Kahan p13 Example 1

Time bar (total: 6.7s)

analyze2.0ms (0%)

Memory
3.6MiB live, 3.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
75%75%25%0%0%0%0%3
87.5%87.5%12.5%0%0%0%0%4
93.8%93.7%6.2%0%0%0%0%5
96.9%96.8%3.1%0%0%0%0%6
98.4%98.4%1.6%0%0%0%0%7
99.2%99.2%0.8%0%0%0%0%8
99.6%99.6%0.4%0%0%0%0%9
99.8%99.8%0.2%0%0%0%0%10
99.9%99.9%0.1%0%0%0%0%11
100%99.9%0%0%0%0%0%12
Compiler

Compiled 37 to 12 computations (67.6% saved)

sample763.0ms (11.4%)

Memory
14.4MiB live, 1 476.4MiB allocated
Samples
546.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 366.0ms
ival-add: 124.0ms (33.9% of total)
ival-div: 116.0ms (31.7% of total)
ival-mult: 109.0ms (29.8% of total)
exact: 7.0ms (1.9% of total)
ival-true: 6.0ms (1.6% of total)
ival-assert: 4.0ms (1.1% of total)
Bogosity

preprocess760.0ms (11.4%)

Memory
7.4MiB live, 887.9MiB allocated
Algorithm
egg-herbie
Rules
21 370×accelerator-lowering-fma.f32
21 370×accelerator-lowering-fma.f64
4 054×*-lowering-*.f32
4 054×*-lowering-*.f64
1 848×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019114
152102
213793
350493
4185993
5339993
6531293
7656793
8755093
9783293
01035
12231
24831
311531
419331
523431
638131
753531
868031
974431
1082731
11119031
12203829
13339229
14549329
15593129
16597629
17598329
18598929
19710229
0818626
Stop Event
iter limit
node limit
node limit
Calls
Call 1
Inputs
(/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))
Outputs
(/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 t t) (*.f64 (fma.f64 t (+.f64 #s(literal 2 binary64) t) #s(literal 1 binary64)) (fma.f64 t (/.f64 (+.f64 t t) (fma.f64 t (+.f64 #s(literal 2 binary64) t) #s(literal 1 binary64))) #s(literal 1 binary64)))))
Call 2
Inputs
(/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))
(/ (+ 1 (* (/ (* 2 (neg t)) (+ 1 (neg t))) (/ (* 2 (neg t)) (+ 1 (neg t))))) (+ 2 (* (/ (* 2 (neg t)) (+ 1 (neg t))) (/ (* 2 (neg t)) (+ 1 (neg t))))))
(neg (/ (+ 1 (* (/ (* 2 (neg t)) (+ 1 (neg t))) (/ (* 2 (neg t)) (+ 1 (neg t))))) (+ 2 (* (/ (* 2 (neg t)) (+ 1 (neg t))) (/ (* 2 (neg t)) (+ 1 (neg t)))))))
Outputs
(/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))
(/ (+ 1 (* (/ t (+ 1 t)) (* t (/ 4 (+ 1 t))))) (+ 2 (* (/ t (+ 1 t)) (* t (/ 4 (+ 1 t))))))
(/ (+ 1 (* (/ (* 2 (neg t)) (+ 1 (neg t))) (/ (* 2 (neg t)) (+ 1 (neg t))))) (+ 2 (* (/ (* 2 (neg t)) (+ 1 (neg t))) (/ (* 2 (neg t)) (+ 1 (neg t))))))
(/ (+ 1 (* t (/ (/ (* t 4) (+ t -1)) (+ t -1)))) (+ 2 (* t (/ (/ (* t 4) (+ t -1)) (+ t -1)))))
(neg (/ (+ 1 (* (/ (* 2 (neg t)) (+ 1 (neg t))) (/ (* 2 (neg t)) (+ 1 (neg t))))) (+ 2 (* (/ (* 2 (neg t)) (+ 1 (neg t))) (/ (* 2 (neg t)) (+ 1 (neg t)))))))
(/ (+ 1 (* t (/ (/ (* t 4) (+ t -1)) (+ t -1)))) (+ -2 (* t (/ (/ (* t 4) (+ t -1)) (- 1 t)))))

explain190.0ms (2.9%)

Memory
-16.9MiB live, 293.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))
00-0-t
00-0-#s(literal 1 binary64)
00-0-(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))
00-0-(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))
00-0-(+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))))
00-0-#s(literal 2 binary64)
00-0-(+.f64 #s(literal 1 binary64) t)
00-0-(*.f64 #s(literal 2 binary64) t)
00-0-(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
41.0ms512×0valid
Compiler

Compiled 276 to 44 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-div: 10.0ms (41.4% of total)
ival-add: 7.0ms (29% of total)
ival-mult: 6.0ms (24.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))
Compiler

Compiled 36 to 10 computations (72.2% saved)

simplify696.0ms (10.4%)

Memory
-35.3MiB live, 885.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff128
(*.f64 #s(literal 2 binary64) t)
cost-diff128
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))))
cost-diff576
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))
cost-diff704
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))
Rules
21 370×accelerator-lowering-fma.f32
21 370×accelerator-lowering-fma.f64
4 054×*-lowering-*.f32
4 054×*-lowering-*.f64
1 848×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010100
12290
24890
311590
419390
523490
638190
753590
868090
974490
1082790
11119090
12203888
13339288
14549388
15593188
16597688
17598388
18598988
19710288
0818680
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))
(+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))
1
(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))
(/ (* 2 t) (+ 1 t))
(* 2 t)
2
t
(+ 1 t)
(+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))
Outputs
(/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 t t) (*.f64 (fma.f64 t (+.f64 #s(literal 2 binary64) t) #s(literal 1 binary64)) (fma.f64 t (/.f64 (+.f64 t t) (fma.f64 t (+.f64 #s(literal 2 binary64) t) #s(literal 1 binary64))) #s(literal 1 binary64)))))
(+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))
(fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (fma.f64 t (+.f64 #s(literal 2 binary64) t) #s(literal 1 binary64))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))
(/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (fma.f64 t (+.f64 #s(literal 2 binary64) t) #s(literal 1 binary64)))
(/ (* 2 t) (+ 1 t))
(/.f64 (+.f64 t t) (+.f64 #s(literal 1 binary64) t))
(* 2 t)
(+.f64 t t)
2
#s(literal 2 binary64)
t
(+ 1 t)
(+.f64 #s(literal 1 binary64) t)
(+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))
(fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (fma.f64 t (+.f64 #s(literal 2 binary64) t) #s(literal 1 binary64))) #s(literal 2 binary64))

localize128.0ms (1.9%)

Memory
-9.6MiB live, 64.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 #s(literal 2 binary64) t)
accuracy100.0%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))
accuracy100.0%
(/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t))
accuracy100.0%
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))
Samples
37.0ms256×0valid
Compiler

Compiled 102 to 12 computations (88.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 3.0ms (30.2% of total)
ival-add: 3.0ms (30.2% of total)
ival-mult: 3.0ms (30.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
6.2MiB live, 6.2MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#<alt (/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))>
#<alt (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))>
#<alt (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))>
#<alt (* 2 t)>
#<alt (/ (* 2 t) (+ 1 t))>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (pow t 2))>
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))>
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))>
#<alt 5/6>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))>
#<alt (- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))>
#<alt 5/6>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))>
#<alt (+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))>
#<alt (* 4 (pow t 2))>
#<alt (* (pow t 2) (+ 4 (* -8 t)))>
#<alt (* (pow t 2) (+ 4 (* t (- (* 12 t) 8))))>
#<alt (* (pow t 2) (+ 4 (* t (- (* t (+ 12 (* -16 t))) 8))))>
#<alt 4>
#<alt (- 4 (* 8 (/ 1 t)))>
#<alt (- (+ 4 (/ 12 (pow t 2))) (* 8 (/ 1 t)))>
#<alt (- (+ 4 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))))>
#<alt 4>
#<alt (- 4 (* 8 (/ 1 t)))>
#<alt (+ 4 (* -1 (/ (- 8 (* 12 (/ 1 t))) t)))>
#<alt (+ 4 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t)))>
#<alt 1>
#<alt (+ 1 (* 4 (pow t 2)))>
#<alt (+ 1 (* (pow t 2) (+ 4 (* -8 t))))>
#<alt (+ 1 (* (pow t 2) (+ 4 (* t (- (* 12 t) 8)))))>
#<alt 5>
#<alt (- 5 (* 8 (/ 1 t)))>
#<alt (- (+ 5 (/ 12 (pow t 2))) (* 8 (/ 1 t)))>
#<alt (- (+ 5 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))))>
#<alt 5>
#<alt (- 5 (* 8 (/ 1 t)))>
#<alt (+ 5 (* -1 (/ (- 8 (* 12 (/ 1 t))) t)))>
#<alt (+ 5 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t)))>
#<alt (* 2 t)>
#<alt (* 2 t)>
#<alt (* 2 t)>
#<alt (* 2 t)>
#<alt (* 2 t)>
#<alt (* 2 t)>
#<alt (* 2 t)>
#<alt (* 2 t)>
#<alt (* 2 t)>
#<alt (* 2 t)>
#<alt (* 2 t)>
#<alt (* 2 t)>
#<alt (* 2 t)>
#<alt (* t (+ 2 (* -2 t)))>
#<alt (* t (+ 2 (* t (- (* 2 t) 2))))>
#<alt (* t (+ 2 (* t (- (* t (+ 2 (* -2 t))) 2))))>
#<alt 2>
#<alt (- 2 (* 2 (/ 1 t)))>
#<alt (- (+ 2 (/ 2 (pow t 2))) (* 2 (/ 1 t)))>
#<alt (- (+ 2 (/ 2 (pow t 2))) (+ (* 2 (/ 1 t)) (* 2 (/ 1 (pow t 3)))))>
#<alt 2>
#<alt (- 2 (* 2 (/ 1 t)))>
#<alt (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 t))) t)))>
#<alt (+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 t))) t))) t)))>
Calls

15 calls:

TimeVariablePointExpression
0.0ms
t
@-inf
(/ (* 2 t) (+ 1 t))
0.0ms
t
@inf
(/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))
0.0ms
t
@0
(/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))
0.0ms
t
@-inf
(/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))
0.0ms
t
@-inf
(* 2 t)

rewrite756.0ms (11.3%)

Memory
20.3MiB live, 616.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 384×accelerator-lowering-fma.f32
6 384×accelerator-lowering-fma.f64
5 356×*-lowering-*.f32
5 356×*-lowering-*.f64
3 918×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01053
17553
270353
0838850
Stop Event
iter limit
node limit
Counts
5 → 487
Calls
Call 1
Inputs
(/ (+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))) (+ 2 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))))
(* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t)))
(+ 1 (* (/ (* 2 t) (+ 1 t)) (/ (* 2 t) (+ 1 t))))
(* 2 t)
(/ (* 2 t) (+ 1 t))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))))) (*.f64 (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))))) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))))) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 8 binary64) (/.f64 (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (*.f64 (+.f64 #s(literal 1 binary64) t) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))))))) #s(literal 4 binary64)) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 8 binary64) (/.f64 (*.f64 #s(literal 64 binary64) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (*.f64 (+.f64 #s(literal 1 binary64) t) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))))))) (*.f64 (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (+.f64 (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal -2 binary64)))))
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(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (*.f64 t t) #s(literal 1 binary64))) (*.f64 (fma.f64 t (+.f64 t #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) t)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 t t))) (*.f64 (-.f64 #s(literal 1 binary64) t) (*.f64 #s(literal 2 binary64) t)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (fma.f64 t (*.f64 t t) #s(literal 1 binary64))) (fma.f64 t (+.f64 t #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (fma.f64 t (*.f64 t t) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 t (+.f64 t #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (fma.f64 t (*.f64 t t) #s(literal 1 binary64))) (*.f64 (fma.f64 t (+.f64 t #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (-.f64 #s(literal 1 binary64) (*.f64 t t))) (-.f64 #s(literal 1 binary64) t))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (-.f64 #s(literal 1 binary64) (*.f64 t t))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) t))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (-.f64 #s(literal 1 binary64) (*.f64 t t))) (*.f64 (-.f64 #s(literal 1 binary64) t) #s(literal 1 binary64)))
(*.f64 (/.f64 t (fma.f64 t (*.f64 t t) #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 t (+.f64 t #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 t (fma.f64 t (*.f64 t t) #s(literal 1 binary64))) (*.f64 (fma.f64 t (+.f64 t #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 t (-.f64 #s(literal 1 binary64) (*.f64 t t))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) t))))
(*.f64 (/.f64 t (-.f64 #s(literal 1 binary64) (*.f64 t t))) (*.f64 (-.f64 #s(literal 1 binary64) t) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 t (+.f64 #s(literal 1 binary64) t)) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 t #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) t) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) t) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 t #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (fma.f64 t (*.f64 t t) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 t (+.f64 t #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (-.f64 #s(literal 1 binary64) (*.f64 t t))) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) t) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 t (*.f64 t t) #s(literal 1 binary64))) (/.f64 t (/.f64 #s(literal 1 binary64) (fma.f64 t (+.f64 t #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (*.f64 t t))) (/.f64 t (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) t))))
(*.f64 (/.f64 t #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (+.f64 #s(literal 1 binary64) t)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) t) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) t) (*.f64 #s(literal 2 binary64) t)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) t) (*.f64 #s(literal 2 binary64) t)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) t) (fma.f64 t (*.f64 t t) #s(literal 1 binary64)))) (fma.f64 t (+.f64 t #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) t) (-.f64 #s(literal 1 binary64) (*.f64 t t)))) (-.f64 #s(literal 1 binary64) t))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal 2 binary64)) t)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) t)) t) #s(literal 2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 t (fma.f64 t (*.f64 t t) #s(literal 1 binary64)))) (fma.f64 t (+.f64 t #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 t (-.f64 #s(literal 1 binary64) (*.f64 t t)))) (-.f64 #s(literal 1 binary64) t))

simplify433.0ms (6.5%)

Memory
-18.2MiB live, 741.1MiB allocated
Algorithm
egg-herbie
Rules
12 962×accelerator-lowering-fma.f32
12 962×accelerator-lowering-fma.f64
2 758×+-lowering-+.f64
2 758×+-lowering-+.f32
2 576×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125452
1375452
2861420
31938406
45030400
57831400
08145379
Stop Event
iter limit
node limit
Counts
60 → 60
Calls
Call 1
Inputs
1/2
(+ 1/2 (pow t 2))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))
(* 4 (pow t 2))
(* (pow t 2) (+ 4 (* -8 t)))
(* (pow t 2) (+ 4 (* t (- (* 12 t) 8))))
(* (pow t 2) (+ 4 (* t (- (* t (+ 12 (* -16 t))) 8))))
4
(- 4 (* 8 (/ 1 t)))
(- (+ 4 (/ 12 (pow t 2))) (* 8 (/ 1 t)))
(- (+ 4 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))))
4
(- 4 (* 8 (/ 1 t)))
(+ 4 (* -1 (/ (- 8 (* 12 (/ 1 t))) t)))
(+ 4 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t)))
1
(+ 1 (* 4 (pow t 2)))
(+ 1 (* (pow t 2) (+ 4 (* -8 t))))
(+ 1 (* (pow t 2) (+ 4 (* t (- (* 12 t) 8)))))
5
(- 5 (* 8 (/ 1 t)))
(- (+ 5 (/ 12 (pow t 2))) (* 8 (/ 1 t)))
(- (+ 5 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))))
5
(- 5 (* 8 (/ 1 t)))
(+ 5 (* -1 (/ (- 8 (* 12 (/ 1 t))) t)))
(+ 5 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t)))
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
(* 2 t)
(* t (+ 2 (* -2 t)))
(* t (+ 2 (* t (- (* 2 t) 2))))
(* t (+ 2 (* t (- (* t (+ 2 (* -2 t))) 2))))
2
(- 2 (* 2 (/ 1 t)))
(- (+ 2 (/ 2 (pow t 2))) (* 2 (/ 1 t)))
(- (+ 2 (/ 2 (pow t 2))) (+ (* 2 (/ 1 t)) (* 2 (/ 1 (pow t 3)))))
2
(- 2 (* 2 (/ 1 t)))
(+ 2 (* -1 (/ (- 2 (* 2 (/ 1 t))) t)))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 t))) t))) t)))
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (pow t 2))
(fma.f64 t t #s(literal 1/2 binary64))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(fma.f64 (*.f64 t t) (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))
(fma.f64 t (*.f64 t (fma.f64 t (+.f64 t #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
5/6
#s(literal 5/6 binary64)
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t))
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t))
5/6
#s(literal 5/6 binary64)
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t))
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t))
(* 4 (pow t 2))
(*.f64 (*.f64 t t) #s(literal 4 binary64))
(* (pow t 2) (+ 4 (* -8 t)))
(*.f64 (*.f64 t t) (fma.f64 t #s(literal -8 binary64) #s(literal 4 binary64)))
(* (pow t 2) (+ 4 (* t (- (* 12 t) 8))))
(*.f64 (*.f64 t t) (fma.f64 t (fma.f64 t #s(literal 12 binary64) #s(literal -8 binary64)) #s(literal 4 binary64)))
(* (pow t 2) (+ 4 (* t (- (* t (+ 12 (* -16 t))) 8))))
(*.f64 (*.f64 t t) (fma.f64 t (fma.f64 t (fma.f64 t #s(literal -16 binary64) #s(literal 12 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64)))
4
#s(literal 4 binary64)
(- 4 (* 8 (/ 1 t)))
(+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) t))
(- (+ 4 (/ 12 (pow t 2))) (* 8 (/ 1 t)))
(+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 12 binary64) t)) t))
(- (+ 4 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))))
(+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal -16 binary64) t)) t)) t))
4
#s(literal 4 binary64)
(- 4 (* 8 (/ 1 t)))
(+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) t))
(+ 4 (* -1 (/ (- 8 (* 12 (/ 1 t))) t)))
(+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 12 binary64) t)) t))
(+ 4 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t)))
(+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal -16 binary64) t)) t)) t))
1
#s(literal 1 binary64)
(+ 1 (* 4 (pow t 2)))
(fma.f64 t (*.f64 t #s(literal 4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 4 (* -8 t))))
(fma.f64 (*.f64 t t) (fma.f64 t #s(literal -8 binary64) #s(literal 4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 4 (* t (- (* 12 t) 8)))))
(fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t #s(literal 12 binary64) #s(literal -8 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))
5
#s(literal 5 binary64)
(- 5 (* 8 (/ 1 t)))
(+.f64 #s(literal 5 binary64) (/.f64 #s(literal -8 binary64) t))
(- (+ 5 (/ 12 (pow t 2))) (* 8 (/ 1 t)))
(+.f64 #s(literal 5 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 12 binary64) t)) t))
(- (+ 5 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))))
(+.f64 #s(literal 5 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal -16 binary64) t)) t)) t))
5
#s(literal 5 binary64)
(- 5 (* 8 (/ 1 t)))
(+.f64 #s(literal 5 binary64) (/.f64 #s(literal -8 binary64) t))
(+ 5 (* -1 (/ (- 8 (* 12 (/ 1 t))) t)))
(+.f64 #s(literal 5 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 12 binary64) t)) t))
(+ 5 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t)))
(+.f64 #s(literal 5 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal -16 binary64) t)) t)) t))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* 2 t)
(*.f64 t #s(literal 2 binary64))
(* t (+ 2 (* -2 t)))
(*.f64 t (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)))
(* t (+ 2 (* t (- (* 2 t) 2))))
(*.f64 t (fma.f64 t (fma.f64 t #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 2 binary64)))
(* t (+ 2 (* t (- (* t (+ 2 (* -2 t))) 2))))
(*.f64 (fma.f64 t #s(literal -2 binary64) #s(literal 2 binary64)) (*.f64 t (fma.f64 t t #s(literal 1 binary64))))
2
#s(literal 2 binary64)
(- 2 (* 2 (/ 1 t)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) t))
(- (+ 2 (/ 2 (pow t 2))) (* 2 (/ 1 t)))
(+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) t)) t))
(- (+ 2 (/ 2 (pow t 2))) (+ (* 2 (/ 1 t)) (* 2 (/ 1 (pow t 3)))))
(fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) t)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t))) #s(literal 0 binary64))
2
#s(literal 2 binary64)
(- 2 (* 2 (/ 1 t)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) t))
(+ 2 (* -1 (/ (- 2 (* 2 (/ 1 t))) t)))
(+.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) t)) t))
(+ 2 (* -1 (/ (+ 2 (* -1 (/ (- 2 (* 2 (/ 1 t))) t))) t)))
(fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) t)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t))) #s(literal 0 binary64))

eval143.0ms (2.1%)

Memory
28.1MiB live, 330.0MiB allocated
Compiler

Compiled 47 532 to 2 732 computations (94.3% saved)

prune140.0ms (2.1%)

Memory
-13.1MiB live, 318.0MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1 039111 050
Fresh000
Picked101
Done000
Total1 040111 051
Accuracy
100.0%
Counts
1 051 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.9%
(fma.f64 (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))))))
52.7%
(fma.f64 (*.f64 t t) (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
53.4%
(fma.f64 t (*.f64 t (fma.f64 t (+.f64 t #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
53.4%
(fma.f64 t t #s(literal 1/2 binary64))
49.5%
(/.f64 (+.f64 #s(literal 5 binary64) (/.f64 #s(literal -8 binary64) t)) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) t)))))
74.2%
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))))
74.2%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))))))
50.3%
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t))
49.6%
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
57.8%
#s(literal 5/6 binary64)
60.8%
#s(literal 1/2 binary64)
Compiler

Compiled 372 to 170 computations (54.3% saved)

simplify422.0ms (6.3%)

Memory
31.8MiB live, 806.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -1/27 binary64) t)
cost-diff0
(+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t))
cost-diff0
(/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t)
cost-diff0
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t))
cost-diff-64
(*.f64 t t)
cost-diff0
(fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64))
cost-diff0
(fma.f64 (*.f64 t t) (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
cost-diff0
(fma.f64 t t #s(literal 1/2 binary64))
cost-diff128
(*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))
cost-diff192
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))))
cost-diff192
(+.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))))))
Rules
15 300×accelerator-lowering-fma.f32
15 300×accelerator-lowering-fma.f64
2 920×+-lowering-+.f64
2 920×+-lowering-+.f32
2 800×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028188
167188
2155186
3392186
4896186
51306186
61710186
73145186
84989186
96252186
08143168
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ 1 (/ (+ 2 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t)))) (+ 1 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t))))))
1
(/ (+ 2 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t)))) (+ 1 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t)))))
(+ 2 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t))))
2
(/ (* t (* t 4)) (* (+ 1 t) (+ 1 t)))
(* t (* t 4))
t
(* t 4)
4
(* (+ 1 t) (+ 1 t))
(+ 1 t)
(+ 1 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t))))
1/2
(+ (* t t) 1/2)
t
1/2
(+ (* (* t t) (+ (* t -2) 1)) 1/2)
(* t t)
t
(+ (* t -2) 1)
-2
1
1/2
(- 5/6 (/ (+ 2/9 (/ -1/27 t)) t))
5/6
(/ (+ 2/9 (/ -1/27 t)) t)
(+ 2/9 (/ -1/27 t))
2/9
(/ -1/27 t)
-1/27
t
Outputs
(/ 1 (/ (+ 2 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t)))) (+ 1 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t))))))
(/.f64 (fma.f64 t (/.f64 (fma.f64 t #s(literal 4 binary64) #s(literal 0 binary64)) (fma.f64 t (+.f64 #s(literal 2 binary64) t) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 t (/.f64 (fma.f64 t #s(literal 4 binary64) #s(literal 0 binary64)) (fma.f64 t (+.f64 #s(literal 2 binary64) t) #s(literal 1 binary64))) #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(/ (+ 2 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t)))) (+ 1 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t)))))
(/.f64 (fma.f64 t (/.f64 (fma.f64 t #s(literal 4 binary64) #s(literal 0 binary64)) (fma.f64 t (+.f64 #s(literal 2 binary64) t) #s(literal 1 binary64))) #s(literal 2 binary64)) (fma.f64 t (/.f64 (fma.f64 t #s(literal 4 binary64) #s(literal 0 binary64)) (fma.f64 t (+.f64 #s(literal 2 binary64) t) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+ 2 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t))))
(fma.f64 t (/.f64 (fma.f64 t #s(literal 4 binary64) #s(literal 0 binary64)) (fma.f64 t (+.f64 #s(literal 2 binary64) t) #s(literal 1 binary64))) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (* t (* t 4)) (* (+ 1 t) (+ 1 t)))
(fma.f64 t (/.f64 (fma.f64 t #s(literal 4 binary64) #s(literal 0 binary64)) (fma.f64 t (+.f64 #s(literal 2 binary64) t) #s(literal 1 binary64))) #s(literal 0 binary64))
(* t (* t 4))
(fma.f64 #s(literal 4 binary64) (fma.f64 t t #s(literal 0 binary64)) #s(literal 0 binary64))
t
(* t 4)
(fma.f64 t #s(literal 4 binary64) #s(literal 0 binary64))
4
#s(literal 4 binary64)
(* (+ 1 t) (+ 1 t))
(fma.f64 t (+.f64 #s(literal 2 binary64) t) #s(literal 1 binary64))
(+ 1 t)
(+.f64 #s(literal 1 binary64) t)
(+ 1 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t))))
(fma.f64 t (/.f64 (fma.f64 t #s(literal 4 binary64) #s(literal 0 binary64)) (fma.f64 t (+.f64 #s(literal 2 binary64) t) #s(literal 1 binary64))) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ (* t t) 1/2)
(fma.f64 t t #s(literal 1/2 binary64))
t
1/2
#s(literal 1/2 binary64)
(+ (* (* t t) (+ (* t -2) 1)) 1/2)
(fma.f64 (fma.f64 t t #s(literal 0 binary64)) (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(* t t)
(fma.f64 t t #s(literal 0 binary64))
t
(+ (* t -2) 1)
(fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64))
-2
#s(literal -2 binary64)
1
#s(literal 1 binary64)
1/2
#s(literal 1/2 binary64)
(- 5/6 (/ (+ 2/9 (/ -1/27 t)) t))
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal -2/9 binary64) (/.f64 #s(literal 1/27 binary64) t)) t))
5/6
#s(literal 5/6 binary64)
(/ (+ 2/9 (/ -1/27 t)) t)
(/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t)
(+ 2/9 (/ -1/27 t))
(+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t))
2/9
#s(literal 2/9 binary64)
(/ -1/27 t)
(/.f64 #s(literal -1/27 binary64) t)
-1/27
#s(literal -1/27 binary64)
t

localize92.0ms (1.4%)

Memory
23.4MiB live, 253.2MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t))
accuracy100.0%
(+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t))
accuracy99.6%
(/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t)) t)
accuracy99.5%
(/.f64 #s(literal -1/27 binary64) t)
accuracy100.0%
(fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64))
accuracy100.0%
(*.f64 t t)
accuracy99.9%
(fma.f64 (*.f64 t t) (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
accuracy100.0%
(fma.f64 t t #s(literal 1/2 binary64))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))))))
accuracy100.0%
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))))
accuracy100.0%
(*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))
accuracy75.0%
(/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))
Samples
55.0ms256×0valid
Compiler

Compiled 186 to 30 computations (83.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 12.0ms (30.7% of total)
ival-div: 9.0ms (23% of total)
const: 9.0ms (23% of total)
ival-add: 8.0ms (20.4% of total)
ival-sub: 1.0ms (2.6% of total)
exact: 1.0ms (2.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series28.0ms (0.4%)

Memory
-24.1MiB live, 13.0MiB allocated
Counts
14 → 168
Calls
Call 1
Inputs
#<alt (/ 1 (/ (+ 2 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t)))) (+ 1 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t))))))>
#<alt (+ 2 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t))))>
#<alt (+ 1 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t))))>
#<alt (* (+ 1 t) (+ 1 t))>
#<alt (+ (* t t) 1/2)>
#<alt (+ (* (* t t) (+ (* t -2) 1)) 1/2)>
#<alt (+ (* t -2) 1)>
#<alt (* t t)>
#<alt (- 5/6 (/ (+ 2/9 (/ -1/27 t)) t))>
#<alt (/ (+ 2/9 (/ -1/27 t)) t)>
#<alt (+ 2/9 (/ -1/27 t))>
#<alt (/ -1/27 t)>
#<alt (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t)))>
#<alt (/ (+ 2 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t)))) (+ 1 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t)))))>
Outputs
#<alt 1/2>
#<alt (+ 1/2 (pow t 2))>
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))>
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))>
#<alt 5/6>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))>
#<alt (- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))>
#<alt 5/6>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))>
#<alt (+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))>
#<alt 2>
#<alt (+ 2 (* 4 (pow t 2)))>
#<alt (+ 2 (* (pow t 2) (+ 4 (* -8 t))))>
#<alt (+ 2 (* (pow t 2) (+ 4 (* t (- (* 12 t) 8)))))>
#<alt 6>
#<alt (- 6 (* 8 (/ 1 t)))>
#<alt (- (+ 6 (/ 12 (pow t 2))) (* 8 (/ 1 t)))>
#<alt (- (+ 6 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))))>
#<alt 6>
#<alt (- 6 (* 8 (/ 1 t)))>
#<alt (+ 6 (* -1 (/ (- 8 (* 12 (/ 1 t))) t)))>
#<alt (+ 6 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t)))>
#<alt 1>
#<alt (+ 1 (* 4 (pow t 2)))>
#<alt (+ 1 (* (pow t 2) (+ 4 (* -8 t))))>
#<alt (+ 1 (* (pow t 2) (+ 4 (* t (- (* 12 t) 8)))))>
#<alt 5>
#<alt (- 5 (* 8 (/ 1 t)))>
#<alt (- (+ 5 (/ 12 (pow t 2))) (* 8 (/ 1 t)))>
#<alt (- (+ 5 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))))>
#<alt 5>
#<alt (- 5 (* 8 (/ 1 t)))>
#<alt (+ 5 (* -1 (/ (- 8 (* 12 (/ 1 t))) t)))>
#<alt (+ 5 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t)))>
#<alt 1>
#<alt (+ 1 (* 2 t))>
#<alt (+ 1 (* t (+ 2 t)))>
#<alt (+ 1 (* t (+ 2 t)))>
#<alt (pow t 2)>
#<alt (* (pow t 2) (+ 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 2) (+ 1 (+ (* 2 (/ 1 t)) (/ 1 (pow t 2)))))>
#<alt (* (pow t 2) (+ 1 (+ (* 2 (/ 1 t)) (/ 1 (pow t 2)))))>
#<alt (pow t 2)>
#<alt (* (pow t 2) (+ 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 2) (+ 1 (+ (* 2 (/ 1 t)) (/ 1 (pow t 2)))))>
#<alt (* (pow t 2) (+ 1 (+ (* 2 (/ 1 t)) (/ 1 (pow t 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (pow t 2))>
#<alt (+ 1/2 (pow t 2))>
#<alt (+ 1/2 (pow t 2))>
#<alt (pow t 2)>
#<alt (* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (pow t 2)>
#<alt (* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))>
#<alt 1/2>
#<alt (+ 1/2 (pow t 2))>
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))>
#<alt (+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))>
#<alt (* -2 (pow t 3))>
#<alt (* (pow t 3) (- (/ 1 t) 2))>
#<alt (* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (/ 1 t)) 2))>
#<alt (* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (/ 1 t)) 2))>
#<alt (* -2 (pow t 3))>
#<alt (* -1 (* (pow t 3) (- 2 (/ 1 t))))>
#<alt (* -1 (* (pow t 3) (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t)))))>
#<alt (* -1 (* (pow t 3) (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t)))))>
#<alt 1>
#<alt (+ 1 (* -2 t))>
#<alt (+ 1 (* -2 t))>
#<alt (+ 1 (* -2 t))>
#<alt (* -2 t)>
#<alt (* t (- (/ 1 t) 2))>
#<alt (* t (- (/ 1 t) 2))>
#<alt (* t (- (/ 1 t) 2))>
#<alt (* -2 t)>
#<alt (* -1 (* t (- 2 (/ 1 t))))>
#<alt (* -1 (* t (- 2 (/ 1 t))))>
#<alt (* -1 (* t (- 2 (/ 1 t))))>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (pow t 2)>
#<alt (/ 1/27 (pow t 2))>
#<alt (/ (+ 1/27 (* -2/9 t)) (pow t 2))>
#<alt (/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2))>
#<alt (/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2))>
#<alt 5/6>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))>
#<alt (- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))>
#<alt 5/6>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))>
#<alt (+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))>
#<alt (/ -1/27 (pow t 2))>
#<alt (/ (- (* 2/9 t) 1/27) (pow t 2))>
#<alt (/ (- (* 2/9 t) 1/27) (pow t 2))>
#<alt (/ (- (* 2/9 t) 1/27) (pow t 2))>
#<alt (/ 2/9 t)>
#<alt (/ (- 2/9 (* 1/27 (/ 1 t))) t)>
#<alt (/ (- 2/9 (* 1/27 (/ 1 t))) t)>
#<alt (/ (- 2/9 (* 1/27 (/ 1 t))) t)>
#<alt (/ 2/9 t)>
#<alt (* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t))>
#<alt (* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t))>
#<alt (* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t))>
#<alt (/ -1/27 t)>
#<alt (/ (- (* 2/9 t) 1/27) t)>
#<alt (/ (- (* 2/9 t) 1/27) t)>
#<alt (/ (- (* 2/9 t) 1/27) t)>
#<alt 2/9>
#<alt (- 2/9 (* 1/27 (/ 1 t)))>
#<alt (- 2/9 (* 1/27 (/ 1 t)))>
#<alt (- 2/9 (* 1/27 (/ 1 t)))>
#<alt 2/9>
#<alt (- 2/9 (* 1/27 (/ 1 t)))>
#<alt (- 2/9 (* 1/27 (/ 1 t)))>
#<alt (- 2/9 (* 1/27 (/ 1 t)))>
#<alt (/ -1/27 t)>
#<alt (/ -1/27 t)>
#<alt (/ -1/27 t)>
#<alt (/ -1/27 t)>
#<alt (/ -1/27 t)>
#<alt (/ -1/27 t)>
#<alt (/ -1/27 t)>
#<alt (/ -1/27 t)>
#<alt (/ -1/27 t)>
#<alt (/ -1/27 t)>
#<alt (/ -1/27 t)>
#<alt (/ -1/27 t)>
#<alt (* 4 (pow t 2))>
#<alt (* (pow t 2) (+ 4 (* -8 t)))>
#<alt (* (pow t 2) (+ 4 (* t (- (* 12 t) 8))))>
#<alt (* (pow t 2) (+ 4 (* t (- (* t (+ 12 (* -16 t))) 8))))>
#<alt 4>
#<alt (- 4 (* 8 (/ 1 t)))>
#<alt (- (+ 4 (/ 12 (pow t 2))) (* 8 (/ 1 t)))>
#<alt (- (+ 4 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))))>
#<alt 4>
#<alt (- 4 (* 8 (/ 1 t)))>
#<alt (+ 4 (* -1 (/ (- 8 (* 12 (/ 1 t))) t)))>
#<alt (+ 4 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t)))>
#<alt 2>
#<alt (+ 2 (* -4 (pow t 2)))>
#<alt (+ 2 (* (pow t 2) (- (* 8 t) 4)))>
#<alt (+ 2 (* (pow t 2) (- (* t (+ 8 (* 4 t))) 4)))>
#<alt 6/5>
#<alt (+ 6/5 (* 8/25 (/ 1 t)))>
#<alt (+ 6/5 (+ (/ 4/125 (pow t 2)) (* 8/25 (/ 1 t))))>
#<alt (- (+ 6/5 (+ (/ 4/125 (pow t 2)) (* 8/25 (/ 1 t)))) (* 48/625 (/ 1 (pow t 3))))>
#<alt 6/5>
#<alt (+ 6/5 (* 8/25 (/ 1 t)))>
#<alt (+ 6/5 (+ (/ 4/125 (pow t 2)) (* 8/25 (/ 1 t))))>
#<alt (+ 6/5 (* -1 (/ (- (* -1 (/ (- 4/125 (* 48/625 (/ 1 t))) t)) 8/25) t)))>
Calls

42 calls:

TimeVariablePointExpression
1.0ms
t
@-inf
(/ (+ 2/9 (/ -1/27 t)) t)
0.0ms
t
@0
(/ (+ 2/9 (/ -1/27 t)) t)
0.0ms
t
@0
(/ -1/27 t)
0.0ms
t
@0
(- 5/6 (/ (+ 2/9 (/ -1/27 t)) t))
0.0ms
t
@inf
(+ (* (* t t) (+ (* t -2) 1)) 1/2)

rewrite416.0ms (6.2%)

Memory
21.8MiB live, 804.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 620×/-lowering-/.f32
4 620×/-lowering-/.f64
4 462×*-lowering-*.f32
4 462×*-lowering-*.f64
3 072×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028146
1199144
21785144
08219134
Stop Event
iter limit
node limit
Counts
14 → 580
Calls
Call 1
Inputs
(/ 1 (/ (+ 2 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t)))) (+ 1 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t))))))
(+ 2 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t))))
(+ 1 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t))))
(* (+ 1 t) (+ 1 t))
(+ (* t t) 1/2)
(+ (* (* t t) (+ (* t -2) 1)) 1/2)
(+ (* t -2) 1)
(* t t)
(- 5/6 (/ (+ 2/9 (/ -1/27 t)) t))
(/ (+ 2/9 (/ -1/27 t)) t)
(+ 2/9 (/ -1/27 t))
(/ -1/27 t)
(/ (* t (* t 4)) (* (+ 1 t) (+ 1 t)))
(/ (+ 2 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t)))) (+ 1 (/ (* t (* t 4)) (* (+ 1 t) (+ 1 t)))))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 t t)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 t t)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 t t)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 t t)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64)) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 t t)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64)))))
(fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 t t)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64))))
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(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64)) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64))))
(*.f64 (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64))))
(*.f64 (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64)) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64)) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64))) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) #s(literal 64 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))))))) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 t t)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 t t)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 t t)) (*.f64 #s(literal 4 binary64) (*.f64 t t))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 t t)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64)) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64)) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) #s(literal 64 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))))) #s(literal 8 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 t t)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 t t)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64)) #s(literal 4 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64)) (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 t t)) (*.f64 #s(literal 4 binary64) (*.f64 t t))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 t t)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))))))

simplify721.0ms (10.8%)

Memory
56.6MiB live, 942.1MiB allocated
Algorithm
egg-herbie
Rules
15 156×accelerator-lowering-fma.f32
15 156×accelerator-lowering-fma.f64
3 612×+-lowering-+.f64
3 612×+-lowering-+.f32
3 596×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01951118
15441102
213751030
334981014
476251014
08261940
Stop Event
iter limit
node limit
Counts
168 → 168
Calls
Call 1
Inputs
1/2
(+ 1/2 (pow t 2))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))
2
(+ 2 (* 4 (pow t 2)))
(+ 2 (* (pow t 2) (+ 4 (* -8 t))))
(+ 2 (* (pow t 2) (+ 4 (* t (- (* 12 t) 8)))))
6
(- 6 (* 8 (/ 1 t)))
(- (+ 6 (/ 12 (pow t 2))) (* 8 (/ 1 t)))
(- (+ 6 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))))
6
(- 6 (* 8 (/ 1 t)))
(+ 6 (* -1 (/ (- 8 (* 12 (/ 1 t))) t)))
(+ 6 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t)))
1
(+ 1 (* 4 (pow t 2)))
(+ 1 (* (pow t 2) (+ 4 (* -8 t))))
(+ 1 (* (pow t 2) (+ 4 (* t (- (* 12 t) 8)))))
5
(- 5 (* 8 (/ 1 t)))
(- (+ 5 (/ 12 (pow t 2))) (* 8 (/ 1 t)))
(- (+ 5 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))))
5
(- 5 (* 8 (/ 1 t)))
(+ 5 (* -1 (/ (- 8 (* 12 (/ 1 t))) t)))
(+ 5 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t)))
1
(+ 1 (* 2 t))
(+ 1 (* t (+ 2 t)))
(+ 1 (* t (+ 2 t)))
(pow t 2)
(* (pow t 2) (+ 1 (* 2 (/ 1 t))))
(* (pow t 2) (+ 1 (+ (* 2 (/ 1 t)) (/ 1 (pow t 2)))))
(* (pow t 2) (+ 1 (+ (* 2 (/ 1 t)) (/ 1 (pow t 2)))))
(pow t 2)
(* (pow t 2) (+ 1 (* 2 (/ 1 t))))
(* (pow t 2) (+ 1 (+ (* 2 (/ 1 t)) (/ 1 (pow t 2)))))
(* (pow t 2) (+ 1 (+ (* 2 (/ 1 t)) (/ 1 (pow t 2)))))
1/2
(+ 1/2 (pow t 2))
(+ 1/2 (pow t 2))
(+ 1/2 (pow t 2))
(pow t 2)
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(pow t 2)
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
1/2
(+ 1/2 (pow t 2))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(* -2 (pow t 3))
(* (pow t 3) (- (/ 1 t) 2))
(* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (/ 1 t)) 2))
(* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (/ 1 t)) 2))
(* -2 (pow t 3))
(* -1 (* (pow t 3) (- 2 (/ 1 t))))
(* -1 (* (pow t 3) (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t)))))
(* -1 (* (pow t 3) (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t)))))
1
(+ 1 (* -2 t))
(+ 1 (* -2 t))
(+ 1 (* -2 t))
(* -2 t)
(* t (- (/ 1 t) 2))
(* t (- (/ 1 t) 2))
(* t (- (/ 1 t) 2))
(* -2 t)
(* -1 (* t (- 2 (/ 1 t))))
(* -1 (* t (- 2 (/ 1 t))))
(* -1 (* t (- 2 (/ 1 t))))
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(pow t 2)
(/ 1/27 (pow t 2))
(/ (+ 1/27 (* -2/9 t)) (pow t 2))
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2))
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(/ -1/27 (pow t 2))
(/ (- (* 2/9 t) 1/27) (pow t 2))
(/ (- (* 2/9 t) 1/27) (pow t 2))
(/ (- (* 2/9 t) 1/27) (pow t 2))
(/ 2/9 t)
(/ (- 2/9 (* 1/27 (/ 1 t))) t)
(/ (- 2/9 (* 1/27 (/ 1 t))) t)
(/ (- 2/9 (* 1/27 (/ 1 t))) t)
(/ 2/9 t)
(* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t))
(* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t))
(* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t))
(/ -1/27 t)
(/ (- (* 2/9 t) 1/27) t)
(/ (- (* 2/9 t) 1/27) t)
(/ (- (* 2/9 t) 1/27) t)
2/9
(- 2/9 (* 1/27 (/ 1 t)))
(- 2/9 (* 1/27 (/ 1 t)))
(- 2/9 (* 1/27 (/ 1 t)))
2/9
(- 2/9 (* 1/27 (/ 1 t)))
(- 2/9 (* 1/27 (/ 1 t)))
(- 2/9 (* 1/27 (/ 1 t)))
(/ -1/27 t)
(/ -1/27 t)
(/ -1/27 t)
(/ -1/27 t)
(/ -1/27 t)
(/ -1/27 t)
(/ -1/27 t)
(/ -1/27 t)
(/ -1/27 t)
(/ -1/27 t)
(/ -1/27 t)
(/ -1/27 t)
(* 4 (pow t 2))
(* (pow t 2) (+ 4 (* -8 t)))
(* (pow t 2) (+ 4 (* t (- (* 12 t) 8))))
(* (pow t 2) (+ 4 (* t (- (* t (+ 12 (* -16 t))) 8))))
4
(- 4 (* 8 (/ 1 t)))
(- (+ 4 (/ 12 (pow t 2))) (* 8 (/ 1 t)))
(- (+ 4 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))))
4
(- 4 (* 8 (/ 1 t)))
(+ 4 (* -1 (/ (- 8 (* 12 (/ 1 t))) t)))
(+ 4 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t)))
2
(+ 2 (* -4 (pow t 2)))
(+ 2 (* (pow t 2) (- (* 8 t) 4)))
(+ 2 (* (pow t 2) (- (* t (+ 8 (* 4 t))) 4)))
6/5
(+ 6/5 (* 8/25 (/ 1 t)))
(+ 6/5 (+ (/ 4/125 (pow t 2)) (* 8/25 (/ 1 t))))
(- (+ 6/5 (+ (/ 4/125 (pow t 2)) (* 8/25 (/ 1 t)))) (* 48/625 (/ 1 (pow t 3))))
6/5
(+ 6/5 (* 8/25 (/ 1 t)))
(+ 6/5 (+ (/ 4/125 (pow t 2)) (* 8/25 (/ 1 t))))
(+ 6/5 (* -1 (/ (- (* -1 (/ (- 4/125 (* 48/625 (/ 1 t))) t)) 8/25) t)))
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (pow t 2))
(fma.f64 t t #s(literal 1/2 binary64))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(fma.f64 t (*.f64 t (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))
(fma.f64 t (*.f64 t (fma.f64 t (+.f64 t #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
5/6
#s(literal 5/6 binary64)
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(-.f64 #s(literal 5/6 binary64) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)))
(- (+ 5/6 (+ (/ 1/27 (pow t 2)) (* 4/81 (/ 1 (pow t 3))))) (* 2/9 (/ 1 t)))
(-.f64 (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) (/.f64 (+.f64 #s(literal -1/27 binary64) (/.f64 #s(literal -4/81 binary64) t)) (*.f64 t t)))
5/6
#s(literal 5/6 binary64)
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(-.f64 #s(literal 5/6 binary64) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)))
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (+ 1/27 (* 4/81 (/ 1 t))) t))) t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t)) t) #s(literal -2/9 binary64)) t))
2
#s(literal 2 binary64)
(+ 2 (* 4 (pow t 2)))
(fma.f64 (*.f64 t t) #s(literal 4 binary64) #s(literal 2 binary64))
(+ 2 (* (pow t 2) (+ 4 (* -8 t))))
(fma.f64 (*.f64 t t) (fma.f64 t #s(literal -8 binary64) #s(literal 4 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow t 2) (+ 4 (* t (- (* 12 t) 8)))))
(fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t #s(literal 12 binary64) #s(literal -8 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))
6
#s(literal 6 binary64)
(- 6 (* 8 (/ 1 t)))
(+.f64 #s(literal 6 binary64) (/.f64 #s(literal -8 binary64) t))
(- (+ 6 (/ 12 (pow t 2))) (* 8 (/ 1 t)))
(+.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 12 binary64) t)) t))
(- (+ 6 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))))
(+.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal -16 binary64) t)) t)) t))
6
#s(literal 6 binary64)
(- 6 (* 8 (/ 1 t)))
(+.f64 #s(literal 6 binary64) (/.f64 #s(literal -8 binary64) t))
(+ 6 (* -1 (/ (- 8 (* 12 (/ 1 t))) t)))
(+.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 12 binary64) t)) t))
(+ 6 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t)))
(+.f64 #s(literal 6 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal -16 binary64) t)) t)) t))
1
#s(literal 1 binary64)
(+ 1 (* 4 (pow t 2)))
(fma.f64 t (*.f64 t #s(literal 4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 4 (* -8 t))))
(fma.f64 (*.f64 t t) (fma.f64 t #s(literal -8 binary64) #s(literal 4 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow t 2) (+ 4 (* t (- (* 12 t) 8)))))
(fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t #s(literal 12 binary64) #s(literal -8 binary64)) #s(literal 4 binary64)) #s(literal 1 binary64))
5
#s(literal 5 binary64)
(- 5 (* 8 (/ 1 t)))
(+.f64 #s(literal 5 binary64) (/.f64 #s(literal -8 binary64) t))
(- (+ 5 (/ 12 (pow t 2))) (* 8 (/ 1 t)))
(+.f64 #s(literal 5 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 12 binary64) t)) t))
(- (+ 5 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))))
(+.f64 #s(literal 5 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal -16 binary64) t)) t)) t))
5
#s(literal 5 binary64)
(- 5 (* 8 (/ 1 t)))
(+.f64 #s(literal 5 binary64) (/.f64 #s(literal -8 binary64) t))
(+ 5 (* -1 (/ (- 8 (* 12 (/ 1 t))) t)))
(+.f64 #s(literal 5 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 12 binary64) t)) t))
(+ 5 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t)))
(+.f64 #s(literal 5 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal -16 binary64) t)) t)) t))
1
#s(literal 1 binary64)
(+ 1 (* 2 t))
(fma.f64 t #s(literal 2 binary64) #s(literal 1 binary64))
(+ 1 (* t (+ 2 t)))
(fma.f64 t (+.f64 t #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* t (+ 2 t)))
(fma.f64 t (+.f64 t #s(literal 2 binary64)) #s(literal 1 binary64))
(pow t 2)
(*.f64 t t)
(* (pow t 2) (+ 1 (* 2 (/ 1 t))))
(*.f64 t (+.f64 t #s(literal 2 binary64)))
(* (pow t 2) (+ 1 (+ (* 2 (/ 1 t)) (/ 1 (pow t 2)))))
(fma.f64 t (+.f64 t #s(literal 2 binary64)) #s(literal 1 binary64))
(* (pow t 2) (+ 1 (+ (* 2 (/ 1 t)) (/ 1 (pow t 2)))))
(fma.f64 t (+.f64 t #s(literal 2 binary64)) #s(literal 1 binary64))
(pow t 2)
(*.f64 t t)
(* (pow t 2) (+ 1 (* 2 (/ 1 t))))
(*.f64 t (+.f64 t #s(literal 2 binary64)))
(* (pow t 2) (+ 1 (+ (* 2 (/ 1 t)) (/ 1 (pow t 2)))))
(fma.f64 t (+.f64 t #s(literal 2 binary64)) #s(literal 1 binary64))
(* (pow t 2) (+ 1 (+ (* 2 (/ 1 t)) (/ 1 (pow t 2)))))
(fma.f64 t (+.f64 t #s(literal 2 binary64)) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (pow t 2))
(fma.f64 t t #s(literal 1/2 binary64))
(+ 1/2 (pow t 2))
(fma.f64 t t #s(literal 1/2 binary64))
(+ 1/2 (pow t 2))
(fma.f64 t t #s(literal 1/2 binary64))
(pow t 2)
(*.f64 t t)
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(fma.f64 t t #s(literal 1/2 binary64))
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(fma.f64 t t #s(literal 1/2 binary64))
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(fma.f64 t t #s(literal 1/2 binary64))
(pow t 2)
(*.f64 t t)
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(fma.f64 t t #s(literal 1/2 binary64))
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(fma.f64 t t #s(literal 1/2 binary64))
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(fma.f64 t t #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (pow t 2))
(fma.f64 t t #s(literal 1/2 binary64))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(fma.f64 t (*.f64 t (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(fma.f64 t (*.f64 t (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(* -2 (pow t 3))
(*.f64 t (*.f64 t (*.f64 t #s(literal -2 binary64))))
(* (pow t 3) (- (/ 1 t) 2))
(fma.f64 t (*.f64 t (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 0 binary64))
(* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (/ 1 t)) 2))
(fma.f64 t (*.f64 t (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (/ 1 t)) 2))
(fma.f64 t (*.f64 t (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(* -2 (pow t 3))
(*.f64 t (*.f64 t (*.f64 t #s(literal -2 binary64))))
(* -1 (* (pow t 3) (- 2 (/ 1 t))))
(fma.f64 t (*.f64 t (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 0 binary64))
(* -1 (* (pow t 3) (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t)))))
(fma.f64 t (*.f64 t (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(* -1 (* (pow t 3) (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t)))))
(fma.f64 t (*.f64 t (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64))) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -2 t))
(fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* -2 t))
(fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64))
(+ 1 (* -2 t))
(fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* t (- (/ 1 t) 2))
(fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64))
(* t (- (/ 1 t) 2))
(fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64))
(* t (- (/ 1 t) 2))
(fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -1 (* t (- 2 (/ 1 t))))
(fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64))
(* -1 (* t (- 2 (/ 1 t))))
(fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64))
(* -1 (* t (- 2 (/ 1 t))))
(fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64))
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(pow t 2)
(*.f64 t t)
(/ 1/27 (pow t 2))
(/.f64 #s(literal 1/27 binary64) (*.f64 t t))
(/ (+ 1/27 (* -2/9 t)) (pow t 2))
(/.f64 (fma.f64 t #s(literal -2/9 binary64) #s(literal 1/27 binary64)) (*.f64 t t))
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2))
(/.f64 (fma.f64 t (fma.f64 t #s(literal 5/6 binary64) #s(literal -2/9 binary64)) #s(literal 1/27 binary64)) (*.f64 t t))
(/ (+ 1/27 (* t (- (* 5/6 t) 2/9))) (pow t 2))
(/.f64 (fma.f64 t (fma.f64 t #s(literal 5/6 binary64) #s(literal -2/9 binary64)) #s(literal 1/27 binary64)) (*.f64 t t))
5/6
#s(literal 5/6 binary64)
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(-.f64 #s(literal 5/6 binary64) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)))
(- (+ 5/6 (/ 1/27 (pow t 2))) (* 2/9 (/ 1 t)))
(-.f64 #s(literal 5/6 binary64) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)))
5/6
#s(literal 5/6 binary64)
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(-.f64 #s(literal 5/6 binary64) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)))
(+ 5/6 (* -1 (/ (- 2/9 (* 1/27 (/ 1 t))) t)))
(-.f64 #s(literal 5/6 binary64) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)))
(/ -1/27 (pow t 2))
(/.f64 #s(literal -1/27 binary64) (*.f64 t t))
(/ (- (* 2/9 t) 1/27) (pow t 2))
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))
(/ (- (* 2/9 t) 1/27) (pow t 2))
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))
(/ (- (* 2/9 t) 1/27) (pow t 2))
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))
(/ 2/9 t)
(/.f64 #s(literal 2/9 binary64) t)
(/ (- 2/9 (* 1/27 (/ 1 t))) t)
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))
(/ (- 2/9 (* 1/27 (/ 1 t))) t)
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))
(/ (- 2/9 (* 1/27 (/ 1 t))) t)
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))
(/ 2/9 t)
(/.f64 #s(literal 2/9 binary64) t)
(* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t))
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))
(* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t))
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))
(* -1 (/ (- (* 1/27 (/ 1 t)) 2/9) t))
(/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t))
(/ -1/27 t)
(/.f64 #s(literal -1/27 binary64) t)
(/ (- (* 2/9 t) 1/27) t)
(+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t))
(/ (- (* 2/9 t) 1/27) t)
(+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t))
(/ (- (* 2/9 t) 1/27) t)
(+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t))
2/9
#s(literal 2/9 binary64)
(- 2/9 (* 1/27 (/ 1 t)))
(+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t))
(- 2/9 (* 1/27 (/ 1 t)))
(+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t))
(- 2/9 (* 1/27 (/ 1 t)))
(+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t))
2/9
#s(literal 2/9 binary64)
(- 2/9 (* 1/27 (/ 1 t)))
(+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t))
(- 2/9 (* 1/27 (/ 1 t)))
(+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t))
(- 2/9 (* 1/27 (/ 1 t)))
(+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -1/27 binary64) t))
(/ -1/27 t)
(/.f64 #s(literal -1/27 binary64) t)
(/ -1/27 t)
(/.f64 #s(literal -1/27 binary64) t)
(/ -1/27 t)
(/.f64 #s(literal -1/27 binary64) t)
(/ -1/27 t)
(/.f64 #s(literal -1/27 binary64) t)
(/ -1/27 t)
(/.f64 #s(literal -1/27 binary64) t)
(/ -1/27 t)
(/.f64 #s(literal -1/27 binary64) t)
(/ -1/27 t)
(/.f64 #s(literal -1/27 binary64) t)
(/ -1/27 t)
(/.f64 #s(literal -1/27 binary64) t)
(/ -1/27 t)
(/.f64 #s(literal -1/27 binary64) t)
(/ -1/27 t)
(/.f64 #s(literal -1/27 binary64) t)
(/ -1/27 t)
(/.f64 #s(literal -1/27 binary64) t)
(/ -1/27 t)
(/.f64 #s(literal -1/27 binary64) t)
(* 4 (pow t 2))
(*.f64 (*.f64 t t) #s(literal 4 binary64))
(* (pow t 2) (+ 4 (* -8 t)))
(*.f64 (*.f64 t t) (fma.f64 t #s(literal -8 binary64) #s(literal 4 binary64)))
(* (pow t 2) (+ 4 (* t (- (* 12 t) 8))))
(*.f64 (*.f64 t t) (fma.f64 t (fma.f64 t #s(literal 12 binary64) #s(literal -8 binary64)) #s(literal 4 binary64)))
(* (pow t 2) (+ 4 (* t (- (* t (+ 12 (* -16 t))) 8))))
(*.f64 (*.f64 t t) (fma.f64 t (fma.f64 t (fma.f64 t #s(literal -16 binary64) #s(literal 12 binary64)) #s(literal -8 binary64)) #s(literal 4 binary64)))
4
#s(literal 4 binary64)
(- 4 (* 8 (/ 1 t)))
(+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) t))
(- (+ 4 (/ 12 (pow t 2))) (* 8 (/ 1 t)))
(+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 12 binary64) t)) t))
(- (+ 4 (/ 12 (pow t 2))) (+ (* 8 (/ 1 t)) (* 16 (/ 1 (pow t 3)))))
(+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal -16 binary64) t)) t)) t))
4
#s(literal 4 binary64)
(- 4 (* 8 (/ 1 t)))
(+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) t))
(+ 4 (* -1 (/ (- 8 (* 12 (/ 1 t))) t)))
(+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 12 binary64) t)) t))
(+ 4 (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t)))
(+.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal -16 binary64) t)) t)) t))
2
#s(literal 2 binary64)
(+ 2 (* -4 (pow t 2)))
(fma.f64 t (*.f64 t #s(literal -4 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow t 2) (- (* 8 t) 4)))
(fma.f64 (*.f64 t t) (fma.f64 t #s(literal 8 binary64) #s(literal -4 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow t 2) (- (* t (+ 8 (* 4 t))) 4)))
(fma.f64 (*.f64 t t) (fma.f64 t (fma.f64 t #s(literal 4 binary64) #s(literal 8 binary64)) #s(literal -4 binary64)) #s(literal 2 binary64))
6/5
#s(literal 6/5 binary64)
(+ 6/5 (* 8/25 (/ 1 t)))
(+.f64 #s(literal 6/5 binary64) (/.f64 #s(literal 8/25 binary64) t))
(+ 6/5 (+ (/ 4/125 (pow t 2)) (* 8/25 (/ 1 t))))
(+.f64 (+.f64 #s(literal 6/5 binary64) (/.f64 #s(literal 8/25 binary64) t)) (/.f64 #s(literal 4/125 binary64) (*.f64 t t)))
(- (+ 6/5 (+ (/ 4/125 (pow t 2)) (* 8/25 (/ 1 t)))) (* 48/625 (/ 1 (pow t 3))))
(-.f64 #s(literal 6/5 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 48/625 binary64) t) #s(literal -4/125 binary64)) t) #s(literal -8/25 binary64)) t))
6/5
#s(literal 6/5 binary64)
(+ 6/5 (* 8/25 (/ 1 t)))
(+.f64 #s(literal 6/5 binary64) (/.f64 #s(literal 8/25 binary64) t))
(+ 6/5 (+ (/ 4/125 (pow t 2)) (* 8/25 (/ 1 t))))
(+.f64 (+.f64 #s(literal 6/5 binary64) (/.f64 #s(literal 8/25 binary64) t)) (/.f64 #s(literal 4/125 binary64) (*.f64 t t)))
(+ 6/5 (* -1 (/ (- (* -1 (/ (- 4/125 (* 48/625 (/ 1 t))) t)) 8/25) t)))
(-.f64 #s(literal 6/5 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 48/625 binary64) t) #s(literal -4/125 binary64)) t) #s(literal -8/25 binary64)) t))

eval140.0ms (2.1%)

Memory
8.7MiB live, 285.9MiB allocated
Compiler

Compiled 36 716 to 3 134 computations (91.5% saved)

prune139.0ms (2.1%)

Memory
-14.8MiB live, 259.4MiB allocated
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New9487955
Fresh426
Picked235
Done000
Total95412966
Accuracy
100.0%
Counts
966 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.7%
(fma.f64 (*.f64 t t) (fma.f64 t #s(literal -2 binary64) #s(literal 1 binary64)) #s(literal 1/2 binary64))
53.4%
(fma.f64 t (*.f64 t (fma.f64 t (+.f64 t #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
53.4%
(fma.f64 t t #s(literal 1/2 binary64))
24.7%
(/.f64 (fma.f64 t (fma.f64 t #s(literal 5/6 binary64) #s(literal -2/9 binary64)) #s(literal 1/27 binary64)) (*.f64 t t))
79.6%
(/.f64 (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64)) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64)))
50.3%
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 6/5 binary64) (/.f64 #s(literal 8/25 binary64) t)) (/.f64 #s(literal 4/125 binary64) (*.f64 t t))))
50.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6/5 binary64) (/.f64 #s(literal 8/25 binary64) t)))
79.3%
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64)))))
50.3%
(-.f64 #s(literal 5/6 binary64) (/.f64 (fma.f64 t #s(literal 2/9 binary64) #s(literal -1/27 binary64)) (*.f64 t t)))
49.6%
(-.f64 #s(literal 5/6 binary64) (/.f64 #s(literal 2/9 binary64) t))
57.8%
#s(literal 5/6 binary64)
60.8%
#s(literal 1/2 binary64)
Compiler

Compiled 275 to 158 computations (42.5% saved)

simplify690.0ms (10.3%)

Memory
-64.3MiB live, 867.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 8/25 binary64) t)
cost-diff0
(+.f64 #s(literal 6/5 binary64) (/.f64 #s(literal 8/25 binary64) t))
cost-diff0
(+.f64 (+.f64 #s(literal 6/5 binary64) (/.f64 #s(literal 8/25 binary64) t)) (/.f64 #s(literal 4/125 binary64) (*.f64 t t)))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 6/5 binary64) (/.f64 #s(literal 8/25 binary64) t)) (/.f64 #s(literal 4/125 binary64) (*.f64 t t))))
cost-diff0
(/.f64 #s(literal 8/25 binary64) t)
cost-diff0
(+.f64 #s(literal 6/5 binary64) (/.f64 #s(literal 8/25 binary64) t))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6/5 binary64) (/.f64 #s(literal 8/25 binary64) t)))
cost-diff0
(+.f64 t #s(literal -2 binary64))
cost-diff0
(fma.f64 t (+.f64 t #s(literal -2 binary64)) #s(literal 1 binary64))
cost-diff0
(*.f64 t (fma.f64 t (+.f64 t #s(literal -2 binary64)) #s(literal 1 binary64)))
cost-diff0
(fma.f64 t (*.f64 t (fma.f64 t (+.f64 t #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
cost-diff0
(/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))
cost-diff0
(fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 1 binary64)) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal 2 binary64)))
cost-diff128
(*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))
Rules
14 638×accelerator-lowering-fma.f32
14 638×accelerator-lowering-fma.f64
4 030×+-lowering-+.f64
4 030×+-lowering-+.f32
3 996×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031190
176190
2158190
3412190
4798190
5958190
6991190
71014190
81105190
91522190
101645190
111942190
123236190
135116190
145460190
155537190
165661190
175848190
185882190
08045176
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (+ (* t (/ (* t 4) (* (+ 1 t) (+ 1 t)))) 1) (+ (* t (/ (* t 4) (* (+ 1 t) (+ 1 t)))) 2))
(+ (* t (/ (* t 4) (* (+ 1 t) (+ 1 t)))) 1)
t
(/ (* t 4) (* (+ 1 t) (+ 1 t)))
(* t 4)
4
(* (+ 1 t) (+ 1 t))
(+ 1 t)
1
(+ (* t (/ (* t 4) (* (+ 1 t) (+ 1 t)))) 2)
2
5/6
(+ (* t (* t (+ (* t (+ t -2)) 1))) 1/2)
t
(* t (+ (* t (+ t -2)) 1))
(+ (* t (+ t -2)) 1)
(+ t -2)
-2
1
1/2
(/ 1 (+ 6/5 (/ 8/25 t)))
1
(+ 6/5 (/ 8/25 t))
6/5
(/ 8/25 t)
8/25
t
(/ 1 (+ (+ 6/5 (/ 8/25 t)) (/ 4/125 (* t t))))
1
(+ (+ 6/5 (/ 8/25 t)) (/ 4/125 (* t t)))
(+ 6/5 (/ 8/25 t))
6/5
(/ 8/25 t)
8/25
t
(/ 4/125 (* t t))
4/125
(* t t)
Outputs
(/ (+ (* t (/ (* t 4) (* (+ 1 t) (+ 1 t)))) 1) (+ (* t (/ (* t 4) (* (+ 1 t) (+ 1 t)))) 2))
(/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 t t) (fma.f64 t (+.f64 t #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (fma.f64 t (+.f64 t #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(+ (* t (/ (* t 4) (* (+ 1 t) (+ 1 t)))) 1)
(fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 t t) (fma.f64 t (+.f64 t #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))
t
(/ (* t 4) (* (+ 1 t) (+ 1 t)))
(/.f64 (*.f64 t #s(literal 4 binary64)) (fma.f64 t (+.f64 t #s(literal 2 binary64)) #s(literal 1 binary64)))
(* t 4)
(*.f64 t #s(literal 4 binary64))
4
#s(literal 4 binary64)
(* (+ 1 t) (+ 1 t))
(fma.f64 t (+.f64 t #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 t)
(+.f64 t #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ (* t (/ (* t 4) (* (+ 1 t) (+ 1 t)))) 2)
(fma.f64 t (/.f64 (*.f64 t #s(literal 4 binary64)) (fma.f64 t (+.f64 t #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
2
#s(literal 2 binary64)
5/6
#s(literal 5/6 binary64)
(+ (* t (* t (+ (* t (+ t -2)) 1))) 1/2)
(fma.f64 t (*.f64 t (fma.f64 t (+.f64 t #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64))
t
(* t (+ (* t (+ t -2)) 1))
(*.f64 t (fma.f64 t (+.f64 t #s(literal -2 binary64)) #s(literal 1 binary64)))
(+ (* t (+ t -2)) 1)
(fma.f64 t (+.f64 t #s(literal -2 binary64)) #s(literal 1 binary64))
(+ t -2)
(+.f64 t #s(literal -2 binary64))
-2
#s(literal -2 binary64)
1
#s(literal 1 binary64)
1/2
#s(literal 1/2 binary64)
(/ 1 (+ 6/5 (/ 8/25 t)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6/5 binary64) (/.f64 #s(literal 8/25 binary64) t)))
1
#s(literal 1 binary64)
(+ 6/5 (/ 8/25 t))
(+.f64 #s(literal 6/5 binary64) (/.f64 #s(literal 8/25 binary64) t))
6/5
#s(literal 6/5 binary64)
(/ 8/25 t)
(/.f64 #s(literal 8/25 binary64) t)
8/25
#s(literal 8/25 binary64)
t
(/ 1 (+ (+ 6/5 (/ 8/25 t)) (/ 4/125 (* t t))))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 8/25 binary64) t) (+.f64 #s(literal 6/5 binary64) (/.f64 #s(literal 4/125 binary64) (*.f64 t t)))))
1
#s(literal 1 binary64)
(+ (+ 6/5 (/ 8/25 t)) (/ 4/125 (* t t)))
(+.f64 (/.f64 #s(literal 8/25 binary64) t) (+.f64 #s(literal 6/5 binary64) (/.f64 #s(literal 4/125 binary64) (*.f64 t t))))
(+ 6/5 (/ 8/25 t))
(+.f64 #s(literal 6/5 binary64) (/.f64 #s(literal 8/25 binary64) t))
6/5
#s(literal 6/5 binary64)
(/ 8/25 t)
(/.f64 #s(literal 8/25 binary64) t)
8/25
#s(literal 8/25 binary64)
t
(/ 4/125 (* t t))
(/.f64 #s(literal 4/125 binary64) (*.f64 t t))
4/125
#s(literal 4/125 binary64)
(* t t)
(*.f64 t t)

localize6.0ms (0.1%)

Memory
-19.4MiB live, 19.6MiB allocated
Samples
3.0ms12×0valid
Compiler

Compiled 184 to 33 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
const: 1.0ms (52.4% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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