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

Time bar (total: 18.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze351.0ms (1.9%)

Memory
9.7MiB live, 468.0MiB 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)

sample7.2s (39.2%)

Memory
83.2MiB live, 5 070.8MiB allocated
Samples
3.5s4 476×1valid
1.0s1 249×5exit
579.0ms3 780×0valid
475.0ms643×1invalid
259.0ms1 786×0invalid
216.0ms395×4exit
Precisions
Click to see histograms. Total time spent on operations: 4.3s
ival-log: 1.4s (32.3% of total)
ival-exp: 852.0ms (19.8% of total)
adjust: 759.0ms (17.7% of total)
ival-sub: 477.0ms (11.1% of total)
ival-div: 407.0ms (9.5% of total)
ival-mult: 213.0ms (5% of total)
ival-add: 176.0ms (4.1% of total)
ival-true: 10.0ms (0.2% of total)
exact: 9.0ms (0.2% of total)
ival-assert: 6.0ms (0.1% of total)
Bogosity

explain384.0ms (2.1%)

Memory
-4.8MiB live, 400.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
15260(9.646254361940206e-33 4.568573874265811e-308 1.1815791590071287e-123 -6.510857683073927e+117)0-(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
663(3.866867130154499e-264 4415848627706480.5 8.965880864160764e-266 -1.1748799400503473e-11)0-(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
200-3(-4.6631722437699266e-231 -2.269302888746012e-190 -5.602503942498584e-127 -5.0602207479343283e-110)(/.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))))sensitivity2110
+.f64(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))cancellation310
/.f64(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)u/n40
(exp.f64 z)underflow72
(*.f64 y (exp.f64 z))underflow72
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))underflow59
log.f64(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))oflow-rescue10
(exp.f64 z)overflow1
(*.f64 y (exp.f64 z))overflow1
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))overflow1
Confusion
Predicted +Predicted -
+908
-13523
Precision
0.4
Recall
0.9183673469387755
Confusion?
Predicted +Predicted MaybePredicted -
+9008
-135023
Precision?
0.4
Recall?
0.9183673469387755
Freqs
test
numberfreq
031
1203
222
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
182.0ms334×1valid
63.0ms126×2valid
5.0ms50×0valid
1.0ms5exit
Compiler

Compiled 182 to 52 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 204.0ms
ival-log: 86.0ms (42.1% of total)
ival-exp: 49.0ms (24% of total)
ival-sub: 33.0ms (16.1% of total)
adjust: 15.0ms (7.3% of total)
ival-div: 9.0ms (4.4% of total)
ival-mult: 7.0ms (3.4% of total)
ival-add: 5.0ms (2.4% of total)
ival-true: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess286.0ms (1.6%)

Memory
-10.4MiB live, 96.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067194
1147186
2389184
3980184
42702184
54575184
65259184
75516184
85725184
95858184
105946184
116393184
126537184
136549184
146559184
156559184
166559184
176559184
01213
01913
12913
25413
39313
418813
536113
653313
760313
867513
973013
1085613
1194813
1295513
1395613
09569
Stop Event
iter limit
saturated
iter limit
saturated
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 (expm1.f64 z) y)) t))
Compiler

Compiled 13 to 12 computations (7.7% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.9%
(-.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)

simplify54.0ms (0.3%)

Memory
5.0MiB live, 58.5MiB 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-diff64
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
cost-diff320
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01255
01955
12955
25455
39355
418855
536155
653355
760355
867555
973055
1085655
1194855
1295555
1395655
095640
Stop Event
iter limit
saturated
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 (expm1.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 (expm1.f64 z) y)) t)
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(-.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

localize184.0ms (1%)

Memory
-30.0MiB live, 165.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(*.f64 y (exp.f64 z))
accuracy4.390998954205755
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
accuracy15.949783735969957
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
accuracy34.70475170318926
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
Samples
102.0ms167×1valid
64.0ms63×2valid
2.0ms25×0valid
0.0ms5exit
Compiler

Compiled 112 to 26 computations (76.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 119.0ms
ival-log: 35.0ms (29.5% of total)
ival-mult: 28.0ms (23.6% of total)
ival-sub: 25.0ms (21.1% of total)
ival-exp: 16.0ms (13.5% of total)
adjust: 8.0ms (6.7% of total)
ival-div: 4.0ms (3.4% of total)
ival-add: 3.0ms (2.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series194.0ms (1.1%)

Memory
4.2MiB live, 164.4MiB allocated
Counts
5 → 69
Calls
Call 1
Inputs
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
(log.f64 (+.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)))
1
(+ 1 (* y (- (exp z) 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))
(+ 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))
(* y (- (+ (exp z) (/ 1 y)) 1))
(+ (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)))))
(- 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))))))
(* -1 (* y (+ 1 (* -1 (exp z)))))
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
(+ (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))))
(- 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)))
(+ 1 (* y z))
(+ 1 (* z (+ y (* 1/2 (* y z)))))
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(* 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)))))))))))
(+ 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))))))
(- (+ 1 (* y (exp z))) y)
(log (- (+ 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
95.0ms
t
@0
((+ (- 1 y) (* y (exp z))) (log (+ (- 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
((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))
25.0ms
z
@-inf
((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))
14.0ms
t
@inf
((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))
14.0ms
t
@-inf
((+ (- 1 y) (* y (exp z))) (log (+ (- 1 y) (* y (exp z)))) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* y (exp z)))

simplify243.0ms (1.3%)

Memory
44.1MiB live, 190.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03351607
110121507
231891458
082701214
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)))
1
(+ 1 (* y (- (exp z) 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))
(+ 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))
(* y (- (+ (exp z) (/ 1 y)) 1))
(+ (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))))
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(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 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64))
(* y z)
(*.f64 z y)
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) 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 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 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) z) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) #s(literal 1/6 binary64))) z (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)
(+ x (* -1 (/ (* y z) t)))
(fma.f64 (neg.f64 z) (/.f64 y t) x)
(+ 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 (fma.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal -1/2 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (/.f64 z t)) #s(literal -1/6 binary64))) z) (/.f64 y t)) z x)
(/ (* y z) t)
(*.f64 (/.f64 y t) z)
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))
(*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 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 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) (/.f64 z t)) #s(literal 1/6 binary64) (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64))) z (/.f64 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 (fma.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 y y) (fma.f64 #s(literal 2 binary64) y #s(literal -3 binary64)) y) t) #s(literal 1/6 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) y)) (/.f64 z t)) #s(literal 1/24 binary64))) z (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64))) 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)
(+ y (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z y)
(- (+ 1 (* y (exp z))) y)
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(log (- (+ 1 (* y (exp z))) y))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))

rewrite576.0ms (3.1%)

Memory
-21.6MiB live, 177.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01245
01945
17345
259345
3725045
0903038
Stop Event
iter limit
node limit
iter limit
Counts
5 → 287
Calls
Call 1
Inputs
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
(log.f64 (+.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
(*.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 3 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64)))) (fma.f64 (*.f64 (exp.f64 z) y) (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))))
(*.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))))
(*.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 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (exp.f64 z) y)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (exp.f64 z) y)) (-.f64 (*.f64 (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (exp.f64 z) y)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))))
(*.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)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (exp.f64 z) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64))))
(*.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))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal -1 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))))
(*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.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 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (neg.f64 y) (exp.f64 z) y) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (neg.f64 y) (exp.f64 z) y) (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.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)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))))
(*.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)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))))))
(*.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))) (pow.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) (/.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) (*.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.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))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (/.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))))
(*.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)))
(pow.f64 (pow.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) #s(literal -1 binary64))
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(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 6 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 3 binary64))))
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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))) #s(literal 1 binary64)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))
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(/.f64 (-.f64 (*.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) (fma.f64 (exp.f64 z) y #s(literal 1 binary64))) (*.f64 y y)) (+.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) y))
(/.f64 (-.f64 (*.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) (fma.f64 (exp.f64 z) y #s(literal 1 binary64))) (*.f64 y y)) (-.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) (neg.f64 y)))
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(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x)))))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) x)
(fma.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x)
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) x)
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x)))))
(fma.f64 (*.f64 x x) (pow.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x)))))
(fma.f64 (neg.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) (pow.f64 t #s(literal -1 binary64)) x)
(fma.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal -1 binary64) x)
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x)))))
(fma.f64 x (/.f64 x (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x)) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x))))
(fma.f64 x #s(literal 1 binary64) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t)))
(fma.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (/.f64 #s(literal -1 binary64) t) x)
(fma.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t)) x)
(fma.f64 #s(literal 1 binary64) x (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t)))
(-.f64 (+.f64 x #s(literal 0 binary64)) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t))
(-.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x)) (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x))
(-.f64 x (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t))
(+.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x)) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64)) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x)))))
(+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t)) x)
(+.f64 x (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t)))
(*.f64 (pow.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))))
(*.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t)))
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 t #s(literal -1 binary64)) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))))
(*.f64 (neg.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) (*.f64 (/.f64 #s(literal -1 binary64) t) #s(literal 1 binary64)))
(*.f64 (neg.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) (/.f64 #s(literal -1 binary64) t))
(*.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 1 binary64))
(*.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (pow.f64 t #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t))
(pow.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) #s(literal -1 binary64)) t)
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 t) (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))))
(/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))) (neg.f64 t))
(/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t)
(/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y)))))
(neg.f64 (*.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t)) #s(literal 1 binary64)))
(neg.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 t)) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 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 (log1p.f64 (neg.f64 (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) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)))) t))
(-.f64 #s(literal 0 binary64) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) (neg.f64 t)))
(exp.f64 (*.f64 (log.f64 (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))))) #s(literal -1 binary64)))
(*.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))

eval106.0ms (0.6%)

Memory
9.6MiB live, 95.4MiB allocated
Compiler

Compiled 12 342 to 1 644 computations (86.7% saved)

prune96.0ms (0.5%)

Memory
1.3MiB live, 39.4MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New33415349
Fresh000
Picked101
Done000
Total33515350
Accuracy
99.7%
Counts
350 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.9%
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (fma.f64 x x (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 2 binary64)))))
32.0%
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64))) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x)))
65.4%
(-.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))
64.1%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t))
71.9%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
32.1%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
73.5%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
62.3%
(-.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))
87.1%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
75.4%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
82.9%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))))))
64.6%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)))
88.9%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
75.5%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
27.5%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
Compiler

Compiled 694 to 496 computations (28.5% saved)

simplify354.0ms (1.9%)

Memory
-18.4MiB live, 233.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (expm1.f64 z) y)
cost-diff0
(log1p.f64 (*.f64 (expm1.f64 z) y))
cost-diff0
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))
cost-diff0
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
cost-diff0
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))
cost-diff0
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))
cost-diff0
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)
cost-diff0
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
cost-diff0
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z))
cost-diff0
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)))
cost-diff128
(*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64))
cost-diff704
(fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t))
cost-diff0
(/.f64 y t)
cost-diff0
(*.f64 (/.f64 y t) z)
cost-diff0
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))
cost-diff0
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
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
040338
065338
1116338
2203302
3381302
4923298
52826298
65845298
08495285
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 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))
(*.f64 (/.f64 y t) z)
(/.f64 y t)
y
t
z
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z))
(*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)
(fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t))
(*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64))
(/.f64 (-.f64 y (*.f64 y y)) t)
(-.f64 y (*.f64 y y))
y
(*.f64 y y)
t
#s(literal 1/2 binary64)
z
(/.f64 y t)
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
x
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))
(fma.f64 z y #s(literal 1 binary64))
z
y
#s(literal 1 binary64)
t
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)
(expm1.f64 z)
z
y
(neg.f64 t)
t
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 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))
(*.f64 (/.f64 y t) z)
(/.f64 y t)
y
t
z
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z #s(literal 1 binary64)) (*.f64 (/.f64 y t) z))))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z #s(literal 1 binary64)) (*.f64 (/.f64 y t) z)))
(*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z #s(literal 1 binary64)) (*.f64 (/.f64 y t) z))
(fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z #s(literal 1 binary64)) (/.f64 y t))
(*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) t) y)
(/.f64 (-.f64 y (*.f64 y y)) t)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) t)
(-.f64 y (*.f64 y y))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
y
(*.f64 y y)
t
#s(literal 1/2 binary64)
z
(/.f64 y t)
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
x
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))
(fma.f64 z y #s(literal 1 binary64))
z
y
#s(literal 1 binary64)
t
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)
(expm1.f64 z)
z
y
(neg.f64 t)
t

localize267.0ms (1.5%)

Memory
-5.2MiB live, 358.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(*.f64 (expm1.f64 z) y)
accuracy0.24599682691973934
(log1p.f64 (*.f64 (expm1.f64 z) y))
accuracy4.390998954205755
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))
accuracy45.105478622086686
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
accuracy0.0
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
accuracy4.390998954205755
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)
accuracy13.63409234134316
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))
accuracy34.70475170318926
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))
accuracy2.3716051175421287
(/.f64 (-.f64 y (*.f64 y y)) t)
accuracy2.9342407882168047
(*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)
accuracy9.14930906383099
(fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t))
accuracy22.97933746595869
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z))
accuracy0.0
(/.f64 y t)
accuracy0.0
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
accuracy4.852982669983794
(*.f64 (/.f64 y t) z)
accuracy22.249104840937818
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))
accuracy0.0
(expm1.f64 z)
accuracy0.01171875
(/.f64 (expm1.f64 z) t)
accuracy3.60142064664858
(*.f64 (/.f64 (expm1.f64 z) t) y)
accuracy10.681947853789666
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))
Samples
133.0ms167×1valid
89.0ms63×2valid
6.0ms25×0valid
1.0ms5exit
Compiler

Compiled 610 to 74 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 191.0ms
ival-log: 43.0ms (22.6% of total)
ival-mult: 42.0ms (22% of total)
adjust: 37.0ms (19.4% of total)
ival-exp: 19.0ms (10% of total)
ival-div: 16.0ms (8.4% of total)
ival-expm1: 13.0ms (6.8% of total)
ival-sub: 8.0ms (4.2% of total)
ival-add: 6.0ms (3.1% of total)
ival-log1p: 4.0ms (2.1% of total)
ival-neg: 1.0ms (0.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series277.0ms (1.5%)

Memory
12.1MiB live, 402.2MiB allocated
Counts
23 → 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 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))
(*.f64 (/.f64 y t) z)
(/.f64 y t)
(fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t))
(*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)
(expm1.f64 z)
(*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)
(/.f64 (-.f64 y (*.f64 y y)) t)
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)))
(+ 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 z) t)
(/ y t)
(* y (+ (* 1/2 (/ z t)) (/ 1 t)))
(* y (+ (* -1/2 (/ (* y z) t)) (+ (* 1/2 (/ z t)) (/ 1 t))))
(* 1/2 (/ y t))
(* y (+ (* -1/2 (/ y t)) (* 1/2 (/ 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)))
(* -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))))))))
(* y (* z (+ (* 1/2 (/ z t)) (/ 1 t))))
(* y (+ (* -1/2 (/ (* y (pow z 2)) t)) (* z (+ (* 1/2 (/ z t)) (/ 1 t)))))
(* y (+ (* -1 (/ y t)) (/ 1 t)))
(- 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))))))
(* -1/2 (/ (* (pow y 2) z) t))
(* (pow y 2) (+ (* -1/2 (/ z t)) (+ (* 1/2 (/ z (* t y))) (/ 1 (* t y)))))
(* -1/2 (/ (pow y 2) t))
(* (pow y 2) (- (* 1/2 (/ 1 (* t y))) (* 1/2 (/ 1 t))))
(+ (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 (/ (+ (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 z 2)) t))
(* (pow y 2) (+ (* -1/2 (/ (pow z 2) t)) (/ (* z (+ (* 1/2 (/ z t)) (/ 1 t))) y)))
(* -1 (/ (pow y 2) t))
(* (pow y 2) (- (/ 1 (* t y)) (/ 1 t)))
(- 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)))
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 (/ z t)) (/ 1 t)) y)) (* -1/2 (/ 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 (* -1 (exp z)))))
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
(* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t))
(- (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (/ 1 (* t (* y (- (exp z) 1)))))
(+ (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (- (/ 1 (* t (- (exp z) 1))) (* 1/2 (/ 1 (* t (* y (pow (- (exp z) 1) 2)))))) y)))
(+ (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 (* t (pow (- (exp z) 1) 2)))) (* 1/3 (/ 1 (* t (* y (pow (- (exp z) 1) 3)))))) y)) (/ 1 (* t (- (exp z) 1)))) y)))
(+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y))))
(+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp z) 1)))))
(+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp z) 1) 2)))) (/ 1 (- (exp z) 1))) y))))
(+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp z) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp z) 1) 2)))) y)) (/ 1 (- (exp z) 1))) y))))
(* (pow y 2) (+ (* -1 (/ (* z (- (* -1/2 (/ z t)) (/ 1 t))) y)) (* -1/2 (/ (pow z 2) t))))
(+ 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))))
(* 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)))
(+ (* 1/2 (/ (* z (- y (pow y 2))) t)) (/ y 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))))))
(* -1 (/ (* y 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 (+ 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)))))))
z
(* z (+ 1 (* 1/2 z)))
(* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))
(* z (+ 1 (* z (+ 1/2 (* z (+ 1/6 (* 1/24 z)))))))
(* z (+ (* 1/2 (/ (* z (- y (pow y 2))) t)) (/ y t)))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (- (exp z) 1) t)
(* 1/2 (/ (* z (- y (pow y 2))) t))
(* z (+ (* 1/2 (/ (- y (pow y 2)) t)) (/ y (* t z))))
(log (- (+ 1 (* y (exp z))) y))
(- (+ 1 (* y (exp z))) y)
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))
(log (+ 1 (* y (- (exp z) 1))))
(- (exp z) 1)
(* 1/2 (/ (* (pow z 2) (- y (pow y 2))) t))
(* (pow z 2) (+ (* 1/2 (/ (- y (pow y 2)) t)) (/ y (* t z))))
(* -1 (* z (+ (* -1 (/ y (* t z))) (* -1/2 (/ (- y (pow y 2)) t)))))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (+ y (* 1/2 (* z (- y (pow y 2))))) t)
(* 1/2 (/ (- y (pow y 2)) t))
(/ (* z (+ y (* 1/2 (* z (- y (pow y 2)))))) t)
(/ (- y (pow y 2)) t)
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(* -1 (/ (+ (* -1 y) (* -1/2 (* z (- y (pow y 2))))) t))
(* -1 (/ (* z (+ (* -1 y) (* -1/2 (* z (- y (pow y 2)))))) t))
Calls

12 calls:

TimeVariablePointExpression
82.0ms
z
@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) (* (/ y t) z) (/ y t) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (* (/ (- y (* y y)) t) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) 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) 1) y))) (neg t)) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- (exp z) 1) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (/ (- y (* y y)) t))
42.0ms
z
@-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) (* (/ y t) z) (/ y t) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (* (/ (- y (* y y)) t) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) 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) 1) y))) (neg t)) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- (exp z) 1) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (/ (- y (* y y)) t))
42.0ms
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) (* (/ y t) z) (/ y t) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (* (/ (- y (* y y)) t) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) 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) 1) y))) (neg t)) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- (exp z) 1) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (/ (- y (* y y)) t))
36.0ms
t
@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) (* (/ y t) z) (/ y t) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (* (/ (- y (* y y)) t) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) 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) 1) y))) (neg t)) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- (exp z) 1) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (/ (- y (* y y)) t))
27.0ms
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) (* (/ y t) z) (/ y t) (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (* (/ (- y (* y y)) t) 1/2) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) 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) 1) y))) (neg t)) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- (exp z) 1) (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (/ (- y (* y y)) t))

simplify162.0ms (0.9%)

Memory
7.2MiB live, 193.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05732843
118802702
257072595
083892188
Stop Event
iter limit
node limit
Counts
133 → 131
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)))
(+ 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 z) t)
(/ y t)
(* y (+ (* 1/2 (/ z t)) (/ 1 t)))
(* y (+ (* -1/2 (/ (* y z) t)) (+ (* 1/2 (/ z t)) (/ 1 t))))
(* 1/2 (/ y t))
(* y (+ (* -1/2 (/ y t)) (* 1/2 (/ 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)))
(* -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))))))))
(* y (* z (+ (* 1/2 (/ z t)) (/ 1 t))))
(* y (+ (* -1/2 (/ (* y (pow z 2)) t)) (* z (+ (* 1/2 (/ z t)) (/ 1 t)))))
(* y (+ (* -1 (/ y t)) (/ 1 t)))
(- 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))))))
(* -1/2 (/ (* (pow y 2) z) t))
(* (pow y 2) (+ (* -1/2 (/ z t)) (+ (* 1/2 (/ z (* t y))) (/ 1 (* t y)))))
(* -1/2 (/ (pow y 2) t))
(* (pow y 2) (- (* 1/2 (/ 1 (* t y))) (* 1/2 (/ 1 t))))
(+ (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 (/ (+ (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 z 2)) t))
(* (pow y 2) (+ (* -1/2 (/ (pow z 2) t)) (/ (* z (+ (* 1/2 (/ z t)) (/ 1 t))) y)))
(* -1 (/ (pow y 2) t))
(* (pow y 2) (- (/ 1 (* t y)) (/ 1 t)))
(- 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)))
(* (pow y 2) (+ (* -1 (/ (- (* -1/2 (/ z t)) (/ 1 t)) y)) (* -1/2 (/ 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 (* -1 (exp z)))))
(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
(* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t))
(- (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (/ 1 (* t (* y (- (exp z) 1)))))
(+ (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (- (/ 1 (* t (- (exp z) 1))) (* 1/2 (/ 1 (* t (* y (pow (- (exp z) 1) 2)))))) y)))
(+ (* -1 (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)) (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 (* t (pow (- (exp z) 1) 2)))) (* 1/3 (/ 1 (* t (* y (pow (- (exp z) 1) 3)))))) y)) (/ 1 (* t (- (exp z) 1)))) y)))
(+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y))))
(+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp z) 1)))))
(+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp z) 1) 2)))) (/ 1 (- (exp z) 1))) y))))
(+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp z) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp z) 1) 2)))) y)) (/ 1 (- (exp z) 1))) y))))
(* (pow y 2) (+ (* -1 (/ (* z (- (* -1/2 (/ z t)) (/ 1 t))) y)) (* -1/2 (/ (pow z 2) t))))
(+ 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))))
(* 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)))
(+ (* 1/2 (/ (* z (- y (pow y 2))) t)) (/ y 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))))))
(* -1 (/ (* y 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 (+ 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)))))))
z
(* z (+ 1 (* 1/2 z)))
(* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))
(* z (+ 1 (* z (+ 1/2 (* z (+ 1/6 (* 1/24 z)))))))
(* z (+ (* 1/2 (/ (* z (- y (pow y 2))) t)) (/ y t)))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (- (exp z) 1) t)
(* 1/2 (/ (* z (- y (pow y 2))) t))
(* z (+ (* 1/2 (/ (- y (pow y 2)) t)) (/ y (* t z))))
(log (- (+ 1 (* y (exp z))) y))
(- (+ 1 (* y (exp z))) y)
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))
(log (+ 1 (* y (- (exp z) 1))))
(- (exp z) 1)
(* 1/2 (/ (* (pow z 2) (- y (pow y 2))) t))
(* (pow z 2) (+ (* 1/2 (/ (- y (pow y 2)) t)) (/ y (* t z))))
(* -1 (* z (+ (* -1 (/ y (* t z))) (* -1/2 (/ (- y (pow y 2)) t)))))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (+ y (* 1/2 (* z (- y (pow y 2))))) t)
(* 1/2 (/ (- y (pow y 2)) t))
(/ (* z (+ y (* 1/2 (* z (- y (pow y 2)))))) t)
(/ (- y (pow y 2)) t)
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(* -1 (/ (+ (* -1 y) (* -1/2 (* z (- y (pow y 2))))) t))
(* -1 (/ (* z (+ (* -1 y) (* -1/2 (* z (- y (pow y 2)))))) t))
Outputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x)
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x)
(+ x (* y (- (/ 1 t) (/ (exp z) t))))
(fma.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t) x)
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) (/.f64 (expm1.f64 z) (neg.f64 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 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) t) #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) t) #s(literal -1/3 binary64))) y) (/.f64 (expm1.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)))
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(* z (+ y (* 1/2 (* y z))))
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z
(* z (+ 1 (* 1/2 z)))
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rewrite216.0ms (1.2%)

Memory
11.9MiB live, 306.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040298
065298
1277298
22242298
08299287
Stop Event
iter limit
node limit
iter limit
Counts
23 → 590
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 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))
(*.f64 (/.f64 y t) z)
(/.f64 y t)
(fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t))
(*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)
(expm1.f64 z)
(*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)
(/.f64 (-.f64 y (*.f64 y y)) t)
Outputs
(*.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))) (pow.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) #s(literal -1 binary64)))
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(pow.f64 (/.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)) x) (-.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)))) #s(literal -1 binary64))
(pow.f64 (/.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 (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)))) #s(literal -1 binary64))
(/.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))))
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(/.f64 (-.f64 (*.f64 (neg.f64 y) (neg.f64 t)) (*.f64 (neg.f64 t) (*.f64 (neg.f64 y) y))) (*.f64 t t))
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(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 t (*.f64 y y))) (*.f64 (/.f64 t y) #s(literal 1 binary64))) (*.f64 (/.f64 t y) (/.f64 t (*.f64 y y))))
(/.f64 (-.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 t))
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(/.f64 (-.f64 (neg.f64 (neg.f64 y)) (*.f64 y y)) t)
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(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64)) t)
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(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) t) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 y y (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) t))
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(-.f64 (/.f64 y t) (*.f64 y (/.f64 y t)))
(exp.f64 (*.f64 (log.f64 (/.f64 t (*.f64 (-.f64 #s(literal 1 binary64) y) y))) #s(literal -1 binary64)))
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eval187.0ms (1%)

Memory
8.8MiB live, 160.6MiB allocated
Compiler

Compiled 30 062 to 3 760 computations (87.5% saved)

prune71.0ms (0.4%)

Memory
-26.0MiB live, 59.7MiB allocated
Pruning

24 alts after pruning (21 fresh and 3 done)

PrunedKeptTotal
New75414768
Fresh3710
Picked235
Done000
Total75924783
Accuracy
99.7%
Counts
783 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.9%
(fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) t) x)
24.9%
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (fma.f64 x x (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 2 binary64)))))
65.4%
(-.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))
64.1%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t))
71.9%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
32.1%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
73.5%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
62.3%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) z)) t))
87.1%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
75.4%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
71.9%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))))))
76.2%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y))))
75.4%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y)))))
55.6%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (*.f64 #s(literal 1/2 binary64) z)) t (*.f64 t y)) (*.f64 t t)) z)))
70.9%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) t) y)))
75.5%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
75.5%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z)))
77.6%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
61.2%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z)))
58.5%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal -1/2 binary64)))))
89.5%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x))
27.5%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
15.0%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.f64 z) t) y)))
20.7%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))))
Compiler

Compiled 1 163 to 854 computations (26.6% saved)

simplify226.0ms (1.2%)

Memory
6.9MiB live, 119.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))
cost-diff0
(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))))
cost-diff0
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))
cost-diff0
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (*.f64 #s(literal 1/2 binary64) z)) t (*.f64 t y)) (*.f64 t t)) z)))
cost-diff128
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (*.f64 #s(literal 1/2 binary64) z))
cost-diff320
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (*.f64 #s(literal 1/2 binary64) z)) t (*.f64 t y))
cost-diff640
(/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (*.f64 #s(literal 1/2 binary64) z)) t (*.f64 t y)) (*.f64 t t))
cost-diff0
(/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) t)
cost-diff0
(*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) t) y)
cost-diff0
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) t) y))
cost-diff0
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) t) y)))
cost-diff0
(/.f64 (neg.f64 z) t)
cost-diff0
(*.f64 (/.f64 (neg.f64 z) t) y)
cost-diff0
#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.f64 z) t) y))
cost-diff0
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.f64 z) t) y)))
cost-diff0
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x))
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x))
cost-diff640
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056469
091469
1159464
2338426
3800402
42087402
55040402
08223386
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 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x))
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x)
(neg.f64 x)
x
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)
(expm1.f64 z)
z
y
(*.f64 t x)
t
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.f64 z) t) y)))
#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.f64 z) t) y))
(*.f64 (/.f64 (neg.f64 z) t) y)
(/.f64 (neg.f64 z) t)
(neg.f64 z)
z
t
y
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) t) y)))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) t) y))
(*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) t) y)
(/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) t)
#s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) 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)
t
y
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (*.f64 #s(literal 1/2 binary64) z)) t (*.f64 t y)) (*.f64 t t)) z)))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (*.f64 #s(literal 1/2 binary64) z)) t (*.f64 t y)) (*.f64 t t)) z))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (*.f64 #s(literal 1/2 binary64) z)) t (*.f64 t y)) (*.f64 t t)) z)
(/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (*.f64 #s(literal 1/2 binary64) z)) t (*.f64 t y)) (*.f64 t t))
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (*.f64 #s(literal 1/2 binary64) z)) t (*.f64 t y))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (*.f64 #s(literal 1/2 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 #s(literal 1/2 binary64) z)
#s(literal 1/2 binary64)
z
t
(*.f64 t y)
(*.f64 t t)
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))))))
x
(/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))
#s(literal 1 binary64)
(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))))
t
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))
(fma.f64 z y #s(literal 1 binary64))
z
y
Outputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(neg.f64 x)
x
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)
(expm1.f64 z)
z
y
(*.f64 t x)
t
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.f64 z) t) y)))
#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.f64 z) t) y))
(*.f64 (/.f64 (neg.f64 z) t) y)
(/.f64 (neg.f64 z) t)
(neg.f64 z)
z
t
y
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) t) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)))))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) t) y))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z))))
(*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) t) y)
(*.f64 (/.f64 y t) #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)))
(/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) t)
#s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) 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)
t
y
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (*.f64 #s(literal 1/2 binary64) z)) t (*.f64 t y)) (*.f64 t t)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) (*.f64 z y))))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (*.f64 #s(literal 1/2 binary64) z)) t (*.f64 t y)) (*.f64 t t)) z))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) (*.f64 z y)))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (*.f64 #s(literal 1/2 binary64) z)) t (*.f64 t y)) (*.f64 t t)) z)
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) (*.f64 z y))
(/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (*.f64 #s(literal 1/2 binary64) z)) t (*.f64 t y)) (*.f64 t t))
(*.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z #s(literal 1 binary64)) t) y)
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (*.f64 #s(literal 1/2 binary64) z)) t (*.f64 t y))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) z #s(literal 1 binary64)) (*.f64 t y))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (*.f64 #s(literal 1/2 binary64) z))
(*.f64 (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64)) (*.f64 z y))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 #s(literal 1/2 binary64) z)
#s(literal 1/2 binary64)
z
t
(*.f64 t y)
(*.f64 t t)
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
x
(/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t)
#s(literal 1 binary64)
(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))))
t
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))
(fma.f64 z y #s(literal 1 binary64))
z
y

localize417.0ms (2.3%)

Memory
16.2MiB live, 256.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.5572011656562662
(/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))))
accuracy4.2431219119453045
(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))))
accuracy13.63409234134316
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))
accuracy34.70475170318926
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64))))
accuracy3.562780863755672
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (*.f64 #s(literal 1/2 binary64) z))
accuracy4.840403939126718
(fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (*.f64 #s(literal 1/2 binary64) z)) t (*.f64 t y))
accuracy19.602915706111045
(/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (*.f64 #s(literal 1/2 binary64) z)) t (*.f64 t y)) (*.f64 t t))
accuracy22.97933746595869
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (*.f64 #s(literal 1/2 binary64) z)) t (*.f64 t y)) (*.f64 t t)) z))
accuracy0.01171875
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)
accuracy3.60142064664858
(*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) t) y)
accuracy10.681947853789666
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) t) y))
accuracy18.57513475790363
#s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z))
accuracy0.0
(neg.f64 z)
accuracy4.73271151658327
(*.f64 (/.f64 (neg.f64 z) t) y)
accuracy22.249104840937818
#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.f64 z) t) y))
accuracy45.105478622086686
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.f64 z) t) y)))
accuracy0.01171875
(*.f64 (expm1.f64 z) y)
accuracy0.24599682691973934
(log1p.f64 (*.f64 (expm1.f64 z) y))
accuracy2.8379570970754115
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x)
accuracy7.4836194895256964
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x))
Samples
339.0ms227×1valid
8.0ms2valid
8.0ms25×0valid
1.0ms5exit
Compiler

Compiled 838 to 103 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 233.0ms
ival-div: 70.0ms (30% of total)
ival-log: 48.0ms (20.6% of total)
ival-mult: 34.0ms (14.6% of total)
ival-exp: 20.0ms (8.6% of total)
ival-log1p: 18.0ms (7.7% of total)
adjust: 16.0ms (6.9% of total)
ival-add: 9.0ms (3.9% of total)
ival-sub: 8.0ms (3.4% of total)
ival-expm1: 6.0ms (2.6% of total)
ival-neg: 3.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series238.0ms (1.3%)

Memory
-12.0MiB live, 376.9MiB allocated
Counts
27 → 187
Calls
Call 1
Inputs
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x)
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(* -1 (/ z t))
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(/ (log (- (+ 1 (* y (exp z))) y)) t)
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(* z (+ (* 1/2 (/ (* y (- 1 y)) t)) (/ y (* t z))))
(* 1/2 (* t (* y (* z (- 1 y)))))
(* z (+ (* 1/2 (* t (* y (- 1 y)))) (/ (* t y) z)))
(/ t (log (- (+ 1 (* y (exp z))) y)))
(log (- (+ 1 (* y (exp z))) y))
(log (+ 1 (* y (- (exp z) 1))))
(- (exp z) 1)
(* 1/2 (pow z 2))
(* (pow z 2) (+ 1/2 (/ 1 z)))
(- (+ 1 (* y (exp z))) y)
(* -1 (* z (+ (* -1 (/ y (* t z))) (* -1/2 (/ (* y (- 1 y)) t)))))
(* -1 (* z (+ (* -1 (/ (* t y) z)) (* -1/2 (* t (* y (- 1 y)))))))
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (+ y (* 1/2 (* y (* z (- 1 y))))) t)
(* t (+ y (* 1/2 (* y (* z (- 1 y))))))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(* -1 (/ (+ (* -1 y) (* -1/2 (* y (* z (- 1 y))))) t))
(* -1 (* t (+ (* -1 y) (* -1/2 (* y (* z (- 1 y)))))))
Calls

12 calls:

TimeVariablePointExpression
51.0ms
t
@inf
((+ (* (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x))) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (/ (neg z) t) y) (/ (neg z) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (/ (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (* t t)) (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (* (* (- 1 y) y) (* 1/2 z)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (log (+ (- 1 y) (* y (exp z)))) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (neg z) (- (exp z) 1) (* (+ (* 1/2 z) 1) z) (/ (log (+ (- 1 y) (* y (exp z)))) t) (+ (- 1 y) (* y (exp z))))
32.0ms
z
@inf
((+ (* (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x))) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (/ (neg z) t) y) (/ (neg z) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (/ (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (* t t)) (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (* (* (- 1 y) y) (* 1/2 z)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (log (+ (- 1 y) (* y (exp z)))) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (neg z) (- (exp z) 1) (* (+ (* 1/2 z) 1) z) (/ (log (+ (- 1 y) (* y (exp z)))) t) (+ (- 1 y) (* y (exp z))))
28.0ms
x
@0
((+ (* (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x))) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (/ (neg z) t) y) (/ (neg z) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (/ (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (* t t)) (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (* (* (- 1 y) y) (* 1/2 z)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (log (+ (- 1 y) (* y (exp z)))) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (neg z) (- (exp z) 1) (* (+ (* 1/2 z) 1) z) (/ (log (+ (- 1 y) (* y (exp z)))) t) (+ (- 1 y) (* y (exp z))))
28.0ms
t
@-inf
((+ (* (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x))) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (/ (neg z) t) y) (/ (neg z) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (/ (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (* t t)) (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (* (* (- 1 y) y) (* 1/2 z)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (log (+ (- 1 y) (* y (exp z)))) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (neg z) (- (exp z) 1) (* (+ (* 1/2 z) 1) z) (/ (log (+ (- 1 y) (* y (exp z)))) t) (+ (- 1 y) (* y (exp z))))
21.0ms
t
@0
((+ (* (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x))) x) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (/ (neg z) t) y) (/ (neg z) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (/ (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (* t t)) (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (* (* (- 1 y) y) (* 1/2 z)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (log (+ (- 1 y) (* y (exp z)))) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (neg z) (- (exp z) 1) (* (+ (* 1/2 z) 1) z) (/ (log (+ (- 1 y) (* y (exp z)))) t) (+ (- 1 y) (* y (exp z))))

simplify434.0ms (2.4%)

Memory
-38.5MiB live, 256.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08875063
128764713
086304047
Stop Event
iter limit
node limit
Counts
187 → 185
Calls
Call 1
Inputs
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(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
x
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)))))
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1
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rewrite184.0ms (1%)

Memory
-26.9MiB live, 257.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056395
091395
1337387
22491387
08388372
Stop Event
iter limit
node limit
iter limit
Counts
27 → 571
Calls
Call 1
Inputs
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#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x))
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(log1p.f64 (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)
(neg.f64 z)
#s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (*.f64 #s(literal 1/2 binary64) z)) t (*.f64 t y)) (*.f64 t t)) z))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x) (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x))) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x))) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x) (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x))) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 2 binary64)) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x) (neg.f64 x))) (*.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x) (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x) (neg.f64 x)) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x) (neg.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 2 binary64))) (-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x) (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 2 binary64)) (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (*.f64 (neg.f64 x) x))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x))) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x) (neg.f64 x)))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 2 binary64)) (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (*.f64 (neg.f64 x) x)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x))) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 2 binary64)) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x))) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x))) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (*.f64 t x)) x)
(fma.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) x) (/.f64 (neg.f64 x) (neg.f64 t)) x)
(fma.f64 (/.f64 (neg.f64 x) (neg.f64 x)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) x)
(fma.f64 (/.f64 (neg.f64 x) (*.f64 t x)) (/.f64 #s(literal 1 binary64) (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal -1 binary64))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 t x)) (/.f64 x (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal -1 binary64))) x)
(fma.f64 (/.f64 x (*.f64 t x)) (/.f64 #s(literal -1 binary64) (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal -1 binary64))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 x (log1p.f64 (*.f64 y (expm1.f64 z)))) t) x)
(fma.f64 (/.f64 (neg.f64 x) (neg.f64 t)) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) x) x)
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (*.f64 t x)) x)
(fma.f64 (/.f64 x t) (/.f64 #s(literal -1 binary64) (/.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))) x)
(fma.f64 (/.f64 x x) (/.f64 #s(literal -1 binary64) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) x)
(fma.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) #s(literal -1 binary64)) x x)
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) x)
(fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x) (/.f64 (neg.f64 x) t) x)
(fma.f64 (/.f64 (neg.f64 x) t) (/.f64 #s(literal 1 binary64) (/.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))) x)
(fma.f64 (/.f64 (neg.f64 x) t) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x) x)
(fma.f64 (/.f64 (neg.f64 x) x) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)
(fma.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 x)) (pow.f64 (*.f64 t x) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (/.f64 (neg.f64 x) x) x)
(fma.f64 (pow.f64 (*.f64 t x) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal -1 binary64))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (*.f64 x (log1p.f64 (*.f64 y (expm1.f64 z)))) x) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 x (/.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))) x)
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 (neg.f64 x) (/.f64 x (log1p.f64 (*.f64 y (expm1.f64 z))))) x)
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) x)
(fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) (/.f64 (neg.f64 x) (neg.f64 x)) x)
(fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x) x)
(fma.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 (pow.f64 (*.f64 t x) #s(literal -1 binary64)) (neg.f64 x)) x)
(fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x)
(fma.f64 x (neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x))) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x)))) (/.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 2 binary64)) (-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x) #s(literal 2 binary64)) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x) (neg.f64 x))))
(-.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) x))
(+.f64 (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x)) x)
(+.f64 x (*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)) (neg.f64 x) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 0 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(neg.f64 x)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) t) x) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal -1 binary64)) (pow.f64 (*.f64 t x) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) x) (/.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) t) #s(literal -1 binary64)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x))
(*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) t) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x) (/.f64 (/.f64 #s(literal -1 binary64) t) #s(literal -1 binary64)))
(*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x) (pow.f64 t #s(literal -1 binary64)))
(*.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 t x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 t x) #s(literal -1 binary64)) (log1p.f64 (*.f64 y (expm1.f64 z))))
(*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 x)))
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (/.f64 x (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x))
(*.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 (*.f64 (neg.f64 t) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) x))
(*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (*.f64 t x)))
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 (*.f64 t x) #s(literal -1 binary64)))
(pow.f64 (/.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 t x) (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 t x) (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x)) (neg.f64 t))
(/.f64 (neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal 1 binary64))) (*.f64 (neg.f64 t) x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))))) (neg.f64 (neg.f64 (*.f64 (neg.f64 t) x))))
(/.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal 1 binary64)) (*.f64 t x))
(/.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x) t)
(/.f64 (neg.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (neg.f64 (*.f64 (neg.f64 t) x)))
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(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 (*.f64 z #s(literal 2 binary64))))) (neg.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 y (expm1.f64 (*.f64 z #s(literal 3 binary64))))) (neg.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64)))))
(/.f64 (*.f64 (expm1.f64 (*.f64 z #s(literal 2 binary64))) y) (+.f64 (exp.f64 z) #s(literal 1 binary64)))
(/.f64 (*.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) y) (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))))
(/.f64 (*.f64 y (expm1.f64 (*.f64 z #s(literal 2 binary64)))) (+.f64 (exp.f64 z) #s(literal 1 binary64)))
(/.f64 (*.f64 y (expm1.f64 (*.f64 z #s(literal 3 binary64)))) (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))))
(fma.f64 (exp.f64 z) y (*.f64 y #s(literal -1 binary64)))
(fma.f64 (exp.f64 z) y (neg.f64 y))
(fma.f64 y (exp.f64 z) (*.f64 y #s(literal -1 binary64)))
(fma.f64 y (exp.f64 z) (neg.f64 y))
(+.f64 (*.f64 (exp.f64 z) y) (*.f64 y #s(literal -1 binary64)))
(+.f64 (*.f64 (exp.f64 z) y) (neg.f64 y))
(*.f64 #s(literal -1 binary64) z)
(*.f64 z #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z))) (neg.f64 z))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) z)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))
(neg.f64 z)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))))
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z z) z))
(-.f64 #s(literal 0 binary64) z)
(+.f64 #s(literal 0 binary64) (neg.f64 z))
#s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)
(*.f64 z (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) z)) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) z)))))
(/.f64 (neg.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 z (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) z)))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64)) z) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) z) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) z))))
(/.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)))
(/.f64 (*.f64 z (fma.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 z z) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) z))))
(fma.f64 #s(literal -1 binary64) (neg.f64 z) (*.f64 (*.f64 #s(literal 1/2 binary64) z) z))
(fma.f64 (*.f64 #s(literal 1/2 binary64) z) z z)
(fma.f64 #s(literal 1 binary64) z (*.f64 (*.f64 #s(literal 1/2 binary64) z) z))
(fma.f64 z (*.f64 #s(literal 1/2 binary64) z) (*.f64 z #s(literal 1 binary64)))
(fma.f64 z #s(literal 1 binary64) (*.f64 z (*.f64 #s(literal 1/2 binary64) z)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) z) z) z)
(+.f64 (*.f64 z (*.f64 #s(literal 1/2 binary64) z)) (*.f64 z #s(literal 1 binary64)))
(+.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 z (*.f64 #s(literal 1/2 binary64) z)))
(+.f64 z (*.f64 (*.f64 #s(literal 1/2 binary64) z) z))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 t (fma.f64 (*.f64 (*.f64 y z) #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) y) y)) (/.f64 z (*.f64 t t))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))

eval160.0ms (0.9%)

Memory
26.0MiB live, 181.8MiB allocated
Compiler

Compiled 32 604 to 3 635 computations (88.9% saved)

prune100.0ms (0.5%)

Memory
-5.8MiB live, 69.8MiB allocated
Pruning

35 alts after pruning (28 fresh and 7 done)

PrunedKeptTotal
New73119750
Fresh7916
Picked145
Done033
Total73935774
Accuracy
99.7%
Counts
774 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.9%
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) x)
65.4%
(-.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))
64.1%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t))
71.9%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
32.1%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
62.3%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) z)) t))
87.1%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
71.9%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))))))
83.5%
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) (/.f64 t y)) z))))
89.8%
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))))
76.2%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y))))
70.6%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y (/.f64 t #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z))))))
70.9%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) t) y)))
59.6%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) #s(approx (* (+ (* 1/2 z) 1) z) (*.f64 (*.f64 z z) #s(literal 1/2 binary64)))) t) y)))
55.3%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (*.f64 (fma.f64 (*.f64 t z) #s(literal 1/2 binary64) t) y)) (*.f64 t t)) z)))
53.8%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)) t)) (*.f64 t t)) z)))
62.8%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (*.f64 t y)) (*.f64 t t)) z)))
75.5%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
75.5%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z)))
77.6%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
61.2%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (* t t)) (*.f64 (*.f64 y (/.f64 (*.f64 y z) t)) #s(literal -1/2 binary64))) z)))
85.4%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (neg.f64 x) t) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x) x))
89.5%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x))
66.2%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y z) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) (*.f64 t x)) x))
71.2%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 z (/.f64 (/.f64 y t) x))) x))
27.5%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
13.6%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (*.f64 (neg.f64 z) y) t)))
14.7%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 y (/.f64 (neg.f64 t) z))))
13.5%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 z) y)))))
15.0%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.f64 z) t) y)))
13.7%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 y t) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))))
14.7%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) z)) y)))
15.0%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (*.f64 z (/.f64 #s(literal -1 binary64) t)) y)))
13.7%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))
20.7%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))))
Compiler

Compiled 1 936 to 1 380 computations (28.7% saved)

simplify191.0ms (1%)

Memory
15.5MiB live, 100.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) (/.f64 t y)) z)))
cost-diff0
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) (/.f64 t y)) z))))
cost-diff832
(fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) (/.f64 t y))
cost-diff1024
(/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y)
cost-diff0
#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 z (/.f64 (/.f64 y t) x)))
cost-diff0
(neg.f64 x)
cost-diff0
(fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 z (/.f64 (/.f64 y t) x))) x)
cost-diff0
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 z (/.f64 (/.f64 y t) x))) x))
cost-diff0
(*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z)
cost-diff0
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))
cost-diff0
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z)))
cost-diff448
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t))
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 (neg.f64 z) (/.f64 y t))
cost-diff0
#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t)))
cost-diff0
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))
cost-diff0
(/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)
cost-diff0
#s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))
cost-diff0
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061525
094522
1165519
2350488
3896464
44719464
57891464
08081424
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))))
x
(/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))
#s(literal 1 binary64)
#s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))
(/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)
(fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z)))
(*.f64 t y)
t
y
#s(literal 1/2 binary64)
(/.f64 t (expm1.f64 z))
(expm1.f64 z)
z
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))
#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t)))
(*.f64 (neg.f64 z) (/.f64 y t))
(neg.f64 z)
z
(/.f64 y t)
y
t
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z)))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))
(*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z)
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t))
(neg.f64 y)
y
(/.f64 #s(literal -1 binary64) t)
#s(literal -1 binary64)
t
z
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 z (/.f64 (/.f64 y t) x))) x))
(fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 z (/.f64 (/.f64 y t) x))) x)
(neg.f64 x)
x
#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 z (/.f64 (/.f64 y t) x)))
(*.f64 z (/.f64 (/.f64 y t) x))
z
(/.f64 (/.f64 y t) x)
(/.f64 y t)
y
t
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) (/.f64 t y)) z))))
x
(/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) (/.f64 t y)) z)))
#s(literal 1 binary64)
#s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) (/.f64 t y)) z))
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) (/.f64 t y)) z)
(fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) (/.f64 t y))
(/.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
(/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y)
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z)
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(-.f64 #s(literal 1 binary64) y)
z
t
(/.f64 t y)
Outputs
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y))))
x
(/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))
(/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)))
#s(literal 1 binary64)
#s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))
#s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y))
(/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)
(fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z)))
(*.f64 t y)
(*.f64 y t)
t
y
#s(literal 1/2 binary64)
(/.f64 t (expm1.f64 z))
(expm1.f64 z)
z
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.f64 z) t) y)))
#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t)))
#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.f64 z) t) y))
(*.f64 (neg.f64 z) (/.f64 y t))
(*.f64 (/.f64 (neg.f64 z) t) y)
(neg.f64 z)
z
(/.f64 y t)
y
t
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z))
(*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z)
(*.f64 (/.f64 y t) z)
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t))
(/.f64 y t)
(neg.f64 y)
y
(/.f64 #s(literal -1 binary64) t)
#s(literal -1 binary64)
t
z
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 z (/.f64 (/.f64 y t) x))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 (/.f64 (/.f64 y t) x) z)) (neg.f64 x) x))
(fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 z (/.f64 (/.f64 y t) x))) x)
(fma.f64 #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 (/.f64 (/.f64 y t) x) z)) (neg.f64 x) x)
(neg.f64 x)
x
#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 z (/.f64 (/.f64 y t) x)))
#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 (/.f64 (/.f64 y t) x) z))
(*.f64 z (/.f64 (/.f64 y t) x))
(*.f64 (/.f64 (/.f64 y t) x) z)
z
(/.f64 (/.f64 y t) x)
(/.f64 y t)
y
t
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64)) z #s(literal 1 binary64)) (/.f64 (/.f64 t y) z)))))
x
(/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) (/.f64 t y)) z)))
(/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64)) z #s(literal 1 binary64)) (/.f64 (/.f64 t y) z))))
#s(literal 1 binary64)
#s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) (/.f64 t y)) z))
#s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64)) z #s(literal 1 binary64)) (/.f64 (/.f64 t y) z)))
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) (/.f64 t y)) z)
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64)) z #s(literal 1 binary64)) (/.f64 (/.f64 t y) z))
(fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) (/.f64 t y))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal -1/2 binary64)) z #s(literal 1 binary64)) (/.f64 t y))
(/.f64 #s(literal -1/2 binary64) y)
#s(literal -1/2 binary64)
y
(/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) z) t)
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z)
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(-.f64 #s(literal 1 binary64) y)
z
t
(/.f64 t y)

localize393.0ms (2.1%)

Memory
-15.9MiB live, 455.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy6.7764555160209
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) (/.f64 t y)) z)
accuracy6.790861734009518
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t)
accuracy11.105345167013754
(/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y)
accuracy17.212959416797112
#s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) (/.f64 t y)) z))
accuracy2.8379570970754115
(fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 z (/.f64 (/.f64 y t) x))) x)
accuracy5.408467946170764
(*.f64 z (/.f64 (/.f64 y t) x))
accuracy5.691442687784071
(/.f64 (/.f64 y t) x)
accuracy18.321346016571827
#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 z (/.f64 (/.f64 y t) x)))
accuracy0.0
(neg.f64 y)
accuracy0.25390625
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t))
accuracy4.852982669983794
(*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z)
accuracy22.476395040560597
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))
accuracy0.0
(neg.f64 z)
accuracy4.852982669983794
(*.f64 (neg.f64 z) (/.f64 y t))
accuracy22.476395040560597
#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t)))
accuracy45.105478622086686
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))
accuracy0.5611074156562662
(/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))
accuracy0.6054687500000001
(fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z)))
accuracy5.954764470112922
(/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)
accuracy9.605252337885455
#s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))
Samples
318.0ms227×1valid
9.0ms26×0valid
7.0ms2valid
Compiler

Compiled 899 to 115 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 247.0ms
ival-div: 69.0ms (27.9% of total)
ival-log: 58.0ms (23.5% of total)
ival-mult: 42.0ms (17% of total)
ival-expm1: 20.0ms (8.1% of total)
ival-exp: 19.0ms (7.7% of total)
adjust: 15.0ms (6.1% of total)
ival-add: 9.0ms (3.6% of total)
ival-sub: 7.0ms (2.8% of total)
ival-log1p: 4.0ms (1.6% of total)
ival-neg: 4.0ms (1.6% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series289.0ms (1.6%)

Memory
-2.0MiB live, 393.7MiB allocated
Counts
27 → 161
Calls
Call 1
Inputs
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))
#s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))
(/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))
#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t)))
(*.f64 (neg.f64 z) (/.f64 y t))
(neg.f64 z)
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z)))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))
(*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 z (/.f64 (/.f64 y t) x))) x))
(fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 z (/.f64 (/.f64 y t) x))) x)
(neg.f64 x)
#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 z (/.f64 (/.f64 y t) x)))
(/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y)
(fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) (/.f64 t y))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) (/.f64 t y)) z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) (/.f64 t y)) z)))
(fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z)))
(neg.f64 y)
(/.f64 (/.f64 y t) x)
(*.f64 z (/.f64 (/.f64 y t) x))
#s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) (/.f64 t y)) z))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t)
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) (/.f64 t y)) z)
Outputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(* -1 x)
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ y (* t x))
(/ (* y z) (* t x))
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)))))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* 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)))
(/ t (* y (- (exp z) 1)))
(/ (+ (* 1/2 (* t y)) (/ t (- (exp z) 1))) y)
(/ (+ (* y (- (* -1 (* y (+ (* -1/4 (* t (- (exp z) 1))) (* 1/3 (* t (- (exp z) 1)))))) (* -1/2 t))) (/ t (- (exp z) 1))) y)
(/ (+ (* y (- (* y (- (* -1 (* y (+ (* -1/4 (* t (pow (- (exp z) 1) 2))) (+ (* 1/6 (* t (pow (- (exp z) 1) 2))) (* 1/2 (* (+ (* -1/4 (* t (- (exp z) 1))) (* 1/3 (* t (- (exp z) 1)))) (- (exp z) 1))))))) (+ (* -1/4 (* t (- (exp z) 1))) (* 1/3 (* t (- (exp z) 1)))))) (* -1/2 t))) (/ t (- (exp z) 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 (/ (* y z) t))
(/ y t)
(/ (* y z) t)
(+ x (* -1 (/ (* y (- (exp z) 1)) t)))
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)))))
(+ x (* 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 (- (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))))
(* t z)
(+ (* -1 (* t (* y z))) (* t z))
(/ (+ t (* -1/2 (* t z))) y)
(/ (+ t (+ (* -1/2 (* t z)) (* 1/2 (* t (* y z))))) y)
(/ t (- (exp z) 1))
(+ (* 1/2 (* t y)) (/ t (- (exp z) 1)))
(* -1 y)
(* t (* y z))
(* y (+ (* -1 (* t (* y z))) (* t z)))
(/ (+ t (* -1/2 (* t z))) (* y z))
(/ (+ (* -1/2 t) (+ (* 1/2 (* t y)) (/ t z))) y)
(- 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))))))
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Calls

12 calls:

TimeVariablePointExpression
55.0ms
y
@0
((- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (neg z) (/ y t)) (neg z) (* (neg y) (/ -1 t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (* (neg y) (/ -1 t)) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x))) x) (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (/ (* (* (* (- 1 y) y) z) t) y) (+ (* (/ -1/2 y) (/ (* (* (* (- 1 y) y) z) t) y)) (/ t y)) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (neg y) (/ (/ y t) x) (* z (/ (/ y t) x)) (/ t (log (+ (- 1 y) (* y (exp z))))) (* (* (* (- 1 y) y) z) t) (/ (+ (* (/ -1/2 y) (/ (* (* (* (- 1 y) y) z) t) y)) (/ t y)) z))
41.0ms
z
@inf
((- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (neg z) (/ y t)) (neg z) (* (neg y) (/ -1 t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (* (neg y) (/ -1 t)) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x))) x) (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (/ (* (* (* (- 1 y) y) z) t) y) (+ (* (/ -1/2 y) (/ (* (* (* (- 1 y) y) z) t) y)) (/ t y)) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (neg y) (/ (/ y t) x) (* z (/ (/ y t) x)) (/ t (log (+ (- 1 y) (* y (exp z))))) (* (* (* (- 1 y) y) z) t) (/ (+ (* (/ -1/2 y) (/ (* (* (* (- 1 y) y) z) t) y)) (/ t y)) z))
38.0ms
t
@0
((- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (neg z) (/ y t)) (neg z) (* (neg y) (/ -1 t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (* (neg y) (/ -1 t)) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x))) x) (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (/ (* (* (* (- 1 y) y) z) t) y) (+ (* (/ -1/2 y) (/ (* (* (* (- 1 y) y) z) t) y)) (/ t y)) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (neg y) (/ (/ y t) x) (* z (/ (/ y t) x)) (/ t (log (+ (- 1 y) (* y (exp z))))) (* (* (* (- 1 y) y) z) t) (/ (+ (* (/ -1/2 y) (/ (* (* (* (- 1 y) y) z) t) y)) (/ t y)) z))
35.0ms
x
@-inf
((- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (neg z) (/ y t)) (neg z) (* (neg y) (/ -1 t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (* (neg y) (/ -1 t)) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x))) x) (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (/ (* (* (* (- 1 y) y) z) t) y) (+ (* (/ -1/2 y) (/ (* (* (* (- 1 y) y) z) t) y)) (/ t y)) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (neg y) (/ (/ y t) x) (* z (/ (/ y t) x)) (/ t (log (+ (- 1 y) (* y (exp z))))) (* (* (* (- 1 y) y) z) t) (/ (+ (* (/ -1/2 y) (/ (* (* (* (- 1 y) y) z) t) y)) (/ t y)) z))
28.0ms
t
@-inf
((- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (/ t (log (+ (- 1 y) (* y (exp z))))) (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (* (neg z) (/ y t)) (neg z) (* (neg y) (/ -1 t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (* (neg y) (/ -1 t)) z) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (+ (* (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x))) x) (neg x) (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (/ (* (* (* (- 1 y) y) z) t) y) (+ (* (/ -1/2 y) (/ (* (* (* (- 1 y) y) z) t) y)) (/ t y)) (- x (/ 1 (/ t (log (+ (- 1 y) (* y (exp z))))))) (/ 1 (/ t (log (+ (- 1 y) (* y (exp z)))))) (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (neg y) (/ (/ y t) x) (* z (/ (/ y t) x)) (/ t (log (+ (- 1 y) (* y (exp z))))) (* (* (* (- 1 y) y) z) t) (/ (+ (* (/ -1/2 y) (/ (* (* (* (- 1 y) y) z) t) y)) (/ t y)) z))

simplify171.0ms (0.9%)

Memory
3.3MiB live, 280.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07674476
124014158
082393600
Stop Event
iter limit
node limit
Counts
161 → 160
Calls
Call 1
Inputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(* -1 x)
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/ y (* t x))
(/ (* y z) (* t x))
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
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(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
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(* 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)))
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(/ (+ (* y (- (* -1 (* y (+ (* -1/4 (* t (- (exp z) 1))) (* 1/3 (* t (- (exp z) 1)))))) (* -1/2 t))) (/ t (- (exp z) 1))) y)
(/ (+ (* y (- (* y (- (* -1 (* y (+ (* -1/4 (* t (pow (- (exp z) 1) 2))) (+ (* 1/6 (* t (pow (- (exp z) 1) 2))) (* 1/2 (* (+ (* -1/4 (* t (- (exp z) 1))) (* 1/3 (* t (- (exp z) 1)))) (- (exp z) 1))))))) (+ (* -1/4 (* t (- (exp z) 1))) (* 1/3 (* t (- (exp z) 1)))))) (* -1/2 t))) (/ t (- (exp z) 1))) y)
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(* -1 (/ (* y z) t))
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Outputs
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(* -1 x)
(neg.f64 x)
(/ (log (+ 1 (* y (- (exp z) 1)))) (* t x))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x))
(/ y (* t x))
(/.f64 y (*.f64 t x))
(/ (* y z) (* t x))
(*.f64 (/.f64 y (*.f64 t x)) z)
x
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
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(* t (* z (- 1 y)))
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(*.f64 (fma.f64 (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) y) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y)) t)
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rewrite231.0ms (1.3%)

Memory
30.0MiB live, 257.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061462
094462
1366450
22968450
09754430
Stop Event
iter limit
node limit
iter limit
Counts
27 → 592
Calls
Call 1
Inputs
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))
#s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))
(/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))
#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t)))
(*.f64 (neg.f64 z) (/.f64 y t))
(neg.f64 z)
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z)))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z))
(*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z)
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 z (/.f64 (/.f64 y t) x))) x))
(fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 z (/.f64 (/.f64 y t) x))) x)
(neg.f64 x)
#s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 z (/.f64 (/.f64 y t) x)))
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(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) (/.f64 t y)) z))))
(/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) (/.f64 t y)) z)))
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#s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) (/.f64 t y)) z))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t)
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) (/.f64 t y)) z)
Outputs
(*.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -2 binary64))) (pow.f64 (+.f64 (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -3 binary64))) (pow.f64 (fma.f64 x x (+.f64 (/.f64 x #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y))) (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -2 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -1 binary64)) x) (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x (+.f64 (/.f64 x #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y))) (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -2 binary64)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -3 binary64)))) #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -2 binary64)) (-.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y))) x))))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x x (+.f64 (/.f64 x #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y))) (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -2 binary64)))) (neg.f64 (-.f64 x (/.f64 #s(literal -1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -2 binary64)))) (neg.f64 (+.f64 (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -1 binary64)) x)))
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(/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -2 binary64))) (-.f64 x (/.f64 #s(literal -1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -2 binary64))) (+.f64 (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -1 binary64)) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -3 binary64))) (fma.f64 x x (-.f64 (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -2 binary64)) (*.f64 x (/.f64 #s(literal -1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -3 binary64))) (fma.f64 x x (+.f64 (/.f64 x #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y))) (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -2 binary64)))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (+.f64 (/.f64 x #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y))) (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -2 binary64)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y t) (/.f64 t (expm1.f64 z))) y)) #s(literal -3 binary64))))))
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(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) y) #s(literal 2 binary64))) (pow.f64 (/.f64 t y) #s(literal 2 binary64))) (pow.f64 z #s(literal -1 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y)) t) y)))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) y) #s(literal 3 binary64)) (pow.f64 (/.f64 t y) #s(literal 3 binary64))) (pow.f64 z #s(literal -1 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) y) #s(literal 2 binary64)) (*.f64 (/.f64 t y) (/.f64 (-.f64 t (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y))) y)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t)) (pow.f64 y #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64))) (neg.f64 z))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t)) (pow.f64 y #s(literal -2 binary64)) (/.f64 t y))))) (neg.f64 (neg.f64 (neg.f64 z))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) y) #s(literal 2 binary64))) (pow.f64 (/.f64 t y) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y)) t) y) z)))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) y) #s(literal 3 binary64)) (pow.f64 (/.f64 t y) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) y) #s(literal 2 binary64)) (*.f64 (/.f64 t y) (/.f64 (-.f64 t (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y))) y))) z)))
(/.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t)) (pow.f64 y #s(literal -2 binary64)) (/.f64 t y))) #s(literal -1 binary64)) z)
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) y) #s(literal 2 binary64))) (pow.f64 (/.f64 t y) #s(literal 2 binary64))) (pow.f64 z #s(literal -1 binary64))) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y)) t) y))
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) y) #s(literal 3 binary64)) (pow.f64 (/.f64 t y) #s(literal 3 binary64))) (pow.f64 z #s(literal -1 binary64))) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) y) #s(literal 2 binary64)) (*.f64 (/.f64 t y) (/.f64 (-.f64 t (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y))) y))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t)) (pow.f64 y #s(literal -2 binary64)) (/.f64 t y)) #s(literal 1 binary64)) z)
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t)) (pow.f64 y #s(literal -2 binary64)) (/.f64 t y)))) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) y) #s(literal 2 binary64))) (pow.f64 (/.f64 t y) #s(literal 2 binary64)))) (neg.f64 (*.f64 z (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y)) t) y))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) y) #s(literal 3 binary64)) (pow.f64 (/.f64 t y) #s(literal 3 binary64)))) (neg.f64 (*.f64 z (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) y) #s(literal 2 binary64)) (*.f64 (/.f64 t y) (/.f64 (-.f64 t (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y))) y))))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) y) #s(literal 2 binary64))) (pow.f64 (/.f64 t y) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y)) t) y) z))
(/.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) y) #s(literal 3 binary64)) (pow.f64 (/.f64 t y) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) y) #s(literal 2 binary64)) (*.f64 (/.f64 t y) (/.f64 (-.f64 t (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y))) y))) z))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) y) #s(literal 2 binary64))) (pow.f64 (/.f64 t y) #s(literal 2 binary64))) (*.f64 z (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y)) t) y)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) y) #s(literal 3 binary64)) (pow.f64 (/.f64 t y) #s(literal 3 binary64))) (*.f64 z (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) y) #s(literal 2 binary64)) (*.f64 (/.f64 t y) (/.f64 (-.f64 t (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y))) y)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t)) (pow.f64 y #s(literal -2 binary64)) (/.f64 t y))) (neg.f64 z))
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t)) (pow.f64 y #s(literal -2 binary64)) (/.f64 t y)) z)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t)) (pow.f64 y #s(literal -2 binary64)) (/.f64 t y))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t)) (pow.f64 y #s(literal -2 binary64)) (/.f64 t y)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t)) (pow.f64 y #s(literal -2 binary64)) (/.f64 t y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t)) (pow.f64 y #s(literal -2 binary64)) (/.f64 t y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t)) (pow.f64 y #s(literal -2 binary64)) (/.f64 t y))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t)) (pow.f64 y #s(literal -2 binary64)) (/.f64 t y))) z))
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t)) (pow.f64 y #s(literal -2 binary64)) (/.f64 t y)) (neg.f64 z)))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) y) #s(literal 2 binary64))) (*.f64 z (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y)) t) y))) (/.f64 (pow.f64 (/.f64 t y) #s(literal 2 binary64)) (*.f64 z (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y)) t) y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t)) (pow.f64 y #s(literal -2 binary64)) (/.f64 t y)) (neg.f64 z)))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) y) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y)) t) y)) z) (/.f64 (/.f64 (pow.f64 (/.f64 t y) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y)) t) y)) z))
(exp.f64 (*.f64 (log.f64 (/.f64 z (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t)) (pow.f64 y #s(literal -2 binary64)) (/.f64 t y)))) #s(literal -1 binary64)))

eval182.0ms (1%)

Memory
-7.0MiB live, 151.3MiB allocated
Compiler

Compiled 34 460 to 3 834 computations (88.9% saved)

prune63.0ms (0.3%)

Memory
12.0MiB live, 97.4MiB allocated
Pruning

39 alts after pruning (31 fresh and 8 done)

PrunedKeptTotal
New73315748
Fresh71623
Picked325
Done167
Total74439783
Accuracy
99.7%
Counts
783 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.9%
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) x)
65.4%
(-.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))
64.1%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t))
71.9%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
32.1%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
62.3%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) z)) t))
87.1%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
71.9%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))))))
84.1%
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 z t))) y) (/.f64 t y)) z))))
84.4%
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) #s(approx (/ (* (* (* (- 1 y) y) z) t) y) (*.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) t)) (/.f64 t y)) z))))
81.6%
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) #s(approx (/ (* (* (* (- 1 y) y) z) t) y) (*.f64 (*.f64 y (neg.f64 t)) z)) (/.f64 t y)) z))))
82.1%
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) #s(approx (/ (* (* (* (- 1 y) y) z) t) y) (*.f64 z t)) (/.f64 t y)) z))))
71.4%
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z)) (/.f64 t y) (/.f64 t y)) z))))
59.3%
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) (*.f64 (/.f64 t y) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 t y)) z))))
55.1%
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) (*.f64 y y)) (/.f64 t y)) z))))
42.4%
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t)) (/.f64 y t) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 y t))) z))))
52.8%
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (/ -1/2 y) (/ (* (* (* (- 1 y) y) z) t) y)) (/ t y)) (*.f64 (*.f64 #s(literal 1/2 binary64) t) z)) z))))
86.1%
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 y t (neg.f64 t)) t) z)) y))))
66.2%
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (/ -1/2 y) (/ (* (* (* (- 1 y) y) z) t) y)) (/ t y)) z) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) t) y) #s(literal -1/2 binary64))))))
52.6%
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t)))))
62.8%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (*.f64 t y)) (*.f64 t t)) z)))
75.5%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
75.5%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z)))
77.6%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
61.2%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (* t t)) (*.f64 (*.f64 y (/.f64 (*.f64 y z) t)) #s(literal -1/2 binary64))) z)))
85.4%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (neg.f64 x) t) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x) x))
89.5%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x))
66.2%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y z) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) (*.f64 t x)) x))
72.6%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (/.f64 z (*.f64 x (/.f64 t y)))) x))
72.3%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 z (/.f64 (/.f64 y x) t))) x))
27.5%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
13.6%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (*.f64 (neg.f64 z) y) t)))
13.7%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (neg.f64 z) (/.f64 t y))))
13.5%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 z) y)))))
15.0%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.f64 z) t) y)))
14.7%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) z)) y)))
15.0%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (*.f64 z (/.f64 #s(literal -1 binary64) t)) y)))
13.7%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))
20.7%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))))
Compiler

Compiled 3 291 to 1 322 computations (59.8% saved)

regimes331.0ms (1.8%)

Memory
-2.5MiB live, 363.5MiB allocated
Counts
64 → 3
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.f64 z) t) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (*.f64 (neg.f64 z) y) t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t)))))
(-.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) 1) y))) (neg t)) (*.f64 (*.f64 z (/.f64 #s(literal -1 binary64) t)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 y (/.f64 (neg.f64 t) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (neg.f64 z) (/.f64 t y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) z)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 z) y)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (*.f64 t y)) (*.f64 t t)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) #s(approx (* (+ (* 1/2 z) 1) z) (*.f64 (*.f64 z z) #s(literal 1/2 binary64)))) t) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) t) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal -1/2 binary64)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (* t t)) (*.f64 (*.f64 y (/.f64 (*.f64 y z) t)) #s(literal -1/2 binary64))) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 z (/.f64 (/.f64 y t) x))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 z (/.f64 (/.f64 y x) t))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (/.f64 z (*.f64 x (/.f64 t y)))) x))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (/ -1/2 y) (/ (* (* (* (- 1 y) y) z) t) y)) (/ t y)) (*.f64 (*.f64 #s(literal 1/2 binary64) t) z)) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y (/.f64 t #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z))))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 y t) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (/ -1/2 y) (/ (* (* (* (- 1 y) y) z) t) y)) (/ t y)) z) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) t) y) #s(literal -1/2 binary64))))))
(-.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 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (*.f64 (fma.f64 (*.f64 t z) #s(literal 1/2 binary64) t) y)) (*.f64 t t)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)) t)) (*.f64 t t)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (*.f64 #s(literal 1/2 binary64) z)) t (*.f64 t y)) (*.f64 t t)) z)))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 y t (neg.f64 t)) t) z)) y))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) #s(approx (/ (* (* (* (- 1 y) y) z) t) y) (*.f64 z t)) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) #s(approx (/ (* (* (* (- 1 y) y) z) t) y) (*.f64 (*.f64 y (neg.f64 t)) z)) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) #s(approx (/ (* (* (* (- 1 y) y) z) t) y) (*.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) t)) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) (*.f64 y y)) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) (*.f64 (/.f64 t y) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z)) (/.f64 t y) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 z t))) y) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t)) (/.f64 y t) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 y t))) z))))
(-.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) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) 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))
(fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) t) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) x)
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))))))
(-.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 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y z) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) (*.f64 t x)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) 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)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (/.f64 (neg.f64 x) t) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) x) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 3 binary64))) (fma.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) x) (fma.f64 x x (pow.f64 (/.f64 (log1p.f64 (fma.f64 (exp.f64 z) y (neg.f64 y))) t) #s(literal 2 binary64)))))
Outputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y z) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) (*.f64 t x)) x))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
Calls

9 calls:

98.0ms
(exp.f64 z)
52.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
51.0ms
y
36.0ms
t
20.0ms
z
Results
AccuracySegmentsBranch
95.4%3x
96.1%3y
94.4%2z
95.4%3t
95.5%3(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
96.0%3(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
96.7%3(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
96.7%3(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
94.4%2(exp.f64 z)
Compiler

Compiled 47 to 63 computations (-34% saved)

regimes360.0ms (2%)

Memory
-25.2MiB live, 170.8MiB allocated
Counts
57 → 2
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.f64 z) t) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (*.f64 (neg.f64 z) y) t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t)))))
(-.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) 1) y))) (neg t)) (*.f64 (*.f64 z (/.f64 #s(literal -1 binary64) t)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 y (/.f64 (neg.f64 t) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (neg.f64 z) (/.f64 t y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) z)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 z) y)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (*.f64 t y)) (*.f64 t t)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) #s(approx (* (+ (* 1/2 z) 1) z) (*.f64 (*.f64 z z) #s(literal 1/2 binary64)))) t) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) t) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal -1/2 binary64)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (* t t)) (*.f64 (*.f64 y (/.f64 (*.f64 y z) t)) #s(literal -1/2 binary64))) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 z (/.f64 (/.f64 y t) x))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 z (/.f64 (/.f64 y x) t))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (/.f64 z (*.f64 x (/.f64 t y)))) x))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (/ -1/2 y) (/ (* (* (* (- 1 y) y) z) t) y)) (/ t y)) (*.f64 (*.f64 #s(literal 1/2 binary64) t) z)) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y (/.f64 t #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z))))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 y t) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (/ -1/2 y) (/ (* (* (* (- 1 y) y) z) t) y)) (/ t y)) z) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) t) y) #s(literal -1/2 binary64))))))
(-.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 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (*.f64 (fma.f64 (*.f64 t z) #s(literal 1/2 binary64) t) y)) (*.f64 t t)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)) t)) (*.f64 t t)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (*.f64 #s(literal 1/2 binary64) z)) t (*.f64 t y)) (*.f64 t t)) z)))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 y t (neg.f64 t)) t) z)) y))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) #s(approx (/ (* (* (* (- 1 y) y) z) t) y) (*.f64 z t)) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) #s(approx (/ (* (* (* (- 1 y) y) z) t) y) (*.f64 (*.f64 y (neg.f64 t)) z)) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) #s(approx (/ (* (* (* (- 1 y) y) z) t) y) (*.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) t)) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) (*.f64 y y)) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) (*.f64 (/.f64 t y) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z)) (/.f64 t y) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 z t))) y) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t)) (/.f64 y t) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 y t))) z))))
(-.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) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) 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))
(fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) t) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) x)
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))))))
(-.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 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y z) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) (*.f64 t x)) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
Outputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y z) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) (*.f64 t x)) x))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))))
Calls

9 calls:

181.0ms
(exp.f64 z)
46.0ms
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
31.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
21.0ms
x
17.0ms
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
Results
AccuracySegmentsBranch
89.8%1x
89.8%1t
91.8%2(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
91.8%2(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
89.8%1z
89.8%1(exp.f64 z)
92.6%2y
93.3%2(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
93.3%2(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
Compiler

Compiled 47 to 63 computations (-34% saved)

regimes54.0ms (0.3%)

Memory
5.5MiB live, 48.9MiB allocated
Counts
55 → 2
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.f64 z) t) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (*.f64 (neg.f64 z) y) t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t)))))
(-.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) 1) y))) (neg t)) (*.f64 (*.f64 z (/.f64 #s(literal -1 binary64) t)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 y (/.f64 (neg.f64 t) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (neg.f64 z) (/.f64 t y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) z)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 z) y)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (*.f64 t y)) (*.f64 t t)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) #s(approx (* (+ (* 1/2 z) 1) z) (*.f64 (*.f64 z z) #s(literal 1/2 binary64)))) t) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) t) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal -1/2 binary64)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (* t t)) (*.f64 (*.f64 y (/.f64 (*.f64 y z) t)) #s(literal -1/2 binary64))) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 z (/.f64 (/.f64 y t) x))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 z (/.f64 (/.f64 y x) t))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (/.f64 z (*.f64 x (/.f64 t y)))) x))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (/ -1/2 y) (/ (* (* (* (- 1 y) y) z) t) y)) (/ t y)) (*.f64 (*.f64 #s(literal 1/2 binary64) t) z)) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y (/.f64 t #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z))))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 y t) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (/ -1/2 y) (/ (* (* (* (- 1 y) y) z) t) y)) (/ t y)) z) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) t) y) #s(literal -1/2 binary64))))))
(-.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 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (*.f64 (fma.f64 (*.f64 t z) #s(literal 1/2 binary64) t) y)) (*.f64 t t)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)) t)) (*.f64 t t)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (*.f64 #s(literal 1/2 binary64) z)) t (*.f64 t y)) (*.f64 t t)) z)))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 y t (neg.f64 t)) t) z)) y))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) #s(approx (/ (* (* (* (- 1 y) y) z) t) y) (*.f64 z t)) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) #s(approx (/ (* (* (* (- 1 y) y) z) t) y) (*.f64 (*.f64 y (neg.f64 t)) z)) (/.f64 t y)) z))))
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(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) (*.f64 y y)) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) (*.f64 (/.f64 t y) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z)) (/.f64 t y) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 z t))) y) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t)) (/.f64 y t) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 y t))) z))))
(-.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) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) 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))
(fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) t) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) x)
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))))))
(-.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 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))))
Outputs
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
Calls

3 calls:

23.0ms
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
15.0ms
y
12.0ms
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
Results
AccuracySegmentsBranch
92.2%2y
89.8%1(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
89.8%1(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
Compiler

Compiled 18 to 23 computations (-27.8% saved)

regimes250.0ms (1.4%)

Memory
7.1MiB live, 163.9MiB allocated
Counts
54 → 3
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.f64 z) t) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (*.f64 (neg.f64 z) y) t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t)))))
(-.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) 1) y))) (neg t)) (*.f64 (*.f64 z (/.f64 #s(literal -1 binary64) t)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 y (/.f64 (neg.f64 t) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (neg.f64 z) (/.f64 t y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) z)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 z) y)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (*.f64 t y)) (*.f64 t t)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) #s(approx (* (+ (* 1/2 z) 1) z) (*.f64 (*.f64 z z) #s(literal 1/2 binary64)))) t) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) t) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal -1/2 binary64)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (* t t)) (*.f64 (*.f64 y (/.f64 (*.f64 y z) t)) #s(literal -1/2 binary64))) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 z (/.f64 (/.f64 y t) x))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 z (/.f64 (/.f64 y x) t))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (/.f64 z (*.f64 x (/.f64 t y)))) x))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (/ -1/2 y) (/ (* (* (* (- 1 y) y) z) t) y)) (/ t y)) (*.f64 (*.f64 #s(literal 1/2 binary64) t) z)) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y (/.f64 t #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z))))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 y t) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (/ -1/2 y) (/ (* (* (* (- 1 y) y) z) t) y)) (/ t y)) z) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) t) y) #s(literal -1/2 binary64))))))
(-.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 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (*.f64 (fma.f64 (*.f64 t z) #s(literal 1/2 binary64) t) y)) (*.f64 t t)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)) t)) (*.f64 t t)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (*.f64 #s(literal 1/2 binary64) z)) t (*.f64 t y)) (*.f64 t t)) z)))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 y t (neg.f64 t)) t) z)) y))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) #s(approx (/ (* (* (* (- 1 y) y) z) t) y) (*.f64 z t)) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) #s(approx (/ (* (* (* (- 1 y) y) z) t) y) (*.f64 (*.f64 y (neg.f64 t)) z)) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) #s(approx (/ (* (* (* (- 1 y) y) z) t) y) (*.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) t)) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) (*.f64 y y)) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) (*.f64 (/.f64 t y) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z)) (/.f64 t y) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 z t))) y) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t)) (/.f64 y t) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 y t))) z))))
(-.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) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) 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))
(fma.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) t) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))) x)
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))))))
(-.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 (*.f64 y (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64))) z y) z #s(literal 1 binary64)))) t))
Outputs
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 y t (neg.f64 t)) t) z)) y))))
(-.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

9 calls:

102.0ms
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
30.0ms
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
28.0ms
z
15.0ms
x
15.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
88.9%1z
88.9%1t
90.6%2(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
90.6%2(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
88.9%1(exp.f64 z)
88.9%1x
90.7%2(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
88.9%1(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
92.6%3y
Compiler

Compiled 47 to 63 computations (-34% saved)

regimes31.0ms (0.2%)

Memory
-13.0MiB live, 62.2MiB allocated
Counts
48 → 2
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.f64 z) t) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (*.f64 (neg.f64 z) y) t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t)))))
(-.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) 1) y))) (neg t)) (*.f64 (*.f64 z (/.f64 #s(literal -1 binary64) t)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 y (/.f64 (neg.f64 t) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (neg.f64 z) (/.f64 t y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) z)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 z) y)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (*.f64 t y)) (*.f64 t t)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) #s(approx (* (+ (* 1/2 z) 1) z) (*.f64 (*.f64 z z) #s(literal 1/2 binary64)))) t) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) t) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal -1/2 binary64)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (* t t)) (*.f64 (*.f64 y (/.f64 (*.f64 y z) t)) #s(literal -1/2 binary64))) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 z (/.f64 (/.f64 y t) x))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 z (/.f64 (/.f64 y x) t))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (/.f64 z (*.f64 x (/.f64 t y)))) x))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (/ -1/2 y) (/ (* (* (* (- 1 y) y) z) t) y)) (/ t y)) (*.f64 (*.f64 #s(literal 1/2 binary64) t) z)) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y (/.f64 t #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z))))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 y t) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (/ -1/2 y) (/ (* (* (* (- 1 y) y) z) t) y)) (/ t y)) z) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) t) y) #s(literal -1/2 binary64))))))
(-.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 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (*.f64 (fma.f64 (*.f64 t z) #s(literal 1/2 binary64) t) y)) (*.f64 t t)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)) t)) (*.f64 t t)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (*.f64 #s(literal 1/2 binary64) z)) t (*.f64 t y)) (*.f64 t t)) z)))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 y t (neg.f64 t)) t) z)) y))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) #s(approx (/ (* (* (* (- 1 y) y) z) t) y) (*.f64 z t)) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) #s(approx (/ (* (* (* (- 1 y) y) z) t) y) (*.f64 (*.f64 y (neg.f64 t)) z)) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) #s(approx (/ (* (* (* (- 1 y) y) z) t) y) (*.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) t)) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) (*.f64 y y)) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) (*.f64 (/.f64 t y) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z)) (/.f64 t y) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 z t))) y) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t)) (/.f64 y t) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 y t))) z))))
(-.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) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) 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)))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 y t (neg.f64 t)) t) z)) y))))
Calls

2 calls:

15.0ms
y
11.0ms
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
Results
AccuracySegmentsBranch
90.7%2(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
90.6%2y
Compiler

Compiled 12 to 15 computations (-25% saved)

regimes123.0ms (0.7%)

Memory
5.5MiB live, 200.1MiB allocated
Counts
46 → 1
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.f64 z) t) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (*.f64 (neg.f64 z) y) t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t)))))
(-.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) 1) y))) (neg t)) (*.f64 (*.f64 z (/.f64 #s(literal -1 binary64) t)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 y (/.f64 (neg.f64 t) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (neg.f64 z) (/.f64 t y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) z)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 z) y)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (*.f64 t y)) (*.f64 t t)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) #s(approx (* (+ (* 1/2 z) 1) z) (*.f64 (*.f64 z z) #s(literal 1/2 binary64)))) t) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) t) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal -1/2 binary64)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (* t t)) (*.f64 (*.f64 y (/.f64 (*.f64 y z) t)) #s(literal -1/2 binary64))) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 z (/.f64 (/.f64 y t) x))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 z (/.f64 (/.f64 y x) t))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (/.f64 z (*.f64 x (/.f64 t y)))) x))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (/ -1/2 y) (/ (* (* (* (- 1 y) y) z) t) y)) (/ t y)) (*.f64 (*.f64 #s(literal 1/2 binary64) t) z)) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y (/.f64 t #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z))))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 y t) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (/ -1/2 y) (/ (* (* (* (- 1 y) y) z) t) y)) (/ t y)) z) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) t) y) #s(literal -1/2 binary64))))))
(-.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 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (*.f64 (fma.f64 (*.f64 t z) #s(literal 1/2 binary64) t) y)) (*.f64 t t)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)) t)) (*.f64 t t)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (*.f64 #s(literal 1/2 binary64) z)) t (*.f64 t y)) (*.f64 t t)) z)))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 y t (neg.f64 t)) t) z)) y))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) #s(approx (/ (* (* (* (- 1 y) y) z) t) y) (*.f64 z t)) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) #s(approx (/ (* (* (* (- 1 y) y) z) t) y) (*.f64 (*.f64 y (neg.f64 t)) z)) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) #s(approx (/ (* (* (* (- 1 y) y) z) t) y) (*.f64 (*.f64 z (-.f64 #s(literal 1 binary64) y)) t)) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) (*.f64 y y)) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) (*.f64 (/.f64 t y) (/.f64 #s(literal -1/2 binary64) y)) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) y) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z)) (/.f64 t y) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t) y) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (*.f64 z t))) y) (/.f64 t y)) z))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) z) t)) (/.f64 y t) (*.f64 y y)) (*.f64 (*.f64 y y) (/.f64 y t))) z))))
(-.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) 1) y))) (neg t)) (*.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t))))
Outputs
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 y t (neg.f64 t)) t) z)) y))))
Calls

9 calls:

18.0ms
y
15.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
15.0ms
z
13.0ms
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
13.0ms
x
Results
AccuracySegmentsBranch
86.1%1t
86.1%1(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
86.1%1x
86.1%1z
86.1%1(exp.f64 z)
86.1%1y
86.1%1(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
86.1%1(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
86.1%1(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
Compiler

Compiled 47 to 63 computations (-34% saved)

regimes278.0ms (1.5%)

Memory
33.5MiB live, 149.3MiB allocated
Counts
34 → 2
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.f64 z) t) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (*.f64 (neg.f64 z) y) t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t)))))
(-.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) 1) y))) (neg t)) (*.f64 (*.f64 z (/.f64 #s(literal -1 binary64) t)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 y (/.f64 (neg.f64 t) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (neg.f64 z) (/.f64 t y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) z)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 z) y)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (*.f64 t y)) (*.f64 t t)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) #s(approx (* (+ (* 1/2 z) 1) z) (*.f64 (*.f64 z z) #s(literal 1/2 binary64)))) t) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) t) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal -1/2 binary64)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (* t t)) (*.f64 (*.f64 y (/.f64 (*.f64 y z) t)) #s(literal -1/2 binary64))) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 z (/.f64 (/.f64 y t) x))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 z (/.f64 (/.f64 y x) t))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (/.f64 z (*.f64 x (/.f64 t y)))) x))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (/ -1/2 y) (/ (* (* (* (- 1 y) y) z) t) y)) (/ t y)) (*.f64 (*.f64 #s(literal 1/2 binary64) t) z)) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y (/.f64 t #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z))))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 y t) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (/ -1/2 y) (/ (* (* (* (- 1 y) y) z) t) y)) (/ t y)) z) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) t) y) #s(literal -1/2 binary64))))))
(-.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 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (*.f64 (fma.f64 (*.f64 t z) #s(literal 1/2 binary64) t) y)) (*.f64 t t)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) z) #s(literal -1/2 binary64)) t)) (*.f64 t t)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 y (*.f64 y y)) t) #s(literal 1/2 binary64)) z (/.f64 y t)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (*.f64 #s(literal 1/2 binary64) z)) t (*.f64 t y)) (*.f64 t t)) z)))
Outputs
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (/ -1/2 y) (/ (* (* (* (- 1 y) y) z) t) y)) (/ t y)) z) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) t) y) #s(literal -1/2 binary64))))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
Calls

9 calls:

199.0ms
y
13.0ms
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
10.0ms
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
10.0ms
x
10.0ms
z
Results
AccuracySegmentsBranch
85.8%2z
79.3%2x
79.5%2y
77.6%1t
77.6%1(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
77.6%1(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
81.3%2(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
81.3%2(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
85.8%2(exp.f64 z)
Compiler

Compiled 47 to 63 computations (-34% saved)

regimes24.0ms (0.1%)

Memory
-2.7MiB live, 33.4MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.f64 z) t) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (*.f64 (neg.f64 z) y) t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t)))))
(-.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) 1) y))) (neg t)) (*.f64 (*.f64 z (/.f64 #s(literal -1 binary64) t)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 y (/.f64 (neg.f64 t) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (neg.f64 z) (/.f64 t y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) z)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 z) y)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (*.f64 t y)) (*.f64 t t)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) #s(approx (* (+ (* 1/2 z) 1) z) (*.f64 (*.f64 z z) #s(literal 1/2 binary64)))) t) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) t) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal -1/2 binary64)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (* t t)) (*.f64 (*.f64 y (/.f64 (*.f64 y z) t)) #s(literal -1/2 binary64))) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 z (/.f64 (/.f64 y t) x))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 z (/.f64 (/.f64 y x) t))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (/.f64 z (*.f64 x (/.f64 t y)))) x))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (/ -1/2 y) (/ (* (* (* (- 1 y) y) z) t) y)) (/ t y)) (*.f64 (*.f64 #s(literal 1/2 binary64) t) z)) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 y (/.f64 t #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z))))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 y (fma.f64 #s(literal -1/2 binary64) y #s(literal 1/2 binary64))) z y) z)) t))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 y t) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))))
Outputs
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (/ -1/2 y) (/ (* (* (* (- 1 y) y) z) t) y)) (/ t y)) (*.f64 (*.f64 #s(literal 1/2 binary64) t) z)) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
Calls

2 calls:

16.0ms
z
7.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
81.7%2(exp.f64 z)
82.5%2z
Compiler

Compiled 3 to 9 computations (-200% saved)

regimes19.0ms (0.1%)

Memory
-25.2MiB live, 24.0MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.f64 z) t) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (*.f64 (neg.f64 z) y) t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t)))))
(-.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) 1) y))) (neg t)) (*.f64 (*.f64 z (/.f64 #s(literal -1 binary64) t)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 y (/.f64 (neg.f64 t) z))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (neg.f64 z) (/.f64 t y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 z (/.f64 t y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) t)) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) z)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (neg.f64 z) y)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (*.f64 t y)) (*.f64 t t)) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) #s(approx (* (+ (* 1/2 z) 1) z) (*.f64 (*.f64 z z) #s(literal 1/2 binary64)))) t) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) t) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 z y)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) #s(approx (* (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) z) (*.f64 (*.f64 y (/.f64 (*.f64 (*.f64 z z) y) t)) #s(literal -1/2 binary64)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (+ (* (* (/ (- y (* y y)) t) 1/2) z) (/ y t)) (*.f64 (*.f64 y (/.f64 (*.f64 z y) t)) #s(literal -1/2 binary64))) z)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (+ (* (* (* (- 1 y) y) (* 1/2 z)) t) (* t y)) (* t t)) (*.f64 (*.f64 y (/.f64 (*.f64 y z) t)) #s(literal -1/2 binary64))) z)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 z (/.f64 (/.f64 y t) x))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (*.f64 z (/.f64 (/.f64 y x) t))) x))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (* t x)) (/.f64 z (*.f64 x (/.f64 t y)))) x))
Outputs
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
Calls

2 calls:

10.0ms
(exp.f64 z)
7.0ms
z
Results
AccuracySegmentsBranch
80.6%2(exp.f64 z)
81.4%2z
Compiler

Compiled 3 to 9 computations (-200% saved)

regimes15.0ms (0.1%)

Memory
29.8MiB live, 29.8MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.f64 z) t) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (*.f64 (neg.f64 z) y) t)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) z)))
Outputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
Calls

7 calls:

2.0ms
x
2.0ms
y
2.0ms
z
2.0ms
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
2.0ms
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
Results
AccuracySegmentsBranch
77.6%1(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
77.6%1x
77.6%1y
77.6%1(exp.f64 z)
77.6%1(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
77.6%1(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
77.6%1z
Compiler

Compiled 33 to 47 computations (-42.4% saved)

regimes17.0ms (0.1%)

Memory
-7.5MiB live, 31.2MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.f64 z) t) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (/.f64 (*.f64 (neg.f64 z) y) t)))
Outputs
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.f64 z) t) y)))
Calls

9 calls:

4.0ms
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
2.0ms
x
2.0ms
y
2.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
2.0ms
z
Results
AccuracySegmentsBranch
15.0%1y
15.0%1z
15.0%1(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
15.0%1t
15.0%1(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
15.0%1(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
15.0%1(exp.f64 z)
15.0%1x
15.0%1(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
Compiler

Compiled 47 to 63 computations (-34% saved)

regimes12.0ms (0.1%)

Memory
-14.4MiB live, 24.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

9 calls:

3.0ms
x
1.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
1.0ms
z
1.0ms
y
1.0ms
t
Results
AccuracySegmentsBranch
13.7%1y
13.7%1(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
13.7%1(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
13.7%1(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
13.7%1x
13.7%1t
13.7%1(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
13.7%1(exp.f64 z)
13.7%1z
Compiler

Compiled 47 to 63 computations (-34% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0
1.0000002235237848
0.0ms
0.0
0.9999999999974157
Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9999999999974157
Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch110.0ms (0.6%)

Memory
20.6MiB live, 103.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
105.0ms
2.900178919652756e+144
1.0095293357138211e+147
Samples
82.0ms120×1valid
9.0ms33×1invalid
5.0ms75×0invalid
1.0ms0valid
Compiler

Compiled 376 to 323 computations (14.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
ival-div: 30.0ms (34.3% of total)
ival-exp: 20.0ms (22.9% of total)
adjust: 18.0ms (20.6% of total)
ival-log: 11.0ms (12.6% of total)
ival-sub: 4.0ms (4.6% of total)
ival-mult: 3.0ms (3.4% of total)
ival-add: 2.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch122.0ms (0.7%)

Memory
5.7MiB live, 80.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
2.900178919652756e+144
1.0095293357138211e+147
105.0ms
-14251923351617118.0
-36153386894199.586
Samples
82.0ms84×0valid
25.0ms76×1valid
1.0ms14×0invalid
0.0ms1invalid
Compiler

Compiled 824 to 659 computations (20% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-exp: 9.0ms (33.3% of total)
ival-log: 9.0ms (33.3% of total)
adjust: 2.0ms (7.4% of total)
ival-div: 2.0ms (7.4% of total)
ival-mult: 2.0ms (7.4% of total)
ival-sub: 2.0ms (7.4% of total)
ival-add: 1.0ms (3.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
4.783618124798034e-220
Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch52.0ms (0.3%)

Memory
-21.0MiB live, 17.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
49.0ms
-3.470226519071609e-31
-5.586180607709962e-33
Samples
14.0ms52×1valid
6.0ms60×0valid
1.0ms12×0invalid
Compiler

Compiled 527 to 376 computations (28.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-log: 6.0ms (37.1% of total)
ival-exp: 3.0ms (18.6% of total)
ival-sub: 2.0ms (12.4% of total)
adjust: 1.0ms (6.2% of total)
ival-div: 1.0ms (6.2% of total)
ival-mult: 1.0ms (6.2% of total)
ival-add: 1.0ms (6.2% 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
-25.9MiB live, 27.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
28.0ms
-1.7176446582030825e+22
-1.6568260997755594e+20
Samples
11.0ms73×0valid
10.0ms39×1valid
1.0ms17×0invalid
Compiler

Compiled 499 to 362 computations (27.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-log: 11.0ms (60.5% of total)
ival-sub: 2.0ms (11% of total)
ival-add: 1.0ms (5.5% of total)
ival-div: 1.0ms (5.5% of total)
adjust: 1.0ms (5.5% of total)
ival-exp: 1.0ms (5.5% of total)
ival-mult: 1.0ms (5.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
-1.7176446582030825e+22
-1.6568260997755594e+20
Compiler

Compiled 436 to 334 computations (23.4% saved)

simplify56.0ms (0.3%)

Memory
28.5MiB live, 65.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0146765
1223765
2398761
3883753
43517753
54776753
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y z) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) (*.f64 t x)) x)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 1 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y z) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) (*.f64 t x)) x)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))))
(if (<=.f64 y #s(literal 188000000000000007929978401077426381665845420610646880540557762089775355716999343411094028861655688096285049827336414443988175377693800122023936000 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) (-.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 -37000000000000 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 y t (neg.f64 t)) t) z)) y)))) (if (<=.f64 y #s(literal 171999999999999999232042400976564117212064341336136855231671096143601831332888272406139263393321486270292296008776238294601847882764843329926463488 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 (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #s(literal 0 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 y t (neg.f64 t)) t) z)) y)))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 y t (neg.f64 t)) t) z)) y))))
(if (<=.f64 z #s(literal -3882113724160211/11417981541647679048466287755595961091061972992 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (/ -1/2 y) (/ (* (* (* (- 1 y) y) z) t) y)) (/ t y)) z) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) t) y) #s(literal -1/2 binary64)))))) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))))
(if (<=.f64 z #s(literal -17000000000000000000000 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (/ -1/2 y) (/ (* (* (* (- 1 y) y) z) t) y)) (/ t y)) (*.f64 (*.f64 #s(literal 1/2 binary64) t) z)) z)))) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))))
(if (<=.f64 z #s(literal -17000000000000000000000 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.f64 z) t) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))
Outputs
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y z) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) (*.f64 t x)) x)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 1 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y z) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) (*.f64 t x)) x)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 1 binary64)) (-.f64 x (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)) #s(literal -1 binary64))) (-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y z) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) (*.f64 t x)) x)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (fma.f64 (neg.f64 x) (/.f64 (log1p.f64 #s(approx (* (- (exp z) 1) y) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 y z) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z))) (*.f64 t x)) x)) (-.f64 x (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)) #s(literal -1 binary64))))
(if (<=.f64 y #s(literal 188000000000000007929978401077426381665845420610646880540557762089775355716999343411094028861655688096285049827336414443988175377693800122023936000 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)))) (-.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 188000000000000007929978401077426381665845420610646880540557762089775355716999343411094028861655688096285049827336414443988175377693800122023936000 binary64)) (-.f64 x (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 (fma.f64 (*.f64 t y) #s(literal 1/2 binary64) (/.f64 t (expm1.f64 z))) y)) #s(literal -1 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 -37000000000000 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 y t (neg.f64 t)) t) z)) y)))) (if (<=.f64 y #s(literal 171999999999999999232042400976564117212064341336136855231671096143601831332888272406139263393321486270292296008776238294601847882764843329926463488 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 y #s(literal -37000000000000 binary64)) (-.f64 x (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 y t (neg.f64 t)) t) z)) y)) #s(literal -1 binary64))) (if (<=.f64 y #s(literal 171999999999999999232042400976564117212064341336136855231671096143601831332888272406139263393321486270292296008776238294601847882764843329926463488 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 (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #s(literal 0 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 y t (neg.f64 t)) t) z)) y)))))
(if (<=.f64 (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t) #s(literal 0 binary64)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))) (-.f64 x (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 y t (neg.f64 t)) t) z)) y)) #s(literal -1 binary64))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 y t (neg.f64 t)) t) z)) y))))
(-.f64 x (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) (/.f64 (fma.f64 (*.f64 z #s(literal 1/2 binary64)) (fma.f64 y t (neg.f64 t)) t) z)) y)) #s(literal -1 binary64)))
(if (<=.f64 z #s(literal -3882113724160211/11417981541647679048466287755595961091061972992 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (/ -1/2 y) (/ (* (* (* (- 1 y) y) z) t) y)) (/ t y)) z) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) t) y) #s(literal -1/2 binary64)))))) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))))
(if (<=.f64 z #s(literal -3882113724160211/11417981541647679048466287755595961091061972992 binary64)) (-.f64 x (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (/ -1/2 y) (/ (* (* (* (- 1 y) y) z) t) y)) (/ t y)) z) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) t) y) #s(literal -1/2 binary64)))) #s(literal -1 binary64))) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))))
(if (<=.f64 z #s(literal -17000000000000000000000 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (/ -1/2 y) (/ (* (* (* (- 1 y) y) z) t) y)) (/ t y)) (*.f64 (*.f64 #s(literal 1/2 binary64) t) z)) z)))) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))))
(if (<=.f64 z #s(literal -17000000000000000000000 binary64)) (-.f64 x (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 #s(approx (+ (* (/ -1/2 y) (/ (* (* (* (- 1 y) y) z) t) y)) (/ t y)) (*.f64 (*.f64 #s(literal 1/2 binary64) t) z)) z)) #s(literal -1 binary64))) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))))
(if (<=.f64 z #s(literal -17000000000000000000000 binary64)) (-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))))) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))))
(if (<=.f64 z #s(literal -17000000000000000000000 binary64)) (-.f64 x (pow.f64 #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) #s(approx (/ (+ (* (* t y) 1/2) (/ t (- (exp z) 1))) y) (*.f64 #s(literal 1/2 binary64) t))) #s(literal -1 binary64))) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (/.f64 (neg.f64 z) t) y)))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) #s(approx (/ (log (+ 1 (* (- (exp z) 1) y))) (neg t)) (*.f64 (neg.f64 z) (/.f64 y t))))

soundness1.3s (7.1%)

Memory
0.4MiB live, 828.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07674476
124014158
082393600
040298
065298
1277298
22242298
08299287
05732843
118802702
257072595
083892188
03351607
110121507
231891458
082701214
056395
091395
1337387
22491387
08388372
08875063
128764713
086304047
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 1 433 to 688 computations (52% saved)

preprocess668.0ms (3.6%)

Memory
18.6MiB live, 174.5MiB allocated
Compiler

Compiled 1 638 to 374 computations (77.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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