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

Time bar (total: 19.7s)

analyze359.0ms (1.8%)

Memory
22.0MiB live, 513.4MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
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)

sample6.6s (33.3%)

Memory
31.0MiB live, 6 309.7MiB allocated
Samples
2.5s4 572×1valid
1.2s1 186×5exit
715.0ms3 684×0valid
512.0ms713×1invalid
236.0ms1 752×0invalid
201.0ms394×4exit
Precisions
Click to see histograms. Total time spent on operations: 4.5s
ival-log: 1.9s (42.7% of total)
ival-exp: 1.1s (23.6% of total)
ival-sub: 588.0ms (13.2% of total)
ival-mult: 315.0ms (7.1% of total)
adjust: 251.0ms (5.6% of total)
ival-div: 202.0ms (4.5% of total)
ival-add: 121.0ms (2.7% of total)
exact: 11.0ms (0.2% of total)
ival-true: 10.0ms (0.2% of total)
ival-assert: 5.0ms (0.1% of total)
Bogosity

preprocess259.0ms (1.3%)

Memory
22.7MiB live, 99.8MiB allocated
Algorithm
2×egg-herbie
Rules
876×sub-neg
644×unsub-neg
626×distribute-lft-neg-in
626×times-frac
596×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068207
1150199
2393197
3986197
42700197
54823197
65510197
75766197
85969197
96102197
106174197
116626197
126770197
136782197
146792197
156792197
166792197
176792197
01213
12213
24713
38613
418113
534513
651213
757713
864413
969613
1082413
1189313
1290013
1390113
09019
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(- x (/ (log (+ (- 1 y) (* y (exp z)))) t))
Outputs
(- x (/ (log (+ (- 1 y) (* y (exp z)))) t))
(-.f64 x (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t))
Call 2
Inputs
(- x (/ (log (+ (- 1 y) (* y (exp z)))) t))
(- (neg x) (/ (log (+ (- 1 y) (* y (exp z)))) t))
(- x (/ (log (+ (- 1 (neg y)) (* (neg y) (exp z)))) t))
(- x (/ (log (+ (- 1 y) (* y (exp (neg z))))) t))
(- x (/ (log (+ (- 1 y) (* y (exp z)))) (neg t)))
(neg (- (neg x) (/ (log (+ (- 1 y) (* y (exp z)))) t)))
(neg (- x (/ (log (+ (- 1 (neg y)) (* (neg y) (exp z)))) t)))
(neg (- x (/ (log (+ (- 1 y) (* y (exp (neg z))))) t)))
(neg (- x (/ (log (+ (- 1 y) (* y (exp z)))) (neg t))))
(- y (/ (log (+ (- 1 x) (* x (exp z)))) t))
(- z (/ (log (+ (- 1 y) (* y (exp x)))) t))
(- t (/ (log (+ (- 1 y) (* y (exp z)))) x))
(- x (/ (log (+ (- 1 z) (* z (exp y)))) t))
(- x (/ (log (+ (- 1 t) (* t (exp z)))) y))
(- x (/ (log (+ (- 1 y) (* y (exp t)))) z))
Outputs
(- x (/ (log (+ (- 1 y) (* y (exp z)))) t))
(- (neg x) (/ (log (+ (- 1 y) (* y (exp z)))) t))
(- x (/ (log (+ (- 1 (neg y)) (* (neg y) (exp z)))) t))
(- x (/ (log (- (+ 1 y) (* y (exp z)))) t))
(- x (/ (log (+ (- 1 y) (* y (exp (neg z))))) t))
(- x (/ (log (+ 1 (- (/ y (exp z)) y))) t))
(- x (/ (log (+ (- 1 y) (* y (exp z)))) (neg t)))
(+ x (/ (log (+ (- 1 y) (* y (exp z)))) t))
(neg (- (neg x) (/ (log (+ (- 1 y) (* y (exp z)))) t)))
(+ x (/ (log (+ (- 1 y) (* y (exp z)))) t))
(neg (- x (/ (log (+ (- 1 (neg y)) (* (neg y) (exp z)))) t)))
(- (/ (log (- (+ 1 y) (* y (exp z)))) t) x)
(neg (- x (/ (log (+ (- 1 y) (* y (exp (neg z))))) t)))
(- (/ (log (+ 1 (- (/ y (exp z)) y))) t) x)
(neg (- x (/ (log (+ (- 1 y) (* y (exp z)))) (neg t))))
(- (neg x) (/ (log (+ (- 1 y) (* y (exp z)))) t))
(- y (/ (log (+ (- 1 x) (* x (exp z)))) t))
(- z (/ (log (+ (- 1 y) (* y (exp x)))) t))
(- t (/ (log (+ (- 1 y) (* y (exp z)))) x))
(- x (/ (log (+ (- 1 z) (* z (exp y)))) t))
(- x (/ (log (+ 1 (* z (+ (exp y) -1)))) t))
(- x (/ (log (+ (- 1 t) (* t (exp z)))) y))
(- x (/ (log (+ (- 1 t) (* (exp z) t))) y))
(- x (/ (log (+ (- 1 y) (* y (exp t)))) z))
(- x (/ (log (+ 1 (* y (+ -1 (exp t))))) z))

explain2.2s (11.1%)

Memory
-16.4MiB live, 507.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
16143(-2.630161328865336e-29 -4.2344562561471485e-147 2.9281950856101466e-196 -4.4630043171632277e+27)0-(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
653(40918222776895.516 -1781867280367.3867 9.74993055286348e-100 8.055819861902914e+152)0-(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
100-0-(/.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))))sensitivity2010
+.f64(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))cancellation300
/.f64(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)u/n30
↳(exp.f64 z)underflow75
↳(*.f64 y (exp.f64 z))underflow75
↳(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))underflow43
log.f64(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))oflow-rescue30
↳(exp.f64 z)overflow3
↳(*.f64 y (exp.f64 z))overflow3
↳(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))overflow3
Confusion
Predicted +Predicted -
+9211
-12924
Precision
0.416289592760181
Recall
0.8932038834951457
Confusion?
Predicted +Predicted MaybePredicted -
+92011
-129024
Precision?
0.416289592760181
Recall?
0.8932038834951457
Freqs
test
numberfreq
035
1205
216
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
115.0ms344×1valid
51.0ms108×2valid
8.0ms60×0valid
Compiler

Compiled 148 to 52 computations (64.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 142.0ms
ival-log: 61.0ms (43% of total)
ival-exp: 35.0ms (24.7% of total)
ival-sub: 12.0ms (8.5% of total)
adjust: 10.0ms (7.1% of total)
ival-mult: 9.0ms (6.4% of total)
ival-div: 8.0ms (5.6% of total)
ival-add: 5.0ms (3.5% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶61.7%
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify42.0ms (0.2%)

Memory
16.0MiB live, 52.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
✓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-diff384
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
Rules
544×accelerator-lowering-fma.f32
544×accelerator-lowering-fma.f64
272×*-lowering-*.f32
272×*-lowering-*.f64
176×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01255
12255
24755
38655
418155
534555
651255
757755
864455
969655
1082455
1189355
1290055
1390155
090140
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- x (/ (log (+ (- 1 y) (* y (exp z)))) t))
x
(/ (log (+ (- 1 y) (* y (exp z)))) t)
(log (+ (- 1 y) (* y (exp z))))
(+ (- 1 y) (* y (exp z)))
(- 1 y)
1
y
(* y (exp z))
(exp z)
z
t
Outputs
(- x (/ (log (+ (- 1 y) (* y (exp z)))) t))
(-.f64 x (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t))
x
(/ (log (+ (- 1 y) (* y (exp z)))) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(log (+ (- 1 y) (* y (exp z))))
(log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))
(+ (- 1 y) (* y (exp z)))
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(* y (exp z))
(fma.f64 y (exp.f64 z) #s(literal 0 binary64))
(exp z)
(exp.f64 z)
z
t

localize142.0ms (0.7%)

Memory
-17.7MiB live, 190.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 y (exp.f64 z))
✓accuracy96.7%
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
✓accuracy76.0%
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
✓accuracy42.1%
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
Samples
97.0ms172×1valid
25.0ms54×2valid
4.0ms30×0valid
Compiler

Compiled 57 to 14 computations (75.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 108.0ms
ival-add: 39.0ms (36.1% of total)
ival-log: 30.0ms (27.7% of total)
ival-exp: 16.0ms (14.8% of total)
ival-sub: 8.0ms (7.4% of total)
ival-div: 7.0ms (6.5% of total)
adjust: 6.0ms (5.5% of total)
ival-mult: 3.0ms (2.8% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series97.0ms (0.5%)

Memory
-11.6MiB live, 140.0MiB allocated
Counts
5 → 156
Calls
Call 1
Inputs
#<alt (+ (- 1 y) (* y (exp z)))>
#<alt (- x (/ (log (+ (- 1 y) (* y (exp z)))) t))>
#<alt (/ (log (+ (- 1 y) (* y (exp z)))) t)>
#<alt (log (+ (- 1 y) (* y (exp z))))>
#<alt (* y (exp z))>
Outputs
#<alt 1>
#<alt (+ 1 (* y (- (exp z) 1)))>
#<alt (+ 1 (* y (- (exp z) 1)))>
#<alt (+ 1 (* y (- (exp z) 1)))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (+ (exp z) (/ 1 y)) 1))>
#<alt (* y (- (+ (exp z) (/ 1 y)) 1))>
#<alt (* y (- (+ (exp z) (/ 1 y)) 1))>
#<alt (* -1 (* y (+ 1 (* -1 (exp z)))))>
#<alt (* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))>
#<alt (* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))>
#<alt (* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))>
#<alt 1>
#<alt (+ 1 (* y z))>
#<alt (+ 1 (* z (+ y (* 1/2 (* y z)))))>
#<alt (+ 1 (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))>
#<alt (- (+ 1 (* y (exp z))) y)>
#<alt (- (+ 1 (* y (exp z))) y)>
#<alt (- (+ 1 (* y (exp z))) y)>
#<alt (- (+ 1 (* y (exp z))) y)>
#<alt (- (+ 1 (* y (exp z))) y)>
#<alt (- (+ 1 (* y (exp z))) y)>
#<alt (- (+ 1 (* y (exp z))) y)>
#<alt (- (+ 1 (* y (exp z))) y)>
#<alt (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))>
#<alt (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))>
#<alt (* x (+ 1 (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)))))>
#<alt x>
#<alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))>
#<alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))>
#<alt (* -1 (* x (- (/ (log (- (+ 1 (* y (exp z))) y)) (* t x)) 1)))>
#<alt x>
#<alt (+ x (* y (- (/ 1 t) (/ (exp z) t))))>
#<alt (+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t))))>
#<alt (+ 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))))>
#<alt (- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t)))>
#<alt (- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))>
#<alt (- (+ 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))))>
#<alt (- (+ 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)))))>
#<alt (- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))>
#<alt (- (+ x (/ 1 (* t (* y (+ 1 (* -1 (exp z))))))) (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)))>
#<alt (- (+ 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)))>
#<alt (- (+ 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)))>
#<alt x>
#<alt (+ x (* -1 (/ (* y z) t)))>
#<alt (+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))))>
#<alt (+ 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))))>
#<alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (- x (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t))>
#<alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)>
#<alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)>
#<alt (/ (- (* t x) (log (- (+ 1 (* y (exp z))) y))) t)>
#<alt x>
#<alt (+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))>
#<alt (+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))>
#<alt (+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))>
#<alt x>
#<alt (+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))>
#<alt (+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))>
#<alt (+ x (* -1 (/ (log (- (+ 1 (* y (exp z))) y)) t)))>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t)))>
#<alt (* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t)))>
#<alt (* 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)))>
#<alt (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)>
#<alt (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))>
#<alt (- (+ (* -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)))))>
#<alt (- (+ (* -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))))))>
#<alt (/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)>
#<alt (- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))>
#<alt (+ (* -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)))>
#<alt (+ (* -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)))>
#<alt (/ (* y z) t)>
#<alt (* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))>
#<alt (* 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)))>
#<alt (* 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)))>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (/ (log (- (+ 1 (* y (exp z))) y)) t)>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1))>
#<alt (* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1))>
#<alt (* 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))>
#<alt (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y))))>
#<alt (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1)))))>
#<alt (- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2))))>
#<alt (- (+ (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)))))>
#<alt (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y))))>
#<alt (- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z))))))>
#<alt (+ (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))))>
#<alt (+ (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))))>
#<alt (* y z)>
#<alt (* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))))>
#<alt (* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))>
#<alt (* 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)))))))))))>
#<alt (log (- (+ 1 (* y (exp z))) y))>
#<alt (log (- (+ 1 (* y (exp z))) y))>
#<alt (log (- (+ 1 (* y (exp z))) y))>
#<alt (log (- (+ 1 (* y (exp z))) y))>
#<alt (log (- (+ 1 (* y (exp z))) y))>
#<alt (log (- (+ 1 (* y (exp z))) y))>
#<alt (log (- (+ 1 (* y (exp z))) y))>
#<alt (log (- (+ 1 (* y (exp z))) y))>
#<alt (* y (exp z))>
#<alt (* y (exp z))>
#<alt (* y (exp z))>
#<alt (* y (exp z))>
#<alt (* y (exp z))>
#<alt (* y (exp z))>
#<alt (* y (exp z))>
#<alt (* y (exp z))>
#<alt (* y (exp z))>
#<alt (* y (exp z))>
#<alt (* y (exp z))>
#<alt (* y (exp z))>
#<alt y>
#<alt (+ y (* y z))>
#<alt (+ y (* z (+ y (* 1/2 (* y z)))))>
#<alt (+ y (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))>
#<alt (* y (exp z))>
#<alt (* y (exp z))>
#<alt (* y (exp z))>
#<alt (* y (exp z))>
#<alt (* y (exp z))>
#<alt (* y (exp z))>
#<alt (* y (exp z))>
#<alt (* y (exp z))>
Calls

39 calls:

TimeVariablePointExpression
28.0ms
z
@inf
(- x (/ (log (+ (- 1 y) (* y (exp z)))) t))
22.0ms
z
@-inf
(- x (/ (log (+ (- 1 y) (* y (exp z)))) t))
11.0ms
t
@0
(/ (log (+ (- 1 y) (* y (exp z)))) t)
8.0ms
t
@inf
(/ (log (+ (- 1 y) (* y (exp z)))) t)
6.0ms
x
@0
(- x (/ (log (+ (- 1 y) (* y (exp z)))) t))

rewrite463.0ms (2.3%)

Memory
20.7MiB live, 608.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 580×accelerator-lowering-fma.f32
6 580×accelerator-lowering-fma.f64
4 130×*-lowering-*.f32
4 130×*-lowering-*.f64
3 042×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01245
16645
258645
3717745
0895738
Stop Event
1×iter limit
1×node limit
Counts
5 → 287
Calls
Call 1
Inputs
(+ (- 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))))
(* y (exp z))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z))))
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
(+.f64 (*.f64 y (exp.f64 z)) (-.f64 #s(literal 1 binary64) y))
(+.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 y (exp.f64 z) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 y (*.f64 y (exp.f64 (+.f64 z z)))) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))))
(+.f64 (fma.f64 y (exp.f64 z) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) y))
(+.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z))) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z))))
(-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (-.f64 #s(literal 0 binary64) (exp.f64 z))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (-.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 y (exp.f64 z))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (-.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)) (*.f64 y (exp.f64 z))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (/.f64 (*.f64 y (*.f64 y (exp.f64 (+.f64 z z)))) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))))
(-.f64 (fma.f64 y (exp.f64 z) #s(literal 1 binary64)) y)
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z))) (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z))) #s(literal 3 binary64)) (fma.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z))) (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 y (*.f64 y (exp.f64 (+.f64 z z)))) (fma.f64 y (exp.f64 z) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) y)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (fma.f64 y (exp.f64 z) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) y)))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z))) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64))))
(-.f64 (fma.f64 y (exp.f64 z) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(-.f64 (fma.f64 y (exp.f64 z) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) y)))
(-.f64 (+.f64 (fma.f64 y (exp.f64 z) #s(literal 1 binary64)) #s(literal 0 binary64)) y)
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
(fma.f64 #s(literal 1 binary64) (*.f64 y (exp.f64 z)) (-.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) y) (fma.f64 y (exp.f64 z) #s(literal 1 binary64)))
(fma.f64 y (exp.f64 z) (-.f64 #s(literal 1 binary64) y))
(fma.f64 y #s(literal -1 binary64) (fma.f64 y (exp.f64 z) #s(literal 1 binary64)))
(fma.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))
(fma.f64 y (*.f64 #s(literal 1 binary64) (exp.f64 z)) (-.f64 #s(literal 1 binary64) y))
(fma.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64) (*.f64 y (exp.f64 z)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 y (*.f64 y (exp.f64 (+.f64 z z)))) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))))
(fma.f64 (exp.f64 z) y (-.f64 #s(literal 1 binary64) y))
(fma.f64 (*.f64 y (exp.f64 z)) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 y (*.f64 y (exp.f64 (+.f64 z z)))) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 y (exp.f64 z)))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 y (exp.f64 z)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64) (fma.f64 y (exp.f64 z) #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 y (exp.f64 z)))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 y (exp.f64 z)))
(fma.f64 #s(literal -1 binary64) y (fma.f64 y (exp.f64 z) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z))) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) (*.f64 y (exp.f64 z)))
(fma.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64))) (*.f64 y (exp.f64 z)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (exp.f64 z)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 y (exp.f64 z)))
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (*.f64 y (exp.f64 z)))
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 y (exp.f64 z)))
(fma.f64 (*.f64 (exp.f64 z) #s(literal 1 binary64)) y (-.f64 #s(literal 1 binary64) y))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
(fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (fma.f64 y (neg.f64 (*.f64 y (exp.f64 (+.f64 z z)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (fma.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 y (*.f64 y (exp.f64 (+.f64 z z)))) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (*.f64 y y))) (exp.f64 (*.f64 z #s(literal 3 binary64)))))) (fma.f64 (*.f64 y (exp.f64 z)) (fma.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (neg.f64 (/.f64 (*.f64 y (*.f64 y (exp.f64 (+.f64 z z)))) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (fma.f64 (fma.f64 y y y) (*.f64 (fma.f64 y y y) (fma.f64 y y y)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 y (exp.f64 z)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y y) (fma.f64 y y y)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) (*.f64 y (exp.f64 z)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 y (exp.f64 z)))
(neg.f64 (/.f64 (fma.f64 y (*.f64 (*.f64 y y) (exp.f64 (*.f64 z #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y (exp.f64 (+.f64 z z))) (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))))))
(neg.f64 (/.f64 (fma.f64 y (neg.f64 (*.f64 y (exp.f64 (+.f64 z z)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 (*.f64 y y) (exp.f64 (*.f64 z #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (fma.f64 y (*.f64 y (exp.f64 (+.f64 z z))) (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (neg.f64 (*.f64 y (exp.f64 (+.f64 z z)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z))) (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (exp.f64 z) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) y))) (fma.f64 y (*.f64 y (exp.f64 (+.f64 z z))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z))) #s(literal 2 binary64)))))
(/.f64 (fma.f64 y (*.f64 (*.f64 y y) (exp.f64 (*.f64 z #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (fma.f64 y (*.f64 y (exp.f64 (+.f64 z z))) (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))))
(/.f64 (fma.f64 y (neg.f64 (*.f64 y (exp.f64 (+.f64 z z)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 (*.f64 y y) (exp.f64 (*.f64 z #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y (exp.f64 (+.f64 z z))) (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y (-.f64 #s(literal -1 binary64) (exp.f64 z)) #s(literal 1 binary64))))))
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simplify604.0ms (3.1%)

Memory
22.9MiB live, 886.2MiB allocated
Algorithm
1×egg-herbie
Rules
15 880×accelerator-lowering-fma.f32
15 880×accelerator-lowering-fma.f64
6 656×+-lowering-+.f64
6 656×+-lowering-+.f32
5 266×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03352380
110122276
231702227
082271752
Stop Event
1×iter limit
1×node limit
Counts
156 → 156
Calls
Call 1
Inputs
1
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(* 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)))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
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(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* y (+ (* -1/4 (* y (pow (- (exp z) 1) 4))) (* 1/3 (pow (- (exp z) 1) 3))))))) 1))
(+ (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)))))
(+ (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))))
(* 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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(log (- (+ 1 (* y (exp z))) y))
(log (- (+ 1 (* y (exp z))) y))
(log (- (+ 1 (* y (exp z))) y))
(log (- (+ 1 (* y (exp z))) y))
(log (- (+ 1 (* y (exp z))) y))
(log (- (+ 1 (* y (exp z))) y))
(log (- (+ 1 (* y (exp z))) y))
(* y (exp z))
(* y (exp z))
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(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
y
(+ y (* y z))
(+ y (* z (+ y (* 1/2 (* y z)))))
(+ y (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
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(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
(* y (exp z))
Outputs
1
#s(literal 1 binary64)
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(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
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(*.f64 y (+.f64 (expm1.f64 z) (/.f64 #s(literal 1 binary64) y)))
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(* -1 (* y (- (+ 1 (* -1 (exp z))) (/ 1 y))))
(fma.f64 y (expm1.f64 z) #s(literal 1 binary64))
1
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x
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(+.f64 (+.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 t (*.f64 y (*.f64 y y)))))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (expm1.f64 z) t))) (/.f64 #s(literal -1/2 binary64) (*.f64 t (*.f64 y (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))))))
(/ (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) t)
(/.f64 (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z))) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) y)))) t)
(- (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (+ 1 (* -1 (exp z)))) t)) (/ 1 (* t (* y (+ 1 (* -1 (exp z)))))))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (expm1.f64 z) t))) (/.f64 (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z))) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) y)))) t))
(+ (* -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)))
(-.f64 (/.f64 (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z))) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) y)))) t) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) t)) (/.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 t (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 2 binary64)))))) y))
(+ (* -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)))
(-.f64 (/.f64 (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z))) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) y)))) t) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) t)) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 3 binary64)) (*.f64 t (*.f64 y y)))) (/.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 t (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 2 binary64))))))) y))
(/ (* y z) t)
(/.f64 (*.f64 y z) t)
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))
(*.f64 z (fma.f64 z (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1/2 binary64) t)) (/.f64 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)))
(*.f64 z (fma.f64 z (fma.f64 z (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) (/.f64 #s(literal 1/6 binary64) t)) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1/2 binary64) t))) (/.f64 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)))
(*.f64 z (fma.f64 z (fma.f64 z (fma.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y) t) (/.f64 (*.f64 z (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) y)) #s(literal 1/24 binary64))) t)) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1/2 binary64) t))) (/.f64 y t)))
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (- (+ 1 (* y (exp z))) y)) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(* y (- (exp z) 1))
(*.f64 y (expm1.f64 z))
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1))
(*.f64 y (*.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) (expm1.f64 z) #s(literal 1 binary64)) (expm1.f64 z)))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1))
(*.f64 y (fma.f64 y (*.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (fma.f64 (*.f64 y #s(literal 1/3 binary64)) (expm1.f64 z) #s(literal -1/2 binary64))) (expm1.f64 z)))
(* 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 y (fma.f64 y (fma.f64 (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (fma.f64 (*.f64 y #s(literal 1/3 binary64)) (expm1.f64 z) #s(literal -1/2 binary64)) (*.f64 (*.f64 y (*.f64 y #s(literal -1/4 binary64))) (pow.f64 (expm1.f64 z) #s(literal 4 binary64)))) (expm1.f64 z)))
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y))))
(+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1)))))
(+.f64 (log.f64 (expm1.f64 z)) (+.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 y (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 #s(literal 1 binary64) (*.f64 y (expm1.f64 z))) (+.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) (/.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))))))
(- (+ (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 (log.f64 (expm1.f64 z)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z))) (+.f64 (+.f64 (log.f64 y) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))))))
(+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z))) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) y))))
(- (+ (log (+ 1 (* -1 (exp z)))) (* -1 (log (/ -1 y)))) (/ 1 (* y (+ 1 (* -1 (exp z))))))
(+.f64 (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z))) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 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))))
(-.f64 (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z))) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) y)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 z))) (/.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 2 binary64))))) 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))))
(-.f64 (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z))) (neg.f64 (log.f64 (-.f64 #s(literal 0 binary64) y)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 z))) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 y y) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z)) #s(literal 2 binary64)))))) y))
(* y z)
(*.f64 y z)
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))))
(*.f64 z (fma.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)) (*.f64 z #s(literal 1/2 binary64)) y))
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
(*.f64 z (fma.f64 z (fma.f64 z (*.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y)) (*.f64 #s(literal 1/2 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) y)))) y))
(* 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 z (fma.f64 z (fma.f64 z (fma.f64 z (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 12 binary64) #s(literal -7 binary64)) (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) y)) #s(literal 1/24 binary64)) (*.f64 #s(literal 1/6 binary64) (fma.f64 (*.f64 y y) (fma.f64 y #s(literal 2 binary64) #s(literal -3 binary64)) y))) (*.f64 #s(literal 1/2 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) y)))) y))
(log (- (+ 1 (* y (exp z))) y))
(log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))
(log (- (+ 1 (* y (exp z))) y))
(log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))
(log (- (+ 1 (* y (exp z))) y))
(log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))
(log (- (+ 1 (* y (exp z))) y))
(log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))
(log (- (+ 1 (* y (exp z))) y))
(log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))
(log (- (+ 1 (* y (exp z))) y))
(log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))
(log (- (+ 1 (* y (exp z))) y))
(log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))
(log (- (+ 1 (* y (exp z))) y))
(log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
y
(+ y (* y z))
(fma.f64 y z y)
(+ y (* z (+ y (* 1/2 (* y z)))))
(fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 y z) y)
(+ y (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y))))))
(fma.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) y)
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))
(* y (exp z))
(*.f64 y (exp.f64 z))

eval102.0ms (0.5%)

Memory
-3.7MiB live, 152.1MiB allocated
Compiler

Compiled 14 579 to 1 569 computations (89.2% saved)

prune69.0ms (0.4%)

Memory
6.1MiB live, 179.1MiB allocated
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New42914443
Fresh000
Picked101
Done000
Total43014444
Accuracy
99.3%
Counts
444 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶62.7%
(fma.f64 z (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 y (-.f64 #s(literal 1 binary64) y))) t) (/.f64 y t)) x)
▶75.9%
(fma.f64 y (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t)) x)
12.5%
(-.f64 x (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t))
62.5%
(-.f64 x (/.f64 (*.f64 z (fma.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)) (*.f64 z #s(literal 1/2 binary64)) y)) t))
81.6%
(-.f64 x (/.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) (expm1.f64 z) #s(literal 1 binary64)) (expm1.f64 z))) t))
▶83.8%
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
73.0%
(-.f64 x (/.f64 (*.f64 y z) t))
▶82.7%
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t))
66.5%
(-.f64 x (/.f64 (log.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64))) t))
63.6%
(-.f64 x (/.f64 (log.f64 (fma.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) #s(literal 1 binary64))) t))
71.6%
(-.f64 x (/.f64 (log.f64 (fma.f64 y z #s(literal 1 binary64))) t))
34.6%
(-.f64 x (/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t))
79.0%
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (*.f64 t x))))
▶71.4%
x
Compiler

Compiled 434 to 292 computations (32.7% saved)

simplify367.0ms (1.9%)

Memory
-19.7MiB live, 572.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z))))
✓cost-diff0
(/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t)
✓cost-diff0
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t))
✓cost-diff192
(+.f64 #s(literal -1 binary64) (exp.f64 z))
✓cost-diff0
(/.f64 (exp.f64 z) t)
✓cost-diff0
(/.f64 #s(literal 1 binary64) t)
✓cost-diff0
(fma.f64 y (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t)) x)
✓cost-diff704
(-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t))
✓cost-diff0
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 y (-.f64 #s(literal 1 binary64) y))) t)
✓cost-diff0
(fma.f64 z (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 y (-.f64 #s(literal 1 binary64) y))) t) (/.f64 y t)) x)
✓cost-diff128
(*.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 y (-.f64 #s(literal 1 binary64) y)))
✓cost-diff896
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 y (-.f64 #s(literal 1 binary64) y))) t) (/.f64 y t))
✓cost-diff-64
(*.f64 y (expm1.f64 z))
✓cost-diff0
(expm1.f64 z)
✓cost-diff0
(/.f64 (*.f64 y (expm1.f64 z)) t)
✓cost-diff0
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
Rules
11 574×accelerator-lowering-fma.f32
11 574×accelerator-lowering-fma.f64
3 484×*-lowering-*.f32
3 484×*-lowering-*.f64
1 504×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032189
170189
2172188
3474184
41429183
53820183
66849183
08085149
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(- x (/ (* y (- (exp z) 1)) t))
x
(/ (* y (- (exp z) 1)) t)
(* y (- (exp z) 1))
y
(- (exp z) 1)
z
t
x
(+ (* z (- (/ (* (* -1/2 z) (* y (- 1 y))) t) (/ y t))) x)
z
(- (/ (* (* -1/2 z) (* y (- 1 y))) t) (/ y t))
(/ (* (* -1/2 z) (* y (- 1 y))) t)
(* (* -1/2 z) (* y (- 1 y)))
(* -1/2 z)
-1/2
(* y (- 1 y))
y
(- 1 y)
1
t
(/ y t)
x
(+ (* y (- (/ 1 t) (/ (exp z) t))) x)
y
(- (/ 1 t) (/ (exp z) t))
(/ 1 t)
1
t
(/ (exp z) t)
(exp z)
z
x
(- x (/ (log (+ 1 (* y (+ -1 (exp z))))) t))
x
(/ (log (+ 1 (* y (+ -1 (exp z))))) t)
(log (+ 1 (* y (+ -1 (exp z)))))
(* y (+ -1 (exp z)))
y
(+ -1 (exp z))
-1
(exp z)
z
t
Outputs
(- x (/ (* y (- (exp z) 1)) t))
(-.f64 x (fma.f64 y (/.f64 (expm1.f64 z) t) #s(literal 0 binary64)))
x
(/ (* y (- (exp z) 1)) t)
(fma.f64 y (/.f64 (expm1.f64 z) t) #s(literal 0 binary64))
(* y (- (exp z) 1))
(fma.f64 y (expm1.f64 z) #s(literal 0 binary64))
y
(- (exp z) 1)
(expm1.f64 z)
z
t
x
(+ (* z (- (/ (* (* -1/2 z) (* y (- 1 y))) t) (/ y t))) x)
(fma.f64 (fma.f64 z (/.f64 y t) #s(literal 0 binary64)) (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) x)
z
(- (/ (* (* -1/2 z) (* y (- 1 y))) t) (/ y t))
(fma.f64 (/.f64 y t) (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(/ (* (* -1/2 z) (* y (- 1 y))) t)
(fma.f64 (/.f64 y t) (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (* -1/2 z) (* y (- 1 y)))
(fma.f64 y (fma.f64 z (fma.f64 y #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1/2 z)
(fma.f64 z #s(literal -1/2 binary64) #s(literal 0 binary64))
-1/2
#s(literal -1/2 binary64)
(* y (- 1 y))
(fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
y
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
t
(/ y t)
(/.f64 y t)
x
(+ (* y (- (/ 1 t) (/ (exp z) t))) x)
(-.f64 x (fma.f64 y (/.f64 (expm1.f64 z) t) #s(literal 0 binary64)))
y
(- (/ 1 t) (/ (exp z) t))
(-.f64 #s(literal 0 binary64) (/.f64 (expm1.f64 z) t))
(/ 1 t)
(/.f64 #s(literal 1 binary64) t)
1
#s(literal 1 binary64)
t
(/ (exp z) t)
(/.f64 (exp.f64 z) t)
(exp z)
(exp.f64 z)
z
x
(- x (/ (log (+ 1 (* y (+ -1 (exp z))))) t))
(-.f64 x (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t))
x
(/ (log (+ 1 (* y (+ -1 (exp z))))) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(log (+ 1 (* y (+ -1 (exp z)))))
(log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))
(* y (+ -1 (exp z)))
(fma.f64 y (expm1.f64 z) #s(literal 0 binary64))
y
(+ -1 (exp z))
(expm1.f64 z)
-1
#s(literal -1 binary64)
(exp z)
(exp.f64 z)
z
t

localize191.0ms (1%)

Memory
37.6MiB live, 352.5MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t))
✓accuracy98.9%
(log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z))))
✓accuracy96.7%
(/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t)
✓accuracy36.8%
(+.f64 #s(literal -1 binary64) (exp.f64 z))
✓accuracy100.0%
(exp.f64 z)
✓accuracy100.0%
(/.f64 (exp.f64 z) t)
✓accuracy98.7%
(fma.f64 y (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t)) x)
✓accuracy55.4%
(-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t))
✓accuracy95.5%
(fma.f64 z (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 y (-.f64 #s(literal 1 binary64) y))) t) (/.f64 y t)) x)
✓accuracy95.3%
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 y (-.f64 #s(literal 1 binary64) y))) t)
✓accuracy94.5%
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 y (-.f64 #s(literal 1 binary64) y))) t) (/.f64 y t))
✓accuracy93.7%
(*.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 y (-.f64 #s(literal 1 binary64) y)))
✓accuracy100.0%
(expm1.f64 z)
✓accuracy100.0%
(*.f64 y (expm1.f64 z))
✓accuracy100.0%
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
✓accuracy96.7%
(/.f64 (*.f64 y (expm1.f64 z)) t)
Samples
105.0ms162×1valid
20.0ms85×0valid
8.0ms9×2valid
Compiler

Compiled 177 to 33 computations (81.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 103.0ms
ival-mult: 36.0ms (35.1% of total)
ival-exp: 20.0ms (19.5% of total)
ival-div: 17.0ms (16.6% of total)
ival-sub: 9.0ms (8.8% of total)
adjust: 8.0ms (7.8% of total)
ival-add: 6.0ms (5.8% of total)
ival-log1p: 4.0ms (3.9% of total)
ival-expm1: 2.0ms (1.9% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series178.0ms (0.9%)

Memory
-1.3MiB live, 244.4MiB allocated
Counts
17 → 504
Calls
Call 1
Inputs
#<alt (- x (/ (* y (- (exp z) 1)) t))>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (- (exp z) 1)>
#<alt (* y (- (exp z) 1))>
#<alt (- (/ (* (* -1/2 z) (* y (- 1 y))) t) (/ y t))>
#<alt (* (* -1/2 z) (* y (- 1 y)))>
#<alt (+ (* z (- (/ (* (* -1/2 z) (* y (- 1 y))) t) (/ y t))) x)>
#<alt (/ (* (* -1/2 z) (* y (- 1 y))) t)>
#<alt (- (/ 1 t) (/ (exp z) t))>
#<alt (+ (* y (- (/ 1 t) (/ (exp z) t))) x)>
#<alt (/ 1 t)>
#<alt (/ (exp z) t)>
#<alt (+ -1 (exp z))>
#<alt (- x (/ (log (+ 1 (* y (+ -1 (exp z))))) t))>
#<alt (/ (log (+ 1 (* y (+ -1 (exp z))))) t)>
#<alt (log (+ 1 (* y (+ -1 (exp z)))))>
#<alt (exp z)>
Outputs
#<alt (* -1 (/ (* y (- (exp z) 1)) t))>
#<alt (- x (/ (* y (- (exp z) 1)) t))>
#<alt (- x (/ (* y (- (exp z) 1)) t))>
#<alt (- x (/ (* y (- (exp z) 1)) t))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (* y (- (exp z) 1)) (* t x)))))>
#<alt (* x (+ 1 (* -1 (/ (* y (- (exp z) 1)) (* t x)))))>
#<alt (* x (+ 1 (* -1 (/ (* y (- (exp z) 1)) (* t x)))))>
#<alt x>
#<alt (* -1 (* x (- (/ (* y (- (exp z) 1)) (* t x)) 1)))>
#<alt (* -1 (* x (- (/ (* y (- (exp z) 1)) (* t x)) 1)))>
#<alt (* -1 (* x (- (/ (* y (- (exp z) 1)) (* t x)) 1)))>
#<alt x>
#<alt (+ x (* y (- (/ 1 t) (/ (exp z) t))))>
#<alt (+ x (* y (- (/ 1 t) (/ (exp z) t))))>
#<alt (+ x (* y (- (/ 1 t) (/ (exp z) t))))>
#<alt (* y (- (/ 1 t) (/ (exp z) t)))>
#<alt (* y (- (+ (/ 1 t) (/ x y)) (/ (exp z) t)))>
#<alt (* y (- (+ (/ 1 t) (/ x y)) (/ (exp z) t)))>
#<alt (* y (- (+ (/ 1 t) (/ x y)) (/ (exp z) t)))>
#<alt (* -1 (/ (* y (- (exp z) 1)) t))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 (/ (- (exp z) 1) t)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 (/ (- (exp z) 1) t)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* -1 (/ (- (exp z) 1) t)))))>
#<alt x>
#<alt (+ x (* -1 (/ (* y z) t)))>
#<alt (+ x (* z (- (* -1/2 (/ (* y z) t)) (/ y t))))>
#<alt (+ x (* z (- (* z (- (* -1/6 (/ (* y z) t)) (* 1/2 (/ y t)))) (/ y t))))>
#<alt (- x (/ (* y (- (exp z) 1)) t))>
#<alt (- x (/ (* y (- (exp z) 1)) t))>
#<alt (- x (/ (* y (- (exp z) 1)) t))>
#<alt (- x (/ (* y (- (exp z) 1)) t))>
#<alt (- x (/ (* y (- (exp z) 1)) t))>
#<alt (- x (/ (* y (- (exp z) 1)) t))>
#<alt (- x (/ (* y (- (exp z) 1)) t))>
#<alt (- x (/ (* y (- (exp z) 1)) t))>
#<alt (* -1 (/ (* y (- (exp z) 1)) t))>
#<alt (/ (- (* t x) (* y (- (exp z) 1))) t)>
#<alt (/ (- (* t x) (* y (- (exp z) 1))) t)>
#<alt (/ (- (* t x) (* y (- (exp z) 1))) t)>
#<alt x>
#<alt (+ x (* -1 (/ (* y (- (exp z) 1)) t)))>
#<alt (+ x (* -1 (/ (* y (- (exp z) 1)) t)))>
#<alt (+ x (* -1 (/ (* y (- (exp z) 1)) t)))>
#<alt x>
#<alt (+ x (* -1 (/ (* y (- (exp z) 1)) t)))>
#<alt (+ x (* -1 (/ (* y (- (exp z) 1)) t)))>
#<alt (+ x (* -1 (/ (* y (- (exp z) 1)) t)))>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y z) t)>
#<alt (* z (+ (* 1/2 (/ (* y z) t)) (/ y t)))>
#<alt (* z (+ (* z (+ (* 1/6 (/ (* y z) t)) (* 1/2 (/ y t)))) (/ y t)))>
#<alt (* z (+ (* z (+ (* 1/2 (/ y t)) (* z (+ (* 1/24 (/ (* y z) t)) (* 1/6 (/ y t)))))) (/ y t)))>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt z>
#<alt (* z (+ 1 (* 1/2 z)))>
#<alt (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))>
#<alt (* z (+ 1 (* z (+ 1/2 (* z (+ 1/6 (* 1/24 z)))))))>
#<alt (- (exp z) 1)>
#<alt (- (exp z) 1)>
#<alt (- (exp z) 1)>
#<alt (- (exp z) 1)>
#<alt (- (exp z) 1)>
#<alt (- (exp z) 1)>
#<alt (- (exp z) 1)>
#<alt (- (exp z) 1)>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y z)>
#<alt (* z (+ y (* 1/2 (* y z))))>
#<alt (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))>
#<alt (* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y)))))))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* -1 (/ y t))>
#<alt (- (* -1/2 (/ (* y (* z (- 1 y))) t)) (/ y t))>
#<alt (- (* -1/2 (/ (* y (* z (- 1 y))) t)) (/ y t))>
#<alt (- (* -1/2 (/ (* y (* z (- 1 y))) t)) (/ y t))>
#<alt (* -1/2 (/ (* y (* z (- 1 y))) t))>
#<alt (* z (+ (* -1 (/ y (* t z))) (* -1/2 (/ (* y (- 1 y)) t))))>
#<alt (* z (+ (* -1 (/ y (* t z))) (* -1/2 (/ (* y (- 1 y)) t))))>
#<alt (* z (+ (* -1 (/ y (* t z))) (* -1/2 (/ (* y (- 1 y)) t))))>
#<alt (* -1/2 (/ (* y (* z (- 1 y))) t))>
#<alt (* -1 (* z (+ (* 1/2 (/ (* y (- 1 y)) t)) (/ y (* t z)))))>
#<alt (* -1 (* z (+ (* 1/2 (/ (* y (- 1 y)) t)) (/ y (* t z)))))>
#<alt (* -1 (* z (+ (* 1/2 (/ (* y (- 1 y)) t)) (/ y (* t z)))))>
#<alt (* y (- (* -1/2 (/ z t)) (/ 1 t)))>
#<alt (* y (- (+ (* -1/2 (/ z t)) (* 1/2 (/ (* y z) t))) (/ 1 t)))>
#<alt (* y (- (+ (* -1/2 (/ z t)) (* 1/2 (/ (* y z) t))) (/ 1 t)))>
#<alt (* y (- (+ (* -1/2 (/ z t)) (* 1/2 (/ (* y z) t))) (/ 1 t)))>
#<alt (* 1/2 (/ (* (pow y 2) z) t))>
#<alt (* (pow y 2) (- (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ z t))) (/ 1 (* t y))))>
#<alt (* (pow y 2) (- (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ z t))) (/ 1 (* t y))))>
#<alt (* (pow y 2) (- (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ z t))) (/ 1 (* t y))))>
#<alt (* 1/2 (/ (* (pow y 2) z) t))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* 1/2 (/ z t)) (/ 1 t)) y)) (* 1/2 (/ z t))))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* 1/2 (/ z t)) (/ 1 t)) y)) (* 1/2 (/ z t))))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* 1/2 (/ z t)) (/ 1 t)) y)) (* 1/2 (/ z t))))>
#<alt (/ (- (* -1/2 (* y (* z (- 1 y)))) y) t)>
#<alt (/ (- (* -1/2 (* y (* z (- 1 y)))) y) t)>
#<alt (/ (- (* -1/2 (* y (* z (- 1 y)))) y) t)>
#<alt (/ (- (* -1/2 (* y (* z (- 1 y)))) y) t)>
#<alt (/ (- (* -1/2 (* y (* z (- 1 y)))) y) t)>
#<alt (/ (- (* -1/2 (* y (* z (- 1 y)))) y) t)>
#<alt (/ (- (* -1/2 (* y (* z (- 1 y)))) y) t)>
#<alt (/ (- (* -1/2 (* y (* z (- 1 y)))) y) t)>
#<alt (* -1 (/ (- (* 1/2 (* y (* z (- 1 y)))) (* -1 y)) t))>
#<alt (* -1 (/ (- (* 1/2 (* y (* z (- 1 y)))) (* -1 y)) t))>
#<alt (* -1 (/ (- (* 1/2 (* y (* z (- 1 y)))) (* -1 y)) t))>
#<alt (* -1 (/ (- (* 1/2 (* y (* z (- 1 y)))) (* -1 y)) t))>
#<alt (* -1/2 (* y (* z (- 1 y))))>
#<alt (* -1/2 (* y (* z (- 1 y))))>
#<alt (* -1/2 (* y (* z (- 1 y))))>
#<alt (* -1/2 (* y (* z (- 1 y))))>
#<alt (* -1/2 (* y (* z (- 1 y))))>
#<alt (* -1/2 (* y (* z (- 1 y))))>
#<alt (* -1/2 (* y (* z (- 1 y))))>
#<alt (* -1/2 (* y (* z (- 1 y))))>
#<alt (* -1/2 (* y (* z (- 1 y))))>
#<alt (* -1/2 (* y (* z (- 1 y))))>
#<alt (* -1/2 (* y (* z (- 1 y))))>
#<alt (* -1/2 (* y (* z (- 1 y))))>
#<alt (* -1/2 (* y z))>
#<alt (* y (+ (* -1/2 z) (* 1/2 (* y z))))>
#<alt (* y (+ (* -1/2 z) (* 1/2 (* y z))))>
#<alt (* y (+ (* -1/2 z) (* 1/2 (* y z))))>
#<alt (* 1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (* 1/2 z)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (* 1/2 z)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (* 1/2 z)))>
#<alt (* 1/2 (* (pow y 2) z))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (* 1/2 z)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (* 1/2 z)))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z y)) (* 1/2 z)))>
#<alt x>
#<alt (+ x (* -1 (/ (* y z) t)))>
#<alt (+ x (* z (+ (* -1 (/ y t)) (* -1/2 (/ (* y (* z (- 1 y))) t)))))>
#<alt (+ x (* z (+ (* -1 (/ y t)) (* -1/2 (/ (* y (* z (- 1 y))) t)))))>
#<alt (* -1/2 (/ (* y (* (pow z 2) (- 1 y))) t))>
#<alt (* (pow z 2) (+ (* -1 (/ y (* t z))) (* -1/2 (/ (* y (- 1 y)) t))))>
#<alt (* (pow z 2) (- (+ (* -1/2 (/ (* y (- 1 y)) t)) (/ x (pow z 2))) (/ y (* t z))))>
#<alt (* (pow z 2) (- (+ (* -1/2 (/ (* y (- 1 y)) t)) (/ x (pow z 2))) (/ y (* t z))))>
#<alt (* -1/2 (/ (* y (* (pow z 2) (- 1 y))) t))>
#<alt (* (pow z 2) (+ (* -1 (/ y (* t z))) (* -1/2 (/ (* y (- 1 y)) t))))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ x z)) (/ y t)) z)) (* -1/2 (/ (* y (- 1 y)) t))))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ x z)) (/ y t)) z)) (* -1/2 (/ (* y (- 1 y)) t))))>
#<alt x>
#<alt (+ x (* y (* z (- (* -1/2 (/ z t)) (/ 1 t)))))>
#<alt (+ x (* y (+ (* 1/2 (/ (* y (pow z 2)) t)) (* z (- (* -1/2 (/ z t)) (/ 1 t))))))>
#<alt (+ x (* y (+ (* 1/2 (/ (* y (pow z 2)) t)) (* z (- (* -1/2 (/ z t)) (/ 1 t))))))>
#<alt (* 1/2 (/ (* (pow y 2) (pow z 2)) t))>
#<alt (* (pow y 2) (+ (* 1/2 (/ (pow z 2) t)) (/ (* z (- (* -1/2 (/ z t)) (/ 1 t))) y)))>
#<alt (* (pow y 2) (+ (* 1/2 (/ (pow z 2) t)) (+ (/ x (pow y 2)) (/ (* z (- (* -1/2 (/ z t)) (/ 1 t))) y))))>
#<alt (* (pow y 2) (+ (* 1/2 (/ (pow z 2) t)) (+ (/ x (pow y 2)) (/ (* z (- (* -1/2 (/ z t)) (/ 1 t))) y))))>
#<alt (* 1/2 (/ (* (pow y 2) (pow z 2)) t))>
#<alt (* (pow y 2) (+ (* -1 (/ (* z (+ (* 1/2 (/ z t)) (/ 1 t))) y)) (* 1/2 (/ (pow z 2) t))))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* z (+ (* 1/2 (/ z t)) (/ 1 t)))) y)) (* 1/2 (/ (pow z 2) t))))>
#<alt (* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x y)) (* z (+ (* 1/2 (/ z t)) (/ 1 t)))) y)) (* 1/2 (/ (pow z 2) t))))>
#<alt (/ (* z (- (* -1/2 (* y (* z (- 1 y)))) y)) t)>
#<alt (/ (+ (* t x) (* z (- (* -1/2 (* y (* z (- 1 y)))) y))) t)>
#<alt (/ (+ (* t x) (* z (- (* -1/2 (* y (* z (- 1 y)))) y))) t)>
#<alt (/ (+ (* t x) (* z (- (* -1/2 (* y (* z (- 1 y)))) y))) t)>
#<alt x>
#<alt (+ x (/ (* z (- (* -1/2 (* y (* z (- 1 y)))) y)) t))>
#<alt (+ x (/ (* z (- (* -1/2 (* y (* z (- 1 y)))) y)) t))>
#<alt (+ x (/ (* z (- (* -1/2 (* y (* z (- 1 y)))) y)) t))>
#<alt x>
#<alt (+ x (* -1 (/ (* z (- (* 1/2 (* y (* z (- 1 y)))) (* -1 y))) t)))>
#<alt (+ x (* -1 (/ (* z (- (* 1/2 (* y (* z (- 1 y)))) (* -1 y))) t)))>
#<alt (+ x (* -1 (/ (* z (- (* 1/2 (* y (* z (- 1 y)))) (* -1 y))) t)))>
#<alt (* z (- (* -1/2 (/ (* y (* z (- 1 y))) t)) (/ y t)))>
#<alt (+ x (* z (- (* -1/2 (/ (* y (* z (- 1 y))) t)) (/ y t))))>
#<alt (+ x (* z (- (* -1/2 (/ (* y (* z (- 1 y))) t)) (/ y t))))>
#<alt (+ x (* z (- (* -1/2 (/ (* y (* z (- 1 y))) t)) (/ y t))))>
#<alt x>
#<alt (* x (+ 1 (/ (* z (- (* -1/2 (/ (* y (* z (- 1 y))) t)) (/ y t))) x)))>
#<alt (* x (+ 1 (/ (* z (- (* -1/2 (/ (* y (* z (- 1 y))) t)) (/ y t))) x)))>
#<alt (* x (+ 1 (/ (* z (- (* -1/2 (/ (* y (* z (- 1 y))) t)) (/ y t))) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* z (- (* -1/2 (/ (* y (* z (- 1 y))) t)) (/ y t))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* z (- (* -1/2 (/ (* y (* z (- 1 y))) t)) (/ y t))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* z (- (* -1/2 (/ (* y (* z (- 1 y))) t)) (/ y t))) x)) 1)))>
#<alt (* -1/2 (/ (* y (* z (- 1 y))) t))>
#<alt (* -1/2 (/ (* y (* z (- 1 y))) t))>
#<alt (* -1/2 (/ (* y (* z (- 1 y))) t))>
#<alt (* -1/2 (/ (* y (* z (- 1 y))) t))>
#<alt (* -1/2 (/ (* y (* z (- 1 y))) t))>
#<alt (* -1/2 (/ (* y (* z (- 1 y))) t))>
#<alt (* -1/2 (/ (* y (* z (- 1 y))) t))>
#<alt (* -1/2 (/ (* y (* z (- 1 y))) t))>
#<alt (* -1/2 (/ (* y (* z (- 1 y))) t))>
#<alt (* -1/2 (/ (* y (* z (- 1 y))) t))>
#<alt (* -1/2 (/ (* y (* z (- 1 y))) t))>
#<alt (* -1/2 (/ (* y (* z (- 1 y))) t))>
#<alt (* -1/2 (/ (* y z) t))>
#<alt (* y (+ (* -1/2 (/ z t)) (* 1/2 (/ (* y z) t))))>
#<alt (* y (+ (* -1/2 (/ z t)) (* 1/2 (/ (* y z) t))))>
#<alt (* y (+ (* -1/2 (/ z t)) (* 1/2 (/ (* y z) t))))>
#<alt (* 1/2 (/ (* (pow y 2) z) t))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ z t))))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ z t))))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ z t))))>
#<alt (* 1/2 (/ (* (pow y 2) z) t))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ z t))))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ z t))))>
#<alt (* (pow y 2) (+ (* -1/2 (/ z (* t y))) (* 1/2 (/ z t))))>
#<alt (* -1/2 (/ (* y (* z (- 1 y))) t))>
#<alt (* -1/2 (/ (* y (* z (- 1 y))) t))>
#<alt (* -1/2 (/ (* y (* z (- 1 y))) t))>
#<alt (* -1/2 (/ (* y (* z (- 1 y))) t))>
#<alt (* -1/2 (/ (* y (* z (- 1 y))) t))>
#<alt (* -1/2 (/ (* y (* z (- 1 y))) t))>
#<alt (* -1/2 (/ (* y (* z (- 1 y))) t))>
#<alt (* -1/2 (/ (* y (* z (- 1 y))) t))>
#<alt (* -1/2 (/ (* y (* z (- 1 y))) t))>
#<alt (* -1/2 (/ (* y (* z (- 1 y))) t))>
#<alt (* -1/2 (/ (* y (* z (- 1 y))) t))>
#<alt (* -1/2 (/ (* y (* z (- 1 y))) t))>
#<alt (/ (- 1 (exp z)) t)>
#<alt (/ (- 1 (exp z)) t)>
#<alt (/ (- 1 (exp z)) t)>
#<alt (/ (- 1 (exp z)) t)>
#<alt (/ (- 1 (exp z)) t)>
#<alt (/ (- 1 (exp z)) t)>
#<alt (/ (- 1 (exp z)) t)>
#<alt (/ (- 1 (exp z)) t)>
#<alt (/ (+ 1 (* -1 (exp z))) t)>
#<alt (/ (+ 1 (* -1 (exp z))) t)>
#<alt (/ (+ 1 (* -1 (exp z))) t)>
#<alt (/ (+ 1 (* -1 (exp z))) t)>
#<alt (* -1 (/ z t))>
#<alt (* z (- (* -1/2 (/ z t)) (/ 1 t)))>
#<alt (* z (- (* z (- (* -1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t)))>
#<alt (* z (- (* z (- (* z (- (* -1/24 (/ z t)) (* 1/6 (/ 1 t)))) (* 1/2 (/ 1 t)))) (/ 1 t)))>
#<alt (- (/ 1 t) (/ (exp z) t))>
#<alt (- (/ 1 t) (/ (exp z) t))>
#<alt (- (/ 1 t) (/ (exp z) t))>
#<alt (- (/ 1 t) (/ (exp z) t))>
#<alt (- (/ 1 t) (/ (exp z) t))>
#<alt (- (/ 1 t) (/ (exp z) t))>
#<alt (- (/ 1 t) (/ (exp z) t))>
#<alt (- (/ 1 t) (/ (exp z) t))>
#<alt x>
#<alt (+ x (* y (- (/ 1 t) (/ (exp z) t))))>
#<alt (+ x (* y (- (/ 1 t) (/ (exp z) t))))>
#<alt (+ x (* y (- (/ 1 t) (/ (exp z) t))))>
#<alt (* y (- (/ 1 t) (/ (exp z) t)))>
#<alt (* y (- (+ (/ 1 t) (/ x y)) (/ (exp z) t)))>
#<alt (* y (- (+ (/ 1 t) (/ x y)) (/ (exp z) t)))>
#<alt (* y (- (+ (/ 1 t) (/ x y)) (/ (exp z) t)))>
#<alt (* y (- (/ 1 t) (/ (exp z) t)))>
#<alt (* -1 (* y (+ (* -1 (- (/ 1 t) (/ (exp z) t))) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- (/ 1 t) (/ (exp z) t))) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- (/ 1 t) (/ (exp z) t))) (* -1 (/ x y)))))>
#<alt (/ (* y (- 1 (exp z))) t)>
#<alt (/ (+ (* t x) (* y (- 1 (exp z)))) t)>
#<alt (/ (+ (* t x) (* y (- 1 (exp z)))) t)>
#<alt (/ (+ (* t x) (* y (- 1 (exp z)))) t)>
#<alt x>
#<alt (+ x (/ (* y (- 1 (exp z))) t))>
#<alt (+ x (/ (* y (- 1 (exp z))) t))>
#<alt (+ x (/ (* y (- 1 (exp z))) t))>
#<alt x>
#<alt (+ x (/ (* y (+ 1 (* -1 (exp z)))) t))>
#<alt (+ x (/ (* y (+ 1 (* -1 (exp z)))) t))>
#<alt (+ x (/ (* y (+ 1 (* -1 (exp z)))) t))>
#<alt x>
#<alt (+ x (* -1 (/ (* y z) t)))>
#<alt (+ x (* z (+ (* -1 (/ y t)) (* -1/2 (/ (* y z) t)))))>
#<alt (+ x (* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ y t)) (* -1/6 (/ (* y z) t)))))))>
#<alt (+ x (* y (- (/ 1 t) (/ (exp z) t))))>
#<alt (+ x (* y (- (/ 1 t) (/ (exp z) t))))>
#<alt (+ x (* y (- (/ 1 t) (/ (exp z) t))))>
#<alt (+ x (* y (- (/ 1 t) (/ (exp z) t))))>
#<alt (+ x (* y (- (/ 1 t) (/ (exp z) t))))>
#<alt (+ x (* y (- (/ 1 t) (/ (exp z) t))))>
#<alt (+ x (* y (- (/ 1 t) (/ (exp z) t))))>
#<alt (+ x (* y (- (/ 1 t) (/ (exp z) t))))>
#<alt (* y (- (/ 1 t) (/ (exp z) t)))>
#<alt (+ x (* y (- (/ 1 t) (/ (exp z) t))))>
#<alt (+ x (* y (- (/ 1 t) (/ (exp z) t))))>
#<alt (+ x (* y (- (/ 1 t) (/ (exp z) t))))>
#<alt x>
#<alt (* x (+ 1 (/ (* y (- (/ 1 t) (/ (exp z) t))) x)))>
#<alt (* x (+ 1 (/ (* y (- (/ 1 t) (/ (exp z) t))) x)))>
#<alt (* x (+ 1 (/ (* y (- (/ 1 t) (/ (exp z) t))) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (/ 1 t) (/ (exp z) t))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (/ 1 t) (/ (exp z) t))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (/ 1 t) (/ (exp z) t))) x)) 1)))>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
#<alt (/ 1 t)>
#<alt (+ (/ 1 t) (/ z t))>
#<alt (+ (* z (+ (* 1/2 (/ z t)) (/ 1 t))) (/ 1 t))>
#<alt (+ (* z (+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t))) (/ 1 t))>
#<alt (/ (exp z) t)>
#<alt (/ (exp z) t)>
#<alt (/ (exp z) t)>
#<alt (/ (exp z) t)>
#<alt (/ (exp z) t)>
#<alt (/ (exp z) t)>
#<alt (/ (exp z) t)>
#<alt (/ (exp z) t)>
#<alt (/ (exp z) t)>
#<alt (/ (exp z) t)>
#<alt (/ (exp z) t)>
#<alt (/ (exp z) t)>
#<alt (/ (exp z) t)>
#<alt (/ (exp z) t)>
#<alt (/ (exp z) t)>
#<alt (/ (exp z) t)>
#<alt (/ (exp z) t)>
#<alt (/ (exp z) t)>
#<alt (/ (exp z) t)>
#<alt (/ (exp z) t)>
#<alt z>
#<alt (* z (+ 1 (* 1/2 z)))>
#<alt (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))>
#<alt (* z (+ 1 (* z (+ 1/2 (* z (+ 1/6 (* 1/24 z)))))))>
#<alt (- (exp z) 1)>
#<alt (- (exp z) 1)>
#<alt (- (exp z) 1)>
#<alt (- (exp z) 1)>
#<alt (- (exp z) 1)>
#<alt (- (exp z) 1)>
#<alt (- (exp z) 1)>
#<alt (- (exp z) 1)>
#<alt (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))>
#<alt (- x (/ (log (+ 1 (* y (- (exp z) 1)))) t))>
#<alt (- x (/ (log (+ 1 (* y (- (exp z) 1)))) t))>
#<alt (- x (/ (log (+ 1 (* y (- (exp z) 1)))) t))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)))))>
#<alt (* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)))))>
#<alt (* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)))))>
#<alt x>
#<alt (* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1)))>
#<alt (* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1)))>
#<alt (* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1)))>
#<alt x>
#<alt (+ x (* y (- (/ 1 t) (/ (exp z) t))))>
#<alt (+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t))))>
#<alt (+ 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))))>
#<alt (- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t)))>
#<alt (- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))>
#<alt (- (+ 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))))>
#<alt (- (+ 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)))))>
#<alt (- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (* -1 (- (exp z) 1))) t)))>
#<alt (- x (+ (* -1 (/ (log (/ -1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (* -1 (- (exp z) 1))) t))))>
#<alt (- (+ 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)))>
#<alt (- (+ 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)))>
#<alt x>
#<alt (+ x (* -1 (/ (* y z) t)))>
#<alt (+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))))>
#<alt (+ 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))))>
#<alt (- x (/ (log (+ 1 (* y (- (exp z) 1)))) t))>
#<alt (- x (/ (log (+ 1 (* y (- (exp z) 1)))) t))>
#<alt (- x (/ (log (+ 1 (* y (- (exp z) 1)))) t))>
#<alt (- x (/ (log (+ 1 (* y (- (exp z) 1)))) t))>
#<alt (- x (/ (log (+ 1 (* y (- (exp z) 1)))) t))>
#<alt (- x (/ (log (+ 1 (* y (- (exp z) 1)))) t))>
#<alt (- x (/ (log (+ 1 (* y (- (exp z) 1)))) t))>
#<alt (- x (/ (log (+ 1 (* y (- (exp z) 1)))) t))>
#<alt (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))>
#<alt (/ (- (* t x) (log (+ 1 (* y (- (exp z) 1))))) t)>
#<alt (/ (- (* t x) (log (+ 1 (* y (- (exp z) 1))))) t)>
#<alt (/ (- (* t x) (log (+ 1 (* y (- (exp z) 1))))) t)>
#<alt x>
#<alt (+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))>
#<alt (+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))>
#<alt (+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))>
#<alt x>
#<alt (+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))>
#<alt (+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))>
#<alt (+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t)))>
#<alt (* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t)))>
#<alt (* 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)))>
#<alt (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)>
#<alt (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))>
#<alt (- (+ (* -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)))))>
#<alt (- (+ (* -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))))))>
#<alt (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)>
#<alt (+ (* -1 (/ (log (/ -1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (* -1 (- (exp z) 1))) t)))>
#<alt (+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (- (* 1/2 (/ 1 (* t (* y (pow (- (exp z) 1) 2))))) (/ 1 (* t (- (exp z) 1)))) y)) (/ (log (* -1 (- (exp z) 1))) t)))>
#<alt (+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* t (* y (pow (- (exp z) 1) 3))))) (* 1/2 (/ 1 (* t (pow (- (exp z) 1) 2))))) y)) (/ 1 (* t (- (exp z) 1)))) y)) (/ (log (* -1 (- (exp z) 1))) t)))>
#<alt (/ (* y z) t)>
#<alt (* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))>
#<alt (* 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)))>
#<alt (* 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)))>
#<alt (/ (log (+ 1 (* y (- (exp z) 1)))) t)>
#<alt (/ (log (+ 1 (* y (- (exp z) 1)))) t)>
#<alt (/ (log (+ 1 (* y (- (exp z) 1)))) t)>
#<alt (/ (log (+ 1 (* y (- (exp z) 1)))) t)>
#<alt (/ (log (+ 1 (* y (- (exp z) 1)))) t)>
#<alt (/ (log (+ 1 (* y (- (exp z) 1)))) t)>
#<alt (/ (log (+ 1 (* y (- (exp z) 1)))) t)>
#<alt (/ (log (+ 1 (* y (- (exp z) 1)))) t)>
#<alt (/ (log (+ 1 (* y (- (exp z) 1)))) t)>
#<alt (/ (log (+ 1 (* y (- (exp z) 1)))) t)>
#<alt (/ (log (+ 1 (* y (- (exp z) 1)))) t)>
#<alt (/ (log (+ 1 (* y (- (exp z) 1)))) t)>
#<alt (/ (log (+ 1 (* y (- (exp z) 1)))) t)>
#<alt (/ (log (+ 1 (* y (- (exp z) 1)))) t)>
#<alt (/ (log (+ 1 (* y (- (exp z) 1)))) t)>
#<alt (/ (log (+ 1 (* y (- (exp z) 1)))) t)>
#<alt (/ (log (+ 1 (* y (- (exp z) 1)))) t)>
#<alt (/ (log (+ 1 (* y (- (exp z) 1)))) t)>
#<alt (/ (log (+ 1 (* y (- (exp z) 1)))) t)>
#<alt (/ (log (+ 1 (* y (- (exp z) 1)))) t)>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1))>
#<alt (* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1))>
#<alt (* 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))>
#<alt (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y))))>
#<alt (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1)))))>
#<alt (- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2))))>
#<alt (- (+ (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)))))>
#<alt (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y))))>
#<alt (+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp z) 1)))))>
#<alt (+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp z) 1) 2)))) (/ 1 (- (exp z) 1))) y))))>
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#<alt (* y z)>
#<alt (* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))))>
#<alt (* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))>
#<alt (* 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)))))))))))>
#<alt (log (+ 1 (* y (- (exp z) 1))))>
#<alt (log (+ 1 (* y (- (exp z) 1))))>
#<alt (log (+ 1 (* y (- (exp z) 1))))>
#<alt (log (+ 1 (* y (- (exp z) 1))))>
#<alt (log (+ 1 (* y (- (exp z) 1))))>
#<alt (log (+ 1 (* y (- (exp z) 1))))>
#<alt (log (+ 1 (* y (- (exp z) 1))))>
#<alt (log (+ 1 (* y (- (exp z) 1))))>
#<alt 1>
#<alt (+ 1 z)>
#<alt (+ 1 (* z (+ 1 (* 1/2 z))))>
#<alt (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))>
#<alt (exp z)>
#<alt (exp z)>
#<alt (exp z)>
#<alt (exp z)>
#<alt (exp z)>
#<alt (exp z)>
#<alt (exp z)>
#<alt (exp z)>
Calls

126 calls:

TimeVariablePointExpression
62.0ms
z
@-inf
(- x (/ (log (+ 1 (* y (+ -1 (exp z))))) t))
28.0ms
t
@0
(/ (log (+ 1 (* y (+ -1 (exp z))))) t)
19.0ms
z
@inf
(/ (* y (- (exp z) 1)) t)
18.0ms
z
@inf
(- x (/ (log (+ 1 (* y (+ -1 (exp z))))) t))
6.0ms
t
@inf
(/ (log (+ 1 (* y (+ -1 (exp z))))) t)

rewrite441.0ms (2.2%)

Memory
-30.9MiB live, 689.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 828×accelerator-lowering-fma.f32
4 828×accelerator-lowering-fma.f64
4 622×/-lowering-/.f32
4 622×/-lowering-/.f64
4 130×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032140
1225140
22267140
08544116
Stop Event
1×iter limit
1×node limit
Counts
17 → 673
Calls
Call 1
Inputs
(- x (/ (* y (- (exp z) 1)) t))
(/ (* y (- (exp z) 1)) t)
(- (exp z) 1)
(* y (- (exp z) 1))
(- (/ (* (* -1/2 z) (* y (- 1 y))) t) (/ y t))
(* (* -1/2 z) (* y (- 1 y)))
(+ (* z (- (/ (* (* -1/2 z) (* y (- 1 y))) t) (/ y t))) x)
(/ (* (* -1/2 z) (* y (- 1 y))) t)
(- (/ 1 t) (/ (exp z) t))
(+ (* y (- (/ 1 t) (/ (exp z) t))) x)
(/ 1 t)
(/ (exp z) t)
(+ -1 (exp z))
(- x (/ (log (+ 1 (* y (+ -1 (exp z))))) t))
(/ (log (+ 1 (* y (+ -1 (exp z))))) t)
(log (+ 1 (* y (+ -1 (exp z)))))
(exp z)
Outputs
(+.f64 x (/.f64 (*.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t)))
(+.f64 (/.f64 (*.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t)) x)
(-.f64 x (*.f64 (expm1.f64 z) (/.f64 y t)))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (fma.f64 (expm1.f64 z) (/.f64 y t) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) #s(literal 3 binary64)) (fma.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) (fma.f64 (expm1.f64 z) (/.f64 y t) x) (*.f64 x x))))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 (expm1.f64 z) (/.f64 y t) x)) (/.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) #s(literal 2 binary64)) (fma.f64 (expm1.f64 z) (/.f64 y t) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t)))) (/.f64 (pow.f64 (*.f64 (expm1.f64 z) (/.f64 y t)) #s(literal 2 binary64)) (-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t)))))
(fma.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)) x)
(fma.f64 (/.f64 y t) (/.f64 (neg.f64 (expm1.f64 z)) #s(literal 1 binary64)) x)
(fma.f64 #s(literal -1 binary64) (*.f64 (expm1.f64 z) (/.f64 y t)) x)
(fma.f64 (*.f64 y (expm1.f64 z)) (neg.f64 (/.f64 #s(literal 1 binary64) t)) x)
(fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (expm1.f64 z) t) x)
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(pow.f64 (/.f64 (+.f64 x (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t) #s(literal 2 binary64)))) #s(literal -1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) (pow.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) t)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t) (+.f64 x (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t))))))
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(exp.f64 (*.f64 (log.f64 (/.f64 t (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) t)) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) t)))
(-.f64 (/.f64 (log1p.f64 (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 3 binary64))) t) (/.f64 (log1p.f64 (*.f64 (*.f64 y (expm1.f64 z)) (-.f64 (*.f64 y (expm1.f64 z)) #s(literal 1 binary64)))) t))
(-.f64 (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y (expm1.f64 z)) #s(literal 2 binary64)))) t) (/.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z)))) t))
(neg.f64 (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) t)))
(/.f64 #s(literal 1 binary64) (/.f64 t (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))) #s(literal 1 binary64)))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 t (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))) #s(literal 1 binary64))))
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) t))
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(*.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t))
(*.f64 (/.f64 #s(literal 1 binary64) t) (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))))
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(*.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) t))
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(log1p.f64 (*.f64 y (expm1.f64 z)))
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(*.f64 #s(literal 1 binary64) (exp.f64 z))

simplify527.0ms (2.7%)

Memory
8.6MiB live, 840.8MiB allocated
Algorithm
1×egg-herbie
Rules
9 270×accelerator-lowering-fma.f32
9 270×accelerator-lowering-fma.f64
6 424×*-lowering-*.f32
6 424×*-lowering-*.f64
2 530×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05746116
118165953
254725918
082495048
Stop Event
1×iter limit
1×node limit
Counts
504 → 504
Calls
Call 1
Inputs
(* -1 (/ (* y (- (exp z) 1)) t))
(- x (/ (* y (- (exp z) 1)) t))
(- x (/ (* y (- (exp z) 1)) t))
(- x (/ (* y (- (exp z) 1)) t))
x
(* x (+ 1 (* -1 (/ (* y (- (exp z) 1)) (* t x)))))
(* x (+ 1 (* -1 (/ (* y (- (exp z) 1)) (* t x)))))
(* x (+ 1 (* -1 (/ (* y (- (exp z) 1)) (* t x)))))
x
(* -1 (* x (- (/ (* y (- (exp z) 1)) (* t x)) 1)))
(* -1 (* x (- (/ (* y (- (exp z) 1)) (* t x)) 1)))
(* -1 (* x (- (/ (* y (- (exp z) 1)) (* t x)) 1)))
x
(+ x (* y (- (/ 1 t) (/ (exp z) t))))
(+ x (* y (- (/ 1 t) (/ (exp z) t))))
(+ x (* y (- (/ 1 t) (/ (exp z) t))))
(* y (- (/ 1 t) (/ (exp z) t)))
(* y (- (+ (/ 1 t) (/ x y)) (/ (exp z) t)))
(* y (- (+ (/ 1 t) (/ x y)) (/ (exp z) t)))
(* y (- (+ (/ 1 t) (/ x y)) (/ (exp z) t)))
(* -1 (/ (* y (- (exp z) 1)) t))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (/ (- (exp z) 1) t)))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (/ (- (exp z) 1) t)))))
(* -1 (* y (- (* -1 (/ x y)) (* -1 (/ (- (exp z) 1) t)))))
x
(+ x (* -1 (/ (* y z) t)))
(+ x (* z (- (* -1/2 (/ (* y z) t)) (/ y t))))
(+ x (* z (- (* z (- (* -1/6 (/ (* y z) t)) (* 1/2 (/ y t)))) (/ y t))))
(- x (/ (* y (- (exp z) 1)) t))
(- x (/ (* y (- (exp z) 1)) t))
(- x (/ (* y (- (exp z) 1)) t))
(- x (/ (* y (- (exp z) 1)) t))
(- x (/ (* y (- (exp z) 1)) t))
(- x (/ (* y (- (exp z) 1)) t))
(- x (/ (* y (- (exp z) 1)) t))
(- x (/ (* y (- (exp z) 1)) t))
(* -1 (/ (* y (- (exp z) 1)) t))
(/ (- (* t x) (* y (- (exp z) 1))) t)
(/ (- (* t x) (* y (- (exp z) 1))) t)
(/ (- (* t x) (* y (- (exp z) 1))) t)
x
(+ x (* -1 (/ (* y (- (exp z) 1)) t)))
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(+ x (* -1 (/ (* y (- (exp z) 1)) t)))
x
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(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y z) t)
(* z (+ (* 1/2 (/ (* y z) t)) (/ y t)))
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(* z (+ (* z (+ (* 1/2 (/ y t)) (* z (+ (* 1/24 (/ (* y z) t)) (* 1/6 (/ y t)))))) (/ y t)))
(/ (* y (- (exp z) 1)) t)
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(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
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(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) t)
(/ (* y (- (exp z) 1)) 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)))))))
(- (exp z) 1)
(- (exp z) 1)
(- (exp z) 1)
(- (exp z) 1)
(- (exp z) 1)
(- (exp z) 1)
(- (exp z) 1)
(- (exp z) 1)
(* y (- (exp z) 1))
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(* y z)
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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)))))))
(* y (- (exp z) 1))
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(* y (- (exp z) 1))
(* y (- (exp z) 1))
(* y (- (exp z) 1))
(* y (- (exp z) 1))
(* y (- (exp z) 1))
(* y (- (exp z) 1))
(* -1 (/ y t))
(- (* -1/2 (/ (* y (* z (- 1 y))) t)) (/ y t))
(- (* -1/2 (/ (* y (* z (- 1 y))) t)) (/ y t))
(- (* -1/2 (/ (* y (* z (- 1 y))) t)) (/ y t))
(* -1/2 (/ (* y (* z (- 1 y))) t))
(* z (+ (* -1 (/ y (* t z))) (* -1/2 (/ (* y (- 1 y)) t))))
(* z (+ (* -1 (/ y (* t z))) (* -1/2 (/ (* y (- 1 y)) t))))
(* z (+ (* -1 (/ y (* t z))) (* -1/2 (/ (* y (- 1 y)) t))))
(* -1/2 (/ (* y (* z (- 1 y))) t))
(* -1 (* z (+ (* 1/2 (/ (* y (- 1 y)) t)) (/ y (* t z)))))
(* -1 (* z (+ (* 1/2 (/ (* y (- 1 y)) t)) (/ y (* t z)))))
(* -1 (* z (+ (* 1/2 (/ (* y (- 1 y)) t)) (/ y (* t z)))))
(* y (- (* -1/2 (/ z t)) (/ 1 t)))
(* y (- (+ (* -1/2 (/ z t)) (* 1/2 (/ (* y z) t))) (/ 1 t)))
(* y (- (+ (* -1/2 (/ z t)) (* 1/2 (/ (* y z) t))) (/ 1 t)))
(* y (- (+ (* -1/2 (/ z t)) (* 1/2 (/ (* y z) t))) (/ 1 t)))
(* 1/2 (/ (* (pow y 2) z) t))
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(/ (- (* -1/2 (* y (* z (- 1 y)))) y) t)
(/ (- (* -1/2 (* y (* z (- 1 y)))) y) t)
(/ (- (* -1/2 (* y (* z (- 1 y)))) y) t)
(/ (- (* -1/2 (* y (* z (- 1 y)))) y) t)
(/ (- (* -1/2 (* y (* z (- 1 y)))) y) t)
(/ (- (* -1/2 (* y (* z (- 1 y)))) y) t)
(/ (- (* -1/2 (* y (* z (- 1 y)))) y) t)
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(* -1 (/ (- (* 1/2 (* y (* z (- 1 y)))) (* -1 y)) t))
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(* -1/2 (* y z))
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(* y (+ (* -1/2 z) (* 1/2 (* y z))))
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(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(-.f64 x (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(-.f64 x (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t))
x
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(-.f64 x (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(-.f64 x (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t))
(+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))
(-.f64 x (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t))
(/ (* y (- (exp z) 1)) t)
(/.f64 (*.f64 y (expm1.f64 z)) t)
(* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t)))
(*.f64 y (fma.f64 y (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) t) (/.f64 (expm1.f64 z) 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)))
(*.f64 y (fma.f64 y (fma.f64 y (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) t)) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) t)) (/.f64 (expm1.f64 z) 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)))
(*.f64 y (fma.f64 y (fma.f64 y (fma.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (/.f64 #s(literal 1/3 binary64) t) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 4 binary64)))) t)) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) t)) (/.f64 (expm1.f64 z) t)))
(/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)
(/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)
(+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))
(+.f64 (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t) (/.f64 #s(literal 1 binary64) (*.f64 y (*.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 (log.f64 (expm1.f64 z)) (log.f64 y)) t) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (expm1.f64 z) t)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (*.f64 t (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))))
(- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (pow (- (exp z) 1) 3))))) (/ (log (- (exp z) 1)) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (pow (- (exp z) 1) 2))))))
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (expm1.f64 z) t))) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 (*.f64 t (*.f64 y y)) y)))) (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t)) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (*.f64 t (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))))
(/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)
(/.f64 (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t)
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (* -1 (- (exp z) 1))) t)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (expm1.f64 z) t))) (/.f64 (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t))
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (- (* 1/2 (/ 1 (* t (* y (pow (- (exp z) 1) 2))))) (/ 1 (* t (- (exp z) 1)))) y)) (/ (log (* -1 (- (exp z) 1))) t)))
(-.f64 (/.f64 (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) (*.f64 t (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (expm1.f64 z) t)))))
(+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* t (* y (pow (- (exp z) 1) 3))))) (* 1/2 (/ 1 (* t (pow (- (exp z) 1) 2))))) y)) (/ 1 (* t (- (exp z) 1)))) y)) (/ (log (* -1 (- (exp z) 1))) t)))
(+.f64 (/.f64 (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) t) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 (*.f64 y t) (pow.f64 (expm1.f64 z) #s(literal 3 binary64))))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y t) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (expm1.f64 z) t))) y))
(/ (* y z) t)
(/.f64 (*.f64 y z) t)
(* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))
(/.f64 (*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) y))) 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)))
(*.f64 z (fma.f64 (*.f64 z #s(literal 1/6 binary64)) (*.f64 (fma.f64 y (*.f64 y #s(literal -3 binary64)) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 2 binary64)) y)) (/.f64 z t)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) y))) 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)))
(*.f64 z (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) y))) y) t) (*.f64 (*.f64 z z) (fma.f64 (*.f64 z (+.f64 y (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 y (*.f64 (*.f64 y y) #s(literal 12 binary64)) (*.f64 (*.f64 y y) #s(literal -7 binary64)))))) (/.f64 #s(literal 1/24 binary64) t) (*.f64 (fma.f64 y (*.f64 y #s(literal -3 binary64)) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 2 binary64)) y)) (/.f64 #s(literal 1/6 binary64) t))))))
(/ (log (+ 1 (* y (- (exp z) 1)))) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (+ 1 (* y (- (exp z) 1)))) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (+ 1 (* y (- (exp z) 1)))) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (+ 1 (* y (- (exp z) 1)))) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (+ 1 (* y (- (exp z) 1)))) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (+ 1 (* y (- (exp z) 1)))) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (+ 1 (* y (- (exp z) 1)))) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (+ 1 (* y (- (exp z) 1)))) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (+ 1 (* y (- (exp z) 1)))) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (+ 1 (* y (- (exp z) 1)))) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (+ 1 (* y (- (exp z) 1)))) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (+ 1 (* y (- (exp z) 1)))) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (+ 1 (* y (- (exp z) 1)))) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (+ 1 (* y (- (exp z) 1)))) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (+ 1 (* y (- (exp z) 1)))) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (+ 1 (* y (- (exp z) 1)))) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (+ 1 (* y (- (exp z) 1)))) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (+ 1 (* y (- (exp z) 1)))) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (+ 1 (* y (- (exp z) 1)))) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(/ (log (+ 1 (* y (- (exp z) 1)))) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(* y (- (exp z) 1))
(*.f64 y (expm1.f64 z))
(* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1))
(*.f64 y (fma.f64 y (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))) (expm1.f64 z)))
(* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1))
(*.f64 y (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 y #s(literal 1/3 binary64)))) (expm1.f64 z)))
(* 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 y (fma.f64 y (fma.f64 y (fma.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 4 binary64))))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) (expm1.f64 z)))
(+ (log (- (exp z) 1)) (* -1 (log (/ 1 y))))
(+.f64 (log.f64 (expm1.f64 z)) (log.f64 y))
(+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1)))))
(+.f64 (log.f64 (expm1.f64 z)) (+.f64 (log.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 y (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 (log.f64 (expm1.f64 z)) (+.f64 (log.f64 y) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 y y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))))))
(- (+ (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 (log.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z)))) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 (expm1.f64 z) #s(literal 3 binary64)) (*.f64 y (*.f64 y y))))) (-.f64 (log.f64 (expm1.f64 z)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))))
(+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y)))
(+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp z) 1)))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp z) 1) 2)))) (/ 1 (- (exp z) 1))) y))))
(-.f64 (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z))) (log.f64 (/.f64 #s(literal -1 binary64) y))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 y y) (pow.f64 (expm1.f64 z) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 y (expm1.f64 z)))))
(+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp z) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp z) 1) 2)))) y)) (/ 1 (- (exp z) 1))) y))))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (exp.f64 z))) (-.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 3 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 y (pow.f64 (expm1.f64 z) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (expm1.f64 z))) y) (log.f64 (/.f64 #s(literal -1 binary64) y))))
(* y z)
(*.f64 y z)
(* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))))
(*.f64 z (fma.f64 #s(literal 1/2 binary64) (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) y))) y))
(* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))
(*.f64 z (fma.f64 z (fma.f64 (*.f64 z #s(literal 1/6 binary64)) (fma.f64 y (*.f64 y #s(literal -3 binary64)) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) y))) y))
(* 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 z (fma.f64 z (fma.f64 z (fma.f64 #s(literal 1/6 binary64) (fma.f64 y (*.f64 y #s(literal -3 binary64)) (fma.f64 (*.f64 y y) (*.f64 y #s(literal 2 binary64)) y)) (*.f64 (*.f64 z #s(literal 1/24 binary64)) (+.f64 y (fma.f64 #s(literal -6 binary64) (pow.f64 y #s(literal 4 binary64)) (fma.f64 y (*.f64 (*.f64 y y) #s(literal 12 binary64)) (*.f64 (*.f64 y y) #s(literal -7 binary64))))))) (*.f64 (*.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 1 binary64) y))) y))
(log (+ 1 (* y (- (exp z) 1))))
(log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))
(log (+ 1 (* y (- (exp z) 1))))
(log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))
(log (+ 1 (* y (- (exp z) 1))))
(log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))
(log (+ 1 (* y (- (exp z) 1))))
(log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))
(log (+ 1 (* y (- (exp z) 1))))
(log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))
(log (+ 1 (* y (- (exp z) 1))))
(log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))
(log (+ 1 (* y (- (exp z) 1))))
(log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))
(log (+ 1 (* y (- (exp z) 1))))
(log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 z)
(+.f64 z #s(literal 1 binary64))
(+ 1 (* z (+ 1 (* 1/2 z))))
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)
(exp z)
(exp.f64 z)

eval193.0ms (1%)

Memory
15.2MiB live, 369.1MiB allocated
Compiler

Compiled 23 475 to 2 723 computations (88.4% saved)

prune159.0ms (0.8%)

Memory
11.0MiB live, 327.1MiB allocated
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New1 179131 192
Fresh729
Picked325
Done000
Total1 189171 206
Accuracy
99.3%
Counts
1 206 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.4%
(fma.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) t)) x)
67.7%
(fma.f64 z (-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 z #s(literal 1/2 binary64)))) t) (/.f64 y t)) x)
74.4%
(fma.f64 y (-.f64 #s(literal 0 binary64) (/.f64 z t)) x)
85.2%
(fma.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)) x)
68.3%
(-.f64 x (/.f64 (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) t))
81.6%
(-.f64 x (/.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) (expm1.f64 z) #s(literal 1 binary64)) (expm1.f64 z))) t))
✓83.8%
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
▶73.0%
(-.f64 x (/.f64 (*.f64 y z) t))
70.3%
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) t))
71.5%
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (*.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) t))
▶73.4%
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))))) t))
▶97.7%
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
▶79.1%
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
12.9%
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) y)))) y) (/.f64 z t))
▶3.4%
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (*.f64 y (*.f64 z z)) t))
71.3%
(*.f64 y (-.f64 (/.f64 x y) (/.f64 (expm1.f64 z) t)))
✓71.4%
x
Compiler

Compiled 497 to 332 computations (33.2% saved)

simplify543.0ms (2.8%)

Memory
-19.7MiB live, 346.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))
✓cost-diff0
(log1p.f64 (*.f64 y (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)))))
✓cost-diff0
(/.f64 (log1p.f64 (*.f64 y (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))))) t)
✓cost-diff0
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))))) t))
✓cost-diff-64
(*.f64 y z)
✓cost-diff0
(log1p.f64 (*.f64 y z))
✓cost-diff0
(/.f64 (log1p.f64 (*.f64 y z)) t)
✓cost-diff0
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
✓cost-diff-64
(*.f64 y (*.f64 z z))
✓cost-diff-64
(*.f64 y #s(literal 1/2 binary64))
✓cost-diff-64
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (*.f64 y (*.f64 z z)) t))
✓cost-diff0
(/.f64 (*.f64 y (*.f64 z z)) t)
✓cost-diff-64
(*.f64 y z)
✓cost-diff0
(/.f64 (*.f64 y z) t)
✓cost-diff0
(-.f64 x (/.f64 (*.f64 y z) t))
✓cost-diff0
(expm1.f64 z)
✓cost-diff0
(log1p.f64 (*.f64 y (expm1.f64 z)))
✓cost-diff0
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
✓cost-diff0
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
Rules
4 264×accelerator-lowering-fma.f32
4 264×accelerator-lowering-fma.f64
3 160×*-lowering-*.f32
3 160×*-lowering-*.f64
2 210×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033199
174199
2173199
3394199
4794199
51021199
61233199
71523199
82050199
92630199
104134199
115310199
125537199
135556199
145566199
155569199
165900199
175909199
185909199
195909199
207265199
217907199
227937199
237937199
247937199
257937199
267937199
277937199
287993199
07993165
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- x (/ (log (+ 1 (* y (- (exp z) 1)))) t))
x
(/ (log (+ 1 (* y (- (exp z) 1)))) t)
(log (+ 1 (* y (- (exp z) 1))))
(* y (- (exp z) 1))
y
(- (exp z) 1)
z
t
(- x (/ (* y z) t))
x
(/ (* y z) t)
(* y z)
y
z
t
(* (* y 1/2) (/ (* y (* z z)) t))
(* y 1/2)
y
1/2
(/ (* y (* z z)) t)
(* y (* z z))
(* z z)
z
t
(- x (/ (log (+ 1 (* y z))) t))
x
(/ (log (+ 1 (* y z))) t)
(log (+ 1 (* y z)))
(* y z)
y
z
t
(- x (/ (log (+ 1 (* y (* z (+ (* z 1/2) 1))))) t))
x
(/ (log (+ 1 (* y (* z (+ (* z 1/2) 1))))) t)
(log (+ 1 (* y (* z (+ (* z 1/2) 1)))))
(* y (* z (+ (* z 1/2) 1)))
y
(* z (+ (* z 1/2) 1))
z
(+ (* z 1/2) 1)
1/2
1
t
Outputs
(- x (/ (log (+ 1 (* y (- (exp z) 1)))) t))
(-.f64 x (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t))
x
(/ (log (+ 1 (* y (- (exp z) 1)))) t)
(/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) t)
(log (+ 1 (* y (- (exp z) 1))))
(log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64)))
(* y (- (exp z) 1))
(fma.f64 y (expm1.f64 z) #s(literal 0 binary64))
y
(- (exp z) 1)
(expm1.f64 z)
z
t
(- x (/ (* y z) t))
(-.f64 x (/.f64 (fma.f64 y z #s(literal 0 binary64)) t))
x
(/ (* y z) t)
(/.f64 (fma.f64 y z #s(literal 0 binary64)) t)
(* y z)
(fma.f64 y z #s(literal 0 binary64))
y
z
t
(* (* y 1/2) (/ (* y (* z z)) t))
(fma.f64 z (fma.f64 (/.f64 (fma.f64 y z #s(literal 0 binary64)) t) (fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* y 1/2)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
y
1/2
#s(literal 1/2 binary64)
(/ (* y (* z z)) t)
(fma.f64 y (fma.f64 z (/.f64 z t) #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (* z z))
(fma.f64 y (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))
(* z z)
(fma.f64 z z #s(literal 0 binary64))
z
t
(- x (/ (log (+ 1 (* y z))) t))
(-.f64 x (/.f64 (log.f64 (fma.f64 y z #s(literal 1 binary64))) t))
x
(/ (log (+ 1 (* y z))) t)
(/.f64 (log.f64 (fma.f64 y z #s(literal 1 binary64))) t)
(log (+ 1 (* y z)))
(log.f64 (fma.f64 y z #s(literal 1 binary64)))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
y
z
t
(- x (/ (log (+ 1 (* y (* z (+ (* z 1/2) 1))))) t))
(-.f64 x (/.f64 (log.f64 (fma.f64 y (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))) t))
x
(/ (log (+ 1 (* y (* z (+ (* z 1/2) 1))))) t)
(/.f64 (log.f64 (fma.f64 y (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))) t)
(log (+ 1 (* y (* z (+ (* z 1/2) 1)))))
(log.f64 (fma.f64 y (fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)))
(* y (* z (+ (* z 1/2) 1)))
(fma.f64 (fma.f64 y z #s(literal 0 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))
y
(* z (+ (* z 1/2) 1))
(fma.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))
z
(+ (* z 1/2) 1)
(fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
t

localize98.0ms (0.5%)

Memory
34.7MiB live, 222.3MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(log1p.f64 (*.f64 y (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)))))
✓accuracy100.0%
(*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)))
✓accuracy99.6%
(*.f64 y (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))))
✓accuracy96.7%
(/.f64 (log1p.f64 (*.f64 y (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))))) t)
✓accuracy100.0%
(*.f64 y z)
✓accuracy100.0%
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
✓accuracy100.0%
(log1p.f64 (*.f64 y z))
✓accuracy96.7%
(/.f64 (log1p.f64 (*.f64 y z)) t)
✓accuracy100.0%
(*.f64 y #s(literal 1/2 binary64))
✓accuracy96.4%
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (*.f64 y (*.f64 z z)) t))
✓accuracy93.1%
(/.f64 (*.f64 y (*.f64 z z)) t)
✓accuracy93.1%
(*.f64 y (*.f64 z z))
✓accuracy100.0%
(-.f64 x (/.f64 (*.f64 y z) t))
✓accuracy100.0%
(*.f64 y z)
✓accuracy96.7%
(/.f64 (*.f64 y z) t)
✓accuracy100.0%
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
✓accuracy100.0%
(*.f64 y (expm1.f64 z))
✓accuracy98.9%
(log1p.f64 (*.f64 y (expm1.f64 z)))
✓accuracy96.7%
(/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)
Samples
51.0ms193×0valid
13.0ms63×0invalid
Compiler

Compiled 167 to 31 computations (81.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 15.0ms (33.9% of total)
ival-log1p: 12.0ms (27.1% of total)
ival-div: 8.0ms (18.1% of total)
ival-sub: 6.0ms (13.6% of total)
ival-expm1: 2.0ms (4.5% of total)
ival-add: 1.0ms (2.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series196.0ms (1%)

Memory
5.3MiB live, 276.6MiB allocated
Counts
21 → 624
Calls
Call 1
Inputs
#<alt (- x (/ (log (+ 1 (* y (- (exp z) 1)))) t))>
#<alt (/ (log (+ 1 (* y (- (exp z) 1)))) t)>
#<alt (log (+ 1 (* y (- (exp z) 1))))>
#<alt (- (exp z) 1)>
#<alt (- x (/ (* y z) t))>
#<alt (/ (* y z) t)>
#<alt (* y z)>
#<alt (/ (* y (* z z)) t)>
#<alt (* (* y 1/2) (/ (* y (* z z)) t))>
#<alt (* y 1/2)>
#<alt (* y (* z z))>
#<alt (- x (/ (log (+ 1 (* y z))) t))>
#<alt (/ (log (+ 1 (* y z))) t)>
#<alt (log (+ 1 (* y z)))>
#<alt (- x (/ (log (+ 1 (* y (* z (+ (* z 1/2) 1))))) t))>
#<alt (/ (log (+ 1 (* y (* z (+ (* z 1/2) 1))))) t)>
#<alt (log (+ 1 (* y (* z (+ (* z 1/2) 1)))))>
#<alt (+ (* z 1/2) 1)>
#<alt (* y (- (exp z) 1))>
#<alt (* y (* z (+ (* z 1/2) 1)))>
#<alt (* z (+ (* z 1/2) 1))>
Outputs
#<alt (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))>
#<alt (- x (/ (log (+ 1 (* y (- (exp z) 1)))) t))>
#<alt (- x (/ (log (+ 1 (* y (- (exp z) 1)))) t))>
#<alt (- x (/ (log (+ 1 (* y (- (exp z) 1)))) t))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)))))>
#<alt (* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)))))>
#<alt (* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)))))>
#<alt x>
#<alt (* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1)))>
#<alt (* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1)))>
#<alt (* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1)))>
#<alt x>
#<alt (+ x (* y (- (/ 1 t) (/ (exp z) t))))>
#<alt (+ x (* y (- (+ (* 1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ 1 t)) (/ (exp z) t))))>
#<alt (+ 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))))>
#<alt (- x (+ (* -1 (/ (log (/ 1 y)) t)) (/ (log (- (exp z) 1)) t)))>
#<alt (- x (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t))))>
#<alt (- (+ 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))))>
#<alt (- (+ 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)))))>
#<alt (- x (+ (* -1 (/ (log (/ -1 y)) t)) (/ (log (* -1 (- (exp z) 1))) t)))>
#<alt (- x (+ (* -1 (/ (log (/ -1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (* -1 (- (exp z) 1))) t))))>
#<alt (- (+ 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)))>
#<alt (- (+ 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)))>
#<alt x>
#<alt (+ x (* -1 (/ (* y z) t)))>
#<alt (+ x (* z (- (* -1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t))))>
#<alt (+ 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))))>
#<alt (- x (/ (log (+ 1 (* y (- (exp z) 1)))) t))>
#<alt (- x (/ (log (+ 1 (* y (- (exp z) 1)))) t))>
#<alt (- x (/ (log (+ 1 (* y (- (exp z) 1)))) t))>
#<alt (- x (/ (log (+ 1 (* y (- (exp z) 1)))) t))>
#<alt (- x (/ (log (+ 1 (* y (- (exp z) 1)))) t))>
#<alt (- x (/ (log (+ 1 (* y (- (exp z) 1)))) t))>
#<alt (- x (/ (log (+ 1 (* y (- (exp z) 1)))) t))>
#<alt (- x (/ (log (+ 1 (* y (- (exp z) 1)))) t))>
#<alt (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))>
#<alt (/ (- (* t x) (log (+ 1 (* y (- (exp z) 1))))) t)>
#<alt (/ (- (* t x) (log (+ 1 (* y (- (exp z) 1))))) t)>
#<alt (/ (- (* t x) (log (+ 1 (* y (- (exp z) 1))))) t)>
#<alt x>
#<alt (+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))>
#<alt (+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))>
#<alt (+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))>
#<alt x>
#<alt (+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))>
#<alt (+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))>
#<alt (+ x (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t)))>
#<alt (/ (* y (- (exp z) 1)) t)>
#<alt (* y (- (+ (* -1/2 (/ (* y (pow (- (exp z) 1) 2)) t)) (/ (exp z) t)) (/ 1 t)))>
#<alt (* y (- (+ (* y (+ (* -1/2 (/ (pow (- (exp z) 1) 2) t)) (* 1/3 (/ (* y (pow (- (exp z) 1) 3)) t)))) (/ (exp z) t)) (/ 1 t)))>
#<alt (* 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)))>
#<alt (/ (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y)))) t)>
#<alt (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (- (exp z) 1)) t)))>
#<alt (- (+ (* -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)))))>
#<alt (- (+ (* -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))))))>
#<alt (/ (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y)))) t)>
#<alt (+ (* -1 (/ (log (/ -1 y)) t)) (+ (/ 1 (* t (* y (- (exp z) 1)))) (/ (log (* -1 (- (exp z) 1))) t)))>
#<alt (+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (- (* 1/2 (/ 1 (* t (* y (pow (- (exp z) 1) 2))))) (/ 1 (* t (- (exp z) 1)))) y)) (/ (log (* -1 (- (exp z) 1))) t)))>
#<alt (+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* t (* y (pow (- (exp z) 1) 3))))) (* 1/2 (/ 1 (* t (pow (- (exp z) 1) 2))))) y)) (/ 1 (* t (- (exp z) 1)))) y)) (/ (log (* -1 (- (exp z) 1))) t)))>
#<alt (/ (* y z) t)>
#<alt (* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))>
#<alt (* 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)))>
#<alt (* 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)))>
#<alt (/ (log (+ 1 (* y (- (exp z) 1)))) t)>
#<alt (/ (log (+ 1 (* y (- (exp z) 1)))) t)>
#<alt (/ (log (+ 1 (* y (- (exp z) 1)))) t)>
#<alt (/ (log (+ 1 (* y (- (exp z) 1)))) t)>
#<alt (/ (log (+ 1 (* y (- (exp z) 1)))) t)>
#<alt (/ (log (+ 1 (* y (- (exp z) 1)))) t)>
#<alt (/ (log (+ 1 (* y (- (exp z) 1)))) t)>
#<alt (/ (log (+ 1 (* y (- (exp z) 1)))) t)>
#<alt (/ (log (+ 1 (* y (- (exp z) 1)))) t)>
#<alt (/ (log (+ 1 (* y (- (exp z) 1)))) t)>
#<alt (/ (log (+ 1 (* y (- (exp z) 1)))) t)>
#<alt (/ (log (+ 1 (* y (- (exp z) 1)))) t)>
#<alt (/ (log (+ 1 (* y (- (exp z) 1)))) t)>
#<alt (/ (log (+ 1 (* y (- (exp z) 1)))) t)>
#<alt (/ (log (+ 1 (* y (- (exp z) 1)))) t)>
#<alt (/ (log (+ 1 (* y (- (exp z) 1)))) t)>
#<alt (/ (log (+ 1 (* y (- (exp z) 1)))) t)>
#<alt (/ (log (+ 1 (* y (- (exp z) 1)))) t)>
#<alt (/ (log (+ 1 (* y (- (exp z) 1)))) t)>
#<alt (/ (log (+ 1 (* y (- (exp z) 1)))) t)>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (+ (exp z) (* -1/2 (* y (pow (- (exp z) 1) 2)))) 1))>
#<alt (* y (- (+ (exp z) (* y (+ (* -1/2 (pow (- (exp z) 1) 2)) (* 1/3 (* y (pow (- (exp z) 1) 3)))))) 1))>
#<alt (* 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))>
#<alt (+ (log (- (exp z) 1)) (* -1 (log (/ 1 y))))>
#<alt (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1)))))>
#<alt (- (+ (log (- (exp z) 1)) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (- (exp z) 1))))) (/ 1/2 (* (pow y 2) (pow (- (exp z) 1) 2))))>
#<alt (- (+ (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)))))>
#<alt (+ (log (* -1 (- (exp z) 1))) (* -1 (log (/ -1 y))))>
#<alt (+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (- (exp z) 1)))))>
#<alt (+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (pow (- (exp z) 1) 2)))) (/ 1 (- (exp z) 1))) y))))>
#<alt (+ (log (* -1 (- (exp z) 1))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (pow (- (exp z) 1) 3)))) (* 1/2 (/ 1 (pow (- (exp z) 1) 2)))) y)) (/ 1 (- (exp z) 1))) y))))>
#<alt (* y z)>
#<alt (* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))))>
#<alt (* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))>
#<alt (* 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)))))))))))>
#<alt (log (+ 1 (* y (- (exp z) 1))))>
#<alt (log (+ 1 (* y (- (exp z) 1))))>
#<alt (log (+ 1 (* y (- (exp z) 1))))>
#<alt (log (+ 1 (* y (- (exp z) 1))))>
#<alt (log (+ 1 (* y (- (exp z) 1))))>
#<alt (log (+ 1 (* y (- (exp z) 1))))>
#<alt (log (+ 1 (* y (- (exp z) 1))))>
#<alt (log (+ 1 (* y (- (exp z) 1))))>
#<alt z>
#<alt (* z (+ 1 (* 1/2 z)))>
#<alt (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))>
#<alt (* z (+ 1 (* z (+ 1/2 (* z (+ 1/6 (* 1/24 z)))))))>
#<alt (- (exp z) 1)>
#<alt (- (exp z) 1)>
#<alt (- (exp z) 1)>
#<alt (- (exp z) 1)>
#<alt (- (exp z) 1)>
#<alt (- (exp z) 1)>
#<alt (- (exp z) 1)>
#<alt (- (exp z) 1)>
#<alt (* -1 (/ (* y z) t))>
#<alt (- x (/ (* y z) t))>
#<alt (- x (/ (* y z) t))>
#<alt (- x (/ (* y z) t))>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ (* y z) (* t x)))))>
#<alt (* x (+ 1 (* -1 (/ (* y z) (* t x)))))>
#<alt (* x (+ 1 (* -1 (/ (* y z) (* t x)))))>
#<alt x>
#<alt (* -1 (* x (- (/ (* y z) (* t x)) 1)))>
#<alt (* -1 (* x (- (/ (* y z) (* t x)) 1)))>
#<alt (* -1 (* x (- (/ (* y z) (* t x)) 1)))>
#<alt x>
#<alt (+ x (* -1 (/ (* y z) t)))>
#<alt (+ x (* -1 (/ (* y z) t)))>
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#<alt (- (+ x (* -1/2 (/ (- (* 4 (/ 1 y)) 4) (* t (pow z 2))))) (+ (* -2 (/ (log (/ 1 z)) t)) (+ (/ 2 (* t z)) (/ (log (* 1/2 y)) t))))>
#<alt (- (+ x (* -1/6 (/ (- 16 (* 24 (/ 1 y))) (* t (pow z 3))))) (+ (* -2 (/ (log (/ 1 z)) t)) (+ (* 1/2 (/ (- (* 4 (/ 1 y)) 4) (* t (pow z 2)))) (+ (/ 2 (* t z)) (/ (log (* 1/2 y)) t)))))>
#<alt (- x (+ (* -2 (/ (log (/ -1 z)) t)) (/ (log (* 1/2 y)) t)))>
#<alt (- x (+ (* -2 (/ (log (/ -1 z)) t)) (+ (* 2 (/ 1 (* t z))) (/ (log (* 1/2 y)) t))))>
#<alt (- (+ x (* -1 (/ (+ (* 1/2 (/ (- (* 4 (/ 1 y)) 4) (* t z))) (* 2 (/ 1 t))) z))) (+ (* -2 (/ (log (/ -1 z)) t)) (/ (log (* 1/2 y)) t)))>
#<alt (- (+ x (* -1 (/ (+ (* -1 (/ (- (* 1/6 (/ (- (* 24 (/ 1 y)) 16) (* t z))) (* 1/2 (/ (- (* 4 (/ 1 y)) 4) t))) z)) (* 2 (/ 1 t))) z))) (+ (* -2 (/ (log (/ -1 z)) t)) (/ (log (* 1/2 y)) t)))>
#<alt (* -1 (/ (log (+ 1 (* y (* z (+ 1 (* 1/2 z)))))) t))>
#<alt (/ (- (* t x) (log (+ 1 (* y (* z (+ 1 (* 1/2 z))))))) t)>
#<alt (/ (- (* t x) (log (+ 1 (* y (* z (+ 1 (* 1/2 z))))))) t)>
#<alt (/ (- (* t x) (log (+ 1 (* y (* z (+ 1 (* 1/2 z))))))) t)>
#<alt x>
#<alt (+ x (* -1 (/ (log (+ 1 (* y (* z (+ 1 (* 1/2 z)))))) t)))>
#<alt (+ x (* -1 (/ (log (+ 1 (* y (* z (+ 1 (* 1/2 z)))))) t)))>
#<alt (+ x (* -1 (/ (log (+ 1 (* y (* z (+ 1 (* 1/2 z)))))) t)))>
#<alt x>
#<alt (+ x (* -1 (/ (log (+ 1 (* y (* z (+ 1 (* 1/2 z)))))) t)))>
#<alt (+ x (* -1 (/ (log (+ 1 (* y (* z (+ 1 (* 1/2 z)))))) t)))>
#<alt (+ x (* -1 (/ (log (+ 1 (* y (* z (+ 1 (* 1/2 z)))))) t)))>
#<alt (/ (* y (* z (+ 1 (* 1/2 z)))) t)>
#<alt (* y (+ (* -1/2 (/ (* y (* (pow z 2) (pow (+ 1 (* 1/2 z)) 2))) t)) (/ (* z (+ 1 (* 1/2 z))) t)))>
#<alt (* y (+ (* y (+ (* -1/2 (/ (* (pow z 2) (pow (+ 1 (* 1/2 z)) 2)) t)) (* 1/3 (/ (* y (* (pow z 3) (pow (+ 1 (* 1/2 z)) 3))) t)))) (/ (* z (+ 1 (* 1/2 z))) t)))>
#<alt (* y (+ (* y (+ (* -1/2 (/ (* (pow z 2) (pow (+ 1 (* 1/2 z)) 2)) t)) (* y (+ (* -1/4 (/ (* y (* (pow z 4) (pow (+ 1 (* 1/2 z)) 4))) t)) (* 1/3 (/ (* (pow z 3) (pow (+ 1 (* 1/2 z)) 3)) t)))))) (/ (* z (+ 1 (* 1/2 z))) t)))>
#<alt (/ (+ (log (* z (+ 1 (* 1/2 z)))) (* -1 (log (/ 1 y)))) t)>
#<alt (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (* z (+ 1 (* 1/2 z)))))) (/ (log (* z (+ 1 (* 1/2 z)))) t)))>
#<alt (- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (* z (+ 1 (* 1/2 z)))))) (/ (log (* z (+ 1 (* 1/2 z)))) t))) (/ 1/2 (* t (* (pow y 2) (* (pow z 2) (pow (+ 1 (* 1/2 z)) 2))))))>
#<alt (- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (* z (+ 1 (* 1/2 z)))))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (* (pow z 3) (pow (+ 1 (* 1/2 z)) 3)))))) (/ (log (* z (+ 1 (* 1/2 z)))) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (* (pow z 2) (pow (+ 1 (* 1/2 z)) 2)))))))>
#<alt (/ (+ (log (* -1 (* z (+ 1 (* 1/2 z))))) (* -1 (log (/ -1 y)))) t)>
#<alt (+ (* -1 (/ (log (/ -1 y)) t)) (+ (/ 1 (* t (* y (* z (+ 1 (* 1/2 z)))))) (/ (log (* -1 (* z (+ 1 (* 1/2 z))))) t)))>
#<alt (+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (- (* 1/2 (/ 1 (* t (* y (* (pow z 2) (pow (+ 1 (* 1/2 z)) 2)))))) (/ 1 (* t (* z (+ 1 (* 1/2 z)))))) y)) (/ (log (* -1 (* z (+ 1 (* 1/2 z))))) t)))>
#<alt (+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* t (* y (* (pow z 3) (pow (+ 1 (* 1/2 z)) 3)))))) (* 1/2 (/ 1 (* t (* (pow z 2) (pow (+ 1 (* 1/2 z)) 2)))))) y)) (/ 1 (* t (* z (+ 1 (* 1/2 z)))))) y)) (/ (log (* -1 (* z (+ 1 (* 1/2 z))))) t)))>
#<alt (/ (* y z) t)>
#<alt (* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))>
#<alt (* z (+ (* z (+ (* 1/6 (/ (* z (+ (* -3 (pow y 2)) (* 2 (pow y 3)))) t)) (* 1/2 (/ (+ y (* -1 (pow y 2))) t)))) (/ y t)))>
#<alt (* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ (* -6 (pow y 4)) (+ (* -3 (pow y 2)) (* 12 (pow y 3))))) t)) (* 1/6 (/ (+ (* -3 (pow y 2)) (* 2 (pow y 3))) t)))))) (/ y t)))>
#<alt (/ (+ (log (* 1/2 y)) (* -2 (log (/ 1 z)))) t)>
#<alt (+ (* -2 (/ (log (/ 1 z)) t)) (+ (* 2 (/ 1 (* t z))) (/ (log (* 1/2 y)) t)))>
#<alt (+ (* -2 (/ (log (/ 1 z)) t)) (+ (* 1/2 (/ (- (* 4 (/ 1 y)) 4) (* t (pow z 2)))) (+ (/ 2 (* t z)) (/ (log (* 1/2 y)) t))))>
#<alt (+ (* -2 (/ (log (/ 1 z)) t)) (+ (* 1/6 (/ (- 16 (* 24 (/ 1 y))) (* t (pow z 3)))) (+ (* 1/2 (/ (- (* 4 (/ 1 y)) 4) (* t (pow z 2)))) (+ (/ 2 (* t z)) (/ (log (* 1/2 y)) t)))))>
#<alt (/ (+ (log (* 1/2 y)) (* -2 (log (/ -1 z)))) t)>
#<alt (+ (* -2 (/ (log (/ -1 z)) t)) (+ (* 2 (/ 1 (* t z))) (/ (log (* 1/2 y)) t)))>
#<alt (+ (* -2 (/ (log (/ -1 z)) t)) (+ (* -1 (/ (- (* -1/2 (/ (- (* 4 (/ 1 y)) 4) (* t z))) (* 2 (/ 1 t))) z)) (/ (log (* 1/2 y)) t)))>
#<alt (+ (* -2 (/ (log (/ -1 z)) t)) (+ (* -1 (/ (- (* -1 (/ (+ (* -1/6 (/ (- (* 24 (/ 1 y)) 16) (* t z))) (* 1/2 (/ (- (* 4 (/ 1 y)) 4) t))) z)) (* 2 (/ 1 t))) z)) (/ (log (* 1/2 y)) t)))>
#<alt (/ (log (+ 1 (* y (* z (+ 1 (* 1/2 z)))))) t)>
#<alt (/ (log (+ 1 (* y (* z (+ 1 (* 1/2 z)))))) t)>
#<alt (/ (log (+ 1 (* y (* z (+ 1 (* 1/2 z)))))) t)>
#<alt (/ (log (+ 1 (* y (* z (+ 1 (* 1/2 z)))))) t)>
#<alt (/ (log (+ 1 (* y (* z (+ 1 (* 1/2 z)))))) t)>
#<alt (/ (log (+ 1 (* y (* z (+ 1 (* 1/2 z)))))) t)>
#<alt (/ (log (+ 1 (* y (* z (+ 1 (* 1/2 z)))))) t)>
#<alt (/ (log (+ 1 (* y (* z (+ 1 (* 1/2 z)))))) t)>
#<alt (/ (log (+ 1 (* y (* z (+ 1 (* 1/2 z)))))) t)>
#<alt (/ (log (+ 1 (* y (* z (+ 1 (* 1/2 z)))))) t)>
#<alt (/ (log (+ 1 (* y (* z (+ 1 (* 1/2 z)))))) t)>
#<alt (/ (log (+ 1 (* y (* z (+ 1 (* 1/2 z)))))) t)>
#<alt (* y (* z (+ 1 (* 1/2 z))))>
#<alt (* y (+ (* -1/2 (* y (* (pow z 2) (pow (+ 1 (* 1/2 z)) 2)))) (* z (+ 1 (* 1/2 z)))))>
#<alt (* y (+ (* y (+ (* -1/2 (* (pow z 2) (pow (+ 1 (* 1/2 z)) 2))) (* 1/3 (* y (* (pow z 3) (pow (+ 1 (* 1/2 z)) 3)))))) (* z (+ 1 (* 1/2 z)))))>
#<alt (* y (+ (* y (+ (* -1/2 (* (pow z 2) (pow (+ 1 (* 1/2 z)) 2))) (* y (+ (* -1/4 (* y (* (pow z 4) (pow (+ 1 (* 1/2 z)) 4)))) (* 1/3 (* (pow z 3) (pow (+ 1 (* 1/2 z)) 3))))))) (* z (+ 1 (* 1/2 z)))))>
#<alt (+ (log (* z (+ 1 (* 1/2 z)))) (* -1 (log (/ 1 y))))>
#<alt (+ (log (* z (+ 1 (* 1/2 z)))) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (* z (+ 1 (* 1/2 z)))))))>
#<alt (- (+ (log (* z (+ 1 (* 1/2 z)))) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (* z (+ 1 (* 1/2 z))))))) (/ 1/2 (* (pow y 2) (* (pow z 2) (pow (+ 1 (* 1/2 z)) 2)))))>
#<alt (- (+ (log (* z (+ 1 (* 1/2 z)))) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (* z (+ 1 (* 1/2 z))))) (* 1/3 (/ 1 (* (pow y 3) (* (pow z 3) (pow (+ 1 (* 1/2 z)) 3)))))))) (* 1/2 (/ 1 (* (pow y 2) (* (pow z 2) (pow (+ 1 (* 1/2 z)) 2))))))>
#<alt (+ (log (* -1 (* z (+ 1 (* 1/2 z))))) (* -1 (log (/ -1 y))))>
#<alt (+ (log (* -1 (* z (+ 1 (* 1/2 z))))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (* z (+ 1 (* 1/2 z)))))))>
#<alt (+ (log (* -1 (* z (+ 1 (* 1/2 z))))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (* (pow z 2) (pow (+ 1 (* 1/2 z)) 2))))) (/ 1 (* z (+ 1 (* 1/2 z))))) y))))>
#<alt (+ (log (* -1 (* z (+ 1 (* 1/2 z))))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (* (pow z 3) (pow (+ 1 (* 1/2 z)) 3))))) (* 1/2 (/ 1 (* (pow z 2) (pow (+ 1 (* 1/2 z)) 2))))) y)) (/ 1 (* z (+ 1 (* 1/2 z))))) y))))>
#<alt (* y z)>
#<alt (* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))))>
#<alt (* z (+ y (* z (+ (* 1/6 (* z (+ (* -3 (pow y 2)) (* 2 (pow y 3))))) (* 1/2 (+ y (* -1 (pow y 2))))))))>
#<alt (* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ (* -6 (pow y 4)) (+ (* -3 (pow y 2)) (* 12 (pow y 3)))))) (* 1/6 (+ (* -3 (pow y 2)) (* 2 (pow y 3))))))))))>
#<alt (+ (log (* 1/2 y)) (* -2 (log (/ 1 z))))>
#<alt (+ (log (* 1/2 y)) (+ (* -2 (log (/ 1 z))) (* 2 (/ 1 z))))>
#<alt (+ (log (* 1/2 y)) (+ (* -2 (log (/ 1 z))) (+ (* 1/2 (/ (- (* 4 (/ 1 y)) 4) (pow z 2))) (* 2 (/ 1 z)))))>
#<alt (+ (log (* 1/2 y)) (+ (* -2 (log (/ 1 z))) (+ (* 1/6 (/ (- 16 (* 24 (/ 1 y))) (pow z 3))) (+ (* 1/2 (/ (- (* 4 (/ 1 y)) 4) (pow z 2))) (* 2 (/ 1 z))))))>
#<alt (+ (log (* 1/2 y)) (* -2 (log (/ -1 z))))>
#<alt (+ (log (* 1/2 y)) (+ (* -2 (log (/ -1 z))) (* 2 (/ 1 z))))>
#<alt (+ (log (* 1/2 y)) (+ (* -2 (log (/ -1 z))) (* -1 (/ (- (* -1/2 (/ (- (* 4 (/ 1 y)) 4) z)) 2) z))))>
#<alt (+ (log (* 1/2 y)) (+ (* -2 (log (/ -1 z))) (* -1 (/ (- (* -1 (/ (+ (* -1/6 (/ (- (* 24 (/ 1 y)) 16) z)) (* 1/2 (- (* 4 (/ 1 y)) 4))) z)) 2) z))))>
#<alt 1>
#<alt (+ 1 (* 1/2 z))>
#<alt (+ 1 (* 1/2 z))>
#<alt (+ 1 (* 1/2 z))>
#<alt (* 1/2 z)>
#<alt (* z (+ 1/2 (/ 1 z)))>
#<alt (* z (+ 1/2 (/ 1 z)))>
#<alt (* z (+ 1/2 (/ 1 z)))>
#<alt (* 1/2 z)>
#<alt (* z (+ 1/2 (/ 1 z)))>
#<alt (* z (+ 1/2 (/ 1 z)))>
#<alt (* z (+ 1/2 (/ 1 z)))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y z)>
#<alt (* z (+ y (* 1/2 (* y z))))>
#<alt (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))>
#<alt (* z (+ y (* z (+ (* 1/2 y) (* z (+ (* 1/24 (* y z)) (* 1/6 y)))))))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (- (exp z) 1))>
#<alt (* y (* z (+ 1 (* 1/2 z))))>
#<alt (* y (* z (+ 1 (* 1/2 z))))>
#<alt (* y (* z (+ 1 (* 1/2 z))))>
#<alt (* y (* z (+ 1 (* 1/2 z))))>
#<alt (* y (* z (+ 1 (* 1/2 z))))>
#<alt (* y (* z (+ 1 (* 1/2 z))))>
#<alt (* y (* z (+ 1 (* 1/2 z))))>
#<alt (* y (* z (+ 1 (* 1/2 z))))>
#<alt (* y (* z (+ 1 (* 1/2 z))))>
#<alt (* y (* z (+ 1 (* 1/2 z))))>
#<alt (* y (* z (+ 1 (* 1/2 z))))>
#<alt (* y (* z (+ 1 (* 1/2 z))))>
#<alt (* y z)>
#<alt (* z (+ y (* 1/2 (* y z))))>
#<alt (* z (+ y (* 1/2 (* y z))))>
#<alt (* z (+ y (* 1/2 (* y z))))>
#<alt (* 1/2 (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* 1/2 y) (/ y z)))>
#<alt (* (pow z 2) (+ (* 1/2 y) (/ y z)))>
#<alt (* (pow z 2) (+ (* 1/2 y) (/ y z)))>
#<alt (* 1/2 (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* 1/2 y) (/ y z)))>
#<alt (* (pow z 2) (+ (* 1/2 y) (/ y z)))>
#<alt (* (pow z 2) (+ (* 1/2 y) (/ y z)))>
#<alt z>
#<alt (* z (+ 1 (* 1/2 z)))>
#<alt (* z (+ 1 (* 1/2 z)))>
#<alt (* z (+ 1 (* 1/2 z)))>
#<alt (* 1/2 (pow z 2))>
#<alt (* (pow z 2) (+ 1/2 (/ 1 z)))>
#<alt (* (pow z 2) (+ 1/2 (/ 1 z)))>
#<alt (* (pow z 2) (+ 1/2 (/ 1 z)))>
#<alt (* 1/2 (pow z 2))>
#<alt (* (pow z 2) (+ 1/2 (/ 1 z)))>
#<alt (* (pow z 2) (+ 1/2 (/ 1 z)))>
#<alt (* (pow z 2) (+ 1/2 (/ 1 z)))>
Calls

156 calls:

TimeVariablePointExpression
61.0ms
t
@0
(/ (log (+ 1 (* y z))) t)
41.0ms
t
@inf
(/ (log (+ 1 (* y (* z (+ (* z 1/2) 1))))) t)
15.0ms
x
@0
(- x (/ (log (+ 1 (* y (* z (+ (* z 1/2) 1))))) t))
14.0ms
t
@0
(/ (log (+ 1 (* y (* z (+ (* z 1/2) 1))))) t)
11.0ms
x
@0
(- x (/ (log (+ 1 (* y z))) t))

rewrite846.0ms (4.3%)

Memory
-34.4MiB live, 622.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 442×/-lowering-/.f32
4 442×/-lowering-/.f64
4 382×*-lowering-*.f32
4 382×*-lowering-*.f64
3 940×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033171
1198169
21753169
08321135
Stop Event
1×iter limit
1×node limit
Counts
21 → 486
Calls
Call 1
Inputs
(- x (/ (log (+ 1 (* y (- (exp z) 1)))) t))
(/ (log (+ 1 (* y (- (exp z) 1)))) t)
(log (+ 1 (* y (- (exp z) 1))))
(- (exp z) 1)
(- x (/ (* y z) t))
(/ (* y z) t)
(* y z)
(/ (* y (* z z)) t)
(* (* y 1/2) (/ (* y (* z z)) t))
(* y 1/2)
(* y (* z z))
(- x (/ (log (+ 1 (* y z))) t))
(/ (log (+ 1 (* y z))) t)
(log (+ 1 (* y z)))
(- x (/ (log (+ 1 (* y (* z (+ (* z 1/2) 1))))) t))
(/ (log (+ 1 (* y (* z (+ (* z 1/2) 1))))) t)
(log (+ 1 (* y (* z (+ (* z 1/2) 1)))))
(+ (* z 1/2) 1)
(* y (- (exp z) 1))
(* y (* z (+ (* z 1/2) 1)))
(* z (+ (* z 1/2) 1))
Outputs
(+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (-.f64 #s(literal 0 binary64) t)))
(+.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (-.f64 #s(literal 0 binary64) t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (*.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 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (*.f64 x x))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))) (/.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))) t))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (-.f64 #s(literal 0 binary64) t)))) (/.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))) (-.f64 #s(literal 0 binary64) t)))))
(fma.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (neg.f64 (/.f64 #s(literal 1 binary64) t)) x)
(fma.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 y (expm1.f64 z)))) (/.f64 #s(literal 1 binary64) t) x)
(fma.f64 #s(literal -1 binary64) (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (*.f64 x x)) (fma.f64 x (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (-.f64 #s(literal 0 binary64) t)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64)))))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (-.f64 #s(literal 0 binary64) t)) #s(literal 3 binary64))) (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (*.f64 x x)))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (-.f64 #s(literal 0 binary64) 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))) (-.f64 #s(literal 0 binary64) t))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (*.f64 x x)) (fma.f64 x (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (-.f64 #s(literal 0 binary64) t)) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 x x) (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))) t)))
(/.f64 (-.f64 (*.f64 x x) (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))) (-.f64 #s(literal 0 binary64) t))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (-.f64 #s(literal 0 binary64) t)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t) (+.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t)) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) (-.f64 #s(literal 0 binary64) t)) #s(literal 3 binary64)))) (neg.f64 (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))) (-.f64 #s(literal 0 binary64) t)))))))
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(*.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)))))
(*.f64 y (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))))
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(*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)))) y)
(+.f64 z (*.f64 z (*.f64 z #s(literal 1/2 binary64))))
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(fma.f64 #s(literal 1/2 binary64) (*.f64 z z) z)
(fma.f64 (*.f64 z #s(literal 1/2 binary64)) z z)
(/.f64 (fma.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/8 binary64)) (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (fma.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) (*.f64 z (*.f64 z #s(literal 1/2 binary64))) (-.f64 (*.f64 z z) (*.f64 (*.f64 z (*.f64 z #s(literal 1/2 binary64))) z))))
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(*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) z)

simplify497.0ms (2.5%)

Memory
30.7MiB live, 829.7MiB allocated
Algorithm
1×egg-herbie
Rules
8 114×accelerator-lowering-fma.f32
8 114×accelerator-lowering-fma.f64
5 534×+-lowering-+.f64
5 534×+-lowering-+.f32
5 154×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010458810
133858566
085817666
Stop Event
1×iter limit
1×node limit
Counts
624 → 624
Calls
Call 1
Inputs
(* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) t))
(- x (/ (log (+ 1 (* y (- (exp z) 1)))) t))
(- x (/ (log (+ 1 (* y (- (exp z) 1)))) t))
(- x (/ (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) 1)))) (* t x)))))
(* x (+ 1 (* -1 (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)))))
x
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1)))
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1)))
(* -1 (* x (- (/ (log (+ 1 (* y (- (exp z) 1)))) (* t x)) 1)))
x
(+ 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))))
(- 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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eval164.0ms (0.8%)

Memory
19.3MiB live, 362.3MiB allocated
Compiler

Compiled 21 129 to 2 817 computations (86.7% saved)

prune166.0ms (0.8%)

Memory
-3.8MiB live, 314.1MiB allocated
Pruning

27 alts after pruning (21 fresh and 6 done)

PrunedKeptTotal
New1 126131 139
Fresh2810
Picked145
Done022
Total1 129271 156
Accuracy
99.3%
Counts
1 156 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.5%
(fma.f64 (log.f64 (fma.f64 z (*.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) t)) x)
71.5%
(fma.f64 (log.f64 (fma.f64 y z #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) t)) x)
67.7%
(fma.f64 z (-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 z #s(literal 1/2 binary64)))) t) (/.f64 y t)) x)
▶85.2%
(fma.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)) x)
▶12.5%
(/.f64 (*.f64 y z) (neg.f64 t))
▶10.2%
(/.f64 (log.f64 (fma.f64 y z #s(literal 1 binary64))) (neg.f64 t))
32.3%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 z t) x) (-.f64 (*.f64 x x) (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (*.f64 t t)))))
▶68.3%
(-.f64 x (/.f64 (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) t))
81.6%
(-.f64 x (/.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) (expm1.f64 z) #s(literal 1 binary64)) (expm1.f64 z))) t))
✓83.8%
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
70.3%
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) t))
▶71.5%
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (*.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) t))
✓73.4%
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))))) t))
57.7%
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (*.f64 z (*.f64 z #s(literal 1/2 binary64))))) t))
✓97.7%
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
✓79.1%
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
73.0%
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 y z))))
12.9%
(-.f64 x (+.f64 (/.f64 (log.f64 y) t) (/.f64 (log.f64 z) t)))
74.4%
(-.f64 x (*.f64 (/.f64 z t) y))
71.5%
(-.f64 x (*.f64 z (*.f64 y (/.f64 #s(literal 1 binary64) t))))
66.9%
(*.f64 (fma.f64 y (/.f64 z (*.f64 t x)) #s(literal -1 binary64)) (neg.f64 x))
12.9%
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) y)))) y) (/.f64 z t))
3.2%
(*.f64 (*.f64 y (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 y #s(literal 1/2 binary64))))
✓3.4%
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (*.f64 y (*.f64 z z)) t))
71.3%
(*.f64 y (-.f64 (/.f64 x y) (/.f64 (expm1.f64 z) t)))
69.4%
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y z #s(literal 1 binary64))) (*.f64 t x))))
✓71.4%
x
Compiler

Compiled 766 to 509 computations (33.6% saved)

simplify274.0ms (1.4%)

Memory
-10.9MiB live, 345.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
✓cost-diff0
(log1p.f64 (*.f64 y (*.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
✓cost-diff0
(/.f64 (log1p.f64 (*.f64 y (*.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) t)
✓cost-diff0
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (*.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) t))
✓cost-diff-64
(neg.f64 t)
✓cost-diff0
(fma.f64 y z #s(literal 1 binary64))
✓cost-diff0
(log.f64 (fma.f64 y z #s(literal 1 binary64)))
✓cost-diff0
(/.f64 (log.f64 (fma.f64 y z #s(literal 1 binary64))) (neg.f64 t))
✓cost-diff-64
(*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))
✓cost-diff0
(fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)
✓cost-diff0
(/.f64 (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) t)
✓cost-diff192
(-.f64 x (/.f64 (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) t))
✓cost-diff-64
(neg.f64 t)
✓cost-diff-64
(*.f64 y z)
✓cost-diff0
(/.f64 (*.f64 y z) (neg.f64 t))
✓cost-diff-64
(neg.f64 (/.f64 (expm1.f64 z) t))
✓cost-diff0
(expm1.f64 z)
✓cost-diff0
(/.f64 (expm1.f64 z) t)
✓cost-diff0
(fma.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)) x)
Rules
7 658×accelerator-lowering-fma.f32
7 658×accelerator-lowering-fma.f64
2 582×*-lowering-*.f32
2 582×*-lowering-*.f64
1 824×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035219
197218
2245217
3703217
41557217
52553217
64321217
75861217
87478217
97891217
107959217
08002181
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* y (neg (/ (- (exp z) 1) t))) x)
y
(neg (/ (- (exp z) 1) t))
(/ (- (exp z) 1) t)
(- (exp z) 1)
z
t
x
(/ (* y z) (neg t))
(* y z)
y
z
(neg t)
t
(- x (/ (* z (+ (* y (* z 1/2)) y)) t))
x
(/ (* z (+ (* y (* z 1/2)) y)) t)
(* z (+ (* y (* z 1/2)) y))
z
(+ (* y (* z 1/2)) y)
y
(* z 1/2)
1/2
t
(/ (log (+ (* y z) 1)) (neg t))
(log (+ (* y z) 1))
(+ (* y z) 1)
y
z
1
(neg t)
t
(- x (/ (log (+ 1 (* y (* z (+ (* z (+ (* z 1/6) 1/2)) 1))))) t))
x
(/ (log (+ 1 (* y (* z (+ (* z (+ (* z 1/6) 1/2)) 1))))) t)
(log (+ 1 (* y (* z (+ (* z (+ (* z 1/6) 1/2)) 1)))))
(* y (* z (+ (* z (+ (* z 1/6) 1/2)) 1)))
y
(* z (+ (* z (+ (* z 1/6) 1/2)) 1))
z
(+ (* z (+ (* z 1/6) 1/2)) 1)
(+ (* z 1/6) 1/2)
1/6
1/2
1
t
Outputs
(+ (* y (neg (/ (- (exp z) 1) t))) x)
(fma.f64 (expm1.f64 z) (-.f64 #s(literal 0 binary64) (/.f64 y t)) x)
y
(neg (/ (- (exp z) 1) t))
(-.f64 #s(literal 0 binary64) (/.f64 (expm1.f64 z) t))
(/ (- (exp z) 1) t)
(/.f64 (expm1.f64 z) t)
(- (exp z) 1)
(expm1.f64 z)
z
t
x
(/ (* y z) (neg t))
(-.f64 #s(literal 0 binary64) (fma.f64 y (/.f64 z t) #s(literal 0 binary64)))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
y
z
(neg t)
(-.f64 #s(literal 0 binary64) t)
t
(- x (/ (* z (+ (* y (* z 1/2)) y)) t))
(fma.f64 (fma.f64 y (/.f64 z t) #s(literal 0 binary64)) (fma.f64 z #s(literal -1/2 binary64) #s(literal -1 binary64)) x)
x
(/ (* z (+ (* y (* z 1/2)) y)) t)
(fma.f64 y (fma.f64 (/.f64 z t) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* z (+ (* y (* z 1/2)) y))
(fma.f64 (fma.f64 y z #s(literal 0 binary64)) (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))
z
(+ (* y (* z 1/2)) y)
(fma.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 0 binary64))
y
(* z 1/2)
(fma.f64 z #s(literal 1/2 binary64) #s(literal 0 binary64))
1/2
#s(literal 1/2 binary64)
t
(/ (log (+ (* y z) 1)) (neg t))
(/.f64 (log.f64 (fma.f64 y z #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) t))
(log (+ (* y z) 1))
(log.f64 (fma.f64 y z #s(literal 1 binary64)))
(+ (* y z) 1)
(fma.f64 y z #s(literal 1 binary64))
y
z
1
#s(literal 1 binary64)
(neg t)
(-.f64 #s(literal 0 binary64) t)
t
(- x (/ (log (+ 1 (* y (* z (+ (* z (+ (* z 1/6) 1/2)) 1))))) t))
(-.f64 x (/.f64 (log.f64 (fma.f64 (fma.f64 y z #s(literal 0 binary64)) (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) t))
x
(/ (log (+ 1 (* y (* z (+ (* z (+ (* z 1/6) 1/2)) 1))))) t)
(/.f64 (log.f64 (fma.f64 (fma.f64 y z #s(literal 0 binary64)) (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) t)
(log (+ 1 (* y (* z (+ (* z (+ (* z 1/6) 1/2)) 1)))))
(log.f64 (fma.f64 (fma.f64 y z #s(literal 0 binary64)) (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(* y (* z (+ (* z (+ (* z 1/6) 1/2)) 1)))
(fma.f64 (fma.f64 y z #s(literal 0 binary64)) (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
y
(* z (+ (* z (+ (* z 1/6) 1/2)) 1))
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
z
(+ (* z (+ (* z 1/6) 1/2)) 1)
(fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ (* z 1/6) 1/2)
(fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))
1/6
#s(literal 1/6 binary64)
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
t

localize215.0ms (1.1%)

Memory
-4.4MiB live, 405.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64))
✓accuracy98.5%
(*.f64 y (*.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
✓accuracy96.7%
(/.f64 (log1p.f64 (*.f64 y (*.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) t)
✓accuracy87.1%
(log1p.f64 (*.f64 y (*.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)))))
✓accuracy100.0%
(fma.f64 y z #s(literal 1 binary64))
✓accuracy100.0%
(neg.f64 t)
✓accuracy96.7%
(/.f64 (log.f64 (fma.f64 y z #s(literal 1 binary64))) (neg.f64 t))
✓accuracy53.7%
(log.f64 (fma.f64 y z #s(literal 1 binary64)))
✓accuracy100.0%
(-.f64 x (/.f64 (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) t))
✓accuracy100.0%
(*.f64 z #s(literal 1/2 binary64))
✓accuracy99.9%
(*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y))
✓accuracy93.4%
(/.f64 (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) t)
✓accuracy100.0%
(*.f64 y z)
✓accuracy100.0%
(neg.f64 t)
✓accuracy94.9%
(/.f64 (*.f64 y z) (neg.f64 t))
✓accuracy100.0%
(neg.f64 (/.f64 (expm1.f64 z) t))
✓accuracy100.0%
(expm1.f64 z)
✓accuracy100.0%
(/.f64 (expm1.f64 z) t)
✓accuracy98.8%
(fma.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)) x)
Samples
106.0ms91×2valid
39.0ms70×1valid
17.0ms69×0valid
6.0ms26×0invalid
Compiler

Compiled 186 to 35 computations (81.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 133.0ms
ival-mult: 31.0ms (23.3% of total)
ival-log: 26.0ms (19.6% of total)
ival-add: 23.0ms (17.3% of total)
ival-div: 17.0ms (12.8% of total)
adjust: 11.0ms (8.3% of total)
ival-expm1: 10.0ms (7.5% of total)
const: 5.0ms (3.8% of total)
ival-sub: 4.0ms (3% of total)
ival-log1p: 4.0ms (3% of total)
ival-neg: 2.0ms (1.5% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series84.0ms (0.4%)

Memory
13.1MiB live, 157.8MiB allocated
Counts
21 → 564
Calls
Call 1
Inputs
#<alt (+ (* y (neg (/ (- (exp z) 1) t))) x)>
#<alt (/ (- (exp z) 1) t)>
#<alt (- (exp z) 1)>
#<alt (neg (/ (- (exp z) 1) t))>
#<alt (/ (* y z) (neg t))>
#<alt (* y z)>
#<alt (neg t)>
#<alt (- x (/ (* z (+ (* y (* z 1/2)) y)) t))>
#<alt (/ (* z (+ (* y (* z 1/2)) y)) t)>
#<alt (+ (* y (* z 1/2)) y)>
#<alt (* z (+ (* y (* z 1/2)) y))>
#<alt (/ (log (+ (* y z) 1)) (neg t))>
#<alt (log (+ (* y z) 1))>
#<alt (+ (* y z) 1)>
#<alt (- x (/ (log (+ 1 (* y (* z (+ (* z (+ (* z 1/6) 1/2)) 1))))) t))>
#<alt (/ (log (+ 1 (* y (* z (+ (* z (+ (* z 1/6) 1/2)) 1))))) t)>
#<alt (log (+ 1 (* y (* z (+ (* z (+ (* z 1/6) 1/2)) 1)))))>
#<alt (+ (* z (+ (* z 1/6) 1/2)) 1)>
#<alt (* z 1/2)>
#<alt (* y (* z (+ (* z (+ (* z 1/6) 1/2)) 1)))>
#<alt (+ (* z 1/6) 1/2)>
Outputs
#<alt x>
#<alt (+ x (* y (- (/ 1 t) (/ (exp z) t))))>
#<alt (+ x (* y (- (/ 1 t) (/ (exp z) t))))>
#<alt (+ x (* y (- (/ 1 t) (/ (exp z) t))))>
#<alt (* y (- (/ 1 t) (/ (exp z) t)))>
#<alt (* y (- (+ (/ 1 t) (/ x y)) (/ (exp z) t)))>
#<alt (* y (- (+ (/ 1 t) (/ x y)) (/ (exp z) t)))>
#<alt (* y (- (+ (/ 1 t) (/ x y)) (/ (exp z) t)))>
#<alt (* y (- (/ 1 t) (/ (exp z) t)))>
#<alt (* -1 (* y (+ (* -1 (- (/ 1 t) (/ (exp z) t))) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- (/ 1 t) (/ (exp z) t))) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- (/ 1 t) (/ (exp z) t))) (* -1 (/ x y)))))>
#<alt x>
#<alt (+ x (* -1 (/ (* y z) t)))>
#<alt (+ x (* z (+ (* -1 (/ y t)) (* -1/2 (/ (* y z) t)))))>
#<alt (+ x (* z (+ (* -1 (/ y t)) (* z (+ (* -1/2 (/ y t)) (* -1/6 (/ (* y z) t)))))))>
#<alt (+ x (* y (- (/ 1 t) (/ (exp z) t))))>
#<alt (+ x (* y (- (/ 1 t) (/ (exp z) t))))>
#<alt (+ x (* y (- (/ 1 t) (/ (exp z) t))))>
#<alt (+ x (* y (- (/ 1 t) (/ (exp z) t))))>
#<alt (+ x (* y (- (/ 1 t) (/ (exp z) t))))>
#<alt (+ x (* y (- (/ 1 t) (/ (exp z) t))))>
#<alt (+ x (* y (- (/ 1 t) (/ (exp z) t))))>
#<alt (+ x (* y (- (/ 1 t) (/ (exp z) t))))>
#<alt (/ (* y (- 1 (exp z))) t)>
#<alt (/ (+ (* t x) (* y (- 1 (exp z)))) t)>
#<alt (/ (+ (* t x) (* y (- 1 (exp z)))) t)>
#<alt (/ (+ (* t x) (* y (- 1 (exp z)))) t)>
#<alt x>
#<alt (+ x (* -1 (/ (* y (- (exp z) 1)) t)))>
#<alt (+ x (* -1 (/ (* y (- (exp z) 1)) t)))>
#<alt (+ x (* -1 (/ (* y (- (exp z) 1)) t)))>
#<alt x>
#<alt (+ x (* -1 (/ (* y (- (exp z) 1)) t)))>
#<alt (+ x (* -1 (/ (* y (- (exp z) 1)) t)))>
#<alt (+ x (* -1 (/ (* y (- (exp z) 1)) t)))>
#<alt (* y (- (/ 1 t) (/ (exp z) t)))>
#<alt (+ x (* y (- (/ 1 t) (/ (exp z) t))))>
#<alt (+ x (* y (- (/ 1 t) (/ (exp z) t))))>
#<alt (+ x (* y (- (/ 1 t) (/ (exp z) t))))>
#<alt x>
#<alt (* x (+ 1 (/ (* y (- (/ 1 t) (/ (exp z) t))) x)))>
#<alt (* x (+ 1 (/ (* y (- (/ 1 t) (/ (exp z) t))) x)))>
#<alt (* x (+ 1 (/ (* y (- (/ 1 t) (/ (exp z) t))) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (/ 1 t) (/ (exp z) t))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (/ 1 t) (/ (exp z) t))) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- (/ 1 t) (/ (exp z) t))) x)) 1)))>
#<alt (/ z t)>
#<alt (* z (+ (* 1/2 (/ z t)) (/ 1 t)))>
#<alt (* z (+ (* z (+ (* 1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t)))>
#<alt (* z (+ (* z (+ (* z (+ (* 1/24 (/ z t)) (* 1/6 (/ 1 t)))) (* 1/2 (/ 1 t)))) (/ 1 t)))>
#<alt (/ (- (exp z) 1) t)>
#<alt (/ (- (exp z) 1) t)>
#<alt (/ (- (exp z) 1) t)>
#<alt (/ (- (exp z) 1) t)>
#<alt (/ (- (exp z) 1) t)>
#<alt (/ (- (exp z) 1) t)>
#<alt (/ (- (exp z) 1) t)>
#<alt (/ (- (exp z) 1) t)>
#<alt (/ (- (exp z) 1) t)>
#<alt (/ (- (exp z) 1) t)>
#<alt (/ (- (exp z) 1) t)>
#<alt (/ (- (exp z) 1) t)>
#<alt (/ (- (exp z) 1) t)>
#<alt (/ (- (exp z) 1) t)>
#<alt (/ (- (exp z) 1) t)>
#<alt (/ (- (exp z) 1) t)>
#<alt (/ (- (exp z) 1) t)>
#<alt (/ (- (exp z) 1) t)>
#<alt (/ (- (exp z) 1) t)>
#<alt (/ (- (exp z) 1) t)>
#<alt z>
#<alt (* z (+ 1 (* 1/2 z)))>
#<alt (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))>
#<alt (* z (+ 1 (* z (+ 1/2 (* z (+ 1/6 (* 1/24 z)))))))>
#<alt (- (exp z) 1)>
#<alt (- (exp z) 1)>
#<alt (- (exp z) 1)>
#<alt (- (exp z) 1)>
#<alt (- (exp z) 1)>
#<alt (- (exp z) 1)>
#<alt (- (exp z) 1)>
#<alt (- (exp z) 1)>
#<alt (* -1 (/ z t))>
#<alt (* z (- (* -1/2 (/ z t)) (/ 1 t)))>
#<alt (* z (- (* z (- (* -1/6 (/ z t)) (* 1/2 (/ 1 t)))) (/ 1 t)))>
#<alt (* z (- (* z (- (* z (- (* -1/24 (/ z t)) (* 1/6 (/ 1 t)))) (* 1/2 (/ 1 t)))) (/ 1 t)))>
#<alt (- (/ 1 t) (/ (exp z) t))>
#<alt (- (/ 1 t) (/ (exp z) t))>
#<alt (- (/ 1 t) (/ (exp z) t))>
#<alt (- (/ 1 t) (/ (exp z) t))>
#<alt (- (/ 1 t) (/ (exp z) t))>
#<alt (- (/ 1 t) (/ (exp z) t))>
#<alt (- (/ 1 t) (/ (exp z) t))>
#<alt (- (/ 1 t) (/ (exp z) t))>
#<alt (/ (- 1 (exp z)) t)>
#<alt (/ (- 1 (exp z)) t)>
#<alt (/ (- 1 (exp z)) t)>
#<alt (/ (- 1 (exp z)) t)>
#<alt (/ (- 1 (exp z)) t)>
#<alt (/ (- 1 (exp z)) t)>
#<alt (/ (- 1 (exp z)) t)>
#<alt (/ (- 1 (exp z)) t)>
#<alt (* -1 (/ (- (exp z) 1) t))>
#<alt (* -1 (/ (- (exp z) 1) t))>
#<alt (* -1 (/ (- (exp z) 1) t))>
#<alt (* -1 (/ (- (exp z) 1) t))>
#<alt (* -1 (/ (* y z) t))>
#<alt (* -1 (/ (* y z) t))>
#<alt (* -1 (/ (* y z) t))>
#<alt (* -1 (/ (* y z) t))>
#<alt (* -1 (/ (* y z) t))>
#<alt (* -1 (/ (* y z) t))>
#<alt (* -1 (/ (* y z) t))>
#<alt (* -1 (/ (* y z) t))>
#<alt (* -1 (/ (* y z) t))>
#<alt (* -1 (/ (* y z) t))>
#<alt (* -1 (/ (* y z) t))>
#<alt (* -1 (/ (* y z) t))>
#<alt (* -1 (/ (* y z) t))>
#<alt (* -1 (/ (* y z) t))>
#<alt (* -1 (/ (* y z) t))>
#<alt (* -1 (/ (* y z) t))>
#<alt (* -1 (/ (* y z) t))>
#<alt (* -1 (/ (* y z) t))>
#<alt (* -1 (/ (* y z) t))>
#<alt (* -1 (/ (* y z) t))>
#<alt (* -1 (/ (* y z) t))>
#<alt (* -1 (/ (* y z) t))>
#<alt (* -1 (/ (* y z) t))>
#<alt (* -1 (/ (* y z) t))>
#<alt (* -1 (/ (* y z) t))>
#<alt (* -1 (/ (* y z) t))>
#<alt (* -1 (/ (* y z) t))>
#<alt (* -1 (/ (* y z) t))>
#<alt (* -1 (/ (* y z) t))>
#<alt (* -1 (/ (* y z) t))>
#<alt (* -1 (/ (* y z) t))>
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#<alt (+ x (* -1 (/ (log (+ 1 (* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))) t)))>
#<alt (+ x (* -1 (/ (log (+ 1 (* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))) t)))>
#<alt (+ x (* -1 (/ (log (+ 1 (* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))) t)))>
#<alt (/ (* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) t)>
#<alt (* y (+ (* -1/2 (/ (* y (* (pow z 2) (pow (+ 1 (* z (+ 1/2 (* 1/6 z)))) 2))) t)) (/ (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))) t)))>
#<alt (* y (+ (* y (+ (* -1/2 (/ (* (pow z 2) (pow (+ 1 (* z (+ 1/2 (* 1/6 z)))) 2)) t)) (* 1/3 (/ (* y (* (pow z 3) (pow (+ 1 (* z (+ 1/2 (* 1/6 z)))) 3))) t)))) (/ (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))) t)))>
#<alt (* y (+ (* y (+ (* -1/2 (/ (* (pow z 2) (pow (+ 1 (* z (+ 1/2 (* 1/6 z)))) 2)) t)) (* y (+ (* -1/4 (/ (* y (* (pow z 4) (pow (+ 1 (* z (+ 1/2 (* 1/6 z)))) 4))) t)) (* 1/3 (/ (* (pow z 3) (pow (+ 1 (* z (+ 1/2 (* 1/6 z)))) 3)) t)))))) (/ (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))) t)))>
#<alt (/ (+ (log (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (* -1 (log (/ 1 y)))) t)>
#<alt (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))) (/ (log (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) t)))>
#<alt (- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))) (/ (log (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) t))) (/ 1/2 (* t (* (pow y 2) (* (pow z 2) (pow (+ 1 (* z (+ 1/2 (* 1/6 z)))) 2))))))>
#<alt (- (+ (* -1 (/ (log (/ 1 y)) t)) (+ (/ 1 (* t (* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))) (+ (* 1/3 (/ 1 (* t (* (pow y 3) (* (pow z 3) (pow (+ 1 (* z (+ 1/2 (* 1/6 z)))) 3)))))) (/ (log (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) t)))) (* 1/2 (/ 1 (* t (* (pow y 2) (* (pow z 2) (pow (+ 1 (* z (+ 1/2 (* 1/6 z)))) 2)))))))>
#<alt (/ (+ (log (* -1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))) (* -1 (log (/ -1 y)))) t)>
#<alt (+ (* -1 (/ (log (/ -1 y)) t)) (+ (/ 1 (* t (* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))) (/ (log (* -1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))) t)))>
#<alt (+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (- (* 1/2 (/ 1 (* t (* y (* (pow z 2) (pow (+ 1 (* z (+ 1/2 (* 1/6 z)))) 2)))))) (/ 1 (* t (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))) y)) (/ (log (* -1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))) t)))>
#<alt (+ (* -1 (/ (log (/ -1 y)) t)) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* t (* y (* (pow z 3) (pow (+ 1 (* z (+ 1/2 (* 1/6 z)))) 3)))))) (* 1/2 (/ 1 (* t (* (pow z 2) (pow (+ 1 (* z (+ 1/2 (* 1/6 z)))) 2)))))) y)) (/ 1 (* t (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))) y)) (/ (log (* -1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))) t)))>
#<alt (/ (* y z) t)>
#<alt (* z (+ (* 1/2 (/ (* z (+ y (* -1 (pow y 2)))) t)) (/ y t)))>
#<alt (* 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)))>
#<alt (* z (+ (* z (+ (* 1/2 (/ (+ y (* -1 (pow y 2))) t)) (* z (+ (* 1/24 (/ (* z (+ (* -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)))>
#<alt (/ (+ (log (* 1/6 y)) (* -3 (log (/ 1 z)))) t)>
#<alt (+ (* -3 (/ (log (/ 1 z)) t)) (+ (* 3 (/ 1 (* t z))) (/ (log (* 1/6 y)) t)))>
#<alt (+ (* -3 (/ (log (/ 1 z)) t)) (+ (/ 3/2 (* t (pow z 2))) (+ (/ 3 (* t z)) (/ (log (* 1/6 y)) t))))>
#<alt (+ (* -3 (/ (log (/ 1 z)) t)) (+ (* 1/6 (/ (- (* 36 (/ 1 y)) 54) (* t (pow z 3)))) (+ (* 3/2 (/ 1 (* t (pow z 2)))) (+ (/ 3 (* t z)) (/ (log (* 1/6 y)) t)))))>
#<alt (/ (+ (log (* -1/6 y)) (* -3 (log (/ -1 z)))) t)>
#<alt (+ (* -3 (/ (log (/ -1 z)) t)) (+ (* 3 (/ 1 (* t z))) (/ (log (* -1/6 y)) t)))>
#<alt (+ (* -3 (/ (log (/ -1 z)) t)) (+ (/ 3/2 (* t (pow z 2))) (+ (/ 3 (* t z)) (/ (log (* -1/6 y)) t))))>
#<alt (+ (* -3 (/ (log (/ -1 z)) t)) (+ (* -1 (/ (- (* -1 (/ (+ (* -1/6 (/ (- 54 (* 36 (/ 1 y))) (* t z))) (* 3/2 (/ 1 t))) z)) (* 3 (/ 1 t))) z)) (/ (log (* -1/6 y)) t)))>
#<alt (/ (log (+ 1 (* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))) t)>
#<alt (/ (log (+ 1 (* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))) t)>
#<alt (/ (log (+ 1 (* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))) t)>
#<alt (/ (log (+ 1 (* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))) t)>
#<alt (/ (log (+ 1 (* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))) t)>
#<alt (/ (log (+ 1 (* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))) t)>
#<alt (/ (log (+ 1 (* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))) t)>
#<alt (/ (log (+ 1 (* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))) t)>
#<alt (/ (log (+ 1 (* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))) t)>
#<alt (/ (log (+ 1 (* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))) t)>
#<alt (/ (log (+ 1 (* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))) t)>
#<alt (/ (log (+ 1 (* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))) t)>
#<alt (* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))>
#<alt (* y (+ (* -1/2 (* y (* (pow z 2) (pow (+ 1 (* z (+ 1/2 (* 1/6 z)))) 2)))) (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))>
#<alt (* y (+ (* y (+ (* -1/2 (* (pow z 2) (pow (+ 1 (* z (+ 1/2 (* 1/6 z)))) 2))) (* 1/3 (* y (* (pow z 3) (pow (+ 1 (* z (+ 1/2 (* 1/6 z)))) 3)))))) (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))>
#<alt (* y (+ (* y (+ (* -1/2 (* (pow z 2) (pow (+ 1 (* z (+ 1/2 (* 1/6 z)))) 2))) (* y (+ (* -1/4 (* y (* (pow z 4) (pow (+ 1 (* z (+ 1/2 (* 1/6 z)))) 4)))) (* 1/3 (* (pow z 3) (pow (+ 1 (* z (+ 1/2 (* 1/6 z)))) 3))))))) (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))>
#<alt (+ (log (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (* -1 (log (/ 1 y))))>
#<alt (+ (log (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))))>
#<alt (- (+ (log (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (+ (* -1 (log (/ 1 y))) (/ 1 (* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))))) (/ 1/2 (* (pow y 2) (* (pow z 2) (pow (+ 1 (* z (+ 1/2 (* 1/6 z)))) 2)))))>
#<alt (- (+ (log (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (+ (* -1 (log (/ 1 y))) (+ (/ 1 (* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))) (* 1/3 (/ 1 (* (pow y 3) (* (pow z 3) (pow (+ 1 (* z (+ 1/2 (* 1/6 z)))) 3)))))))) (* 1/2 (/ 1 (* (pow y 2) (* (pow z 2) (pow (+ 1 (* z (+ 1/2 (* 1/6 z)))) 2))))))>
#<alt (+ (log (* -1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))) (* -1 (log (/ -1 y))))>
#<alt (+ (log (* -1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))) (+ (* -1 (log (/ -1 y))) (/ 1 (* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))))>
#<alt (+ (log (* -1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* 1/2 (/ 1 (* y (* (pow z 2) (pow (+ 1 (* z (+ 1/2 (* 1/6 z)))) 2))))) (/ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))) y))))>
#<alt (+ (log (* -1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))) (+ (* -1 (log (/ -1 y))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* y (* (pow z 3) (pow (+ 1 (* z (+ 1/2 (* 1/6 z)))) 3))))) (* 1/2 (/ 1 (* (pow z 2) (pow (+ 1 (* z (+ 1/2 (* 1/6 z)))) 2))))) y)) (/ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))) y))))>
#<alt (* y z)>
#<alt (* z (+ y (* 1/2 (* z (+ y (* -1 (pow y 2)))))))>
#<alt (* z (+ y (* z (+ (* 1/6 (* z (+ y (+ (* -3 (pow y 2)) (* 2 (pow y 3)))))) (* 1/2 (+ y (* -1 (pow y 2))))))))>
#<alt (* z (+ y (* z (+ (* 1/2 (+ y (* -1 (pow y 2)))) (* z (+ (* 1/24 (* z (+ (* -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)))))))))))>
#<alt (+ (log (* 1/6 y)) (* -3 (log (/ 1 z))))>
#<alt (+ (log (* 1/6 y)) (+ (* -3 (log (/ 1 z))) (* 3 (/ 1 z))))>
#<alt (+ (log (* 1/6 y)) (+ (* -3 (log (/ 1 z))) (+ (* 3 (/ 1 z)) (/ 3/2 (pow z 2)))))>
#<alt (+ (log (* 1/6 y)) (+ (* -3 (log (/ 1 z))) (+ (* 1/6 (/ (- (* 36 (/ 1 y)) 54) (pow z 3))) (+ (* 3 (/ 1 z)) (/ 3/2 (pow z 2))))))>
#<alt (+ (log (* -1/6 y)) (* -3 (log (/ -1 z))))>
#<alt (+ (log (* -1/6 y)) (+ (* -3 (log (/ -1 z))) (* 3 (/ 1 z))))>
#<alt (+ (log (* -1/6 y)) (+ (* -3 (log (/ -1 z))) (+ (* 3 (/ 1 z)) (/ 3/2 (pow z 2)))))>
#<alt (+ (log (* -1/6 y)) (+ (* -3 (log (/ -1 z))) (* -1 (/ (- (* -1 (/ (+ 3/2 (* -1/6 (/ (- 54 (* 36 (/ 1 y))) z))) z)) 3) z))))>
#<alt 1>
#<alt (+ 1 (* 1/2 z))>
#<alt (+ 1 (* z (+ 1/2 (* 1/6 z))))>
#<alt (+ 1 (* z (+ 1/2 (* 1/6 z))))>
#<alt (* 1/6 (pow z 2))>
#<alt (* (pow z 2) (+ 1/6 (* 1/2 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2)))))>
#<alt (* (pow z 2) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2)))))>
#<alt (* 1/6 (pow z 2))>
#<alt (* (pow z 2) (+ 1/6 (* 1/2 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2)))))>
#<alt (* (pow z 2) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2)))))>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* 1/2 z)>
#<alt (* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))>
#<alt (* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))>
#<alt (* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))>
#<alt (* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))>
#<alt (* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))>
#<alt (* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))>
#<alt (* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))>
#<alt (* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))>
#<alt (* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))>
#<alt (* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))>
#<alt (* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))>
#<alt (* y (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))>
#<alt (* y z)>
#<alt (* z (+ y (* 1/2 (* y z))))>
#<alt (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))>
#<alt (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))>
#<alt (* 1/6 (* y (pow z 3)))>
#<alt (* (pow z 3) (+ (* 1/6 y) (* 1/2 (/ y z))))>
#<alt (* (pow z 3) (+ (* 1/6 y) (+ (* 1/2 (/ y z)) (/ y (pow z 2)))))>
#<alt (* (pow z 3) (+ (* 1/6 y) (+ (* 1/2 (/ y z)) (/ y (pow z 2)))))>
#<alt (* 1/6 (* y (pow z 3)))>
#<alt (* -1 (* (pow z 3) (+ (* -1/2 (/ y z)) (* -1/6 y))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 1/2 y) (/ y z)) z)) (* -1/6 y))))>
#<alt (* -1 (* (pow z 3) (+ (* -1 (/ (+ (* 1/2 y) (/ y z)) z)) (* -1/6 y))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/6 z))>
#<alt (+ 1/2 (* 1/6 z))>
#<alt (+ 1/2 (* 1/6 z))>
#<alt (* 1/6 z)>
#<alt (* z (+ 1/6 (* 1/2 (/ 1 z))))>
#<alt (* z (+ 1/6 (* 1/2 (/ 1 z))))>
#<alt (* z (+ 1/6 (* 1/2 (/ 1 z))))>
#<alt (* 1/6 z)>
#<alt (* z (+ 1/6 (* 1/2 (/ 1 z))))>
#<alt (* z (+ 1/6 (* 1/2 (/ 1 z))))>
#<alt (* z (+ 1/6 (* 1/2 (/ 1 z))))>
Calls

141 calls:

TimeVariablePointExpression
15.0ms
t
@inf
(/ (log (+ 1 (* y (* z (+ (* z (+ (* z 1/6) 1/2)) 1))))) t)
14.0ms
t
@0
(/ (log (+ 1 (* y (* z (+ (* z (+ (* z 1/6) 1/2)) 1))))) t)
5.0ms
x
@0
(- x (/ (log (+ 1 (* y (* z (+ (* z (+ (* z 1/6) 1/2)) 1))))) t))
5.0ms
t
@0
(- x (/ (log (+ 1 (* y (* z (+ (* z (+ (* z 1/6) 1/2)) 1))))) t))
3.0ms
y
@-inf
(* y (* z (+ (* z (+ (* z 1/6) 1/2)) 1)))

rewrite515.0ms (2.6%)

Memory
-4.4MiB live, 791.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 326×accelerator-lowering-fma.f32
5 326×accelerator-lowering-fma.f64
4 644×*-lowering-*.f32
4 644×*-lowering-*.f64
4 354×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035183
1224182
21919182
08862148
Stop Event
1×iter limit
1×node limit
Counts
21 → 673
Calls
Call 1
Inputs
(+ (* y (neg (/ (- (exp z) 1) t))) x)
(/ (- (exp z) 1) t)
(- (exp z) 1)
(neg (/ (- (exp z) 1) t))
(/ (* y z) (neg t))
(* y z)
(neg t)
(- x (/ (* z (+ (* y (* z 1/2)) y)) t))
(/ (* z (+ (* y (* z 1/2)) y)) t)
(+ (* y (* z 1/2)) y)
(* z (+ (* y (* z 1/2)) y))
(/ (log (+ (* y z) 1)) (neg t))
(log (+ (* y z) 1))
(+ (* y z) 1)
(- x (/ (log (+ 1 (* y (* z (+ (* z (+ (* z 1/6) 1/2)) 1))))) t))
(/ (log (+ 1 (* y (* z (+ (* z (+ (* z 1/6) 1/2)) 1))))) t)
(log (+ 1 (* y (* z (+ (* z (+ (* z 1/6) 1/2)) 1)))))
(+ (* z (+ (* z 1/6) 1/2)) 1)
(* z 1/2)
(* y (* z (+ (* z (+ (* z 1/6) 1/2)) 1)))
(+ (* z 1/6) 1/2)
Outputs
(+.f64 (/.f64 (*.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t)) x)
(+.f64 x (/.f64 (*.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t)))
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 y (expm1.f64 z)) t) #s(literal 2 binary64)) (fma.f64 y (-.f64 #s(literal 0 binary64) (/.f64 (expm1.f64 z) t)) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 y (-.f64 #s(literal 0 binary64) (/.f64 (expm1.f64 z) t)) (neg.f64 x))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t)))) (/.f64 (pow.f64 (/.f64 (*.f64 y (expm1.f64 z)) t) #s(literal 2 binary64)) (-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t)))))
(fma.f64 y (-.f64 #s(literal 0 binary64) (/.f64 (expm1.f64 z) t)) x)
(fma.f64 (/.f64 (expm1.f64 z) t) (/.f64 y #s(literal -1 binary64)) x)
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 (expm1.f64 z) t)) y x)
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 y (expm1.f64 z)) t) x)
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (expm1.f64 z) t) x)
(fma.f64 (/.f64 y t) (/.f64 (expm1.f64 z) #s(literal -1 binary64)) x)
(fma.f64 (neg.f64 y) (/.f64 (expm1.f64 z) t) x)
(fma.f64 (*.f64 y #s(literal -1 binary64)) (/.f64 (expm1.f64 z) t) x)
(fma.f64 (/.f64 (expm1.f64 z) #s(literal -1 binary64)) (/.f64 y t) x)
(fma.f64 (-.f64 #s(literal 0 binary64) (/.f64 (expm1.f64 z) #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal 0 binary64) t)) x)
(fma.f64 (/.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (expm1.f64 z) t)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t))) (pow.f64 (/.f64 (*.f64 y (expm1.f64 z)) t) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (/.f64 (*.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (/.f64 (expm1.f64 z) t)) (neg.f64 x)) (-.f64 (pow.f64 (/.f64 (*.f64 y (expm1.f64 z)) t) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (/.f64 (*.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t)) #s(literal 3 binary64))) (fma.f64 x (-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t))) (pow.f64 (/.f64 (*.f64 y (expm1.f64 z)) t) #s(literal 2 binary64))))
(/.f64 (fma.f64 x (*.f64 x x) (pow.f64 (/.f64 (*.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (/.f64 (*.f64 y (expm1.f64 z)) t) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (expm1.f64 z) t)) (*.f64 y x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t))) (pow.f64 (/.f64 (*.f64 y (expm1.f64 z)) t) #s(literal 2 binary64))) (fma.f64 x (*.f64 x x) (pow.f64 (/.f64 (*.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t)) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (/.f64 (expm1.f64 z) t)) (neg.f64 x)) (-.f64 (pow.f64 (/.f64 (*.f64 y (expm1.f64 z)) t) #s(literal 2 binary64)) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (expm1.f64 z)) t) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 y (-.f64 #s(literal 0 binary64) (/.f64 (expm1.f64 z) t)) (neg.f64 x)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (/.f64 (*.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t))) (pow.f64 (/.f64 (*.f64 y (expm1.f64 z)) t) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (pow.f64 (/.f64 (*.f64 y (expm1.f64 z)) (-.f64 #s(literal 0 binary64) t)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (/.f64 (*.f64 y (expm1.f64 z)) t) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 (expm1.f64 z) t)) (*.f64 y x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (expm1.f64 z)) t) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) (/.f64 (expm1.f64 z) t)) (neg.f64 x))))
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(*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 1/216 binary64) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 z #s(literal 1/12 binary64))))))
(*.f64 (fma.f64 (*.f64 z z) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z #s(literal 1/6 binary64) #s(literal -1/2 binary64))))

simplify546.0ms (2.8%)

Memory
9.2MiB live, 816.6MiB allocated
Algorithm
1×egg-herbie
Rules
9 316×accelerator-lowering-fma.f32
9 316×accelerator-lowering-fma.f64
6 146×*-lowering-*.f32
6 146×*-lowering-*.f64
4 102×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08547701
127797531
084576771
Stop Event
1×iter limit
1×node limit
Counts
564 → 564
Calls
Call 1
Inputs
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1
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1/2
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eval169.0ms (0.9%)

Memory
24.1MiB live, 363.0MiB allocated
Compiler

Compiled 28 145 to 3 517 computations (87.5% saved)

prune189.0ms (1%)

Memory
-32.6MiB live, 433.5MiB allocated
Pruning

38 alts after pruning (29 fresh and 9 done)

PrunedKeptTotal
New1 245161 261
Fresh31316
Picked235
Done066
Total1 250381 288
Accuracy
99.3%
Counts
1 288 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.5%
(fma.f64 (log.f64 (fma.f64 z (*.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) t)) x)
67.7%
(fma.f64 z (-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 z #s(literal 1/2 binary64)))) t) (/.f64 y t)) x)
67.1%
(fma.f64 y (/.f64 (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1 binary64))) t) x)
✓85.2%
(fma.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)) x)
63.1%
(/.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) (*.f64 x t)) t)
33.0%
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 z (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) (*.f64 z (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) y))) (*.f64 t t))) (fma.f64 (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) y) (/.f64 z t) x))
12.2%
(/.f64 (*.f64 y (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1 binary64)))) t)
4.1%
(/.f64 (*.f64 y z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t)))))
✓12.5%
(/.f64 (*.f64 y z) (neg.f64 t))
18.9%
(/.f64 (log1p.f64 (*.f64 y z)) (neg.f64 t))
3.4%
(/.f64 (log.f64 #s(literal 1 binary64)) (neg.f64 t))
32.3%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 z t) x) (-.f64 (*.f64 x x) (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (*.f64 t t)))))
12.5%
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 t (*.f64 y z))))
44.9%
(-.f64 x (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 (*.f64 z #s(literal 1/2 binary64)) z)) (*.f64 y (*.f64 (*.f64 z #s(literal 1/2 binary64)) z))) (*.f64 y (*.f64 z (*.f64 y z)))) (-.f64 (*.f64 y (*.f64 (*.f64 z #s(literal 1/2 binary64)) z)) (*.f64 y z))) t))
54.2%
(-.f64 x (/.f64 (*.f64 (*.f64 z z) (fma.f64 y #s(literal 1/2 binary64) (/.f64 y z))) t))
59.8%
(-.f64 x (/.f64 (*.f64 z (*.f64 (*.f64 y z) #s(literal 1/2 binary64))) t))
81.6%
(-.f64 x (/.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) (expm1.f64 z) #s(literal 1 binary64)) (expm1.f64 z))) t))
✓83.8%
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
56.6%
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/6 binary64)))) t))
70.3%
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) t))
✓71.5%
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (*.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) t))
✓73.4%
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))))) t))
55.9%
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) t))
57.7%
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (*.f64 z (*.f64 z #s(literal 1/2 binary64))))) t))
✓97.7%
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
✓79.1%
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
12.9%
(-.f64 x (+.f64 (/.f64 (log.f64 y) t) (/.f64 (log.f64 z) t)))
74.4%
(-.f64 x (*.f64 (/.f64 z t) y))
66.9%
(*.f64 (fma.f64 y (/.f64 z (*.f64 t x)) #s(literal -1 binary64)) (neg.f64 x))
10.2%
(*.f64 (/.f64 #s(literal -1 binary64) t) (log.f64 (fma.f64 y z #s(literal 1 binary64))))
12.9%
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) y)))) y) (/.f64 z t))
3.2%
(*.f64 (*.f64 y (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 y #s(literal 1/2 binary64))))
✓3.4%
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (*.f64 y (*.f64 z z)) t))
12.2%
(*.f64 z (*.f64 y (/.f64 #s(literal -1 binary64) t)))
71.3%
(*.f64 y (-.f64 (/.f64 x y) (/.f64 (expm1.f64 z) t)))
69.4%
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y z #s(literal 1 binary64))) (*.f64 t x))))
3.6%
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (*.f64 z z)) t))
✓71.4%
x
Compiler

Compiled 1 354 to 653 computations (51.8% saved)

regimes196.0ms (1%)

Memory
24.2MiB live, 252.9MiB allocated
Counts
57 → 1
Calls
Call 1
Inputs
x
(/.f64 (*.f64 y z) (neg.f64 t))
(-.f64 x (*.f64 (/.f64 z t) y))
(-.f64 x (/.f64 (*.f64 y z) t))
(fma.f64 y (-.f64 #s(literal 0 binary64) (/.f64 z t)) x)
(*.f64 z (*.f64 y (/.f64 #s(literal -1 binary64) t)))
(-.f64 x (*.f64 z (*.f64 y (/.f64 #s(literal 1 binary64) t))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (*.f64 z z)) t))
(/.f64 (*.f64 y (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1 binary64)))) t)
(fma.f64 y (/.f64 (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1 binary64))) t) x)
(*.f64 (fma.f64 y (/.f64 z (*.f64 t x)) #s(literal -1 binary64)) (neg.f64 x))
(-.f64 x (/.f64 (*.f64 z (*.f64 (*.f64 y z) #s(literal 1/2 binary64))) t))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 t (*.f64 y z))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 y z))))
(-.f64 x (/.f64 (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) t))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (*.f64 y (*.f64 z z)) t))
(*.f64 (*.f64 y (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) y)))) y) (/.f64 z t))
(-.f64 x (/.f64 (*.f64 z (fma.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)) (*.f64 z #s(literal 1/2 binary64)) y)) t))
(-.f64 x (/.f64 (*.f64 (*.f64 z z) (fma.f64 y #s(literal 1/2 binary64) (/.f64 y z))) t))
(fma.f64 z (-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 z #s(literal 1/2 binary64)))) t) (/.f64 y t)) x)
(fma.f64 z (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 y (-.f64 #s(literal 1 binary64) y))) t) (/.f64 y t)) x)
(/.f64 (*.f64 y z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 z t) x) (-.f64 (*.f64 x x) (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (*.f64 t t)))))
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 z (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) (*.f64 z (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) y))) (*.f64 t t))) (fma.f64 (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) y) (/.f64 z t) x))
(-.f64 x (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 (*.f64 z #s(literal 1/2 binary64)) z)) (*.f64 y (*.f64 (*.f64 z #s(literal 1/2 binary64)) z))) (*.f64 y (*.f64 z (*.f64 y z)))) (-.f64 (*.f64 y (*.f64 (*.f64 z #s(literal 1/2 binary64)) z)) (*.f64 y z))) t))
(/.f64 (log.f64 #s(literal 1 binary64)) (neg.f64 t))
(/.f64 (log1p.f64 (*.f64 y z)) (neg.f64 t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(/.f64 (log.f64 (fma.f64 y z #s(literal 1 binary64))) (neg.f64 t))
(fma.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)) x)
(-.f64 x (/.f64 (log.f64 (fma.f64 y z #s(literal 1 binary64))) t))
(*.f64 (/.f64 #s(literal -1 binary64) t) (log.f64 (fma.f64 y z #s(literal 1 binary64))))
(/.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) (*.f64 x t)) t)
(fma.f64 (log.f64 (fma.f64 y z #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (*.f64 z (*.f64 z #s(literal 1/2 binary64))))) t))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y z #s(literal 1 binary64))) (*.f64 t x))))
(*.f64 y (-.f64 (/.f64 x y) (/.f64 (expm1.f64 z) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))))) t))
(-.f64 x (/.f64 (log.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64))) t))
(fma.f64 y (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/6 binary64)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (*.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) t))
(fma.f64 (log.f64 (fma.f64 z (*.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) t)) x)
(-.f64 x (/.f64 (log.f64 (fma.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) #s(literal 1 binary64))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) t))
(-.f64 x (/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (exp.f64 z)))) t))
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
(fma.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) t)) x)
(-.f64 x (+.f64 (/.f64 (log.f64 y) t) (/.f64 (log.f64 z) t)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y (expm1.f64 z) #s(literal 1 binary64))) (*.f64 t x))))
(-.f64 x (/.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 y #s(literal -1/2 binary64)) (expm1.f64 z) #s(literal 1 binary64)) (expm1.f64 z))) t))
(-.f64 x (/.f64 (+.f64 (log.f64 (expm1.f64 z)) (log.f64 y)) t))
Outputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (expm1.f64 z))) t))
Calls

9 calls:

38.0ms
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
36.0ms
z
26.0ms
y
20.0ms
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
16.0ms
t
Results
AccuracySegmentsBranch
97.7%1x
97.7%1y
97.7%1z
97.7%1t
97.7%1(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
97.7%1(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
97.7%1(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
97.7%1(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
97.7%1(exp.f64 z)
Compiler

Compiled 83 to 63 computations (24.1% saved)

regimes398.0ms (2%)

Memory
-46.4MiB live, 207.9MiB allocated
Counts
49 → 3
Calls
Call 1
Inputs
x
(/.f64 (*.f64 y z) (neg.f64 t))
(-.f64 x (*.f64 (/.f64 z t) y))
(-.f64 x (/.f64 (*.f64 y z) t))
(fma.f64 y (-.f64 #s(literal 0 binary64) (/.f64 z t)) x)
(*.f64 z (*.f64 y (/.f64 #s(literal -1 binary64) t)))
(-.f64 x (*.f64 z (*.f64 y (/.f64 #s(literal 1 binary64) t))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (*.f64 z z)) t))
(/.f64 (*.f64 y (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1 binary64)))) t)
(fma.f64 y (/.f64 (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1 binary64))) t) x)
(*.f64 (fma.f64 y (/.f64 z (*.f64 t x)) #s(literal -1 binary64)) (neg.f64 x))
(-.f64 x (/.f64 (*.f64 z (*.f64 (*.f64 y z) #s(literal 1/2 binary64))) t))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 t (*.f64 y z))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 y z))))
(-.f64 x (/.f64 (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) t))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (*.f64 y (*.f64 z z)) t))
(*.f64 (*.f64 y (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) y)))) y) (/.f64 z t))
(-.f64 x (/.f64 (*.f64 z (fma.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)) (*.f64 z #s(literal 1/2 binary64)) y)) t))
(-.f64 x (/.f64 (*.f64 (*.f64 z z) (fma.f64 y #s(literal 1/2 binary64) (/.f64 y z))) t))
(fma.f64 z (-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 z #s(literal 1/2 binary64)))) t) (/.f64 y t)) x)
(fma.f64 z (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 y (-.f64 #s(literal 1 binary64) y))) t) (/.f64 y t)) x)
(/.f64 (*.f64 y z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 z t) x) (-.f64 (*.f64 x x) (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (*.f64 t t)))))
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 z (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) (*.f64 z (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) y))) (*.f64 t t))) (fma.f64 (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) y) (/.f64 z t) x))
(-.f64 x (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 (*.f64 z #s(literal 1/2 binary64)) z)) (*.f64 y (*.f64 (*.f64 z #s(literal 1/2 binary64)) z))) (*.f64 y (*.f64 z (*.f64 y z)))) (-.f64 (*.f64 y (*.f64 (*.f64 z #s(literal 1/2 binary64)) z)) (*.f64 y z))) t))
(/.f64 (log.f64 #s(literal 1 binary64)) (neg.f64 t))
(/.f64 (log1p.f64 (*.f64 y z)) (neg.f64 t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(/.f64 (log.f64 (fma.f64 y z #s(literal 1 binary64))) (neg.f64 t))
(fma.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)) x)
(-.f64 x (/.f64 (log.f64 (fma.f64 y z #s(literal 1 binary64))) t))
(*.f64 (/.f64 #s(literal -1 binary64) t) (log.f64 (fma.f64 y z #s(literal 1 binary64))))
(/.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) (*.f64 x t)) t)
(fma.f64 (log.f64 (fma.f64 y z #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (*.f64 z (*.f64 z #s(literal 1/2 binary64))))) t))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y z #s(literal 1 binary64))) (*.f64 t x))))
(*.f64 y (-.f64 (/.f64 x y) (/.f64 (expm1.f64 z) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))))) t))
(-.f64 x (/.f64 (log.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64))) t))
(fma.f64 y (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/6 binary64)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (*.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) t))
(fma.f64 (log.f64 (fma.f64 z (*.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) t)) x)
(-.f64 x (/.f64 (log.f64 (fma.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) #s(literal 1 binary64))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) t))
(-.f64 x (/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t))
Outputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
(fma.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)) x)
(-.f64 x (/.f64 (log.f64 (*.f64 y (expm1.f64 z))) t))
Calls

9 calls:

70.0ms
z
63.0ms
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
62.0ms
t
58.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
51.0ms
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
Results
AccuracySegmentsBranch
85.2%1x
95.2%3y
92.1%2z
85.2%1t
98.1%5(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
98.7%3(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
98.7%3(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
92.1%2(exp.f64 z)
92.4%3(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
Compiler

Compiled 83 to 63 computations (24.1% saved)

regimes63.0ms (0.3%)

Memory
18.4MiB live, 57.7MiB allocated
Counts
48 → 3
Calls
Call 1
Inputs
x
(/.f64 (*.f64 y z) (neg.f64 t))
(-.f64 x (*.f64 (/.f64 z t) y))
(-.f64 x (/.f64 (*.f64 y z) t))
(fma.f64 y (-.f64 #s(literal 0 binary64) (/.f64 z t)) x)
(*.f64 z (*.f64 y (/.f64 #s(literal -1 binary64) t)))
(-.f64 x (*.f64 z (*.f64 y (/.f64 #s(literal 1 binary64) t))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (*.f64 z z)) t))
(/.f64 (*.f64 y (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1 binary64)))) t)
(fma.f64 y (/.f64 (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1 binary64))) t) x)
(*.f64 (fma.f64 y (/.f64 z (*.f64 t x)) #s(literal -1 binary64)) (neg.f64 x))
(-.f64 x (/.f64 (*.f64 z (*.f64 (*.f64 y z) #s(literal 1/2 binary64))) t))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 t (*.f64 y z))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 y z))))
(-.f64 x (/.f64 (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) t))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (*.f64 y (*.f64 z z)) t))
(*.f64 (*.f64 y (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) y)))) y) (/.f64 z t))
(-.f64 x (/.f64 (*.f64 z (fma.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)) (*.f64 z #s(literal 1/2 binary64)) y)) t))
(-.f64 x (/.f64 (*.f64 (*.f64 z z) (fma.f64 y #s(literal 1/2 binary64) (/.f64 y z))) t))
(fma.f64 z (-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 z #s(literal 1/2 binary64)))) t) (/.f64 y t)) x)
(fma.f64 z (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 y (-.f64 #s(literal 1 binary64) y))) t) (/.f64 y t)) x)
(/.f64 (*.f64 y z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 z t) x) (-.f64 (*.f64 x x) (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (*.f64 t t)))))
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 z (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) (*.f64 z (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) y))) (*.f64 t t))) (fma.f64 (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) y) (/.f64 z t) x))
(-.f64 x (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 (*.f64 z #s(literal 1/2 binary64)) z)) (*.f64 y (*.f64 (*.f64 z #s(literal 1/2 binary64)) z))) (*.f64 y (*.f64 z (*.f64 y z)))) (-.f64 (*.f64 y (*.f64 (*.f64 z #s(literal 1/2 binary64)) z)) (*.f64 y z))) t))
(/.f64 (log.f64 #s(literal 1 binary64)) (neg.f64 t))
(/.f64 (log1p.f64 (*.f64 y z)) (neg.f64 t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(/.f64 (log.f64 (fma.f64 y z #s(literal 1 binary64))) (neg.f64 t))
(fma.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)) x)
(-.f64 x (/.f64 (log.f64 (fma.f64 y z #s(literal 1 binary64))) t))
(*.f64 (/.f64 #s(literal -1 binary64) t) (log.f64 (fma.f64 y z #s(literal 1 binary64))))
(/.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) (exp.f64 z)) (*.f64 x t)) t)
(fma.f64 (log.f64 (fma.f64 y z #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (*.f64 z (*.f64 z #s(literal 1/2 binary64))))) t))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 y z #s(literal 1 binary64))) (*.f64 t x))))
(*.f64 y (-.f64 (/.f64 x y) (/.f64 (expm1.f64 z) t)))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (*.f64 z (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))))) t))
(-.f64 x (/.f64 (log.f64 (fma.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 y z) #s(literal 1 binary64))) t))
(fma.f64 y (-.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (exp.f64 z) t)) x)
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/6 binary64)))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (*.f64 z (*.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (*.f64 z (fma.f64 z (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) t))
(fma.f64 (log.f64 (fma.f64 z (*.f64 y (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) t)) x)
(-.f64 x (/.f64 (log.f64 (fma.f64 z (fma.f64 (*.f64 y z) (fma.f64 z #s(literal 1/6 binary64) #s(literal 1/2 binary64)) y) #s(literal 1 binary64))) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y (*.f64 z (fma.f64 z (fma.f64 z (fma.f64 z #s(literal 1/24 binary64) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))) t))
Outputs
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
(fma.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)) x)
x
Calls

4 calls:

29.0ms
y
11.0ms
(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
10.0ms
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
10.0ms
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
Results
AccuracySegmentsBranch
93.1%3(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
92.6%3y
94.0%3(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
94.0%3(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
Compiler

Compiled 45 to 34 computations (24.4% saved)

regimes43.0ms (0.2%)

Memory
19.3MiB live, 57.9MiB allocated
Counts
31 → 2
Calls
Call 1
Inputs
x
(/.f64 (*.f64 y z) (neg.f64 t))
(-.f64 x (*.f64 (/.f64 z t) y))
(-.f64 x (/.f64 (*.f64 y z) t))
(fma.f64 y (-.f64 #s(literal 0 binary64) (/.f64 z t)) x)
(*.f64 z (*.f64 y (/.f64 #s(literal -1 binary64) t)))
(-.f64 x (*.f64 z (*.f64 y (/.f64 #s(literal 1 binary64) t))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (*.f64 z z)) t))
(/.f64 (*.f64 y (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1 binary64)))) t)
(fma.f64 y (/.f64 (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1 binary64))) t) x)
(*.f64 (fma.f64 y (/.f64 z (*.f64 t x)) #s(literal -1 binary64)) (neg.f64 x))
(-.f64 x (/.f64 (*.f64 z (*.f64 (*.f64 y z) #s(literal 1/2 binary64))) t))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 t (*.f64 y z))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 y z))))
(-.f64 x (/.f64 (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) t))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (*.f64 y (*.f64 z z)) t))
(*.f64 (*.f64 y (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) y)))) y) (/.f64 z t))
(-.f64 x (/.f64 (*.f64 z (fma.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)) (*.f64 z #s(literal 1/2 binary64)) y)) t))
(-.f64 x (/.f64 (*.f64 (*.f64 z z) (fma.f64 y #s(literal 1/2 binary64) (/.f64 y z))) t))
(fma.f64 z (-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 z #s(literal 1/2 binary64)))) t) (/.f64 y t)) x)
(fma.f64 z (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 y (-.f64 #s(literal 1 binary64) y))) t) (/.f64 y t)) x)
(/.f64 (*.f64 y z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 z t) x) (-.f64 (*.f64 x x) (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (*.f64 t t)))))
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 z (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) (*.f64 z (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) y))) (*.f64 t t))) (fma.f64 (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) y) (/.f64 z t) x))
(-.f64 x (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 (*.f64 z #s(literal 1/2 binary64)) z)) (*.f64 y (*.f64 (*.f64 z #s(literal 1/2 binary64)) z))) (*.f64 y (*.f64 z (*.f64 y z)))) (-.f64 (*.f64 y (*.f64 (*.f64 z #s(literal 1/2 binary64)) z)) (*.f64 y z))) t))
(/.f64 (log.f64 #s(literal 1 binary64)) (neg.f64 t))
(/.f64 (log1p.f64 (*.f64 y z)) (neg.f64 t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(/.f64 (log.f64 (fma.f64 y z #s(literal 1 binary64))) (neg.f64 t))
Outputs
(-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
Calls

4 calls:

19.0ms
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
9.0ms
z
7.0ms
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
7.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
92.0%2(exp.f64 z)
92.1%2z
93.0%3(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
93.0%3(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
Compiler

Compiled 36 to 28 computations (22.2% saved)

regimes122.0ms (0.6%)

Memory
-13.8MiB live, 103.1MiB allocated
Counts
29 → 2
Calls
Call 1
Inputs
x
(/.f64 (*.f64 y z) (neg.f64 t))
(-.f64 x (*.f64 (/.f64 z t) y))
(-.f64 x (/.f64 (*.f64 y z) t))
(fma.f64 y (-.f64 #s(literal 0 binary64) (/.f64 z t)) x)
(*.f64 z (*.f64 y (/.f64 #s(literal -1 binary64) t)))
(-.f64 x (*.f64 z (*.f64 y (/.f64 #s(literal 1 binary64) t))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (*.f64 z z)) t))
(/.f64 (*.f64 y (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1 binary64)))) t)
(fma.f64 y (/.f64 (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1 binary64))) t) x)
(*.f64 (fma.f64 y (/.f64 z (*.f64 t x)) #s(literal -1 binary64)) (neg.f64 x))
(-.f64 x (/.f64 (*.f64 z (*.f64 (*.f64 y z) #s(literal 1/2 binary64))) t))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 t (*.f64 y z))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 y z))))
(-.f64 x (/.f64 (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) t))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (*.f64 y (*.f64 z z)) t))
(*.f64 (*.f64 y (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) y)))) y) (/.f64 z t))
(-.f64 x (/.f64 (*.f64 z (fma.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)) (*.f64 z #s(literal 1/2 binary64)) y)) t))
(-.f64 x (/.f64 (*.f64 (*.f64 z z) (fma.f64 y #s(literal 1/2 binary64) (/.f64 y z))) t))
(fma.f64 z (-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 z #s(literal 1/2 binary64)))) t) (/.f64 y t)) x)
(fma.f64 z (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 y (-.f64 #s(literal 1 binary64) y))) t) (/.f64 y t)) x)
(/.f64 (*.f64 y z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 z t) x) (-.f64 (*.f64 x x) (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (*.f64 t t)))))
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 z (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) (*.f64 z (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) y))) (*.f64 t t))) (fma.f64 (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) y) (/.f64 z t) x))
(-.f64 x (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 (*.f64 z #s(literal 1/2 binary64)) z)) (*.f64 y (*.f64 (*.f64 z #s(literal 1/2 binary64)) z))) (*.f64 y (*.f64 z (*.f64 y z)))) (-.f64 (*.f64 y (*.f64 (*.f64 z #s(literal 1/2 binary64)) z)) (*.f64 y z))) t))
(/.f64 (log.f64 #s(literal 1 binary64)) (neg.f64 t))
(/.f64 (log1p.f64 (*.f64 y z)) (neg.f64 t))
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
Outputs
x
(-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t))
Calls

7 calls:

51.0ms
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
31.0ms
z
10.0ms
y
8.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
7.0ms
(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
Results
AccuracySegmentsBranch
83.3%3(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
83.5%3y
84.3%3(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
84.3%3(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
85.4%4(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
86.8%2(exp.f64 z)
87.0%2z
Compiler

Compiled 73 to 55 computations (24.7% saved)

regimes115.0ms (0.6%)

Memory
-0.9MiB live, 116.8MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
x
(/.f64 (*.f64 y z) (neg.f64 t))
(-.f64 x (*.f64 (/.f64 z t) y))
(-.f64 x (/.f64 (*.f64 y z) t))
(fma.f64 y (-.f64 #s(literal 0 binary64) (/.f64 z t)) x)
(*.f64 z (*.f64 y (/.f64 #s(literal -1 binary64) t)))
(-.f64 x (*.f64 z (*.f64 y (/.f64 #s(literal 1 binary64) t))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (*.f64 z z)) t))
(/.f64 (*.f64 y (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1 binary64)))) t)
(fma.f64 y (/.f64 (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1 binary64))) t) x)
(*.f64 (fma.f64 y (/.f64 z (*.f64 t x)) #s(literal -1 binary64)) (neg.f64 x))
(-.f64 x (/.f64 (*.f64 z (*.f64 (*.f64 y z) #s(literal 1/2 binary64))) t))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 t (*.f64 y z))))
(-.f64 x (/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 y z))))
(-.f64 x (/.f64 (*.f64 z (fma.f64 y (*.f64 z #s(literal 1/2 binary64)) y)) t))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (/.f64 (*.f64 y (*.f64 z z)) t))
(*.f64 (*.f64 y (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 y #s(literal 1/2 binary64))))
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y (*.f64 z (-.f64 #s(literal 1 binary64) y)))) y) (/.f64 z t))
(-.f64 x (/.f64 (*.f64 z (fma.f64 (*.f64 y (-.f64 #s(literal 1 binary64) y)) (*.f64 z #s(literal 1/2 binary64)) y)) t))
(-.f64 x (/.f64 (*.f64 (*.f64 z z) (fma.f64 y #s(literal 1/2 binary64) (/.f64 y z))) t))
(fma.f64 z (-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 z #s(literal 1/2 binary64)))) t) (/.f64 y t)) x)
(fma.f64 z (-.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) z) (*.f64 y (-.f64 #s(literal 1 binary64) y))) t) (/.f64 y t)) x)
(/.f64 (*.f64 y z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t (*.f64 t t))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 z t) x) (-.f64 (*.f64 x x) (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (*.f64 t t)))))
(/.f64 (-.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 z (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) y)) (*.f64 z (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) y))) (*.f64 t t))) (fma.f64 (*.f64 (fma.f64 z #s(literal 1/2 binary64) #s(literal 1 binary64)) y) (/.f64 z t) x))
(-.f64 x (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 (*.f64 z #s(literal 1/2 binary64)) z)) (*.f64 y (*.f64 (*.f64 z #s(literal 1/2 binary64)) z))) (*.f64 y (*.f64 z (*.f64 y z)))) (-.f64 (*.f64 y (*.f64 (*.f64 z #s(literal 1/2 binary64)) z)) (*.f64 y z))) t))
(/.f64 (log.f64 #s(literal 1 binary64)) (neg.f64 t))
(/.f64 (log1p.f64 (*.f64 y z)) (neg.f64 t))
Outputs
x
(fma.f64 y (/.f64 (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1 binary64))) t) x)
Calls

9 calls:

28.0ms
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
27.0ms
y
14.0ms
(exp.f64 z)
8.0ms
t
8.0ms
x
Results
AccuracySegmentsBranch
77.4%2(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
76.5%2y
77.6%3(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
77.6%2(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
77.6%2(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
79.2%3x
77.6%2t
80.9%2(exp.f64 z)
80.9%2z
Compiler

Compiled 83 to 63 computations (24.1% saved)

regimes6.0ms (0%)

Memory
11.5MiB live, 11.5MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
x
(/.f64 (*.f64 y z) (neg.f64 t))
(-.f64 x (*.f64 (/.f64 z t) y))
(-.f64 x (/.f64 (*.f64 y z) t))
(fma.f64 y (-.f64 #s(literal 0 binary64) (/.f64 z t)) x)
(*.f64 z (*.f64 y (/.f64 #s(literal -1 binary64) t)))
(-.f64 x (*.f64 z (*.f64 y (/.f64 #s(literal 1 binary64) t))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 y (*.f64 z z)) t))
(/.f64 (*.f64 y (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1 binary64)))) t)
Outputs
x
(-.f64 x (*.f64 (/.f64 z t) y))
Calls

2 calls:

3.0ms
z
3.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
80.8%2(exp.f64 z)
80.8%2z
Compiler

Compiled 11 to 9 computations (18.2% saved)

regimes35.0ms (0.2%)

Memory
-11.4MiB live, 27.0MiB allocated
Accuracy

Total -43.4b remaining (-237.2%)

Threshold costs -43.4b (-237.2%)

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

9 calls:

23.0ms
(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
2.0ms
(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
2.0ms
y
2.0ms
z
1.0ms
t
Results
AccuracySegmentsBranch
71.4%1(/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t)
71.4%1y
71.4%1(-.f64 x (/.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))) t))
71.4%1t
71.4%1(log.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))))
71.4%1(+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z)))
71.4%1x
71.4%1(exp.f64 z)
71.4%1z
Compiler

Compiled 83 to 63 computations (24.1% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0000000000000433
1.00000064021787
0.0ms
0.0
0.9660065279363115
Compiler

Compiled 20 to 19 computations (5% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
3.510270655924198e+28
3.975274622394719e+47
0.0ms
0.0
0.9660065279363115
Compiler

Compiled 20 to 19 computations (5% saved)

bsearch48.0ms (0.2%)

Memory
19.7MiB live, 58.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
46.0ms
-379198654.6050761
-1039351.8366359046
Samples
29.0ms85×0valid
11.0ms43×1valid
1.0ms19×0invalid
Compiler

Compiled 228 to 163 computations (28.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-log: 7.0ms (46.8% of total)
ival-sub: 2.0ms (13.4% of total)
ival-exp: 2.0ms (13.4% of total)
ival-add: 1.0ms (6.7% of total)
ival-div: 1.0ms (6.7% of total)
adjust: 1.0ms (6.7% of total)
ival-mult: 1.0ms (6.7% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch84.0ms (0.4%)

Memory
-36.5MiB live, 82.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
67.0ms
-1.7899676449563275e+76
-5.961361283479217e+57
Samples
47.0ms106×0valid
13.0ms54×1valid
1.0ms20×0invalid
Compiler

Compiled 210 to 159 computations (24.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-log: 47.0ms (84.8% of total)
ival-sub: 2.0ms (3.6% of total)
ival-div: 2.0ms (3.6% of total)
ival-add: 1.0ms (1.8% of total)
adjust: 1.0ms (1.8% of total)
ival-exp: 1.0ms (1.8% of total)
ival-mult: 1.0ms (1.8% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch48.0ms (0.2%)

Memory
5.3MiB live, 43.4MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
28.0ms
-2.1317037878048765e-7
-3.239849147112761e-11
Samples
15.0ms58×1valid
6.0ms70×0valid
1.0ms17×0invalid
Compiler

Compiled 196 to 147 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-log: 7.0ms (39.8% of total)
ival-exp: 3.0ms (17.1% of total)
ival-sub: 2.0ms (11.4% of total)
ival-div: 1.0ms (5.7% of total)
adjust: 1.0ms (5.7% of total)
ival-mult: 1.0ms (5.7% of total)
ival-add: 1.0ms (5.7% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch31.0ms (0.2%)

Memory
-4.6MiB live, 42.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
29.0ms
-2.1317037878048765e-7
-3.239849147112761e-11
Samples
10.0ms38×1valid
8.0ms90×0valid
1.0ms20×0invalid
Compiler

Compiled 164 to 123 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-log: 5.0ms (35.3% of total)
ival-sub: 2.0ms (14.1% of total)
ival-exp: 2.0ms (14.1% of total)
adjust: 1.0ms (7.1% of total)
ival-div: 1.0ms (7.1% of total)
ival-mult: 1.0ms (7.1% of total)
ival-add: 1.0ms (7.1% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify12.0ms (0.1%)

Memory
10.5MiB live, 10.5MiB allocated
Algorithm
1×egg-herbie
Rules
44×+-commutative_binary64
42×sub-neg_binary64
40×*-commutative_binary64
30×neg-sub0_binary64
30×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057157
186157
2131157
3164157
4183157
5188157
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.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 y z)) t)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 2251800939585155/2251799813685248 binary64)) (fma.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)) x) (-.f64 x (/.f64 (log.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 y z)) t)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 49999999999999995716575428608 binary64)) (fma.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)) x) x))
(if (<=.f64 z #s(literal -1050000 binary64)) (-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t)) (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)))
(if (<=.f64 z #s(literal -89999999999999996336871984677886623688156781897141366816768 binary64)) x (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)))
(if (<=.f64 z #s(literal -1983393922805251/9444732965739290427392 binary64)) x (fma.f64 y (/.f64 (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1 binary64))) t) x))
(if (<=.f64 z #s(literal -1662273001970115/75557863725914323419136 binary64)) x (-.f64 x (*.f64 (/.f64 z t) y)))
x
Outputs
(-.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 y z)) t)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 2251800939585155/2251799813685248 binary64)) (fma.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)) x) (-.f64 x (/.f64 (log.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 y z)) t)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 2251800939585155/2251799813685248 binary64)) (fma.f64 y (-.f64 #s(literal 0 binary64) (/.f64 (expm1.f64 z) t)) x) (-.f64 x (/.f64 (log.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 y z)) t)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 49999999999999995716575428608 binary64)) (fma.f64 y (neg.f64 (/.f64 (expm1.f64 z) t)) x) x))
(if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 0 binary64)) (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)) (if (<=.f64 (+.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y (exp.f64 z))) #s(literal 49999999999999995716575428608 binary64)) (fma.f64 y (-.f64 #s(literal 0 binary64) (/.f64 (expm1.f64 z) t)) x) x))
(if (<=.f64 z #s(literal -1050000 binary64)) (-.f64 x (/.f64 (*.f64 y (expm1.f64 z)) t)) (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)))
(if (<=.f64 z #s(literal -89999999999999996336871984677886623688156781897141366816768 binary64)) x (-.f64 x (/.f64 (log1p.f64 (*.f64 y z)) t)))
(if (<=.f64 z #s(literal -1983393922805251/9444732965739290427392 binary64)) x (fma.f64 y (/.f64 (*.f64 z (fma.f64 z #s(literal -1/2 binary64) #s(literal -1 binary64))) t) x))
(if (<=.f64 z #s(literal -1662273001970115/75557863725914323419136 binary64)) x (-.f64 x (*.f64 (/.f64 z t) y)))
(if (<=.f64 z #s(literal -1662273001970115/75557863725914323419136 binary64)) x (-.f64 x (*.f64 y (/.f64 z t))))
x

soundness927.0ms (4.7%)

Memory
46.1MiB live, 1 059.8MiB allocated
Rules
15 880×accelerator-lowering-fma.f32
15 880×accelerator-lowering-fma.f64
9 316×accelerator-lowering-fma.f32
9 316×accelerator-lowering-fma.f64
9 270×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032140
1225140
22267140
08544116
03352380
110122276
231702227
082271752
05746116
118165953
254725918
082495048
01245
16645
258645
3717745
0895738
033171
1198169
21753169
08321135
08547701
127797531
084576771
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 458 to 262 computations (42.8% saved)

preprocess128.0ms (0.7%)

Memory
-24.9MiB live, 263.1MiB allocated
Compiler

Compiled 450 to 188 computations (58.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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