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

Time bar (total: 16.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze349.0ms (2.1%)

Memory
-5.8MiB live, 450.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
0%0%99.8%0.2%0%0%0%5
0%0%99.8%0.2%0%0%0%6
0%0%99.8%0.2%0%0%0%7
3.1%3.1%96.7%0.2%0%0%0%8
4.7%4.7%95.1%0.2%0%0%0%9
4.7%4.7%95.1%0.2%0%0%0%10
16.4%16.4%83.4%0.2%0%0%0%11
18.8%17.5%76%0.2%0%6.2%0%12
Compiler

Compiled 15 to 14 computations (6.7% saved)

sample6.9s (42.2%)

Memory
104.4MiB live, 5 239.3MiB allocated
Samples
2.8s4 503×1valid
1.3s1 202×5exit
1.0s3 753×0valid
291.0ms379×4exit
226.0ms1 774×0invalid
216.0ms672×1invalid
Precisions
Click to see histograms. Total time spent on operations: 4.6s
ival-log: 1.6s (35.1% of total)
ival-exp: 1.2s (26.9% of total)
adjust: 482.0ms (10.4% of total)
ival-sub: 454.0ms (9.8% of total)
ival-div: 337.0ms (7.3% of total)
ival-add: 264.0ms (5.7% of total)
ival-mult: 201.0ms (4.3% of total)
ival-true: 12.0ms (0.3% of total)
exact: 9.0ms (0.2% of total)
ival-assert: 6.0ms (0.1% of total)
Bogosity

explain391.0ms (2.4%)

Memory
-19.9MiB live, 498.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
16048(-9.624588655146863e-48 9.05977782921338e-285 2.4584570677678266e-150 -5.731022451591554e-36)0-(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
716(-3.6076694250043845e-109 53745.630111959326 1.1126209150856494e-169 2.4769639069482713e-101)0-(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
180-1(-1.8675461353407297e-27 5.8968787129474805e-123 -3.480840454642375e-189 -1.0242401892468516e-133)(/.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))))sensitivity2080
+.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/n30
(exp.f64 z)underflow85
(*.f64 y (exp.f64 z))underflow85
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))underflow48
Confusion
Predicted +Predicted -
+8512
-12930
Precision
0.397196261682243
Recall
0.8762886597938144
Confusion?
Predicted +Predicted MaybePredicted -
+85012
-129030
Precision?
0.397196261682243
Recall?
0.8762886597938144
Freqs
test
numberfreq
042
1186
228
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
116.0ms318×1valid
113.0ms128×2valid
22.0ms64×0valid
1.0ms5exit
Compiler

Compiled 182 to 52 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 218.0ms
ival-log: 129.0ms (59.2% of total)
ival-exp: 35.0ms (16.1% of total)
adjust: 18.0ms (8.3% of total)
ival-sub: 13.0ms (6% of total)
ival-div: 11.0ms (5.1% of total)
ival-mult: 6.0ms (2.8% of total)
ival-add: 5.0ms (2.3% of total)
ival-true: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess529.0ms (3.2%)

Memory
-34.2MiB live, 215.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067192
1179186
2601184
32409184
01213
01913
13413
28713
326113
4102813
5632813
083129
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
Outputs
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
Compiler

Compiled 13 to 12 computations (7.7% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.8%
(-.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)

simplify168.0ms (1%)

Memory
12.3MiB live, 207.9MiB 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
13455
28755
326155
4102855
5632855
0831240
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
x
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 y (exp.f64 z))
(exp.f64 z)
z
t
Outputs
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (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

localize144.0ms (0.9%)

Memory
2.8MiB live, 158.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(*.f64 y (exp.f64 z))
accuracy4.068906910071228
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
accuracy16.681798808654612
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
accuracy35.775212934491464
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
Samples
70.0ms159×1valid
59.0ms64×2valid
3.0ms32×0valid
0.0ms5exit
Compiler

Compiled 112 to 26 computations (76.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
ival-log: 34.0ms (33.8% of total)
adjust: 33.0ms (32.8% of total)
ival-exp: 17.0ms (16.9% of total)
ival-sub: 6.0ms (6% of total)
ival-div: 4.0ms (4% of total)
ival-mult: 3.0ms (3% of total)
ival-add: 3.0ms (3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series195.0ms (1.2%)

Memory
2.9MiB live, 196.4MiB 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
60.0ms
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)))
53.0ms
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)))
24.0ms
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)))
22.0ms
x
@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)))
13.0ms
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)))

simplify224.0ms (1.4%)

Memory
-45.2MiB live, 249.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03351589
111361462
245241410
083801175
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))))
(- (+ (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))))
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(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
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(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) z (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) z)
(+ x (* -1 (/ (* y z) t)))
(-.f64 x (/.f64 (*.f64 z y) t))
(+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))))
(fma.f64 (/.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64)) z (neg.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 (fma.f64 (/.f64 (fma.f64 (-.f64 y (*.f64 y y)) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal -1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)))) t) z (/.f64 (neg.f64 y) t)) z x)
(/ (* y z) t)
(/.f64 (*.f64 z y) t)
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z)
(* z (+ (* z (+ (* 1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))
(*.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) z y) t) z)
(* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) t)) (* 1/6 (/ (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)))))) (/ y t)))
(*.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) z (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64))) t) z (/.f64 y t)) z)
y
(+ y (* y z))
(fma.f64 z y y)
(+ y (* z (+ y (* 1/2 (* y z)))))
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z y)
(+ y (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 z y) (*.f64 #s(literal 1/2 binary64) y)) z y) z 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))

rewrite376.0ms (2.3%)

Memory
24.9MiB live, 215.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01245
01945
17945
267545
0844938
Stop Event
iter limit
node limit
iter limit
Counts
5 → 317
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)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (*.f64 (*.f64 (exp.f64 z) y) (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) y) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (exp.f64 z) y) (fma.f64 (exp.f64 z) y (+.f64 #s(literal -1 binary64) y))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (*.f64 (*.f64 (exp.f64 z) y) (fma.f64 (exp.f64 z) y (+.f64 #s(literal -1 binary64) 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 #s(literal 1 binary64) y) #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (exp.f64 z) y) (fma.f64 (exp.f64 z) y (+.f64 #s(literal -1 binary64) y))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (exp.f64 z) y) (fma.f64 (exp.f64 z) y (+.f64 #s(literal -1 binary64) y))) (-.f64 (*.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 #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 (-.f64 y (*.f64 (exp.f64 z) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 y (*.f64 (exp.f64 z) y)))))
(*.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) (fma.f64 (exp.f64 z) y (+.f64 #s(literal -1 binary64) y))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 (exp.f64 z) y))) (-.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 (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))) #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 (-.f64 y (*.f64 (exp.f64 z) y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 y (*.f64 (exp.f64 z) y)) (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #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) (+.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 (exp.f64 z) y))))
(*.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 (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 (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) (+.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 (exp.f64 z) y))))
(*.f64 (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 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (pow.f64 (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))) #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))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (exp.f64 z) y))))))
(*.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 (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))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (exp.f64 z) y)) (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 (exp.f64 z) y)))))
(*.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))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 (exp.f64 z) y)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (exp.f64 z) y) #s(literal 2 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 (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))) #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)) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (exp.f64 z) y)))
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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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(/.f64 (-.f64 (pow.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) (fma.f64 y y (*.f64 (fma.f64 (exp.f64 z) y #s(literal 1 binary64)) y))))
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eval227.0ms (1.4%)

Memory
-9.7MiB live, 76.2MiB allocated
Compiler

Compiled 12 990 to 1 845 computations (85.8% saved)

prune24.0ms (0.1%)

Memory
-0.0MiB live, 37.8MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New36515380
Fresh000
Picked101
Done000
Total36615381
Accuracy
100.0%
Counts
381 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.6%
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) x)
84.6%
(-.f64 x (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) #s(literal -1 binary64))))
62.3%
(-.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))
69.1%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
31.7%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
74.3%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
11.4%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t))
63.1%
(-.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))
88.6%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
78.5%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
84.7%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))))))
62.9%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z)))
89.5%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
26.9%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
89.0%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) #s(literal 1 binary64))))
Compiler

Compiled 586 to 480 computations (18.1% saved)

simplify443.0ms (2.7%)

Memory
23.2MiB live, 146.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z))))
cost-diff0
(/.f64 #s(literal -1 binary64) t)
cost-diff192
(+.f64 #s(literal -1 binary64) (exp.f64 z))
cost-diff192
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) x)
cost-diff0
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))
cost-diff0
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))))
cost-diff0
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)
cost-diff0
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t))
cost-diff0
#s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))
cost-diff0
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64)))
cost-diff0
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)
cost-diff0
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
cost-diff0
(*.f64 z y)
cost-diff0
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))
cost-diff0
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)
cost-diff0
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
cost-diff0
(/.f64 (expm1.f64 z) t)
cost-diff0
(*.f64 (/.f64 (expm1.f64 z) t) y)
cost-diff0
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))
cost-diff0
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038302
063294
1115258
2267258
3731257
42430257
08437249
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) y)
(/.f64 (expm1.f64 z) t)
(expm1.f64 z)
z
t
y
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))
(*.f64 z y)
z
y
t
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
x
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64)))
#s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))
#s(literal 1 binary64)
t
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t))
x
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))
(fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y)
(*.f64 z y)
z
y
#s(literal 1/2 binary64)
#s(literal 1 binary64)
t
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) x)
(/.f64 #s(literal -1 binary64) t)
#s(literal -1 binary64)
t
(log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z))))
(*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))
y
(+.f64 #s(literal -1 binary64) (exp.f64 z))
(exp.f64 z)
z
x
Outputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 y t) (expm1.f64 z))))
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 y t) (expm1.f64 z)))
(*.f64 (/.f64 (expm1.f64 z) t) y)
(*.f64 (/.f64 y t) (expm1.f64 z))
(/.f64 (expm1.f64 z) t)
(expm1.f64 z)
z
t
y
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))
(*.f64 z y)
z
y
t
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
x
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64)))
#s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))
#s(literal 1 binary64)
t
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))) t))
x
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))))
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))
(fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y)
(fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)
(*.f64 z y)
z
y
#s(literal 1/2 binary64)
#s(literal 1 binary64)
t
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(/.f64 #s(literal -1 binary64) t)
#s(literal -1 binary64)
t
(log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z))))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))
(*.f64 (expm1.f64 z) y)
y
(+.f64 #s(literal -1 binary64) (exp.f64 z))
(expm1.f64 z)
(exp.f64 z)
z
x

localize429.0ms (2.6%)

Memory
-6.3MiB live, 350.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(exp.f64 z)
accuracy0.021816259768442016
(log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z))))
accuracy0.5846088693340186
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) x)
accuracy38.780491157365056
(+.f64 #s(literal -1 binary64) (exp.f64 z))
accuracy0.04296875
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))
accuracy4.068906910071228
(/.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)
accuracy18.306278364173085
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))
accuracy35.775212934491464
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))))
accuracy0.00390625
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
accuracy4.068906910071228
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)
accuracy11.828566255431685
#s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))
accuracy35.775212934491464
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64)))
accuracy0
(*.f64 z y)
accuracy0.00390625
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
accuracy4.068906910071228
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)
accuracy25.870305982604727
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))
accuracy0.00390625
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
accuracy0.015625
(/.f64 (expm1.f64 z) t)
accuracy3.4902642300519786
(*.f64 (/.f64 (expm1.f64 z) t) y)
accuracy11.756169753384482
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))
Samples
272.0ms159×1valid
116.0ms64×2valid
7.0ms32×0valid
1.0ms5exit
Compiler

Compiled 546 to 69 computations (87.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 360.0ms
ival-log: 213.0ms (59.2% of total)
ival-exp: 56.0ms (15.6% of total)
adjust: 35.0ms (9.7% of total)
ival-mult: 18.0ms (5% of total)
ival-add: 10.0ms (2.8% of total)
ival-div: 9.0ms (2.5% of total)
ival-expm1: 7.0ms (1.9% of total)
ival-sub: 6.0ms (1.7% of total)
ival-log1p: 5.0ms (1.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series211.0ms (1.3%)

Memory
-15.5MiB live, 339.5MiB allocated
Counts
22 → 114
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) y)
(/.f64 (expm1.f64 z) t)
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))
(*.f64 z y)
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64)))
#s(approx (+ (- 1 y) (* y (exp z))) #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 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) x)
(+.f64 #s(literal -1 binary64) (exp.f64 z))
(/.f64 #s(literal -1 binary64) t)
(log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z))))
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))
(exp.f64 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)))
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)))
(* y (- (exp z) 1))
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1))
(* y z)
1
(+ 1 (* y (- (exp z) 1)))
(+ 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)))))))
(+ 1 (* y (* z (+ 1 (* 1/2 z)))))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t)))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))))
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))))
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y))))
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1)))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2)))))
(* y (- (+ (exp z) (/ 1 y)) 1))
(+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)))
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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)))))))
(+ 1 z)
(+ 1 (* z (+ 1 (* 1/2 z))))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (- (exp z) 1) t)
(log (- (+ 1 (* y (exp z))) y))
(- (+ 1 (* y (exp z))) y)
(- (exp z) 1)
(log (+ 1 (* y (- (exp z) 1))))
(* 1/2 (* y (pow z 2)))
(* (pow z 2) (+ (* 1/2 y) (/ y z)))
(* (pow z 2) (+ (* 1/2 y) (+ (/ 1 (pow z 2)) (/ y z))))
(exp z)
(* (pow z 2) (+ (* -1 (/ (- (* -1 y) (/ 1 z)) z)) (* 1/2 y)))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t)
(/ -1 t)
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
Calls

12 calls:

TimeVariablePointExpression
43.0ms
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) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- 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))) (+ (* (/ -1 t) (log (+ 1 (* y (+ -1 (exp z)))))) x) (+ -1 (exp z)) (/ -1 t) (log (+ 1 (* y (+ -1 (exp z))))) (+ (* (+ (* (* z y) 1/2) y) z) 1) (exp z))
41.0ms
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) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- 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))) (+ (* (/ -1 t) (log (+ 1 (* y (+ -1 (exp z)))))) x) (+ -1 (exp z)) (/ -1 t) (log (+ 1 (* y (+ -1 (exp z))))) (+ (* (+ (* (* z y) 1/2) y) z) 1) (exp z))
39.0ms
t
@inf
((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- 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))) (+ (* (/ -1 t) (log (+ 1 (* y (+ -1 (exp z)))))) x) (+ -1 (exp z)) (/ -1 t) (log (+ 1 (* y (+ -1 (exp z))))) (+ (* (+ (* (* z y) 1/2) y) z) 1) (exp z))
29.0ms
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) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- 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))) (+ (* (/ -1 t) (log (+ 1 (* y (+ -1 (exp z)))))) x) (+ -1 (exp z)) (/ -1 t) (log (+ 1 (* y (+ -1 (exp z))))) (+ (* (+ (* (* z y) 1/2) y) z) 1) (exp z))
24.0ms
x
@0
((- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (* (/ (- (exp z) 1) t) y) (/ (- (exp z) 1) t) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* z y) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (+ (- 1 y) (* y (exp z))) (- 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))) (+ (* (/ -1 t) (log (+ 1 (* y (+ -1 (exp z)))))) x) (+ -1 (exp z)) (/ -1 t) (log (+ 1 (* y (+ -1 (exp z))))) (+ (* (+ (* (* z y) 1/2) y) z) 1) (exp z))

simplify206.0ms (1.3%)

Memory
20.0MiB live, 217.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05152460
118142266
272242199
083141827
Stop Event
iter limit
node limit
Counts
114 → 112
Calls
Call 1
Inputs
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(- 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)))
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)))
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(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t))))
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(* y z)
1
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(+ 1 (* z (+ y (* 1/2 (* y z)))))
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(+ x (* z (+ (* -1 (/ y t)) (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)))))
(+ x (* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ (+ y (* -1 (pow y 2))) t)) (* -1/6 (/ (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) t)))))))
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)))))))
(+ 1 z)
(+ 1 (* z (+ 1 (* 1/2 z))))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (- (exp z) 1) t)
(log (- (+ 1 (* y (exp z))) y))
(- (+ 1 (* y (exp z))) y)
(- (exp z) 1)
(log (+ 1 (* y (- (exp z) 1))))
(* 1/2 (* y (pow z 2)))
(* (pow z 2) (+ (* 1/2 y) (/ y z)))
(* (pow z 2) (+ (* 1/2 y) (+ (/ 1 (pow z 2)) (/ y z))))
(exp z)
(* (pow z 2) (+ (* -1 (/ (- (* -1 y) (/ 1 z)) z)) (* 1/2 y)))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t)
(/ -1 t)
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) 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))
(* -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))
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)
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* 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)))
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x (neg.f64 x)))
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1)))
(neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) x (neg.f64 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 (/.f64 (fma.f64 y (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (neg.f64 (expm1.f64 z))) t) y x)
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal -1/3 binary64))) t) y (/.f64 (expm1.f64 z) (neg.f64 t))) y x)
(/ (* y (- (exp z) 1)) t)
(/.f64 (*.f64 (expm1.f64 z) y) t)
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t)))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) (expm1.f64 z)) t) y)
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t)))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) t) y (/.f64 (expm1.f64 z) t)) y)
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t)))
(*.f64 (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) y) #s(literal -1/4 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)))) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) t) y (/.f64 (expm1.f64 z) t)) y)
(* y (- (exp z) 1))
(*.f64 (expm1.f64 z) y)
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) (expm1.f64 z)) y)
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) y (expm1.f64 z)) y)
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 4 binary64)) y) #s(literal -1/4 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 (expm1.f64 z) #s(literal 3 binary64)))) y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) y (expm1.f64 z)) y)
(* y z)
(*.f64 z y)
1
#s(literal 1 binary64)
(+ 1 (* y (- (exp z) 1)))
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(+ x (* -1 (/ (* y (- (exp z) 1)) t)))
(fma.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t) x)
(+ x (* y (+ (* -1 (/ (- (exp z) 1) t)) (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)))))
(fma.f64 (/.f64 (fma.f64 y (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (neg.f64 (expm1.f64 z))) t) y x)
(+ 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)))))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) y) #s(literal -1/3 binary64))) t) y (/.f64 (expm1.f64 z) (neg.f64 t))) y x)
(+ 1 (* y (* z (+ 1 (* 1/2 z)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y #s(literal 1 binary64))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t)))
(-.f64 x (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(-.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t))
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y) t)) x) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t))
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))))
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y) t)) x) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (log.f64 y)) t)) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)))) t))
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)
(/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t)
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y) t)))
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))))
(+.f64 (+.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (/.f64 #s(literal 1/3 binary64) (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)))) t) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) t)) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) t) y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) y)) (/.f64 (log.f64 y) t))
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y))))
(+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1)))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2))))
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y)))
(- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (- (exp z) 1))) (* 1/3 (/ 1 (* (pow y 3) (pow (- (exp z) 1) 3))))))) (* 1/2 (/ 1 (* (pow y 2) (pow (- (exp z) 1) 2)))))
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) (/.f64 #s(literal -1/3 binary64) (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y) y)))
(* y (- (+ (exp z) (/ 1 y)) 1))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (expm1.f64 z)) y)
(+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)))
(-.f64 x (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t))
(- (+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))) (/ 1 (* t (* y (- (exp z) 1)))))
(-.f64 x (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t))
(- (+ x (+ (* -1 (/ (+ (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)))))
(+.f64 (-.f64 x (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (expm1.f64 z))) y) t))
(- (+ x (+ (* -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)))))))
(-.f64 (+.f64 (-.f64 x (/.f64 (+.f64 (log.f64 y) (log.f64 (expm1.f64 z))) t)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (expm1.f64 z))) y) t)) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (*.f64 (expm1.f64 z) y) #s(literal 3 binary64)) t)))
(* y (* z (+ 1 (* 1/2 z))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)
(* y (+ (* z (+ 1 (* 1/2 z))) (/ 1 y)))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y #s(literal 1 binary64))
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(-.f64 x (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t))
(- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))
(-.f64 x (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (-.f64 (log.f64 (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) y)))) 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)))
(-.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) y)) (/.f64 #s(literal 1 binary64) (expm1.f64 z))) y) t) x) (/.f64 (-.f64 (log1p.f64 (neg.f64 (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) 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)))
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(*.f64 (neg.f64 y) (neg.f64 (expm1.f64 z)))
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z
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rewrite259.0ms (1.6%)

Memory
11.2MiB live, 245.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038263
063257
1276220
22403220
08884212
Stop Event
iter limit
node limit
iter limit
Counts
22 → 474
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))
(*.f64 (/.f64 (expm1.f64 z) t) y)
(/.f64 (expm1.f64 z) t)
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))
(*.f64 z y)
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64)))
#s(approx (+ (- 1 y) (* y (exp z))) #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 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))) t)
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) x)
(+.f64 #s(literal -1 binary64) (exp.f64 z))
(/.f64 #s(literal -1 binary64) t)
(log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z))))
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))
(exp.f64 z)
Outputs
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(*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal -1 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal -1 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z)) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z)) #s(literal 1 binary64))) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z)) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 3 binary64)) #s(literal 1 binary64))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) (*.f64 z #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))
(fma.f64 z (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal -1 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)) z))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z))) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z)) #s(literal -1 binary64)))
(+.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z))
(*.f64 (exp.f64 z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 z))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 z) #s(literal 3 binary64)) (pow.f64 (sinh.f64 z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (cosh.f64 z) (cosh.f64 z) (-.f64 (pow.f64 (sinh.f64 z) #s(literal 2 binary64)) (*.f64 (cosh.f64 z) (sinh.f64 z))))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 z)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 z)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 z)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 z)))) #s(literal 4 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 z) #s(literal 3 binary64)) (pow.f64 (sinh.f64 z) #s(literal 3 binary64))) (fma.f64 (cosh.f64 z) (cosh.f64 z) (-.f64 (pow.f64 (sinh.f64 z) #s(literal 2 binary64)) (*.f64 (cosh.f64 z) (sinh.f64 z)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 z))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 z)))
(exp.f64 z)
(+.f64 (sinh.f64 z) (cosh.f64 z))
(+.f64 (cosh.f64 z) (sinh.f64 z))

eval165.0ms (1%)

Memory
-20.1MiB live, 104.3MiB allocated
Compiler

Compiled 19 457 to 2 517 computations (87.1% saved)

prune61.0ms (0.4%)

Memory
14.9MiB live, 54.1MiB allocated
Pruning

23 alts after pruning (20 fresh and 3 done)

PrunedKeptTotal
New57114585
Fresh4610
Picked235
Done000
Total57723600
Accuracy
100.0%
Counts
600 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x)
99.1%
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (/.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) (fma.f64 (exp.f64 z) (-.f64 (exp.f64 z) #s(literal -1 binary64)) #s(literal 1 binary64))))) x)
66.0%
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))))) x)
71.7%
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y #s(approx (+ -1 (exp z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)))) x)
78.5%
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) (/.f64 #s(literal -1 binary64) t) x)
84.6%
(-.f64 x (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) #s(literal -1 binary64))))
99.2%
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
69.1%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
20.4%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t))
74.3%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
11.4%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t))
63.1%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z y) z)) t))
88.6%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
78.5%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
84.7%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))))))
62.3%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))))))
78.5%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
78.5%
(-.f64 x (*.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (/.f64 #s(literal -1 binary64) t)))
88.6%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (expm1.f64 z) y)))))
89.5%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
77.9%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
71.4%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
26.9%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
Compiler

Compiled 856 to 698 computations (18.5% saved)

simplify196.0ms (1.2%)

Memory
-13.0MiB live, 145.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))))
cost-diff0
(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #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 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))))))
cost-diff0
(*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))))
cost-diff0
(log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64))))))
cost-diff0
(/.f64 #s(literal -1 binary64) t)
cost-diff192
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))))) x)
cost-diff0
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))
cost-diff0
(/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))
cost-diff0
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))
cost-diff0
#s(approx (/ (- (exp z) 1) t) (/.f64 z t))
cost-diff0
(*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)
cost-diff0
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))
cost-diff0
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
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)) t)
cost-diff0
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044367
073367
1130367
2311325
3860324
42680324
57096324
08364319
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
x
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(log1p.f64 (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)
(expm1.f64 z)
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)))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))
(*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)
#s(approx (/ (- (exp z) 1) t) (/.f64 z t))
(/.f64 z t)
z
t
y
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
x
(/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))
#s(literal 1 binary64)
(/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))
t
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))
(*.f64 z y)
z
y
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))))) x)
(/.f64 #s(literal -1 binary64) t)
#s(literal -1 binary64)
t
(log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64))))))
(*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))))
y
(+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64))))
#s(approx (exp z) (+.f64 z #s(literal 1 binary64)))
(+.f64 z #s(literal 1 binary64))
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 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))))))
x
(/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))))))
#s(literal 1 binary64)
(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))))
t
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)
#s(literal 1/2 binary64)
(*.f64 z y)
z
y
Outputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
x
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(log1p.f64 (*.f64 (expm1.f64 z) y))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(*.f64 (expm1.f64 z) y)
(*.f64 y (expm1.f64 z))
(expm1.f64 z)
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)))
x
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))
(*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)
#s(approx (/ (- (exp z) 1) t) (/.f64 z t))
(/.f64 z t)
z
t
y
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))
x
(/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)
#s(literal 1 binary64)
(/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))
(/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))
t
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))
(*.f64 z y)
(*.f64 y z)
z
y
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))))) x)
(-.f64 x (/.f64 (log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))) t))
(/.f64 #s(literal -1 binary64) t)
#s(literal -1 binary64)
t
(log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64))))))
(log1p.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y)))
(*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))))
(fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) y (neg.f64 y))
y
(+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64))))
(-.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64))
#s(approx (exp z) (+.f64 z #s(literal 1 binary64)))
#s(approx (exp z) (+.f64 #s(literal 1 binary64) z))
(+.f64 z #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) z)
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 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64)))) t))
x
(/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))))))
(/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64)))) t)
#s(literal 1 binary64)
(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))))
(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64)))))
t
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))))
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y)
(fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y)
#s(literal 1/2 binary64)
(*.f64 z y)
(*.f64 y z)
z
y

localize308.0ms (1.9%)

Memory
-5.2MiB live, 270.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.3271261189857797
(/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))))))
accuracy3.909388885239877
(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))))
accuracy18.306278364173085
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))
accuracy35.775212934491464
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))))
accuracy0.021816259768442016
(log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64))))))
accuracy0.5846088693340186
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))))) x)
accuracy21.272925368863564
#s(approx (exp z) (+.f64 z #s(literal 1 binary64)))
accuracy38.780491157365056
(+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64))))
accuracy0.00390625
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
accuracy0.3271261189857797
(/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))
accuracy3.909388885239877
(/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))
accuracy25.870305982604727
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))
accuracy0.00390625
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
accuracy3.4902642300519786
(*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)
accuracy11.756169753384482
#s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))
accuracy20.884807918691898
#s(approx (/ (- (exp z) 1) t) (/.f64 z t))
accuracy0
(expm1.f64 z)
accuracy0.00390625
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
accuracy0.021816259768442016
(log1p.f64 (*.f64 (expm1.f64 z) y))
accuracy4.068906910071228
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
Samples
241.0ms217×1valid
20.0ms33×0valid
7.0ms2valid
1.0ms5exit
Compiler

Compiled 656 to 84 computations (87.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 196.0ms
ival-log: 38.0ms (19.4% of total)
ival-sub: 36.0ms (18.4% of total)
adjust: 25.0ms (12.8% of total)
ival-add: 22.0ms (11.2% of total)
ival-exp: 21.0ms (10.7% of total)
ival-mult: 20.0ms (10.2% of total)
ival-div: 19.0ms (9.7% of total)
ival-log1p: 8.0ms (4.1% of total)
ival-expm1: 7.0ms (3.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series223.0ms (1.4%)

Memory
31.0MiB live, 268.7MiB allocated
Counts
24 → 136
Calls
Call 1
Inputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(log1p.f64 (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) 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 (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))
(*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)
#s(approx (/ (- (exp z) 1) t) (/.f64 z t))
(/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
(/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))))) x)
(/.f64 #s(literal -1 binary64) t)
(log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64))))))
(*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))))))
(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))))
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))))
(expm1.f64 z)
(+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64))))
#s(approx (exp z) (+.f64 z #s(literal 1 binary64)))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))
Outputs
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))
(- x (/ (log (+ 1 (* y (- (exp z) 1)))) t))
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
(- x (/ (log (- (+ 1 (* y (exp z))) y)) t))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
x
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)))))
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1)))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(+ x (* y (- (/ 1 t) (/ (exp z) t))))
(+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t))))
(+ x (* y (- (+ (* y (- (* -1/3 (/ (* y (pow (- (exp z) 1) 3)) t)) (* -1/2 (/ (pow (- (exp z) 1) 2) t)))) (/ 1 t)) (/ (exp z) t))))
(/ (* y (- (exp z) 1)) t)
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t)))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t)))
(* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* y (+ (* -1/4 (/ (* y (pow (- (exp z) 1) 4)) t)) (* 1/3 (/ (pow (- (exp z) 1) 3) t)))))) (/ (exp z) t)) (/ 1 t)))
(* y (- (exp z) 1))
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1))
(/ 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)
(+ 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)))))))
1
(+ 1 (* y (- (exp z) 1)))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t)))
(- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(- (+ x (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))
(- (+ x (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))) (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))))
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))) (/ 1/2 (* t (* (pow y 2) (pow (- (exp z) 1) 2)))))
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))))
(+ (log (- (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)))))
(/ t (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))))
(+ (* -1 (/ t (* y (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 2) (- (exp z) 1))))) (/ t (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y))))))
(- (+ (* -1 (/ (+ (* -1 (/ t (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 3) (pow (- (exp z) 1) 2)))) (* -1/2 (/ t (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 2) (pow (- (exp z) 1) 2))))) (pow y 2))) (/ t (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))))) (/ t (* y (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 2) (- (exp z) 1)))))
(- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ t (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 3) (pow (- (exp z) 1) 2)))) (* -1/2 (/ t (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 2) (pow (- (exp z) 1) 2))))) (* (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) (- (exp z) 1)))) (+ (* 1/3 (/ t (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 2) (pow (- (exp z) 1) 3)))) (* 1/2 (/ t (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 3) (pow (- (exp z) 1) 3)))))) (pow y 3))) (/ t (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))))) (+ (* -1 (/ t (* (pow y 2) (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 3) (pow (- (exp z) 1) 2))))) (+ (* -1/2 (/ t (* (pow y 2) (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 2) (pow (- (exp z) 1) 2))))) (/ t (* y (* (pow (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) 2) (- (exp z) 1)))))))
(+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)))
(- (+ x (* -1 (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t))) (/ 1 (* t (* y (- (exp z) 1)))))
(- (+ x (+ (* -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)))))
(- (+ x (+ (* -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)))))))
(* y (- (+ (exp z) (/ 1 y)) 1))
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (* -1 (- (exp z) 1))) t)))
(- x (+ (* -1 (/ (log (/ -1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (* -1 (- (exp z) 1))) t))))
(- (+ x (* -1 (/ (- (/ 1 (* t (- (exp z) 1))) (* 1/2 (/ 1 (* t (* y (pow (- (exp z) 1) 2)))))) y))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (* -1 (- (exp z) 1))) t)))
(- (+ x (* -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))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (* -1 (- (exp z) 1))) t)))
(/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (* -1 (- (exp z) 1))) t)))
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z
(* z (+ 1 (* 1/2 z)))
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(* z (+ 1 (* z (+ 1/2 (* z (+ 1/6 (* 1/24 z)))))))
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(/ (log (+ 1 (* y (- (exp z) 1)))) t)
(log (+ 1 (* y (- (exp z) 1))))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (- (exp z) 1) t)
(/ t (log (- (+ 1 (* y (exp z))) y)))
(log (- (+ 1 (* y (exp z))) y))
(- (exp z) 1)
(exp z)
(- (+ 1 (* y (exp z))) y)
(/ (- (* t x) (log (+ 1 (* y (- (exp z) 1))))) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t)
(/ -1 t)
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
Calls

12 calls:

TimeVariablePointExpression
62.0ms
t
@inf
((- x (/ (log (+ 1 (* (- (exp z) 1) y))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- 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 (/ 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)))) (+ (* (/ -1 t) (log (+ 1 (* y (+ -1 (exp z)))))) x) (/ -1 t) (log (+ 1 (* y (+ -1 (exp z))))) (* y (+ -1 (exp z))) (/ 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)))) (- (exp z) 1) (+ -1 (exp z)) (exp z) (+ (- 1 y) (* y (exp z))))
45.0ms
z
@inf
((- x (/ (log (+ 1 (* (- (exp z) 1) y))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- 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 (/ 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)))) (+ (* (/ -1 t) (log (+ 1 (* y (+ -1 (exp z)))))) x) (/ -1 t) (log (+ 1 (* y (+ -1 (exp z))))) (* y (+ -1 (exp z))) (/ 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)))) (- (exp z) 1) (+ -1 (exp z)) (exp z) (+ (- 1 y) (* y (exp z))))
44.0ms
z
@-inf
((- x (/ (log (+ 1 (* (- (exp z) 1) y))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- 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 (/ 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)))) (+ (* (/ -1 t) (log (+ 1 (* y (+ -1 (exp z)))))) x) (/ -1 t) (log (+ 1 (* y (+ -1 (exp z))))) (* y (+ -1 (exp z))) (/ 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)))) (- (exp z) 1) (+ -1 (exp z)) (exp z) (+ (- 1 y) (* y (exp z))))
24.0ms
t
@0
((- x (/ (log (+ 1 (* (- (exp z) 1) y))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- 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 (/ 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)))) (+ (* (/ -1 t) (log (+ 1 (* y (+ -1 (exp z)))))) x) (/ -1 t) (log (+ 1 (* y (+ -1 (exp z))))) (* y (+ -1 (exp z))) (/ 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)))) (- (exp z) 1) (+ -1 (exp z)) (exp z) (+ (- 1 y) (* y (exp z))))
22.0ms
t
@-inf
((- x (/ (log (+ 1 (* (- (exp z) 1) y))) t)) (/ (log (+ 1 (* (- (exp z) 1) y))) t) (log (+ 1 (* (- (exp z) 1) y))) (* (- (exp z) 1) y) (- 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 (/ 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)))) (+ (* (/ -1 t) (log (+ 1 (* y (+ -1 (exp z)))))) x) (/ -1 t) (log (+ 1 (* y (+ -1 (exp z))))) (* y (+ -1 (exp z))) (/ 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)))) (- (exp z) 1) (+ -1 (exp z)) (exp z) (+ (- 1 y) (* y (exp z))))

simplify158.0ms (1%)

Memory
-15.6MiB live, 296.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06853814
124193488
085332927
Stop Event
iter limit
node limit
Counts
136 → 134
Calls
Call 1
Inputs
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))
(- x (/ (log (+ 1 (* y (- (exp z) 1)))) t))
(* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))
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(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
x
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)))))
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1)))
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1
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(/.f64 (-.f64 (*.f64 t x) (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/.f64 (-.f64 (*.f64 t x) (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
(/ (+ (* -1 (log (+ 1 (* y (- (exp z) 1))))) (* t x)) t)
(/.f64 (-.f64 (*.f64 t x) (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
(/ -1 t)
(/.f64 #s(literal -1 binary64) t)
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))

rewrite220.0ms (1.3%)

Memory
-6.2MiB live, 325.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044315
073307
1331307
22825307
08388296
Stop Event
iter limit
node limit
iter limit
Counts
24 → 401
Calls
Call 1
Inputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(log1p.f64 (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) 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 (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))
(*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)
#s(approx (/ (- (exp z) 1) t) (/.f64 z t))
(/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
(/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))))) x)
(/.f64 #s(literal -1 binary64) t)
(log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64))))))
(*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))))))
(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))))
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64))))
(expm1.f64 z)
(+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64))))
#s(approx (exp z) (+.f64 z #s(literal 1 binary64)))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))
Outputs
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) (*.f64 x x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64))) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64)) (*.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64))) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64)))))
(fma.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (pow.f64 t #s(literal -1 binary64)) x)
(fma.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)
(fma.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (/.f64 #s(literal -1 binary64) t) x)
(-.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)) (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 3 binary64)) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x) (*.f64 x x))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)) x)
(+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
(*.f64 (pow.f64 t #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 t #s(literal -1 binary64)) (log1p.f64 (*.f64 y (expm1.f64 z))))
(*.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 #s(literal -1 binary64) t))
(*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (pow.f64 t #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z))))) (neg.f64 (neg.f64 t)))
(/.f64 (*.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) #s(literal 1 binary64)) t)
(/.f64 (neg.f64 (log1p.f64 (*.f64 y (expm1.f64 z)))) (neg.f64 t))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
(neg.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))
(exp.f64 (*.f64 (log.f64 (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))) #s(literal -1 binary64)))
(log.f64 (pow.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)) (pow.f64 t #s(literal -1 binary64))))
(log1p.f64 (*.f64 (neg.f64 (neg.f64 (expm1.f64 z))) y))
(log1p.f64 (neg.f64 (*.f64 (neg.f64 (expm1.f64 z)) y)))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 2 binary64))))))
(neg.f64 (log.f64 (/.f64 (fma.f64 (*.f64 y (expm1.f64 z)) (-.f64 (*.f64 y (expm1.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(-.f64 (log.f64 (-.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (*.f64 y (expm1.f64 z)) #s(literal 1 binary64))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 (expm1.f64 z)) y) #s(literal 3 binary64)))) (log1p.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (expm1.f64 z)) y)))))
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 2 binary64))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z))))))
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 (*.f64 y (expm1.f64 z)) (-.f64 (*.f64 y (expm1.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 2 binary64)))) (log1p.f64 (*.f64 (neg.f64 (expm1.f64 z)) y)))
(-.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 3 binary64))) (log.f64 (+.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z))))))
(-.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 3 binary64))) (log1p.f64 (*.f64 (*.f64 y (expm1.f64 z)) (-.f64 (*.f64 y (expm1.f64 z)) #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 2 binary64))))))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 (*.f64 y (expm1.f64 z)) (-.f64 (*.f64 y (expm1.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (log1p.f64 (neg.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 2 binary64)))) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z))) #s(literal -1 binary64))))
(+.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 3 binary64))) (log.f64 (pow.f64 (fma.f64 (*.f64 y (expm1.f64 z)) (-.f64 (*.f64 y (expm1.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (expm1.f64 z)) y)
(*.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z)))
(*.f64 (*.f64 y (expm1.f64 z)) #s(literal 1 binary64))
(*.f64 y (expm1.f64 z))
(*.f64 (expm1.f64 z) y)
(/.f64 (*.f64 (expm1.f64 (+.f64 z z)) 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 z))) (+.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 (neg.f64 y))
(fma.f64 y (exp.f64 z) (neg.f64 y))
(+.f64 (*.f64 (exp.f64 z) y) (neg.f64 y))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) x) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) x) (*.f64 x x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) x) (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.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 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.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 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) #s(literal 2 binary64))) (-.f64 x (neg.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) #s(literal 2 binary64))) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) #s(literal 2 binary64)) (*.f64 x (neg.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) #s(literal 3 binary64))) (fma.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) x) (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)) #s(literal 2 binary64)))))
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(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64)))) t) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64)))) t) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 t #s(literal 1 binary64)))
(*.f64 (pow.f64 t #s(literal 1 binary64)) (pow.f64 (pow.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 t #s(literal 1 binary64)) (pow.f64 (/.f64 (pow.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 t #s(literal 1 binary64)) (pow.f64 (pow.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 t #s(literal 1 binary64)) (pow.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64)))) #s(literal -1 binary64)) (pow.f64 t #s(literal 1 binary64)))
(*.f64 (pow.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64)))) #s(literal -1 binary64)) t)
(*.f64 (*.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64))))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 t #s(literal -1 binary64)) (pow.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64))))) #s(literal -1 binary64)))
(*.f64 (neg.f64 t) (pow.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (neg.f64 t) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64))))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 t) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64))))))
(*.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64))))))
(*.f64 t (/.f64 (pow.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 t (pow.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64)))) t) #s(literal -1 binary64))
(pow.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (pow.f64 t #s(literal 1 binary64)) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 t)) (neg.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64)))))))
(/.f64 (*.f64 t #s(literal 1 binary64)) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64)))))
(/.f64 (/.f64 (neg.f64 t) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64))))) #s(literal -1 binary64))
(/.f64 (neg.f64 t) (*.f64 (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64))))) #s(literal 1 binary64)))
(/.f64 (neg.f64 t) (neg.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64))))))
(/.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64)))) (neg.f64 t)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64)))) t))
(/.f64 t (*.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64)))))
(neg.f64 (/.f64 (neg.f64 t) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64)))) t)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64)))))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64)))))))
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64))))
(*.f64 (expm1.f64 (+.f64 z z)) (pow.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) (expm1.f64 (+.f64 z z))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) (expm1.f64 (*.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (expm1.f64 (+.f64 z z))) (neg.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64))))
(/.f64 (neg.f64 (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 (expm1.f64 (+.f64 z z)) (-.f64 (exp.f64 z) #s(literal -1 binary64)))
(/.f64 (expm1.f64 (+.f64 z z)) (+.f64 (exp.f64 z) #s(literal 1 binary64)))
(/.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) (fma.f64 (exp.f64 z) (exp.f64 z) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 z) #s(literal -1 binary64)))))
(/.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) (expm1.f64 (+.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) (expm1.f64 (*.f64 z #s(literal 3 binary64)))))
(fma.f64 (exp.f64 z) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (exp.f64 z) #s(literal -1 binary64))
(expm1.f64 z)
(-.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 (exp.f64 z) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64)))) (pow.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) #s(literal -1 binary64)))
(-.f64 (exp.f64 z) #s(literal 1 binary64))
(+.f64 (cosh.f64 z) (-.f64 (sinh.f64 z) #s(literal 1 binary64)))
(+.f64 (cosh.f64 z) (+.f64 (sinh.f64 z) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (exp.f64 z))
(+.f64 (exp.f64 z) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) (-.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) (-.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) (-.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) (-.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) (-.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) (-.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) (-.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))))
(/.f64 (+.f64 (pow.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))))))
(/.f64 (+.f64 (pow.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) (-.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) (-.f64 #s(literal 1 binary64) (pow.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) (-.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) #s(literal -1 binary64))))
(-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) #s(literal -1 binary64)) (/.f64 (pow.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)))))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) (-.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) (fma.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) (-.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(+.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)))
#s(approx (exp z) (+.f64 #s(literal 1 binary64) z))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y z) y) z #s(literal 1 binary64)))

eval214.0ms (1.3%)

Memory
-4.2MiB live, 151.8MiB allocated
Compiler

Compiled 16 683 to 2 089 computations (87.5% saved)

prune102.0ms (0.6%)

Memory
-0.4MiB live, 84.1MiB allocated
Pruning

26 alts after pruning (20 fresh and 6 done)

PrunedKeptTotal
New52011531
Fresh6915
Picked145
Done123
Total52826554
Accuracy
100.0%
Counts
554 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x)
99.1%
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (/.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) (fma.f64 (exp.f64 z) (-.f64 (exp.f64 z) #s(literal -1 binary64)) #s(literal 1 binary64))))) x)
66.0%
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))))) x)
78.5%
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) x)
84.6%
(-.f64 x (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) #s(literal -1 binary64))))
99.2%
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
71.7%
(-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) t))
69.1%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
11.4%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t))
63.1%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z y) z)) t))
88.6%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
78.5%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
99.1%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
69.1%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))))
78.5%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
73.9%
(-.f64 x (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))))
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 (-.f64 y (*.f64 y y)) z) t) y) (/.f64 t y)) z))))
90.7%
(-.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))))
88.6%
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 t (*.f64 (expm1.f64 z) y)))))
78.5%
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))
73.9%
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))))
73.9%
(-.f64 x (fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)))
89.5%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
77.9%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
71.4%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
26.9%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
Compiler

Compiled 933 to 759 computations (18.6% saved)

simplify186.0ms (1.1%)

Memory
6.5MiB live, 162.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))
cost-diff0
(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #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 y z #s(literal 1 binary64)))))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))))
cost-diff0
(*.f64 (expm1.f64 z) y)
cost-diff0
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
cost-diff0
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
cost-diff0
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
cost-diff0
(fabs.f64 (/.f64 #s(literal -1 binary64) t))
cost-diff0
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))))
cost-diff128
(fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))
cost-diff448
(*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))
cost-diff0
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))
cost-diff0
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)
cost-diff0
(fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))
cost-diff0
(-.f64 x (fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)))
cost-diff0
(log1p.f64 (*.f64 y (expm1.f64 z)))
cost-diff0
(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))
cost-diff0
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038359
063350
1117350
2284284
3764284
42495284
08468279
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
x
(/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))
#s(literal 1 binary64)
(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))
t
(log1p.f64 (*.f64 y (expm1.f64 z)))
(*.f64 y (expm1.f64 z))
y
(expm1.f64 z)
z
(-.f64 x (fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)))
x
(fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))
(*.f64 y z)
y
z
t
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))))
x
(*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))
(fabs.f64 (/.f64 #s(literal -1 binary64) t))
(/.f64 #s(literal -1 binary64) t)
#s(literal -1 binary64)
t
(fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))
(neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))
(*.f64 y z)
y
z
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)
(expm1.f64 z)
z
y
t
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))))
x
(/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))))
#s(literal 1 binary64)
(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))
t
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))
(fma.f64 y z #s(literal 1 binary64))
y
z
Outputs
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
x
(/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
#s(literal 1 binary64)
(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))
t
(log1p.f64 (*.f64 y (expm1.f64 z)))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(*.f64 y (expm1.f64 z))
(*.f64 (expm1.f64 z) y)
y
(expm1.f64 z)
z
(-.f64 x (fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)))
(-.f64 x (fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)))
x
(fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))
(fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))
(*.f64 y z)
(*.f64 z y)
y
z
t
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))))
(-.f64 x (fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)))
x
(*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))
(fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
(fabs.f64 (/.f64 #s(literal -1 binary64) t))
(/.f64 #s(literal 1 binary64) (fabs.f64 t))
(/.f64 #s(literal -1 binary64) t)
#s(literal -1 binary64)
t
(fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))
(fabs.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))
(neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))
(neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))
(*.f64 y z)
(*.f64 z y)
y
z
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
x
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)
(expm1.f64 z)
z
y
t
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #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 y z #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 y z #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 y z #s(literal 1 binary64))))
(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 y z #s(literal 1 binary64)))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))
(fma.f64 y z #s(literal 1 binary64))
(fma.f64 z y #s(literal 1 binary64))
y
z

localize340.0ms (2.1%)

Memory
15.6MiB live, 281.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.3271261189857797
(/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))))
accuracy3.909388885239877
(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))
accuracy13.4807635864803
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))
accuracy35.775212934491464
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))
accuracy0
(expm1.f64 z)
accuracy0.00390625
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
accuracy4.068906910071228
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
accuracy11.77385132828774
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
accuracy0
(fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))
accuracy0.0078125
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))))
accuracy4.190664429608113
(*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))
accuracy25.870305982604727
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))
accuracy0
(fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))
accuracy0.0078125
(-.f64 x (fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)))
accuracy4.068906910071228
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)
accuracy25.870305982604727
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))
accuracy0.00390625
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
accuracy0.021816259768442016
(log1p.f64 (*.f64 y (expm1.f64 z)))
accuracy0.3271261189857797
(/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))
accuracy3.909388885239877
(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))
Samples
289.0ms217×1valid
8.0ms33×0valid
6.0ms2valid
1.0ms5exit
Compiler

Compiled 669 to 74 computations (88.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 239.0ms
ival-exp: 63.0ms (26.3% of total)
ival-mult: 61.0ms (25.5% of total)
ival-log: 43.0ms (18% of total)
ival-div: 17.0ms (7.1% of total)
adjust: 14.0ms (5.9% of total)
ival-sub: 13.0ms (5.4% of total)
ival-fabs: 11.0ms (4.6% of total)
ival-expm1: 7.0ms (2.9% of total)
ival-add: 4.0ms (1.7% of total)
ival-log1p: 4.0ms (1.7% of total)
ival-neg: 2.0ms (0.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series199.0ms (1.2%)

Memory
21.9MiB live, 305.8MiB allocated
Counts
22 → 131
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(-.f64 x (fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)))
(fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))
(*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))
(fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))))
(fabs.f64 (/.f64 #s(literal -1 binary64) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)
(/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))))
(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))
(expm1.f64 z)
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))
Outputs
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))
(- x (/ (log (+ 1 (* y (- (exp z) 1)))) t))
(* -1 (fabs (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(- x (fabs (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(* -1 (* (fabs (neg (log (- (+ 1 (* y (exp z))) y)))) (fabs (/ -1 t))))
(- x (* (fabs (neg (log (- (+ 1 (* y (exp z))) y)))) (fabs (/ -1 t))))
(* -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) 1)))) (* t x)))))
(* x (+ 1 (* -1 (/ (fabs (/ (log (- (+ 1 (* y (exp z))) y)) t)) x))))
(* x (+ 1 (* -1 (/ (* (fabs (neg (log (- (+ 1 (* y (exp z))) y)))) (fabs (/ -1 t))) x))))
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1)))
(* -1 (* x (- (/ (fabs (/ (log (- (+ 1 (* y (exp z))) y)) t)) x) 1)))
(* -1 (* x (- (/ (* (fabs (neg (log (- (+ 1 (* y (exp z))) y)))) (fabs (/ -1 t))) x) 1)))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(/ (* 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)))
(+ 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))))
(/ 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)
(* 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))
(fabs (/ (log (- (+ 1 (* y (exp z))) y)) t))
(* (fabs (neg (log (- (+ 1 (* y (exp z))) y)))) (fabs (/ -1 t)))
(fabs (neg (log (- (+ 1 (* y (exp z))) y))))
1
(+ 1 (* y (- (exp z) 1)))
(/ (+ (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)))))
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(/ (+ (* z (- (* -1 (* z (+ (* -1/4 (/ (* t (pow (+ y (* -1 (pow y 2))) 2)) (pow y 3))) (* 1/6 (/ (* t (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (pow y 2)))))) (* 1/2 (/ (* t (+ y (* -1 (pow y 2)))) (pow y 2))))) (/ t y)) z)
(/ (+ (* z (- (* z (- (* -1 (* z (+ (* -1/2 (/ (* (+ y (* -1 (pow y 2))) (+ (* -1/4 (/ (* t (pow (+ y (* -1 (pow y 2))) 2)) (pow y 3))) (* 1/6 (/ (* t (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (pow y 2))))) y)) (+ (* -1/12 (/ (* t (* (+ y (* -1 (pow y 2))) (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (pow y 3))) (* 1/24 (/ (* t (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) (pow y 2))))))) (+ (* -1/4 (/ (* t (pow (+ y (* -1 (pow y 2))) 2)) (pow y 3))) (* 1/6 (/ (* t (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (pow y 2)))))) (* 1/2 (/ (* t (+ y (* -1 (pow y 2)))) (pow y 2))))) (/ t y)) z)
(* 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))))))))
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(* 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)))))))
(+ 1 (* y z))
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(/ (log (+ 1 (* y (- (exp z) 1)))) t)
(/ t (log (+ 1 (* y (- (exp z) 1)))))
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(/ (log (- (+ 1 (* y (exp z))) y)) t)
(log (- (+ 1 (* y (exp z))) y))
(/ t (log (- (+ 1 (* y (exp z))) y)))
(- (exp z) 1)
(- (+ 1 (* y (exp z))) y)
(/ (- (* t x) (log (+ 1 (* y (- (exp z) 1))))) t)
(fabs (/ -1 t))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))
Calls

12 calls:

TimeVariablePointExpression
91.0ms
z
@inf
((/ 1 (/ t (log (+ 1 (* y (- (exp z) 1)))))) (- x (/ 1 (/ t (log (+ 1 (* y (- (exp z) 1))))))) (/ t (log (+ 1 (* y (- (exp z) 1))))) (log (+ 1 (* y (- (exp z) 1)))) (- x (fabs (/ (log (+ (- 1 y) (* y (exp z)))) t))) (fabs (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (fabs (/ -1 t)) (fabs (neg (log (+ (- 1 y) (* y (exp z))))))) (fabs (neg (log (+ (- 1 y) (* y (exp z)))))) (- x (* (fabs (/ -1 t)) (fabs (neg (log (+ (- 1 y) (* y (exp z)))))))) (fabs (/ -1 t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (/ 1 (/ 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)))) (- (exp z) 1) (+ (- 1 y) (* y (exp z))))
22.0ms
t
@inf
((/ 1 (/ t (log (+ 1 (* y (- (exp z) 1)))))) (- x (/ 1 (/ t (log (+ 1 (* y (- (exp z) 1))))))) (/ t (log (+ 1 (* y (- (exp z) 1))))) (log (+ 1 (* y (- (exp z) 1)))) (- x (fabs (/ (log (+ (- 1 y) (* y (exp z)))) t))) (fabs (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (fabs (/ -1 t)) (fabs (neg (log (+ (- 1 y) (* y (exp z))))))) (fabs (neg (log (+ (- 1 y) (* y (exp z)))))) (- x (* (fabs (/ -1 t)) (fabs (neg (log (+ (- 1 y) (* y (exp z)))))))) (fabs (/ -1 t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (/ 1 (/ 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)))) (- (exp z) 1) (+ (- 1 y) (* y (exp z))))
22.0ms
t
@-inf
((/ 1 (/ t (log (+ 1 (* y (- (exp z) 1)))))) (- x (/ 1 (/ t (log (+ 1 (* y (- (exp z) 1))))))) (/ t (log (+ 1 (* y (- (exp z) 1))))) (log (+ 1 (* y (- (exp z) 1)))) (- x (fabs (/ (log (+ (- 1 y) (* y (exp z)))) t))) (fabs (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (fabs (/ -1 t)) (fabs (neg (log (+ (- 1 y) (* y (exp z))))))) (fabs (neg (log (+ (- 1 y) (* y (exp z)))))) (- x (* (fabs (/ -1 t)) (fabs (neg (log (+ (- 1 y) (* y (exp z)))))))) (fabs (/ -1 t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (/ 1 (/ 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)))) (- (exp z) 1) (+ (- 1 y) (* y (exp z))))
18.0ms
z
@-inf
((/ 1 (/ t (log (+ 1 (* y (- (exp z) 1)))))) (- x (/ 1 (/ t (log (+ 1 (* y (- (exp z) 1))))))) (/ t (log (+ 1 (* y (- (exp z) 1))))) (log (+ 1 (* y (- (exp z) 1)))) (- x (fabs (/ (log (+ (- 1 y) (* y (exp z)))) t))) (fabs (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (fabs (/ -1 t)) (fabs (neg (log (+ (- 1 y) (* y (exp z))))))) (fabs (neg (log (+ (- 1 y) (* y (exp z)))))) (- x (* (fabs (/ -1 t)) (fabs (neg (log (+ (- 1 y) (* y (exp z)))))))) (fabs (/ -1 t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (/ 1 (/ 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)))) (- (exp z) 1) (+ (- 1 y) (* y (exp z))))
18.0ms
t
@0
((/ 1 (/ t (log (+ 1 (* y (- (exp z) 1)))))) (- x (/ 1 (/ t (log (+ 1 (* y (- (exp z) 1))))))) (/ t (log (+ 1 (* y (- (exp z) 1))))) (log (+ 1 (* y (- (exp z) 1)))) (- x (fabs (/ (log (+ (- 1 y) (* y (exp z)))) t))) (fabs (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (fabs (/ -1 t)) (fabs (neg (log (+ (- 1 y) (* y (exp z))))))) (fabs (neg (log (+ (- 1 y) (* y (exp z)))))) (- x (* (fabs (/ -1 t)) (fabs (neg (log (+ (- 1 y) (* y (exp z)))))))) (fabs (/ -1 t)) (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/ (log (+ (- 1 y) (* y (exp z)))) t) (log (+ (- 1 y) (* y (exp z)))) (* (- (exp z) 1) y) (/ 1 (/ 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)))) (- (exp z) 1) (+ (- 1 y) (* y (exp z))))

simplify195.0ms (1.2%)

Memory
-21.0MiB live, 227.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06893827
123583508
087902927
Stop Event
iter limit
node limit
Counts
131 → 129
Calls
Call 1
Inputs
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))
(- x (/ (log (+ 1 (* y (- (exp z) 1)))) t))
(* -1 (fabs (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(- x (fabs (/ (log (- (+ 1 (* y (exp z))) y)) t)))
(* -1 (* (fabs (neg (log (- (+ 1 (* y (exp z))) y)))) (fabs (/ -1 t))))
(- x (* (fabs (neg (log (- (+ 1 (* y (exp z))) y)))) (fabs (/ -1 t))))
(* -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) 1)))) (* t x)))))
(* x (+ 1 (* -1 (/ (fabs (/ (log (- (+ 1 (* y (exp z))) y)) t)) x))))
(* x (+ 1 (* -1 (/ (* (fabs (neg (log (- (+ 1 (* y (exp z))) y)))) (fabs (/ -1 t))) x))))
(* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1)))
(* -1 (* x (- (/ (fabs (/ (log (- (+ 1 (* y (exp z))) y)) t)) x) 1)))
(* -1 (* x (- (/ (* (fabs (neg (log (- (+ 1 (* y (exp z))) y)))) (fabs (/ -1 t))) x) 1)))
(* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))
(/ (* 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)))
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(/ (+ (* z (- (* z (- (* -1 (* z (+ (* -1/2 (/ (* (+ y (* -1 (pow y 2))) (+ (* -1/4 (/ (* t (pow (+ y (* -1 (pow y 2))) 2)) (pow y 3))) (* 1/6 (/ (* t (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (pow y 2))))) y)) (+ (* -1/12 (/ (* t (* (+ y (* -1 (pow y 2))) (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (pow y 3))) (* 1/24 (/ (* t (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))))) (pow y 2))))))) (+ (* -1/4 (/ (* t (pow (+ y (* -1 (pow y 2))) 2)) (pow y 3))) (* 1/6 (/ (* t (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (pow y 2)))))) (* 1/2 (/ (* t (+ y (* -1 (pow y 2)))) (pow y 2))))) (/ t y)) z)
(/.f64 (fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 y) y y)) (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) t) y) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (fma.f64 (neg.f64 y) y y) #s(literal 2 binary64)) t)) (pow.f64 y #s(literal 3 binary64)))) y) (fma.f64 (*.f64 #s(literal -1/12 binary64) t) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (fma.f64 (neg.f64 y) y y)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1/24 binary64) y) (/.f64 (*.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y) t) y)))) z (fma.f64 (/.f64 #s(literal 1/6 binary64) y) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) t) y) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 (fma.f64 (neg.f64 y) y y) #s(literal 2 binary64)) t)) (pow.f64 y #s(literal 3 binary64)))))) z (*.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 y) y y) y) (/.f64 t y)) #s(literal -1/2 binary64))) z (/.f64 t y)) z)
(* y z)
(*.f64 z y)
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))))
(*.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) #s(literal 1/2 binary64) y) z)
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) z) (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) (*.f64 (fma.f64 (neg.f64 y) y y) #s(literal 1/2 binary64))) z y) z)
(* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ y (+ (* -6 (pow y 4)) (+ (* -4 (pow y 2)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))))) (* 1/6 (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -6 binary64) (fma.f64 (*.f64 y y) #s(literal -7 binary64) (*.f64 #s(literal 12 binary64) (pow.f64 y #s(literal 3 binary64))))) y)) z (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) y) y (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64) y)) #s(literal 1/6 binary64))) z (*.f64 (fma.f64 (neg.f64 y) y y) #s(literal 1/2 binary64))) z y) z)
(* z (+ y (* 1/2 (* y z))))
(*.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z)
(* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))
(*.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) y)) z y) z)
(* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 z y) (*.f64 #s(literal 1/6 binary64) y)) z (*.f64 #s(literal 1/2 binary64) y)) z y) z)
z
(* z (+ 1 (* 1/2 z)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)
(* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)
(* z (+ 1 (* z (+ 1/2 (* z (+ 1/6 (* 1/24 z)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) z #s(literal 1/6 binary64)) z #s(literal 1/2 binary64)) z #s(literal 1 binary64)) z)
(+ 1 (* y z))
(fma.f64 z y #s(literal 1 binary64))
(+ 1 (* z (+ y (* 1/2 (* y z)))))
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z #s(literal 1 binary64))
(+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) y)) z y) z #s(literal 1 binary64))
(/ (log (+ 1 (* y (- (exp z) 1)))) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/ t (log (+ 1 (* y (- (exp z) 1)))))
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))
(log (+ 1 (* y (- (exp z) 1))))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(log (- (+ 1 (* y (exp z))) y))
(log1p.f64 (*.f64 (expm1.f64 z) y))
(/ t (log (- (+ 1 (* y (exp z))) y)))
(/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))
(- (exp z) 1)
(expm1.f64 z)
(- (+ 1 (* y (exp z))) y)
(fma.f64 (expm1.f64 z) y #s(literal 1 binary64))
(/ (- (* t x) (log (+ 1 (* y (- (exp z) 1))))) t)
(/.f64 (-.f64 (*.f64 x t) (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
(fabs (/ -1 t))
(/.f64 #s(literal 1 binary64) (fabs.f64 t))
(/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)
(/.f64 (-.f64 (*.f64 x t) (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) 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))

rewrite145.0ms (0.9%)

Memory
18.8MiB live, 213.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038290
063271
1272271
22340268
09062253
Stop Event
iter limit
node limit
iter limit
Counts
22 → 635
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z)))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
(/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))
(log1p.f64 (*.f64 y (expm1.f64 z)))
(-.f64 x (fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)))
(fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))
(*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))
(fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))))
(fabs.f64 (/.f64 #s(literal -1 binary64) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
(/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t)
#s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y))
(*.f64 (expm1.f64 z) y)
(/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))))
(/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))
(log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64))))
(expm1.f64 z)
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))
Outputs
(*.f64 (neg.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 1/2 binary64))) (fabs.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 1/2 binary64))))
(*.f64 (fabs.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (/.f64 #s(literal -1 binary64) t))
(*.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) #s(literal 1 binary64)) (pow.f64 t #s(literal -1 binary64)))
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 t #s(literal -1 binary64)) (log1p.f64 (*.f64 (expm1.f64 z) y)))
(*.f64 (/.f64 #s(literal -1 binary64) t) (fabs.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) t) (fabs.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))))
(*.f64 (/.f64 #s(literal -1 binary64) t) (fabs.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))
(*.f64 (/.f64 #s(literal -1 binary64) t) (pow.f64 (pow.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))))
(*.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
(*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 1 binary64))
(*.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (pow.f64 t #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 1 binary64))
(pow.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))) #s(literal -1 binary64))
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 (expm1.f64 z) y)))) (fabs.f64 t))
(/.f64 (fabs.f64 (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)))) (fabs.f64 t))
(/.f64 (fabs.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) (fabs.f64 t))
(/.f64 (*.f64 #s(literal 1 binary64) (log1p.f64 (*.f64 (expm1.f64 z) y))) t)
(/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) #s(literal -1 binary64)))
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(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 t) (log1p.f64 (*.f64 (expm1.f64 z) y))))
(/.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 1 binary64))
(/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 (neg.f64 t) (log1p.f64 (*.f64 (expm1.f64 z) y)))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (*.f64 (expm1.f64 z) y))))
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(exp.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))
(+.f64 (cosh.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))) (sinh.f64 (log.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))
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(pow.f64 (/.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64)))) #s(literal -1 binary64))
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(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) #s(literal 3 binary64)))))
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (neg.f64 (log1p.f64 (*.f64 (expm1.f64 z) y))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x)
(fma.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t) x)
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(-.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 (exp.f64 z) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64)))) (pow.f64 (fma.f64 (exp.f64 z) (exp.f64 z) (+.f64 (exp.f64 z) #s(literal 1 binary64))) #s(literal -1 binary64)))
(-.f64 (exp.f64 z) #s(literal 1 binary64))
(+.f64 (cosh.f64 z) (-.f64 (sinh.f64 z) #s(literal 1 binary64)))
(+.f64 (cosh.f64 z) (+.f64 (sinh.f64 z) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (exp.f64 z))
(+.f64 (exp.f64 z) #s(literal -1 binary64))
#s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))

eval88.0ms (0.5%)

Memory
0.5MiB live, 183.8MiB allocated
Compiler

Compiled 17 623 to 2 466 computations (86% saved)

prune66.0ms (0.4%)

Memory
-23.8MiB live, 107.0MiB allocated
Pruning

33 alts after pruning (24 fresh and 9 done)

PrunedKeptTotal
New60913622
Fresh41115
Picked145
Done156
Total61533648
Accuracy
100.0%
Counts
648 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x)
99.1%
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (/.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) (fma.f64 (exp.f64 z) (-.f64 (exp.f64 z) #s(literal -1 binary64)) #s(literal 1 binary64))))) x)
69.1%
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) x)
78.5%
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) x)
45.4%
(-.f64 x (/.f64 (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (sqrt.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))))
42.0%
(-.f64 x (/.f64 (sqrt.f64 (*.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) (sqrt.f64 (neg.f64 t))))
73.0%
(-.f64 x (/.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (fabs.f64 t)))
99.2%
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
71.7%
(-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) t))
69.1%
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) t))
11.4%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t))
63.1%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z y) z)) t))
88.6%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)) t))
78.5%
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
99.1%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
69.1%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #s(literal 1 binary64)))))))
88.6%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)))))
78.5%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
63.1%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) #s(literal 1/2 binary64) y) z)))))
99.1%
(-.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) #s(literal -1 binary64)) t)))
73.9%
(-.f64 x (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))))
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 (-.f64 y (*.f64 y y)) z) t) y) (/.f64 t y)) z))))
90.7%
(-.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))))
61.4%
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 t #s(literal -1 binary64)) (neg.f64 t)))) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))))
78.5%
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
59.1%
(-.f64 x (*.f64 (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))))
46.4%
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (*.f64 (sqrt.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (sqrt.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))))
73.0%
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
73.9%
(-.f64 x (fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)))
89.5%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
77.9%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
71.4%
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
26.9%
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
Compiler

Compiled 1 897 to 829 computations (56.3% saved)

regimes172.0ms (1.1%)

Memory
19.2MiB live, 147.4MiB allocated
Counts
54 → 1
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
(-.f64 x (fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)))
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) (/.f64 #s(literal -1 binary64) t) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) x)
(-.f64 x (/.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (fabs.f64 t)))
(-.f64 x (*.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (/.f64 #s(literal -1 binary64) t)))
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
(-.f64 x (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z y) z)) t))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) #s(literal 1/2 binary64) y) z)))))
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 t #s(literal -1 binary64)) (neg.f64 t)))) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))))
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (*.f64 (sqrt.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (sqrt.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))))
(-.f64 x (*.f64 (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))))
(-.f64 x (/.f64 (sqrt.f64 (*.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) (sqrt.f64 (neg.f64 t))))
(-.f64 x (/.f64 (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (sqrt.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 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) (/.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) y) (/.f64 t y)) z))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x (/.f64 #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 (/.f64 #s(literal -1 binary64) t) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))))) x)
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (expm1.f64 z) y)))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 t (*.f64 (expm1.f64 z) y)))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) t))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #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))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y #s(approx (+ -1 (exp z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)))) x)
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) 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))))
#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 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 (expm1.f64 z) y)) x)
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) x)
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (*.f64 y (expm1.f64 z))))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (*.f64 (neg.f64 x) (-.f64 (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (*.f64 t x)) #s(literal 1 binary64))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (+.f64 (log.f64 y) (log.f64 (expm1.f64 z)))) t))
(-.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) #s(literal -1 binary64)) t)))
(-.f64 x (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (/.f64 (expm1.f64 (*.f64 z #s(literal 3 binary64))) (fma.f64 (exp.f64 z) (-.f64 (exp.f64 z) #s(literal -1 binary64)) #s(literal 1 binary64))))) x)
Outputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
Calls

9 calls:

49.0ms
z
31.0ms
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
15.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
14.0ms
t
14.0ms
y
Results
AccuracySegmentsBranch
99.2%1x
99.2%1y
99.2%1z
99.2%1t
99.2%1(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
99.2%1(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
99.2%1(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
99.2%1(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
99.2%1(exp.f64 z)
Compiler

Compiled 47 to 63 computations (-34% saved)

regimes170.0ms (1%)

Memory
9.2MiB live, 121.3MiB allocated
Counts
43 → 3
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
(-.f64 x (fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)))
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) (/.f64 #s(literal -1 binary64) t) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) x)
(-.f64 x (/.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (fabs.f64 t)))
(-.f64 x (*.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (/.f64 #s(literal -1 binary64) t)))
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
(-.f64 x (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z y) z)) t))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) #s(literal 1/2 binary64) y) z)))))
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 t #s(literal -1 binary64)) (neg.f64 t)))) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))))
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (*.f64 (sqrt.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (sqrt.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))))
(-.f64 x (*.f64 (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))))
(-.f64 x (/.f64 (sqrt.f64 (*.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) (sqrt.f64 (neg.f64 t))))
(-.f64 x (/.f64 (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (sqrt.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 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) (/.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) y) (/.f64 t y)) z))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x (/.f64 #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 (/.f64 #s(literal -1 binary64) t) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))))) x)
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (expm1.f64 z) y)))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 t (*.f64 (expm1.f64 z) y)))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) t))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #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))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y #s(approx (+ -1 (exp z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)))) x)
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) 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))))
#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))
Outputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) 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))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (*.f64 (expm1.f64 z) y))) t))
Calls

9 calls:

43.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
40.0ms
y
23.0ms
(exp.f64 z)
11.0ms
t
11.0ms
x
Results
AccuracySegmentsBranch
90.7%1x
95.0%3y
94.5%2z
92.9%2t
94.9%3(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
98.8%5(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
99.3%3(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
99.3%3(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
94.5%2(exp.f64 z)
Compiler

Compiled 47 to 63 computations (-34% saved)

regimes38.0ms (0.2%)

Memory
-20.3MiB live, 24.8MiB allocated
Counts
42 → 3
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
(-.f64 x (fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)))
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) (/.f64 #s(literal -1 binary64) t) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) x)
(-.f64 x (/.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (fabs.f64 t)))
(-.f64 x (*.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (/.f64 #s(literal -1 binary64) t)))
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
(-.f64 x (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z y) z)) t))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) #s(literal 1/2 binary64) y) z)))))
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 t #s(literal -1 binary64)) (neg.f64 t)))) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))))
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (*.f64 (sqrt.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (sqrt.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))))
(-.f64 x (*.f64 (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))))
(-.f64 x (/.f64 (sqrt.f64 (*.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) (sqrt.f64 (neg.f64 t))))
(-.f64 x (/.f64 (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (sqrt.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 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) (/.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) y) (/.f64 t y)) z))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x (/.f64 #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 (/.f64 #s(literal -1 binary64) t) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))))) x)
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (expm1.f64 z) y)))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 t (*.f64 (expm1.f64 z) y)))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) t))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #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))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y #s(approx (+ -1 (exp z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)))) x)
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) 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))))
#s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
Outputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) 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)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))
Calls

2 calls:

27.0ms
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
9.0ms
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
Results
AccuracySegmentsBranch
96.8%3(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
96.8%3(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
Compiler

Compiled 17 to 19 computations (-11.8% saved)

regimes36.0ms (0.2%)

Memory
2.3MiB live, 41.7MiB allocated
Counts
41 → 2
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
(-.f64 x (fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)))
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) (/.f64 #s(literal -1 binary64) t) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) x)
(-.f64 x (/.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (fabs.f64 t)))
(-.f64 x (*.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (/.f64 #s(literal -1 binary64) t)))
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
(-.f64 x (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z y) z)) t))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) #s(literal 1/2 binary64) y) z)))))
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 t #s(literal -1 binary64)) (neg.f64 t)))) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))))
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (*.f64 (sqrt.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (sqrt.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))))
(-.f64 x (*.f64 (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))))
(-.f64 x (/.f64 (sqrt.f64 (*.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) (sqrt.f64 (neg.f64 t))))
(-.f64 x (/.f64 (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (sqrt.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 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) (/.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) y) (/.f64 t y)) z))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x (/.f64 #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 (/.f64 #s(literal -1 binary64) t) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))))) x)
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (expm1.f64 z) y)))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 t (*.f64 (expm1.f64 z) y)))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) t))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #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))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y #s(approx (+ -1 (exp z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)))) x)
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) 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))))
Outputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) 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))))
Calls

2 calls:

25.0ms
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
9.0ms
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
Results
AccuracySegmentsBranch
94.9%2(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
94.9%2(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
Compiler

Compiled 17 to 19 computations (-11.8% saved)

regimes241.0ms (1.5%)

Memory
-2.4MiB live, 115.2MiB allocated
Counts
40 → 2
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
(-.f64 x (fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)))
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) (/.f64 #s(literal -1 binary64) t) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) x)
(-.f64 x (/.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (fabs.f64 t)))
(-.f64 x (*.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (/.f64 #s(literal -1 binary64) t)))
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
(-.f64 x (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z y) z)) t))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) #s(literal 1/2 binary64) y) z)))))
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 t #s(literal -1 binary64)) (neg.f64 t)))) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))))
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (*.f64 (sqrt.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (sqrt.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))))
(-.f64 x (*.f64 (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))))
(-.f64 x (/.f64 (sqrt.f64 (*.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) (sqrt.f64 (neg.f64 t))))
(-.f64 x (/.f64 (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (sqrt.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 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) (/.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) y) (/.f64 t y)) z))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x (/.f64 #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 (/.f64 #s(literal -1 binary64) t) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))))) x)
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (expm1.f64 z) y)))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 t (*.f64 (expm1.f64 z) y)))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) t))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 y z #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))
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y #s(approx (+ -1 (exp z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)))) x)
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 z y) y) z #s(literal 1 binary64)))))))
Outputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
Calls

8 calls:

107.0ms
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
23.0ms
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
11.0ms
t
11.0ms
y
10.0ms
z
Results
AccuracySegmentsBranch
91.2%2t
91.4%2(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
91.6%2y
91.4%2(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
92.4%2z
92.4%2(exp.f64 z)
92.8%2(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
92.8%2(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
Compiler

Compiled 46 to 59 computations (-28.3% saved)

regimes162.0ms (1%)

Memory
4.3MiB live, 165.6MiB allocated
Counts
35 → 2
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
(-.f64 x (fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)))
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) (/.f64 #s(literal -1 binary64) t) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) x)
(-.f64 x (/.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (fabs.f64 t)))
(-.f64 x (*.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (/.f64 #s(literal -1 binary64) t)))
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
(-.f64 x (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z y) z)) t))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) #s(literal 1/2 binary64) y) z)))))
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 t #s(literal -1 binary64)) (neg.f64 t)))) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))))
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (*.f64 (sqrt.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (sqrt.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))))
(-.f64 x (*.f64 (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))))
(-.f64 x (/.f64 (sqrt.f64 (*.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) (sqrt.f64 (neg.f64 t))))
(-.f64 x (/.f64 (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (sqrt.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 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) (/.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) y) (/.f64 t y)) z))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
(-.f64 x (/.f64 #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 (/.f64 #s(literal -1 binary64) t) (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) (fma.f64 z y #s(literal 1 binary64)))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) #s(approx (exp z) (+.f64 z #s(literal 1 binary64)))))) x)
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (expm1.f64 z) y)))))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ t (log (+ (- 1 y) (* y (exp z))))) (/.f64 t (*.f64 (expm1.f64 z) y)))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (expm1.f64 z) y)))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(approx (+ (* (+ (* (* z y) 1/2) y) z) 1) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z) y)))) t))
Outputs
(-.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 y (*.f64 y y)) z) t) y) (/.f64 t y)) z))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y)))
Calls

9 calls:

56.0ms
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
21.0ms
x
21.0ms
(exp.f64 z)
19.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
9.0ms
y
Results
AccuracySegmentsBranch
91.2%2t
89.5%1(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
89.5%1(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
89.5%1y
89.5%1x
89.5%1z
89.5%1(exp.f64 z)
89.5%1(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
89.5%1(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
Compiler

Compiled 47 to 63 computations (-34% saved)

regimes135.0ms (0.8%)

Memory
12.7MiB live, 126.7MiB allocated
Counts
26 → 2
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
(-.f64 x (fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)))
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) (/.f64 #s(literal -1 binary64) t) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) x)
(-.f64 x (/.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (fabs.f64 t)))
(-.f64 x (*.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (/.f64 #s(literal -1 binary64) t)))
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
(-.f64 x (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z y) z)) t))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) #s(literal 1/2 binary64) y) z)))))
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 t #s(literal -1 binary64)) (neg.f64 t)))) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))))
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (*.f64 (sqrt.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (sqrt.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))))
(-.f64 x (*.f64 (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))))
(-.f64 x (/.f64 (sqrt.f64 (*.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) (sqrt.f64 (neg.f64 t))))
(-.f64 x (/.f64 (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (sqrt.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 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) (/.f64 (*.f64 (*.f64 (-.f64 y (*.f64 y y)) z) t) y) (/.f64 t y)) z))))
(-.f64 x (/.f64 (log.f64 #s(approx (+ (- 1 y) (* y (exp z))) #s(literal 1 binary64))) t))
Outputs
(-.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 y (*.f64 y y)) z) t) y) (/.f64 t y)) z))))
(-.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:

49.0ms
y
24.0ms
z
21.0ms
t
7.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
7.0ms
x
Results
AccuracySegmentsBranch
84.1%1x
87.3%2z
84.1%1(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
86.9%2(exp.f64 z)
84.1%1y
84.1%1(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
86.9%2(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
86.9%2(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
84.1%1t
Compiler

Compiled 47 to 63 computations (-34% saved)

regimes68.0ms (0.4%)

Memory
-13.6MiB live, 105.5MiB allocated
Counts
24 → 1
Calls
Call 1
Inputs
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
(-.f64 x (fabs.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t)))
(fma.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) (/.f64 #s(literal -1 binary64) t) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) x)
(-.f64 x (/.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (fabs.f64 t)))
(-.f64 x (*.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (/.f64 #s(literal -1 binary64) t)))
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)))))
(-.f64 x (*.f64 (/.f64 #s(literal -1 binary64) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) t) z)) y)))
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)))))
(-.f64 x (/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) t) z)))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) z) (-.f64 y (*.f64 y y)) y) z)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 (fma.f64 (*.f64 (-.f64 y (*.f64 y y)) #s(literal 1/2 binary64)) z y) z)) t))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t #s(approx (log (+ 1 (* y (- (exp z) 1)))) (*.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 y) y y) z) #s(literal 1/2 binary64) y) z)))))
(-.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (*.f64 t #s(literal -1 binary64)) (neg.f64 t)))) (fabs.f64 (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z))))))
(-.f64 x (*.f64 (fabs.f64 (/.f64 #s(literal -1 binary64) t)) (*.f64 (sqrt.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))) (sqrt.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))))
(-.f64 x (*.f64 (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))))
(-.f64 x (/.f64 (sqrt.f64 (*.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t) (neg.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))) (sqrt.f64 (neg.f64 t))))
(-.f64 x (/.f64 (sqrt.f64 (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t)) (sqrt.f64 (/.f64 t #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y))))))
Outputs
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
Calls

9 calls:

14.0ms
z
9.0ms
x
9.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
7.0ms
y
7.0ms
t
Results
AccuracySegmentsBranch
78.5%1x
78.5%1y
78.5%1t
78.5%1(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
78.5%1(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
78.5%1(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
78.5%1(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
78.5%1(exp.f64 z)
78.5%1z
Compiler

Compiled 47 to 63 computations (-34% saved)

regimes12.0ms (0.1%)

Memory
-0.1MiB live, 39.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2.0ms
t
1.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
1.0ms
y
1.0ms
x
1.0ms
z
Results
AccuracySegmentsBranch
77.9%1(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
77.9%1z
77.9%1t
77.9%1x
77.9%1(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
77.9%1(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
77.9%1y
77.9%1(exp.f64 z)
77.9%1(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
Compiler

Compiled 47 to 63 computations (-34% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0
4.6650822593691945
0.0ms
0.0
0.9999999999011959
Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.3663841903402214e+154
2.794720723681421e+155
0.0ms
0.0
0.9999999999011959
Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
0.9999999999011959
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
0.9999999999011959
Compiler

Compiled 16 to 19 computations (-18.8% saved)

bsearch34.0ms (0.2%)

Memory
-18.4MiB live, 67.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
32.0ms
-1.3957473219678812e-40
-3.0517385279890006e-41
Samples
22.0ms59×1valid
6.0ms37×0valid
Compiler

Compiled 352 to 277 computations (21.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-log: 7.0ms (29.2% of total)
ival-exp: 5.0ms (20.9% of total)
ival-add: 4.0ms (16.7% of total)
ival-div: 3.0ms (12.5% of total)
ival-sub: 2.0ms (8.4% of total)
adjust: 2.0ms (8.4% of total)
ival-mult: 1.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch76.0ms (0.5%)

Memory
25.3MiB live, 103.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
73.0ms
-7.475778958675026e-34
-2.879601609122589e-41
Samples
56.0ms98×1valid
5.0ms19×1invalid
4.0ms46×0valid
Compiler

Compiled 574 to 424 computations (26.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-sub: 20.0ms (34.1% of total)
ival-log: 19.0ms (32.4% of total)
ival-exp: 11.0ms (18.7% of total)
adjust: 3.0ms (5.1% of total)
ival-div: 2.0ms (3.4% of total)
ival-mult: 2.0ms (3.4% of total)
ival-add: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify82.0ms (0.5%)

Memory
-21.1MiB live, 99.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090457
1131457
2194457
3276457
4484457
5818457
61097457
71244457
81377457
91443457
101475457
111501457
121525457
131533457
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) t)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 4 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)) (-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) t)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672 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)))) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) 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)))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))))
(if (<=.f64 t #s(literal -7454058310771683/196159429230833773869868419475239575503198607639501078528 binary64)) (-.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 y (*.f64 y y)) z) t) y) (/.f64 t y)) z)))) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))))
(if (<=.f64 z #s(literal -1915619426082361/11972621413014756705924586149611790497021399392059392 binary64)) (-.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 y (*.f64 y y)) z) t) y) (/.f64 t y)) z)))) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.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)))
Outputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) t)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 4 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 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) t)) (if (<=.f64 (+.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 4 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 y (expm1.f64 z)))) t))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) t)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672 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)))) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 (expm1.f64 z) y)) (neg.f64 t)))))
(if (<=.f64 (+.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) t)) (if (<=.f64 (+.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672 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)))) #s(approx (- x (/ (log (+ (- 1 y) (* y (exp z)))) t)) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 t)))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) 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)))))
(if (<=.f64 (+.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) 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)))))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))))
(if (<=.f64 (+.f64 (*.f64 (exp.f64 z) y) (-.f64 #s(literal 1 binary64) y)) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 (*.f64 #s(approx (- (exp z) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal 1 binary64)) z)) y)) t)) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))))
(if (<=.f64 t #s(literal -7454058310771683/196159429230833773869868419475239575503198607639501078528 binary64)) (-.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 y (*.f64 y y)) z) t) y) (/.f64 t y)) z)))) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 (/.f64 (expm1.f64 z) t) y))))
(if (<=.f64 z #s(literal -1915619426082361/11972621413014756705924586149611790497021399392059392 binary64)) (-.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 y (*.f64 y y)) z) t) y) (/.f64 t y)) z)))) (-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y))))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 z y)) t))
(-.f64 x (/.f64 #s(approx (log (+ (- 1 y) (* y (exp z)))) (*.f64 y z)) t))
(-.f64 x #s(approx (/ (log (+ (- 1 y) (* y (exp z)))) t) (*.f64 #s(approx (/ (- (exp z) 1) t) (/.f64 z t)) y)))

soundness1.0s (6.2%)

Memory
11.3MiB live, 767.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06853814
124193488
085332927
01245
01945
17945
267545
0844938
03351589
111361462
245241410
083801175
05152460
118142266
272242199
083141827
038263
063257
1276220
22403220
08884212
Stop Event
fuel
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 890 to 436 computations (51% saved)

preprocess163.0ms (1%)

Memory
7.7MiB live, 161.0MiB allocated
Compiler

Compiled 1 022 to 256 computations (75% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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