*.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) y)
#s(literal 1/24 binary64)
(*.f64 z y)
z
y
(*.f64 #s(literal 1/6 binary64) y)
#s(literal 1/6 binary64)
(*.f64 #s(literal 1/2 binary64) y)
#s(literal 1/2 binary64)
(neg.f64 t)
t

localize308.0ms (2.1%)

Memory
-49.1MiB live, 341.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.7302208523803684
(log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)))
accuracy3.133291570798398
(/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) (neg.f64 t))
accuracy21.608358365205003
#s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))
accuracy43.65003719831451
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) (neg.f64 t)))
accuracy3.133291570798398
(/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (neg.f64 t))
accuracy4.469333969944791
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)
accuracy21.715913166795573
#s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))
accuracy43.65003719831451
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (neg.f64 t)))
accuracy3.0943222440404496
(/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t)
accuracy3.576603275550004
(fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y))
accuracy28.57709335620084
#s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z))
accuracy43.65003719831451
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z)))
accuracy0.0
(neg.f64 y)
accuracy5.416031729458615
(*.f64 (neg.f64 y) (/.f64 z t))
accuracy27.401901660660922
#s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t)))
accuracy43.65003719831451
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t))))
accuracy0.0
(/.f64 z t)
accuracy0.0
(neg.f64 y)
accuracy3.321507088342632
(fma.f64 (neg.f64 y) (/.f64 z t) x)
accuracy17.15870676159835
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 y) (/.f64 z t) x))
Samples
218.0ms187×1valid
46.0ms69×0valid
Compiler

Compiled 348 to 48 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 190.0ms
ival-mult: 35.0ms (18.4% of total)
const: 29.0ms (15.3% of total)
ival-log1p: 28.0ms (14.7% of total)
ival-log: 23.0ms (12.1% of total)
ival-exp: 19.0ms (10% of total)
adjust: 18.0ms (9.5% of total)
ival-sub: 12.0ms (6.3% of total)
ival-add: 12.0ms (6.3% of total)
ival-div: 11.0ms (5.8% of total)
ival-neg: 2.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series99.0ms (0.7%)

Memory
31.4MiB live, 134.4MiB allocated
Counts
24 → 120
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 y) (/.f64 z t) x))
(fma.f64 (neg.f64 y) (/.f64 z t) x)
(neg.f64 y)
(/.f64 z t)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t))))
#s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t)))
(*.f64 (neg.f64 y) (/.f64 z t))
(*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z)))
#s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z))
(*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (neg.f64 t)))
(/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (neg.f64 t))
(log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))
#s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) (neg.f64 t)))
(/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) (neg.f64 t))
(fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y))
(/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t)
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)
#s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))
(log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)))
Outputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(* -1 (/ (* y z) t))
(+ x (* -1 (/ (* y z) t)))
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* x (+ 1 (* -1 (/ (* y z) (* t x)))))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(* -1 (* x (- (/ (* y z) (* t x)) 1)))
(+ x (* y (- (/ 1 t) (/ (exp z) t))))
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t))))
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t))))
(* -1 y)
(* -1 (/ (* y (- (exp z) 1)) t))
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t))))
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t))))))
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* 1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/3 (/ (pow (- (exp z) 1) 3) t)) (* 1/4 (/ (* y (pow (- (exp z) 1) 4)) t))))))))
(* -1/2 y)
(* y (- (* 1/2 y) 1/2))
(/ (* y (* z (- (* -1/2 z) 1))) t)
(* y (+ (* 1/2 (/ (* y (pow z 2)) t)) (/ (* z (- (* -1/2 z) 1)) t)))
(* y (- (exp z) 1))
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1))
(* y (+ 1/2 (* z (+ 1/6 (* 1/24 z)))))
(* y (+ 1/6 (* 1/24 z)))
(* y (- (* -1/2 z) 1))
(* y (- (+ (* -1/2 z) (* 1/2 (* y z))) 1))
(/ (* y (- (* -1/2 z) 1)) t)
(* y (- (+ (* -1/2 (/ z t)) (* 1/2 (/ (* y z) t))) (/ 1 t)))
(* y (* z (+ 1 (* 1/2 z))))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t)))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))))
(* y (+ (* -1 (/ z t)) (/ x y)))
(* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))
(- (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (/ 1 (* t (* y (- (exp z) 1)))))
(- (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (/ 1 (* t (* y (- (exp z) 1)))))
(- (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (/ 1 (* t (* y (- (exp z) 1)))) (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3)))))))
(* 1/2 (pow y 2))
(* (pow y 2) (- 1/2 (* 1/2 (/ 1 y))))
(* 1/2 (/ (* (pow y 2) (pow z 2)) t))
(* (pow y 2) (+ (* 1/2 (/ (pow z 2) t)) (/ (* z (- (* -1/2 z) 1)) (* t y))))
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y))))
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1)))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2)))))
(* 1/2 (* (pow y 2) z))
(* (pow y 2) (- (+ (* -1/2 (/ z y)) (* 1/2 z)) (/ 1 y)))
(* 1/2 (/ (* (pow y 2) z) t))
(* (pow y 2) (- (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ z t))) (/ 1 (* t y))))
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(* -1 (* y (+ (* -1 (/ x y)) (/ z t))))
(* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t))
(+ (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))
(+ (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))))
(+ (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)))
(* (pow y 2) (+ (* -1 (/ (* z (+ 1 (* 1/2 z))) (* t y))) (* 1/2 (/ (pow z 2) t))))
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y))))
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z))))))
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y))))
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y))))
(* -1 (* y (+ 1 (* -1 (exp z)))))
(* -1 (* y (- (* z (- (* -1/24 z) 1/6)) 1/2)))
(* -1 (* y (- (* -1/24 z) 1/6)))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* 1/2 z)) y)) (* 1/2 z)))
(* (pow y 2) (+ (* -1 (/ (+ (* 1/2 (/ z t)) (/ 1 t)) y)) (* 1/2 (/ z t))))
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))))
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))))
(/ z t)
(* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t))))
(* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t))))))
(* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* -1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)) (* -1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t))))))))
(* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (- y (pow y 2))) t))))
(* y z)
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))))
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
(* z (+ y (* 1/2 (* y z))))
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))
(* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y)))))))
(* 1/2 y)
(+ (* 1/6 (* y z)) (* 1/2 y))
(+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y))))
(* 1/6 y)
(+ (* 1/24 (* y z)) (* 1/6 y))
(- (* -1/2 (* z (- y (pow y 2)))) y)
(* -1 (/ y t))
(+ (* -1 (/ y t)) (* -1/2 (/ (* z (- y (pow y 2))) t)))
(* z (+ (* -1 (/ y t)) (/ x z)))
(* -1/2 (/ (* (pow z 2) (- y (pow y 2))) t))
(* (pow z 2) (+ (* -1 (/ y (* t z))) (* -1/2 (/ (- y (pow y 2)) t))))
(log (- (+ 1 (* y (exp z))) y))
(- (* y (exp z)) y)
(* 1/24 (* y (pow z 2)))
(* (pow z 2) (+ (* 1/24 y) (* 1/6 (/ y z))))
(* (pow z 2) (+ (* 1/24 y) (+ (* 1/6 (/ y z)) (* 1/2 (/ y (pow z 2))))))
(* 1/24 (* y z))
(* z (+ (* 1/24 y) (* 1/6 (/ y z))))
(* -1/2 (* z (- y (pow y 2))))
(* z (+ (* -1 (/ y z)) (* -1/2 (- y (pow y 2)))))
(* -1/2 (/ (* z (- y (pow y 2))) t))
(* z (+ (* -1 (/ y (* t z))) (* -1/2 (/ (- y (pow y 2)) t))))
(* 1/2 (* y (pow z 2)))
(* (pow z 2) (+ (* 1/2 y) (/ y z)))
(* -1 (* z (+ (* -1 (/ x z)) (/ y t))))
(* (pow z 2) (+ (* -1 (/ (+ (* -1/2 (/ y z)) (* -1/6 y)) z)) (* 1/24 y)))
(* -1 (* z (+ (* -1/6 (/ y z)) (* -1/24 y))))
(* -1 (* z (+ (* 1/2 (- y (pow y 2))) (/ y z))))
(* -1 (* z (+ (* 1/2 (/ (- y (pow y 2)) t)) (/ y (* t z)))))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (+ (* -1 (* y z)) (* t x)) t)
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) t)
(/ (- (* -1/2 (* z (- y (pow y 2)))) y) t)
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
Calls

12 calls:

TimeVariablePointExpression
26.0ms
z
@-inf
((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg y) (/ z t)) x) (neg y) (/ z t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (* (neg y) (/ z t)) (* (- y (* y y)) -1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (* (/ (+ (* z (* (- y (* y y)) -1/2)) (neg y)) t) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (log (+ 1 (- (* (exp z) y) y))) (- (* (exp z) y) y) (+ (* (+ (* 1/24 (* z y)) (* 1/6 y)) z) (* 1/2 y)) (+ (* 1/24 (* z y)) (* 1/6 y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (+ (* z (* (- y (* y y)) -1/2)) (neg y)) (/ (+ (* z (* (- y (* y y)) -1/2)) (neg y)) t) (* (* (+ (* 1/2 z) 1) z) y) (- (* (exp z) y) y) (log (+ 1 (- (* (exp z) y) y))))
12.0ms
t
@inf
((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg y) (/ z t)) x) (neg y) (/ z t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (* (neg y) (/ z t)) (* (- y (* y y)) -1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (* (/ (+ (* z (* (- y (* y y)) -1/2)) (neg y)) t) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (log (+ 1 (- (* (exp z) y) y))) (- (* (exp z) y) y) (+ (* (+ (* 1/24 (* z y)) (* 1/6 y)) z) (* 1/2 y)) (+ (* 1/24 (* z y)) (* 1/6 y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (+ (* z (* (- y (* y y)) -1/2)) (neg y)) (/ (+ (* z (* (- y (* y y)) -1/2)) (neg y)) t) (* (* (+ (* 1/2 z) 1) z) y) (- (* (exp z) y) y) (log (+ 1 (- (* (exp z) y) y))))
12.0ms
t
@-inf
((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg y) (/ z t)) x) (neg y) (/ z t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (* (neg y) (/ z t)) (* (- y (* y y)) -1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (* (/ (+ (* z (* (- y (* y y)) -1/2)) (neg y)) t) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (log (+ 1 (- (* (exp z) y) y))) (- (* (exp z) y) y) (+ (* (+ (* 1/24 (* z y)) (* 1/6 y)) z) (* 1/2 y)) (+ (* 1/24 (* z y)) (* 1/6 y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (+ (* z (* (- y (* y y)) -1/2)) (neg y)) (/ (+ (* z (* (- y (* y y)) -1/2)) (neg y)) t) (* (* (+ (* 1/2 z) 1) z) y) (- (* (exp z) y) y) (log (+ 1 (- (* (exp z) y) y))))
10.0ms
t
@0
((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg y) (/ z t)) x) (neg y) (/ z t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (* (neg y) (/ z t)) (* (- y (* y y)) -1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (* (/ (+ (* z (* (- y (* y y)) -1/2)) (neg y)) t) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (log (+ 1 (- (* (exp z) y) y))) (- (* (exp z) y) y) (+ (* (+ (* 1/24 (* z y)) (* 1/6 y)) z) (* 1/2 y)) (+ (* 1/24 (* z y)) (* 1/6 y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (+ (* z (* (- y (* y y)) -1/2)) (neg y)) (/ (+ (* z (* (- y (* y y)) -1/2)) (neg y)) t) (* (* (+ (* 1/2 z) 1) z) y) (- (* (exp z) y) y) (log (+ 1 (- (* (exp z) y) y))))
10.0ms
z
@inf
((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg y) (/ z t)) x) (neg y) (/ z t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (* (neg y) (/ z t)) (* (- y (* y y)) -1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (* (/ (+ (* z (* (- y (* y y)) -1/2)) (neg y)) t) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (log (+ 1 (- (* (exp z) y) y))) (- (* (exp z) y) y) (+ (* (+ (* 1/24 (* z y)) (* 1/6 y)) z) (* 1/2 y)) (+ (* 1/24 (* z y)) (* 1/6 y)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (+ (* z (* (- y (* y y)) -1/2)) (neg y)) (/ (+ (* z (* (- y (* y y)) -1/2)) (neg y)) t) (* (* (+ (* 1/2 z) 1) z) y) (- (* (exp z) y) y) (log (+ 1 (- (* (exp z) y) y))))

simplify233.0ms (1.6%)

Memory
-28.3MiB live, 161.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04962251
116742100
261812043
083431822
Stop Event
iter limit
node limit
Counts
120 → 119
Calls
Call 1
Inputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(* -1 (/ (* y z) t))
(+ x (* -1 (/ (* y z) t)))
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* x (+ 1 (* -1 (/ (* y z) (* t x)))))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(* -1 (* x (- (/ (* y z) (* t x)) 1)))
(+ x (* y (- (/ 1 t) (/ (exp z) t))))
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t))))
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t))))
(* -1 y)
(* -1 (/ (* y (- (exp z) 1)) t))
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t))))
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* 1/2 (/ (pow (- (exp z) 1) 2) t))))))
(* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* 1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/3 (/ (pow (- (exp z) 1) 3) t)) (* 1/4 (/ (* y (pow (- (exp z) 1) 4)) t))))))))
(* -1/2 y)
(* y (- (* 1/2 y) 1/2))
(/ (* y (* z (- (* -1/2 z) 1))) t)
(* y (+ (* 1/2 (/ (* y (pow z 2)) t)) (/ (* z (- (* -1/2 z) 1)) t)))
(* y (- (exp z) 1))
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1))
(* y (+ 1/2 (* z (+ 1/6 (* 1/24 z)))))
(* y (+ 1/6 (* 1/24 z)))
(* y (- (* -1/2 z) 1))
(* y (- (+ (* -1/2 z) (* 1/2 (* y z))) 1))
(/ (* y (- (* -1/2 z) 1)) t)
(* y (- (+ (* -1/2 (/ z t)) (* 1/2 (/ (* y z) t))) (/ 1 t)))
(* y (* z (+ 1 (* 1/2 z))))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t)))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))))
(* y (+ (* -1 (/ z t)) (/ x y)))
(* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))
(- (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (/ 1 (* t (* y (- (exp z) 1)))))
(- (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (/ 1 (* t (* y (- (exp z) 1)))))
(- (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (/ 1 (* t (* y (- (exp z) 1)))) (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3)))))))
(* 1/2 (pow y 2))
(* (pow y 2) (- 1/2 (* 1/2 (/ 1 y))))
(* 1/2 (/ (* (pow y 2) (pow z 2)) t))
(* (pow y 2) (+ (* 1/2 (/ (pow z 2) t)) (/ (* z (- (* -1/2 z) 1)) (* t y))))
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y))))
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1)))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2)))))
(* 1/2 (* (pow y 2) z))
(* (pow y 2) (- (+ (* -1/2 (/ z y)) (* 1/2 z)) (/ 1 y)))
(* 1/2 (/ (* (pow y 2) z) t))
(* (pow y 2) (- (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ z t))) (/ 1 (* t y))))
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(- (+ x (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(* -1 (* y (+ (* -1 (/ x y)) (/ z t))))
(* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t))
(+ (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))
(+ (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))))
(+ (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (- (* -1 (/ (+ (* 1/3 (/ 1 (* t (* y (pow (+ 1 (* -1 (exp z))) 3))))) (* 1/2 (/ 1 (* t (pow (+ 1 (* -1 (exp z))) 2))))) y)) (/ 1 (* t (+ 1 (* -1 (exp z)))))) y)))
(* (pow y 2) (+ (* -1 (/ (* z (+ 1 (* 1/2 z))) (* t y))) (* 1/2 (/ (pow z 2) t))))
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y))))
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z))))))
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (* 1/2 (/ 1 (* y (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (+ 1 (* -1 (exp z))))) y))))
(+ (log (+ 1 (* -1 (exp z)))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (+ (/ 1/3 (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 3))) (+ (/ 1/2 (* y (pow (+ 1 (* -1 (exp z))) 2))) (/ 1 (+ 1 (* -1 (exp z)))))) y))))
(* -1 (* y (+ 1 (* -1 (exp z)))))
(* -1 (* y (- (* z (- (* -1/24 z) 1/6)) 1/2)))
(* -1 (* y (- (* -1/24 z) 1/6)))
(* (pow y 2) (+ (* -1 (/ (+ 1 (* 1/2 z)) y)) (* 1/2 z)))
(* (pow y 2) (+ (* -1 (/ (+ (* 1/2 (/ z t)) (/ 1 t)) y)) (* 1/2 (/ z t))))
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))))
(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))))
(/ z t)
(* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t))))
(* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t))))))
(* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* -1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)) (* -1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t))))))))
(* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (- y (pow y 2))) t))))
(* y z)
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))))
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
(* z (+ y (* 1/2 (* y z))))
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))
(* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y)))))))
(* 1/2 y)
(+ (* 1/6 (* y z)) (* 1/2 y))
(+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y))))
(* 1/6 y)
(+ (* 1/24 (* y z)) (* 1/6 y))
(- (* -1/2 (* z (- y (pow y 2)))) y)
(* -1 (/ y t))
(+ (* -1 (/ y t)) (* -1/2 (/ (* z (- y (pow y 2))) t)))
(* z (+ (* -1 (/ y t)) (/ x z)))
(* -1/2 (/ (* (pow z 2) (- y (pow y 2))) t))
(* (pow z 2) (+ (* -1 (/ y (* t z))) (* -1/2 (/ (- y (pow y 2)) t))))
(log (- (+ 1 (* y (exp z))) y))
(- (* y (exp z)) y)
(* 1/24 (* y (pow z 2)))
(* (pow z 2) (+ (* 1/24 y) (* 1/6 (/ y z))))
(* (pow z 2) (+ (* 1/24 y) (+ (* 1/6 (/ y z)) (* 1/2 (/ y (pow z 2))))))
(* 1/24 (* y z))
(* z (+ (* 1/24 y) (* 1/6 (/ y z))))
(* -1/2 (* z (- y (pow y 2))))
(* z (+ (* -1 (/ y z)) (* -1/2 (- y (pow y 2)))))
(* -1/2 (/ (* z (- y (pow y 2))) t))
(* z (+ (* -1 (/ y (* t z))) (* -1/2 (/ (- y (pow y 2)) t))))
(* 1/2 (* y (pow z 2)))
(* (pow z 2) (+ (* 1/2 y) (/ y z)))
(* -1 (* z (+ (* -1 (/ x z)) (/ y t))))
(* (pow z 2) (+ (* -1 (/ (+ (* -1/2 (/ y z)) (* -1/6 y)) z)) (* 1/24 y)))
(* -1 (* z (+ (* -1/6 (/ y z)) (* -1/24 y))))
(* -1 (* z (+ (* 1/2 (- y (pow y 2))) (/ y z))))
(* -1 (* z (+ (* 1/2 (/ (- y (pow y 2)) t)) (/ y (* t z)))))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (+ (* -1 (* y z)) (* t x)) t)
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) t)
(/ (- (* -1/2 (* z (- y (pow y 2)))) y) t)
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
Outputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
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(* -1 (/ (* y z) t))
(*.f64 (neg.f64 y) (/.f64 z t))
(+ x (* -1 (/ (* y z) t)))
(-.f64 x (/.f64 (*.f64 z y) t))
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
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(* x (+ 1 (* -1 (/ (* y z) (* t x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z y) t) x)) x)
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
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(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t))))
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(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t))))
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(* -1 y)
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(* y (+ (* -1 (/ (- (exp z) 1) t)) (* y (+ (* 1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/3 (/ (pow (- (exp z) 1) 3) t)) (* 1/4 (/ (* y (pow (- (exp z) 1) 4)) t))))))))
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(* -1/2 y)
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(* y (- (* 1/2 y) 1/2))
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(/ (* y (* z (- (* -1/2 z) 1))) t)
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64)) z) t) y)
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(* y (- (exp z) 1))
(*.f64 (expm1.f64 z) y)
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(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1))
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(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1))
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(* y (+ 1/2 (* z (+ 1/6 (* 1/24 z)))))
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(/ (* y (- (* -1/2 z) 1)) t)
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) z) #s(literal 1 binary64)) t) y)
(* y (- (+ (* -1/2 (/ z t)) (* 1/2 (/ (* y z) t))) (/ 1 t)))
(*.f64 (/.f64 (-.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64))) #s(literal 1 binary64)) t) y)
(* y (* z (+ 1 (* 1/2 z))))
(*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) z)
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(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
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(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))))
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(* y (+ (* -1 (/ z t)) (/ x y)))
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(- (+ (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (/ 1 (* t (* y (- (exp z) 1)))) (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3)))))))
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(* 1/2 (pow y 2))
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(* (pow y 2) (- 1/2 (* 1/2 (/ 1 y))))
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(* 1/2 (/ (* (pow y 2) (pow z 2)) t))
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(* 1/2 (* (pow y 2) z))
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(*.f64 (fma.f64 (/.f64 z t) #s(literal -1 binary64) (/.f64 x y)) y)
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(/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (neg.f64 t))
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(+ (* -1 (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)) (+ (/ 1/2 (* t (* (pow y 2) (pow (+ 1 (* -1 (exp z))) 2)))) (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))))
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(* (pow y 2) (+ (* -1 (/ (* z (+ 1 (* 1/2 z))) (* t y))) (* 1/2 (/ (pow z 2) t))))
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(* (pow y 2) (+ (* -1 (/ (+ (* 1/2 (/ z t)) (/ 1 t)) y)) (* 1/2 (/ z t))))
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(+ x (* z (- (* z (- (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t))))
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(/ z t)
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(*.f64 (fma.f64 (/.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64) (*.f64 z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal -1/6 binary64)))) t) z (/.f64 (neg.f64 y) t)) z)
(* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* -1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)) (* -1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t))))))))
(*.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal -1/2 binary64) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal -1/6 binary64))) t) z)) z (/.f64 (neg.f64 y) t)) z)
(* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (- y (pow y 2))) t))))
(*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) z (neg.f64 y)) (/.f64 z t))
(* y z)
(*.f64 z y)
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))))
(*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z y) z)
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) z (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)
(* z (+ y (* 1/2 (* y z))))
(*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) z)
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z)
(* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y)))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) y) z y) z)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(+ (* 1/6 (* y z)) (* 1/2 y))
(fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y))
(+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) y)
(* 1/6 y)
(*.f64 #s(literal 1/6 binary64) y)
(+ (* 1/24 (* y z)) (* 1/6 y))
(*.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) y)
(- (* -1/2 (* z (- y (pow y 2)))) y)
(fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) z (neg.f64 y))
(* -1 (/ y t))
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(+ (* -1 (/ y t)) (* -1/2 (/ (* z (- y (pow y 2))) t)))
(/.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) z (neg.f64 y)) t)
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(*.f64 (fma.f64 (/.f64 y t) #s(literal -1 binary64) (/.f64 x z)) z)
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(*.f64 (*.f64 (*.f64 z z) #s(literal -1/2 binary64)) (/.f64 (-.f64 y (*.f64 y y)) t))
(* (pow z 2) (+ (* -1 (/ y (* t z))) (* -1/2 (/ (- y (pow y 2)) t))))
(*.f64 (*.f64 (/.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 (neg.f64 y) z)) t) z) z)
(log (- (+ 1 (* y (exp z))) y))
(log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))
(- (* y (exp z)) y)
(-.f64 (*.f64 (exp.f64 z) y) y)
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(*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) z) y) z)
(* (pow z 2) (+ (* 1/24 y) (* 1/6 (/ y z))))
(*.f64 (*.f64 (fma.f64 (/.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) y)) z) z)
(* (pow z 2) (+ (* 1/24 y) (+ (* 1/6 (/ y z)) (* 1/2 (/ y (pow z 2))))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) y (/.f64 (fma.f64 #s(literal 1/6 binary64) y (/.f64 (*.f64 #s(literal 1/2 binary64) y) z)) z)) z) z)
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(* z (+ (* 1/24 y) (* 1/6 (/ y z))))
(*.f64 (fma.f64 (/.f64 y z) #s(literal 1/6 binary64) (*.f64 #s(literal 1/24 binary64) y)) z)
(* -1/2 (* z (- y (pow y 2))))
(*.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) z)
(* z (+ (* -1 (/ y z)) (* -1/2 (- y (pow y 2)))))
(*.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 (neg.f64 y) z)) z)
(* -1/2 (/ (* z (- y (pow y 2))) t))
(*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) (*.f64 #s(literal -1/2 binary64) z))
(* z (+ (* -1 (/ y (* t z))) (* -1/2 (/ (- y (pow y 2)) t))))
(*.f64 (/.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64) (/.f64 (neg.f64 y) z)) t) z)
(* 1/2 (* y (pow z 2)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) z) y)
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(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y (/.f64 y z)) z) z)
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(* (pow z 2) (+ (* -1 (/ (+ (* -1/2 (/ y z)) (* -1/6 y)) z)) (* 1/24 y)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/24 binary64) y (/.f64 (fma.f64 (/.f64 y z) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) y)) (neg.f64 z))) z) z)
(* -1 (* z (+ (* -1/6 (/ y z)) (* -1/24 y))))
(*.f64 (neg.f64 z) (fma.f64 (/.f64 y z) #s(literal -1/6 binary64) (*.f64 #s(literal -1/24 binary64) y)))
(* -1 (* z (+ (* 1/2 (- y (pow y 2))) (/ y z))))
(*.f64 (neg.f64 z) (fma.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 y z)))
(* -1 (* z (+ (* 1/2 (/ (- y (pow y 2)) t)) (/ y (* t z)))))
(*.f64 (neg.f64 z) (/.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64) (/.f64 y z)) t))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/.f64 (-.f64 (*.f64 t x) (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y))) t)
(/ (+ (* -1 (* y z)) (* t x)) t)
(/.f64 (fma.f64 (neg.f64 y) z (*.f64 t x)) t)
(/ (* z (- (* -1/2 (* z (- y (pow y 2)))) y)) t)
(*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) z (neg.f64 y)) (/.f64 z t))
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(/.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) z (neg.f64 y)) t)
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(-.f64 x (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) t))

rewrite187.0ms (1.3%)

Memory
44.9MiB live, 173.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056442
088442
1329436
22427436
08366412
Stop Event
iter limit
node limit
iter limit
Counts
24 → 300
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 y) (/.f64 z t) x))
(fma.f64 (neg.f64 y) (/.f64 z t) x)
(neg.f64 y)
(/.f64 z t)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t))))
#s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t)))
(*.f64 (neg.f64 y) (/.f64 z t))
(*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z)))
#s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z))
(*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (neg.f64 t)))
(/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (neg.f64 t))
(log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))
#s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y))
(fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) (neg.f64 t)))
(/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) (neg.f64 t))
(fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y))
(/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t)
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)
#s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))
(log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)))
Outputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 z t) (neg.f64 y) x))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 z t) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (/.f64 z t) (neg.f64 y)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z t) y) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (/.f64 z t) (neg.f64 y)) x))))
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(/.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z) (neg.f64 y)) t))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z)))) t))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z (neg.f64 y))) (neg.f64 t))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z (neg.f64 y)) t)
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z (neg.f64 y)) (neg.f64 t)))
(fma.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) (/.f64 #s(literal -1/2 binary64) t) (/.f64 (neg.f64 y) t))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) (/.f64 z t) (/.f64 (neg.f64 y) t))
(fma.f64 z (/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) t) (/.f64 (neg.f64 y) t))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z) t) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z) (neg.f64 y)) t)) (/.f64 (pow.f64 (/.f64 (neg.f64 y) t) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z) (neg.f64 y)) t)))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z) (neg.f64 y)) t)) (/.f64 (*.f64 y y) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z) (neg.f64 y)) t)))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z) (neg.f64 y))) t) (/.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z) (neg.f64 y))) t))
(-.f64 (/.f64 (neg.f64 y) t) (/.f64 (*.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z)) #s(literal -1/2 binary64)) t))
(-.f64 (/.f64 (neg.f64 y) t) (/.f64 (*.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y))) z) t))
(-.f64 (/.f64 (neg.f64 y) t) (/.f64 (*.f64 (neg.f64 z) (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y))) t))
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z) t) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z) t) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (neg.f64 y) t) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z) t) (/.f64 (neg.f64 y) t))))) (/.f64 (pow.f64 (/.f64 (neg.f64 y) t) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z) t) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (neg.f64 y) t) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z) t) (/.f64 (neg.f64 y) t))))))
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z) t) (*.f64 t t)) (/.f64 (*.f64 t (neg.f64 y)) (*.f64 t t)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z)))) t)) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z) #s(literal 3 binary64)) (*.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z)))) t)))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z) #s(literal 3 binary64)) (*.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z)))) t)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z)))) t)))
(+.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z))))) t) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z))))) t))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z) (neg.f64 y)) t)) (/.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z) (neg.f64 y)) t)))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z) #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z) (neg.f64 y)) t)) (/.f64 (*.f64 (neg.f64 y) y) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z) (neg.f64 y)) t)))
(+.f64 (/.f64 (neg.f64 y) t) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z) t))
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) z) t) (/.f64 (neg.f64 y) t))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y) z)
(*.f64 (*.f64 y (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64))) z)
(*.f64 (*.f64 z y) (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) (*.f64 z y))
(*.f64 z (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) y))
(*.f64 y (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 z y))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (*.f64 z y))) (neg.f64 (fma.f64 (*.f64 z z) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) z)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 z y)) (-.f64 (*.f64 #s(literal 1/2 binary64) z) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (*.f64 z y)) (fma.f64 (*.f64 z z) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) z))))
(*.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)))
#s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))
(log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)))
(-.f64 (log.f64 (-.f64 (pow.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)) #s(literal 1 binary64))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)) (-.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)) #s(literal 2 binary64)))) (log.f64 (-.f64 #s(literal 1 binary64) #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)))))
(-.f64 (log1p.f64 (pow.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)) #s(literal 3 binary64))) (log.f64 (+.f64 (pow.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))))))
(-.f64 (log1p.f64 (pow.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)) #s(literal 3 binary64))) (log1p.f64 (-.f64 (pow.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)) #s(literal 2 binary64)) #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)))))
(log.f64 (+.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64))) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)) #s(literal 1 binary64)))

eval119.0ms (0.8%)

Memory
-32.7MiB live, 123.2MiB allocated
Compiler

Compiled 22 351 to 2 713 computations (87.9% saved)

prune49.0ms (0.3%)

Memory
29.5MiB live, 74.4MiB allocated
Pruning

25 alts after pruning (17 fresh and 8 done)

PrunedKeptTotal
New4139422
Fresh2810
Picked235
Done156
Total41825443
Accuracy
99.6%
Counts
443 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.5%
(-.f64 x (/.f64 (log.f64 (-.f64 (fma.f64 (exp.f64 z) y (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 y (/.f64 y (+.f64 y #s(literal 1 binary64)))))) t))
59.5%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)))) t))
59.4%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* z y)) (* 1/2 y)) (*.f64 (*.f64 #s(literal 1/6 binary64) z) y)) z y) z #s(literal 1 binary64)))) t))
81.0%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
66.7%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
82.7%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
52.5%
(-.f64 x (-.f64 (/.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) t) (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))) t)))
51.7%
(-.f64 x (-.f64 (/.f64 (log.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) t) (/.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) t)))
65.4%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
54.1%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) #s(approx (* (/ (+ (* 1/2 z) 1) t) z) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) z) z))) y)))
72.3%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 y) (/.f64 z t) x))
15.1%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t)))
18.5%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) y) z y) z))) (neg.f64 t)))
18.3%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 (* z y)) (* 1/6 y)) z) (* 1/2 y)) (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) z) y) z)) z y) z))) (neg.f64 t)))
18.4%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (neg.f64 t)))
2.6%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) z) y)))) (neg.f64 t)))
20.3%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (- (* (exp z) y) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
14.1%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (- (* (exp z) y) y))) (*.f64 z y)) (neg.f64 t)))
11.6%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)))))
70.9%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64))))
13.3%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z #s(approx (* (- y (* y y)) -1/2) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (neg.f64 y)) t) z)))
13.4%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z #s(approx (* (- y (* y y)) -1/2) (*.f64 #s(literal -1/2 binary64) y)) (neg.f64 y)) t) z)))
3.2%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 #s(approx (+ (* z (* (- y (* y y)) -1/2)) (neg y)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/2 binary64))) t) z)))
14.6%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t))))
13.8%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 #s(approx (/ (+ (* z (* (- y (* y y)) -1/2)) (neg y)) t) (/.f64 (neg.f64 y) t)) z)))
Compiler

Compiled 2 056 to 891 computations (56.7% saved)

regimes131.0ms (0.9%)

Memory
-48.3MiB live, 100.3MiB allocated
Counts
38 → 3
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 #s(approx (/ (+ (* z (* (- y (* y y)) -1/2)) (neg y)) t) (/.f64 (neg.f64 y) t)) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (- (* (exp z) y) y))) (*.f64 z y)) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 y) (/.f64 z t) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z #s(approx (* (- y (* y y)) -1/2) (*.f64 #s(literal -1/2 binary64) y)) (neg.f64 y)) t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) #s(approx (* (/ (+ (* 1/2 z) 1) t) z) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) z) z))) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) t) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 #s(approx (+ (* z (* (- y (* y y)) -1/2)) (neg y)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/2 binary64))) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z #s(approx (* (- y (* y y)) -1/2) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (neg.f64 y)) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (- (* (exp z) y) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) z) y)))) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (neg.f64 t)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* z y)) (* 1/2 y)) (*.f64 (*.f64 #s(literal 1/6 binary64) z) y)) z y) z #s(literal 1 binary64)))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 (* z y)) (* 1/6 y)) z) (* 1/2 y)) (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) z) y) z)) z y) z))) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) y) z y) z))) (neg.f64 t)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) (neg.f64 t)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (neg.f64 t)))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (-.f64 (*.f64 (exp.f64 z) y) y)) (*.f64 t x)) #s(literal 1 binary64))))
(-.f64 x (/.f64 (log.f64 (-.f64 (fma.f64 (exp.f64 z) y (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 y (/.f64 y (+.f64 y #s(literal 1 binary64)))))) t))
(-.f64 x (-.f64 (/.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) t) (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y))) t)))
(-.f64 x (-.f64 (/.f64 (log.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) t) (/.f64 (log.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y y)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) t)))
Outputs
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)))) t))
Calls

9 calls:

27.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
23.0ms
t
10.0ms
z
10.0ms
y
10.0ms
x
Results
AccuracySegmentsBranch
89.5%2(exp.f64 z)
94.1%3(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
94.1%3(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
93.6%3(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
91.8%3(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
86.8%2x
96.8%3y
91.2%3z
88.1%3t
Compiler

Compiled 47 to 63 computations (-34% saved)

regimes89.0ms (0.6%)

Memory
1.4MiB live, 48.9MiB allocated
Counts
30 → 3
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 #s(approx (/ (+ (* z (* (- y (* y y)) -1/2)) (neg y)) t) (/.f64 (neg.f64 y) t)) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (- (* (exp z) y) y))) (*.f64 z y)) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 y) (/.f64 z t) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z #s(approx (* (- y (* y y)) -1/2) (*.f64 #s(literal -1/2 binary64) y)) (neg.f64 y)) t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) #s(approx (* (/ (+ (* 1/2 z) 1) t) z) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) z) z))) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) t) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 #s(approx (+ (* z (* (- y (* y y)) -1/2)) (neg y)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/2 binary64))) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z #s(approx (* (- y (* y y)) -1/2) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (neg.f64 y)) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (- (* (exp z) y) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) z) y)))) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (neg.f64 t)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* z y)) (* 1/2 y)) (*.f64 (*.f64 #s(literal 1/6 binary64) z) y)) z y) z #s(literal 1 binary64)))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 #s(approx (+ (* (+ (* 1/24 (* z y)) (* 1/6 y)) z) (* 1/2 y)) (*.f64 (*.f64 (*.f64 #s(literal 1/24 binary64) z) y) z)) z y) z))) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) y) z y) z))) (neg.f64 t)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) (neg.f64 t)))
Outputs
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)))) t))
Calls

7 calls:

46.0ms
(exp.f64 z)
8.0ms
y
8.0ms
z
7.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
6.0ms
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
Results
AccuracySegmentsBranch
83.8%1(exp.f64 z)
86.3%2z
85.4%2(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
85.9%2(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
89.3%3(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
89.3%3(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
89.8%3y
Compiler

Compiled 45 to 55 computations (-22.2% saved)

regimes8.0ms (0.1%)

Memory
4.9MiB live, 4.9MiB allocated
Counts
25 → 3
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 #s(approx (/ (+ (* z (* (- y (* y y)) -1/2)) (neg y)) t) (/.f64 (neg.f64 y) t)) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (- (* (exp z) y) y))) (*.f64 z y)) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 y) (/.f64 z t) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z #s(approx (* (- y (* y y)) -1/2) (*.f64 #s(literal -1/2 binary64) y)) (neg.f64 y)) t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) #s(approx (* (/ (+ (* 1/2 z) 1) t) z) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) z) z))) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) t) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 #s(approx (+ (* z (* (- y (* y y)) -1/2)) (neg y)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/2 binary64))) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z #s(approx (* (- y (* y y)) -1/2) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (neg.f64 y)) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (- (* (exp z) y) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) z) y)))) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (neg.f64 t)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* z y)) (* 1/2 y)) (*.f64 (*.f64 #s(literal 1/6 binary64) z) y)) z y) z #s(literal 1 binary64)))) t))
Outputs
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* z y)) (* 1/2 y)) (*.f64 (*.f64 #s(literal 1/6 binary64) z) y)) z y) z #s(literal 1 binary64)))) t))
Calls

1 calls:

7.0ms
y
Results
AccuracySegmentsBranch
89.8%3y
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes8.0ms (0.1%)

Memory
5.0MiB live, 5.0MiB allocated
Counts
24 → 3
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 #s(approx (/ (+ (* z (* (- y (* y y)) -1/2)) (neg y)) t) (/.f64 (neg.f64 y) t)) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (- (* (exp z) y) y))) (*.f64 z y)) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 y) (/.f64 z t) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z #s(approx (* (- y (* y y)) -1/2) (*.f64 #s(literal -1/2 binary64) y)) (neg.f64 y)) t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) #s(approx (* (/ (+ (* 1/2 z) 1) t) z) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) z) z))) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) t) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 #s(approx (+ (* z (* (- y (* y y)) -1/2)) (neg y)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/2 binary64))) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z #s(approx (* (- y (* y y)) -1/2) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (neg.f64 y)) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (- (* (exp z) y) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) z) y)))) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (neg.f64 t)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t))
Outputs
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t))
Calls

1 calls:

6.0ms
y
Results
AccuracySegmentsBranch
89.8%3y
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes7.0ms (0.1%)

Memory
9.4MiB live, 9.4MiB allocated
Counts
23 → 3
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 #s(approx (/ (+ (* z (* (- y (* y y)) -1/2)) (neg y)) t) (/.f64 (neg.f64 y) t)) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (- (* (exp z) y) y))) (*.f64 z y)) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 y) (/.f64 z t) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z #s(approx (* (- y (* y y)) -1/2) (*.f64 #s(literal -1/2 binary64) y)) (neg.f64 y)) t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) #s(approx (* (/ (+ (* 1/2 z) 1) t) z) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) z) z))) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) t) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 #s(approx (+ (* z (* (- y (* y y)) -1/2)) (neg y)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/2 binary64))) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z #s(approx (* (- y (* y y)) -1/2) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (neg.f64 y)) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (- (* (exp z) y) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) #s(approx (* (* (+ (* 1/2 z) 1) z) y) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) z) y)))) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 #s(approx (- (* (exp z) y) y) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y))) (neg.f64 t)))
Outputs
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
Calls

1 calls:

6.0ms
y
Results
AccuracySegmentsBranch
89.8%3y
Compiler

Compiled 1 to 4 computations (-300% saved)

regimes15.0ms (0.1%)

Memory
17.5MiB live, 17.5MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 #s(approx (/ (+ (* z (* (- y (* y y)) -1/2)) (neg y)) t) (/.f64 (neg.f64 y) t)) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (- (* (exp z) y) y))) (*.f64 z y)) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 y) (/.f64 z t) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z #s(approx (* (- y (* y y)) -1/2) (*.f64 #s(literal -1/2 binary64) y)) (neg.f64 y)) t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) #s(approx (* (/ (+ (* 1/2 z) 1) t) z) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) z) z))) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) t) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 #s(approx (+ (* z (* (- y (* y y)) -1/2)) (neg y)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/2 binary64))) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z #s(approx (* (- y (* y y)) -1/2) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (neg.f64 y)) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (- (* (exp z) y) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
Outputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64))))
Calls

3 calls:

5.0ms
y
4.0ms
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
4.0ms
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
Results
AccuracySegmentsBranch
87.4%2(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
87.4%2(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
86.7%2y
Compiler

Compiled 18 to 23 computations (-27.8% saved)

regimes67.0ms (0.5%)

Memory
-15.7MiB live, 36.9MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 #s(approx (/ (+ (* z (* (- y (* y y)) -1/2)) (neg y)) t) (/.f64 (neg.f64 y) t)) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (- (* (exp z) y) y))) (*.f64 z y)) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 y) (/.f64 z t) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z #s(approx (* (- y (* y y)) -1/2) (*.f64 #s(literal -1/2 binary64) y)) (neg.f64 y)) t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) #s(approx (* (/ (+ (* 1/2 z) 1) t) z) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) z) z))) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) t) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 #s(approx (+ (* z (* (- y (* y y)) -1/2)) (neg y)) (*.f64 (*.f64 (*.f64 y y) z) #s(literal 1/2 binary64))) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z #s(approx (* (- y (* y y)) -1/2) (*.f64 (*.f64 y y) #s(literal 1/2 binary64))) (neg.f64 y)) t) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) (neg.f64 y)) t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (- (* (exp z) y) y))) (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
Outputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
Calls

9 calls:

30.0ms
x
5.0ms
y
5.0ms
z
5.0ms
t
5.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
Results
AccuracySegmentsBranch
81.1%2(exp.f64 z)
75.5%3(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
72.3%1(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
81.1%2z
75.1%2t
76.2%2y
77.7%3x
77.2%2(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
77.2%2(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
Compiler

Compiled 47 to 63 computations (-34% saved)

regimes6.0ms (0%)

Memory
6.4MiB live, 6.4MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 #s(approx (/ (+ (* z (* (- y (* y y)) -1/2)) (neg y)) t) (/.f64 (neg.f64 y) t)) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (- (* (exp z) y) y))) (*.f64 z y)) (neg.f64 t)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 y) (/.f64 z t) x))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (/.f64 (fma.f64 z #s(approx (* (- y (* y y)) -1/2) (*.f64 #s(literal -1/2 binary64) y)) (neg.f64 y)) t) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) #s(approx (* (/ (+ (* 1/2 z) 1) t) z) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) t) z) z))) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (/ (- (exp z) 1) t) y) (*.f64 (/.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) t) z))))
Outputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 y) (/.f64 z t) x))
Calls

2 calls:

3.0ms
z
2.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
80.9%2z
80.9%2(exp.f64 z)
Compiler

Compiled 3 to 9 computations (-200% saved)

regimes125.0ms (0.9%)

Memory
-24.5MiB live, 22.5MiB allocated
Accuracy

Total -43.3b remaining (-232.2%)

Threshold costs -43.3b (-232.2%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 #s(approx (/ (+ (* z (* (- y (* y y)) -1/2)) (neg y)) t) (/.f64 (neg.f64 y) t)) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (- (* (exp z) y) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 z t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 #s(approx (log (+ 1 (- (* (exp z) y) y))) (*.f64 z y)) (neg.f64 t)))
Outputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64))))
Calls

9 calls:

112.0ms
t
2.0ms
z
2.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
70.9%1(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
70.9%1(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
70.9%1t
70.9%1x
70.9%1y
70.9%1(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
70.9%1(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
70.9%1(exp.f64 z)
70.9%1z
Compiler

Compiled 47 to 63 computations (-34% saved)

bsearch151.0ms (1%)

Memory
1.5MiB live, 46.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
83.0ms
2.9008532007296044e+144
4.058656753709581e+156
26.0ms
-2.9337741574948732
-1.725278627263303e-5
Samples
65.0ms187×1valid
10.0ms117×0valid
10.0ms35×1invalid
7.0ms93×0invalid
Compiler

Compiled 827 to 705 computations (14.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-exp: 30.0ms (40.1% of total)
ival-log: 19.0ms (25.4% of total)
ival-sub: 7.0ms (9.3% of total)
adjust: 6.0ms (8% of total)
ival-div: 5.0ms (6.7% of total)
ival-mult: 4.0ms (5.3% of total)
ival-add: 3.0ms (4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch30.0ms (0.2%)

Memory
20.5MiB live, 20.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.9008532007296044e+144
4.058656753709581e+156
26.0ms
-2.1914508512815e+156
-8.471919687500882e+155
Samples
15.0ms44×1valid
3.0ms36×0valid
3.0ms14×1invalid
1.0ms0invalid
Compiler

Compiled 666 to 564 computations (15.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-exp: 8.0ms (44.8% of total)
ival-log: 4.0ms (22.4% of total)
ival-sub: 2.0ms (11.2% of total)
adjust: 1.0ms (5.6% of total)
ival-div: 1.0ms (5.6% of total)
ival-add: 1.0ms (5.6% of total)
ival-mult: 1.0ms (5.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.9008532007296044e+144
4.058656753709581e+156
1.0ms
-2.1914508512815e+156
-8.471919687500882e+155
Compiler

Compiled 756 to 624 computations (17.5% saved)

bsearch2.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.9008532007296044e+144
4.058656753709581e+156
1.0ms
-2.1914508512815e+156
-8.471919687500882e+155
Compiler

Compiled 636 to 544 computations (14.5% saved)

bsearch2.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.9008532007296044e+144
4.058656753709581e+156
1.0ms
-2.1914508512815e+156
-8.471919687500882e+155
Compiler

Compiled 586 to 514 computations (12.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
91.24940250836934
111.07101069028728
Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9727331723803374
Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch166.0ms (1.2%)

Memory
-24.7MiB live, 19.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
164.0ms
-1.3508610767561628e+32
-2.1597699577414503e+31
Samples
9.0ms33×1valid
5.0ms63×0valid
1.0ms15×0invalid
Compiler

Compiled 346 to 271 computations (21.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-log: 6.0ms (52.4% of total)
ival-sub: 2.0ms (17.5% of total)
ival-add: 1.0ms (8.7% of total)
ival-div: 1.0ms (8.7% of total)
adjust: 1.0ms (8.7% of total)
ival-exp: 1.0ms (8.7% of total)
ival-mult: 1.0ms (8.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify54.0ms (0.4%)

Memory
13.4MiB live, 13.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0111571
1166569
2283569
3516569
41003569
54324569
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal -1062849512059437/9007199254740992 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)) (if (<=.f64 y #s(literal 49000000000000000297066906161149518894769805918891769862313198389898954306784139113771545093330074212345950580014547532279123819885997800544010240 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)))) t))))
(if (<=.f64 y #s(literal -1399999999999999938595570204118895857152133126025846620193618489041394665615224221542167919084597195967526984020341121022442217496822213585152792652144443392 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) (if (<=.f64 y #s(literal 49000000000000000297066906161149518894769805918891769862313198389898954306784139113771545093330074212345950580014547532279123819885997800544010240 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)))) t))))
(if (<=.f64 y #s(literal -1399999999999999938595570204118895857152133126025846620193618489041394665615224221542167919084597195967526984020341121022442217496822213585152792652144443392 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) (if (<=.f64 y #s(literal 49000000000000000297066906161149518894769805918891769862313198389898954306784139113771545093330074212345950580014547532279123819885997800544010240 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(approx (+ (* 1/6 (* z y)) (* 1/2 y)) (*.f64 (*.f64 #s(literal 1/6 binary64) z) y)) z y) z #s(literal 1 binary64)))) t))))
(if (<=.f64 y #s(literal -1399999999999999938595570204118895857152133126025846620193618489041394665615224221542167919084597195967526984020341121022442217496822213585152792652144443392 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) (if (<=.f64 y #s(literal 49000000000000000297066906161149518894769805918891769862313198389898954306784139113771545093330074212345950580014547532279123819885997800544010240 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t))))
(if (<=.f64 y #s(literal -1399999999999999938595570204118895857152133126025846620193618489041394665615224221542167919084597195967526984020341121022442217496822213585152792652144443392 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) (if (<=.f64 y #s(literal 49000000000000000297066906161149518894769805918891769862313198389898954306784139113771545093330074212345950580014547532279123819885997800544010240 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))))
(if (<=.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) #s(literal 100 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)))) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y))))
(if (<=.f64 z #s(literal -23999999999999998225431182442496 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64)))) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 y) (/.f64 z t) x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64))))
Outputs
(if (<=.f64 y #s(literal -1062849512059437/9007199254740992 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (expm1.f64 z) y #s(literal 1 binary64)))) t)) (if (<=.f64 y #s(literal 49000000000000000297066906161149518894769805918891769862313198389898954306784139113771545093330074212345950580014547532279123819885997800544010240 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)))) t))))
(if (<=.f64 y #s(literal -1399999999999999938595570204118895857152133126025846620193618489041394665615224221542167919084597195967526984020341121022442217496822213585152792652144443392 binary64)) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)) (if (<=.f64 y #s(literal 49000000000000000297066906161149518894769805918891769862313198389898954306784139113771545093330074212345950580014547532279123819885997800544010240 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) y) z y) z #s(literal 1 binary64)))) t))))
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#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) #s(approx (- (/ (log (+ 1 (- (* (exp z) y) y))) (* t x)) 1) #s(literal -1 binary64))))

soundness791.0ms (5.5%)

Memory
21.1MiB live, 537.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03351597
110791468
240581425
091541220
05663459
119033105
273972987
082502595
Stop Event
fuel
iter limit
node limit
iter limit
node limit
Compiler

Compiled 865 to 405 computations (53.2% saved)

preprocess113.0ms (0.8%)

Memory
2.5MiB live, 140.3MiB allocated
Compiler

Compiled 1 250 to 304 computations (75.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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