Kahan p13 Example 2

Time bar (total: 7.5s)

analyze386.0ms (5.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
50%50%50%0%0%0%0%4
50%50%50%0%0%0%0%5
50%50%50%0%0%0%0%6
50%50%50%0%0%0%0%7
50%50%50%0%0%0%0%8
50%50%50%0%0%0%0%9
50%50%50%0%0%0%0%10
50%50%50%0%0%0%0%11
50%50%49.9%0%0%0%0%12
Compiler

Compiled 53 to 13 computations (75.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 253.0ms
ival-div: 124.0ms (49.1% of total)
ival-add: 84.0ms (33.2% of total)
ival-mult: 32.0ms (12.7% of total)
ival-sub: 10.0ms (4% of total)
const: 3.0ms (1.2% of total)
backward-pass: 1.0ms (0.4% of total)

sample1.5s (20.5%)

Results
1.3s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 976.0ms
ival-add: 320.0ms (32.8% of total)
ival-div: 276.0ms (28.3% of total)
ival-mult: 237.0ms (24.3% of total)
ival-sub: 127.0ms (13% of total)
const: 13.0ms (1.3% of total)
backward-pass: 3.0ms (0.3% of total)
Bogosity

preprocess239.0ms (3.2%)

Algorithm
2×egg-herbie
Rules
1882×*-lowering-*.f32
1882×*-lowering-*.f64
1588×fnmadd-define
1586×fma-define
1496×sum3-define
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
023158
152136
2124135
341599
4179199
01247
12245
24645
314633
466333
5284531
0815231
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(/ (+ 1 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))) (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))
Outputs
(/ (+ 1 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))) (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))
(/.f64 (+.f64 #s(literal 5 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)))) (+.f64 #s(literal 6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)))))
Call 2
Inputs
(/ (+ 1 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))) (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))
(/ (+ 1 (* (- 2 (/ (/ 2 (neg t)) (+ 1 (/ 1 (neg t))))) (- 2 (/ (/ 2 (neg t)) (+ 1 (/ 1 (neg t))))))) (+ 2 (* (- 2 (/ (/ 2 (neg t)) (+ 1 (/ 1 (neg t))))) (- 2 (/ (/ 2 (neg t)) (+ 1 (/ 1 (neg t))))))))
(neg (/ (+ 1 (* (- 2 (/ (/ 2 (neg t)) (+ 1 (/ 1 (neg t))))) (- 2 (/ (/ 2 (neg t)) (+ 1 (/ 1 (neg t))))))) (+ 2 (* (- 2 (/ (/ 2 (neg t)) (+ 1 (/ 1 (neg t))))) (- 2 (/ (/ 2 (neg t)) (+ 1 (/ 1 (neg t)))))))))
Outputs
(/ (+ 1 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))) (+ 2 (* (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))) (- 2 (/ (/ 2 t) (+ 1 (/ 1 t)))))))
(/ (fma (+ 2 (/ 2 (- -1 t))) (+ 2 (/ 2 (- -1 t))) 1) (fma (+ 2 (/ 2 (- -1 t))) (+ 2 (/ 2 (- -1 t))) 2))
(/ (+ 1 (* (- 2 (/ (/ 2 (neg t)) (+ 1 (/ 1 (neg t))))) (- 2 (/ (/ 2 (neg t)) (+ 1 (/ 1 (neg t))))))) (+ 2 (* (- 2 (/ (/ 2 (neg t)) (+ 1 (/ 1 (neg t))))) (- 2 (/ (/ 2 (neg t)) (+ 1 (/ 1 (neg t))))))))
(/ (fmsub (- 2 (/ -2 (+ t -1))) (- 2 (/ -2 (+ t -1))) -1) (fmsub (- 2 (/ -2 (+ t -1))) (- 2 (/ -2 (+ t -1))) -2))
(neg (/ (+ 1 (* (- 2 (/ (/ 2 (neg t)) (+ 1 (/ 1 (neg t))))) (- 2 (/ (/ 2 (neg t)) (+ 1 (/ 1 (neg t))))))) (+ 2 (* (- 2 (/ (/ 2 (neg t)) (+ 1 (/ 1 (neg t))))) (- 2 (/ (/ 2 (neg t)) (+ 1 (/ 1 (neg t)))))))))
(/ (fmsub (- 2 (/ -2 (+ t -1))) (- 2 (/ -2 (+ t -1))) -1) (fnmsub (- 2 (/ -2 (+ t -1))) (- 2 (/ -2 (+ t -1))) 2))

explain244.0ms (3.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1270-0-(-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))
00-0-(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))
00-0-(/.f64 #s(literal 1 binary64) t)
00-0-(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))
00-0-(+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))
00-0-#s(literal 2 binary64)
00-0-(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))
00-0-t
00-0-#s(literal 1 binary64)
00-0-(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))))
00-0-(/.f64 #s(literal 2 binary64) t)
00-0-(/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))
Results
40.0ms166×1valid
37.0ms84×2valid
33.0ms262×0valid
Compiler

Compiled 372 to 38 computations (89.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-div: 31.0ms (45.5% of total)
ival-add: 12.0ms (17.6% of total)
backward-pass: 10.0ms (14.7% of total)
ival-mult: 10.0ms (14.7% of total)
ival-sub: 4.0ms (5.9% of total)
const: 1.0ms (1.5% of total)

eval0.0ms (0%)

Compiler

Compiled 32 to 13 computations (59.4% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (+.f64 #s(literal 5 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)))) (+.f64 #s(literal 6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)))))
Compiler

Compiled 32 to 13 computations (59.4% saved)

simplify35.0ms (0.5%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(+.f64 #s(literal 6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64))))
✓cost-diff128
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)))
✓cost-diff128
(+.f64 #s(literal 5 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64))))
✓cost-diff256
(/.f64 (+.f64 #s(literal 5 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)))) (+.f64 #s(literal 6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)))))
Rules
266×fma-define
220×fma-lowering-fma.f32
220×fma-lowering-fma.f64
126×sum3-define
122×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01395
12791
26985
310385
412685
513985
616285
732485
842285
950785
1054585
1154785
054785
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (+ 5 (* (/ 2 (+ 1 t)) (+ (/ 2 (+ 1 t)) -4))) (+ 6 (* (/ 2 (+ 1 t)) (+ (/ 2 (+ 1 t)) -4))))
(+ 5 (* (/ 2 (+ 1 t)) (+ (/ 2 (+ 1 t)) -4)))
5
(* (/ 2 (+ 1 t)) (+ (/ 2 (+ 1 t)) -4))
(/ 2 (+ 1 t))
2
(+ 1 t)
1
t
(+ (/ 2 (+ 1 t)) -4)
-4
(+ 6 (* (/ 2 (+ 1 t)) (+ (/ 2 (+ 1 t)) -4)))
6
Outputs
(/ (+ 5 (* (/ 2 (+ 1 t)) (+ (/ 2 (+ 1 t)) -4))) (+ 6 (* (/ 2 (+ 1 t)) (+ (/ 2 (+ 1 t)) -4))))
(/.f64 (+.f64 #s(literal 5 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) t))) (+.f64 #s(literal 1 binary64) t))) (+.f64 (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) t))) (+.f64 #s(literal 1 binary64) t)) #s(literal 6 binary64)))
(+ 5 (* (/ 2 (+ 1 t)) (+ (/ 2 (+ 1 t)) -4)))
(+.f64 #s(literal 5 binary64) (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) t))) (+.f64 #s(literal 1 binary64) t)))
5
#s(literal 5 binary64)
(* (/ 2 (+ 1 t)) (+ (/ 2 (+ 1 t)) -4))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) t))) (+.f64 #s(literal 1 binary64) t))
(/ 2 (+ 1 t))
(/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t))
2
#s(literal 2 binary64)
(+ 1 t)
(+.f64 #s(literal 1 binary64) t)
1
#s(literal 1 binary64)
t
(+ (/ 2 (+ 1 t)) -4)
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64))
-4
#s(literal -4 binary64)
(+ 6 (* (/ 2 (+ 1 t)) (+ (/ 2 (+ 1 t)) -4)))
(+.f64 (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) t))) (+.f64 #s(literal 1 binary64) t)) #s(literal 6 binary64))
6
#s(literal 6 binary64)

localize316.0ms (4.2%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 (+.f64 #s(literal 5 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)))) (+.f64 #s(literal 6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)))))
✓accuracy100.0%
(+.f64 #s(literal 5 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64))))
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64))
✓accuracy100.0%
(*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)))
Results
30.0ms256×0valid
Compiler

Compiled 97 to 14 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-add: 5.0ms (44.8% of total)
ival-div: 3.0ms (26.9% of total)
ival-mult: 2.0ms (17.9% of total)
const: 1.0ms (9% of total)
backward-pass: 0.0ms (0% of total)

series3.0ms (0%)

Counts
5 → 60
Calls
Call 1
Inputs
#<alt (/ (+ 5 (* (/ 2 (+ 1 t)) (+ (/ 2 (+ 1 t)) -4))) (+ 6 (* (/ 2 (+ 1 t)) (+ (/ 2 (+ 1 t)) -4))))>
#<alt (+ 5 (* (/ 2 (+ 1 t)) (+ (/ 2 (+ 1 t)) -4)))>
#<alt (* (/ 2 (+ 1 t)) (+ (/ 2 (+ 1 t)) -4))>
#<alt (+ 6 (* (/ 2 (+ 1 t)) (+ (/ 2 (+ 1 t)) -4)))>
#<alt (+ (/ 2 (+ 1 t)) -4)>
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 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 -4>
#<alt (- (* 4 (pow t 2)) 4)>
#<alt (- (* (pow t 2) (+ 4 (* -8 t))) 4)>
#<alt (- (* (pow t 2) (+ 4 (* t (- (* 12 t) 8)))) 4)>
#<alt (/ -8 t)>
#<alt (/ (- (* 12 (/ 1 t)) 8) t)>
#<alt (/ (- (* 12 (/ 1 t)) (+ 8 (/ 16 (pow t 2)))) t)>
#<alt (/ (- (+ (* 12 (/ 1 t)) (* 20 (/ 1 (pow t 3)))) (+ 8 (/ 16 (pow t 2)))) t)>
#<alt (/ -8 t)>
#<alt (* -1 (/ (- 8 (* 12 (/ 1 t))) t))>
#<alt (* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t))>
#<alt (* -1 (/ (+ 8 (* -1 (/ (+ 12 (* -1 (/ (- 16 (* 20 (/ 1 t))) 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 -2>
#<alt (- (* -2 t) 2)>
#<alt (- (* t (- (* 2 t) 2)) 2)>
#<alt (- (* t (- (* t (+ 2 (* -2 t))) 2)) 2)>
#<alt -4>
#<alt (- (* 2 (/ 1 t)) 4)>
#<alt (- (* 2 (/ 1 t)) (+ 4 (/ 2 (pow t 2))))>
#<alt (- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (pow t 3)))) (+ 4 (/ 2 (pow t 2))))>
#<alt -4>
#<alt (- (* 2 (/ 1 t)) 4)>
#<alt (- (* -1 (/ (- (* 2 (/ 1 t)) 2) t)) 4)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 t)) 2) t)) 2) t)) 4)>
Calls

15 calls:

TimeVariablePointExpression
0.0ms
t
@0
(/ (+ 5 (* (/ 2 (+ 1 t)) (+ (/ 2 (+ 1 t)) -4))) (+ 6 (* (/ 2 (+ 1 t)) (+ (/ 2 (+ 1 t)) -4))))
0.0ms
t
@-inf
(/ (+ 5 (* (/ 2 (+ 1 t)) (+ (/ 2 (+ 1 t)) -4))) (+ 6 (* (/ 2 (+ 1 t)) (+ (/ 2 (+ 1 t)) -4))))
0.0ms
t
@inf
(/ (+ 5 (* (/ 2 (+ 1 t)) (+ (/ 2 (+ 1 t)) -4))) (+ 6 (* (/ 2 (+ 1 t)) (+ (/ 2 (+ 1 t)) -4))))
0.0ms
t
@inf
(* (/ 2 (+ 1 t)) (+ (/ 2 (+ 1 t)) -4))
0.0ms
t
@inf
(+ (/ 2 (+ 1 t)) -4)

rewrite437.0ms (5.8%)

Algorithm
1×batch-egg-rewrite
Rules
4472×*-lowering-*.f32
4472×*-lowering-*.f64
3568×/-lowering-/.f32
3568×/-lowering-/.f64
2428×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01381
19377
289376
0858876
Stop Event
1×iter limit
1×node limit
Counts
5 → 424
Calls
Call 1
Inputs
(/ (+ 5 (* (/ 2 (+ 1 t)) (+ (/ 2 (+ 1 t)) -4))) (+ 6 (* (/ 2 (+ 1 t)) (+ (/ 2 (+ 1 t)) -4))))
(+ 5 (* (/ 2 (+ 1 t)) (+ (/ 2 (+ 1 t)) -4)))
(* (/ 2 (+ 1 t)) (+ (/ 2 (+ 1 t)) -4))
(+ 6 (* (/ 2 (+ 1 t)) (+ (/ 2 (+ 1 t)) -4)))
(+ (/ 2 (+ 1 t)) -4)
Outputs
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 2 binary64))) #s(literal 6 binary64))) #s(literal 5 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 2 binary64))) #s(literal 6 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 2 binary64))) #s(literal 6 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 2 binary64))) #s(literal 6 binary64))) #s(literal 5 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 2 binary64))) #s(literal 6 binary64))) (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 2 binary64))) #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 8 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal 5 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 2 binary64))) #s(literal 6 binary64))) (+.f64 #s(literal 5 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 2 binary64))) #s(literal 6 binary64))) (/.f64 #s(literal 8 binary64) (-.f64 #s(literal -1 binary64) t))))
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(/.f64 (+.f64 #s(literal 64 binary64) (neg.f64 (/.f64 #s(literal -8 binary64) (*.f64 (-.f64 #s(literal -1 binary64) t) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))))) (neg.f64 (+.f64 #s(literal 16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal 4 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal -16 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal -4 binary64)))
(/.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))) (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal 4 binary64)) #s(literal 16 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal 4 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 64 binary64) (neg.f64 (/.f64 #s(literal -8 binary64) (*.f64 (-.f64 #s(literal -1 binary64) t) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 8 binary64) (-.f64 #s(literal -1 binary64) t)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal -16 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal -4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))))) (neg.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal 4 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -16 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal -4 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal 4 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal -16 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal -4 binary64))) (/.f64 #s(literal -16 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal -4 binary64)))) (*.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal 4 binary64))) (/.f64 #s(literal -16 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal -4 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal -16 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal -4 binary64))) (/.f64 #s(literal -16 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal -4 binary64))))) (+.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal 4 binary64))) (/.f64 #s(literal -16 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal -4 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 (/.f64 #s(literal -8 binary64) (*.f64 (-.f64 #s(literal -1 binary64) t) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 8 binary64) (-.f64 #s(literal -1 binary64) t))))))
(*.f64 (+.f64 (/.f64 #s(literal -8 binary64) (*.f64 (-.f64 #s(literal -1 binary64) t) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t)))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal 4 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) t) #s(literal 2 binary64))))))
(*.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal -16 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal -4 binary64))))
(*.f64 (+.f64 #s(literal 64 binary64) (neg.f64 (/.f64 #s(literal -8 binary64) (*.f64 (-.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 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) (-.f64 #s(literal 16 binary64) (/.f64 #s(literal 8 binary64) (-.f64 #s(literal -1 binary64) t)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 1 binary64) t))) #s(literal -16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)) #s(literal -4 binary64))))
(*.f64 (-.f64 #s(literal 16 binary64) (/.f64 #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 -4 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) t)))))

simplify206.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
1962×*-lowering-*.f32
1962×*-lowering-*.f64
1856×+-lowering-+.f64
1856×+-lowering-+.f32
1396×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0148503
1463446
21234436
33025428
08067428
Stop Event
1×iter limit
1×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)))
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)))
-4
(- (* 4 (pow t 2)) 4)
(- (* (pow t 2) (+ 4 (* -8 t))) 4)
(- (* (pow t 2) (+ 4 (* t (- (* 12 t) 8)))) 4)
(/ -8 t)
(/ (- (* 12 (/ 1 t)) 8) t)
(/ (- (* 12 (/ 1 t)) (+ 8 (/ 16 (pow t 2)))) t)
(/ (- (+ (* 12 (/ 1 t)) (* 20 (/ 1 (pow t 3)))) (+ 8 (/ 16 (pow t 2)))) t)
(/ -8 t)
(* -1 (/ (- 8 (* 12 (/ 1 t))) t))
(* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t))
(* -1 (/ (+ 8 (* -1 (/ (+ 12 (* -1 (/ (- 16 (* 20 (/ 1 t))) 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)))
-2
(- (* -2 t) 2)
(- (* t (- (* 2 t) 2)) 2)
(- (* t (- (* t (+ 2 (* -2 t))) 2)) 2)
-4
(- (* 2 (/ 1 t)) 4)
(- (* 2 (/ 1 t)) (+ 4 (/ 2 (pow t 2))))
(- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (pow t 3)))) (+ 4 (/ 2 (pow t 2))))
-4
(- (* 2 (/ 1 t)) 4)
(- (* -1 (/ (- (* 2 (/ 1 t)) 2) t)) 4)
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 t)) 2) t)) 2) t)) 4)
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (pow t 2))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -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 binary64) t) t) (+.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 4/81 binary64) t))) (/.f64 #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))
1
#s(literal 1 binary64)
(+ 1 (* 4 (pow t 2)))
(+.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t #s(literal 4 binary64))))
(+ 1 (* (pow t 2) (+ 4 (* -8 t))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 4 binary64) (*.f64 t #s(literal -8 binary64)))))
(+ 1 (* (pow t 2) (+ 4 (* t (- (* 12 t) 8)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 4 binary64) (*.f64 t (+.f64 #s(literal -8 binary64) (*.f64 t #s(literal 12 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 (/.f64 #s(literal 16 binary64) t) #s(literal -12 binary64)) 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 (/.f64 #s(literal 16 binary64) t) #s(literal -12 binary64)) t)) t))
-4
#s(literal -4 binary64)
(- (* 4 (pow t 2)) 4)
(+.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) #s(literal -4 binary64))
(- (* (pow t 2) (+ 4 (* -8 t))) 4)
(+.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 4 binary64) (*.f64 t #s(literal -8 binary64)))) #s(literal -4 binary64))
(- (* (pow t 2) (+ 4 (* t (- (* 12 t) 8)))) 4)
(+.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 4 binary64) (*.f64 t (+.f64 #s(literal -8 binary64) (*.f64 t #s(literal 12 binary64)))))) #s(literal -4 binary64))
(/ -8 t)
(/.f64 #s(literal -8 binary64) t)
(/ (- (* 12 (/ 1 t)) 8) t)
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 12 binary64) t)) t)
(/ (- (* 12 (/ 1 t)) (+ 8 (/ 16 (pow t 2)))) t)
(/.f64 (-.f64 #s(literal -8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) t) #s(literal -12 binary64)) t)) t)
(/ (- (+ (* 12 (/ 1 t)) (* 20 (/ 1 (pow t 3)))) (+ 8 (/ 16 (pow t 2)))) t)
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (-.f64 #s(literal 12 binary64) (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -20 binary64) t)) t)) t)) t)
(/ -8 t)
(/.f64 #s(literal -8 binary64) t)
(* -1 (/ (- 8 (* 12 (/ 1 t))) t))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal 12 binary64) t)) t)
(* -1 (/ (+ 8 (* -1 (/ (- 12 (* 16 (/ 1 t))) t))) t))
(/.f64 (-.f64 #s(literal -8 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) t) #s(literal -12 binary64)) t)) t)
(* -1 (/ (+ 8 (* -1 (/ (+ 12 (* -1 (/ (- 16 (* 20 (/ 1 t))) t))) t))) t))
(/.f64 (+.f64 #s(literal -8 binary64) (/.f64 (-.f64 #s(literal 12 binary64) (/.f64 (+.f64 #s(literal 16 binary64) (/.f64 #s(literal -20 binary64) t)) t)) t)) t)
2
#s(literal 2 binary64)
(+ 2 (* 4 (pow t 2)))
(+.f64 #s(literal 2 binary64) (*.f64 t (*.f64 t #s(literal 4 binary64))))
(+ 2 (* (pow t 2) (+ 4 (* -8 t))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 4 binary64) (*.f64 t #s(literal -8 binary64)))))
(+ 2 (* (pow t 2) (+ 4 (* t (- (* 12 t) 8)))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 4 binary64) (*.f64 t (+.f64 #s(literal -8 binary64) (*.f64 t #s(literal 12 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 (/.f64 #s(literal 16 binary64) t) #s(literal -12 binary64)) 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 (/.f64 #s(literal 16 binary64) t) #s(literal -12 binary64)) t)) t))
-2
#s(literal -2 binary64)
(- (* -2 t) 2)
(+.f64 #s(literal -2 binary64) (*.f64 t #s(literal -2 binary64)))
(- (* t (- (* 2 t) 2)) 2)
(+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t #s(literal 2 binary64)))))
(- (* t (- (* t (+ 2 (* -2 t))) 2)) 2)
(+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal -2 binary64) (*.f64 t (+.f64 #s(literal 2 binary64) (*.f64 t #s(literal -2 binary64)))))))
-4
#s(literal -4 binary64)
(- (* 2 (/ 1 t)) 4)
(+.f64 (/.f64 #s(literal 2 binary64) t) #s(literal -4 binary64))
(- (* 2 (/ 1 t)) (+ 4 (/ 2 (pow t 2))))
(+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) t)) t) #s(literal -4 binary64))
(- (+ (* 2 (/ 1 t)) (* 2 (/ 1 (pow t 3)))) (+ 4 (/ 2 (pow t 2))))
(+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) t)) t)) t) #s(literal -4 binary64))
-4
#s(literal -4 binary64)
(- (* 2 (/ 1 t)) 4)
(+.f64 (/.f64 #s(literal 2 binary64) t) #s(literal -4 binary64))
(- (* -1 (/ (- (* 2 (/ 1 t)) 2) t)) 4)
(+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) t)) t) #s(literal -4 binary64))
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 t)) 2) t)) 2) t)) 4)
(+.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) t)) t)) t) #s(literal -4 binary64))

eval263.0ms (3.5%)

Compiler

Compiled 37101 to 2369 computations (93.6% saved)

prune151.0ms (2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New7337740
Fresh000
Picked011
Done000
Total7338741
Accuracy
100.0%
Counts
741 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.1%
(/.f64 (+.f64 #s(literal 5 binary64) (/.f64 #s(literal -8 binary64) t)) (+.f64 #s(literal 6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)))))
✓100.0%
(/.f64 (+.f64 #s(literal 5 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)))) (+.f64 #s(literal 6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)))))
▶51.1%
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
51.6%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
▶50.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
▶51.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
▶59.2%
#s(literal 5/6 binary64)
▶59.5%
#s(literal 1/2 binary64)
Compiler

Compiled 160 to 107 computations (33.1% saved)

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
✓cost-diff0
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
✓cost-diff0
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
✓cost-diff0
(/.f64 #s(literal -2/9 binary64) t)
✓cost-diff0
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
✓cost-diff0
(*.f64 t t)
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
Rules
116×fma-define
102×fma-lowering-fma.f32
102×fma-lowering-fma.f64
78×*-lowering-*.f32
78×*-lowering-*.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01562
13156
26556
313956
418856
519056
019056
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
1/2
5/6
(+ 1/2 (* t t))
1/2
(* t t)
t
(+ 5/6 (/ -2/9 t))
5/6
(/ -2/9 t)
-2/9
t
(+ 1/2 (* t (* t (+ 1 (* t -2)))))
1/2
(* t (* t (+ 1 (* t -2))))
t
(* t (+ 1 (* t -2)))
(+ 1 (* t -2))
1
(* t -2)
-2
Outputs
1/2
#s(literal 1/2 binary64)
5/6
#s(literal 5/6 binary64)
(+ 1/2 (* t t))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
1/2
#s(literal 1/2 binary64)
(* t t)
(*.f64 t t)
t
(+ 5/6 (/ -2/9 t))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
5/6
#s(literal 5/6 binary64)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
-2/9
#s(literal -2/9 binary64)
t
(+ 1/2 (* t (* t (+ 1 (* t -2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
1/2
#s(literal 1/2 binary64)
(* t (* t (+ 1 (* t -2))))
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
t
(* t (+ 1 (* t -2)))
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(+ 1 (* t -2))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
1
#s(literal 1 binary64)
(* t -2)
(*.f64 t #s(literal -2 binary64))
-2
#s(literal -2 binary64)

localize65.0ms (0.9%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
✓accuracy100.0%
(*.f64 t #s(literal -2 binary64))
✓accuracy100.0%
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
✓accuracy99.9%
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
✓accuracy100.0%
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
✓accuracy99.5%
(/.f64 #s(literal -2/9 binary64) t)
✓accuracy100.0%
(*.f64 t t)
✓accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
Results
47.0ms256×0valid
Compiler

Compiled 64 to 16 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
...c/correct-round.rkt:119:19: 9.0ms (36.4% of total)
ival-mult: 7.0ms (28.3% of total)
ival-add: 5.0ms (20.2% of total)
ival-div: 2.0ms (8.1% of total)
const: 1.0ms (4% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts
9 → 108
Calls
Call 1
Inputs
#<alt (+ 1/2 (* t t))>
#<alt (* t t)>
#<alt (+ 5/6 (/ -2/9 t))>
#<alt (/ -2/9 t)>
#<alt (+ 1/2 (* t (* t (+ 1 (* t -2)))))>
#<alt (* t (* t (+ 1 (* t -2))))>
#<alt (* t (+ 1 (* t -2)))>
#<alt (+ 1 (* t -2))>
#<alt (* t -2)>
Outputs
#<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 (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 (/ -2/9 t)>
#<alt (/ (- (* 5/6 t) 2/9) t)>
#<alt (/ (- (* 5/6 t) 2/9) t)>
#<alt (/ (- (* 5/6 t) 2/9) t)>
#<alt 5/6>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt 5/6>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<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 (pow t 2)>
#<alt (* (pow t 2) (+ 1 (* -2 t)))>
#<alt (* (pow t 2) (+ 1 (* -2 t)))>
#<alt (* (pow t 2) (+ 1 (* -2 t)))>
#<alt (* -2 (pow t 3))>
#<alt (* (pow t 3) (- (/ 1 t) 2))>
#<alt (* (pow t 3) (- (/ 1 t) 2))>
#<alt (* (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 t))))>
#<alt (* -1 (* (pow t 3) (- 2 (/ 1 t))))>
#<alt t>
#<alt (* t (+ 1 (* -2 t)))>
#<alt (* t (+ 1 (* -2 t)))>
#<alt (* t (+ 1 (* -2 t)))>
#<alt (* -2 (pow t 2))>
#<alt (* (pow t 2) (- (/ 1 t) 2))>
#<alt (* (pow t 2) (- (/ 1 t) 2))>
#<alt (* (pow t 2) (- (/ 1 t) 2))>
#<alt (* -2 (pow t 2))>
#<alt (* (pow t 2) (- (/ 1 t) 2))>
#<alt (* (pow t 2) (- (/ 1 t) 2))>
#<alt (* (pow t 2) (- (/ 1 t) 2))>
#<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 (* -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)>
Calls

27 calls:

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

rewrite332.0ms (4.4%)

Algorithm
1×batch-egg-rewrite
Rules
4422×*-lowering-*.f32
4422×*-lowering-*.f64
3322×/-lowering-/.f32
3322×/-lowering-/.f64
1584×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01551
19245
276545
0854145
Stop Event
1×iter limit
1×node limit
Counts
9 → 331
Calls
Call 1
Inputs
(+ 1/2 (* t t))
(* t t)
(+ 5/6 (/ -2/9 t))
(/ -2/9 t)
(+ 1/2 (* t (* t (+ 1 (* t -2)))))
(* t (* t (+ 1 (* t -2))))
(* t (+ 1 (* t -2)))
(+ 1 (* t -2))
(* t -2)
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+.f64 (*.f64 t t) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 t t))) (neg.f64 (/.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 #s(literal 1/2 binary64) (*.f64 t t)))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 t t))) (/.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 #s(literal 1/2 binary64) (*.f64 t t))))
(-.f64 (/.f64 (*.f64 t (*.f64 t (*.f64 t t))) (+.f64 (*.f64 t t) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 t t) #s(literal -1/2 binary64))))
(fma.f64 t t #s(literal 1/2 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (+.f64 (neg.f64 (*.f64 (*.f64 t t) (+.f64 (*.f64 t t) #s(literal -1/2 binary64)))) #s(literal -1/4 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 t (*.f64 t (*.f64 t t)))) (+.f64 #s(literal -1/2 binary64) (*.f64 t t))))
(neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) (+.f64 (*.f64 t t) #s(literal -1/2 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 t (*.f64 t (*.f64 t t))))) (-.f64 #s(literal 1/2 binary64) (*.f64 t t))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 t t))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 t t))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) t) t))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 t t) #s(literal -1/2 binary64)) (+.f64 (*.f64 t (*.f64 t (*.f64 t t))) #s(literal -1/4 binary64))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) (+.f64 (*.f64 t t) #s(literal -1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (+.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) t) t))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 t (*.f64 t (*.f64 t t)))) (-.f64 #s(literal 1/2 binary64) (*.f64 t t)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 t t)))))
(/.f64 (+.f64 (neg.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) #s(literal -1/8 binary64)) (+.f64 (neg.f64 (*.f64 (*.f64 t t) (+.f64 (*.f64 t t) #s(literal -1/2 binary64)))) #s(literal -1/4 binary64)))
(/.f64 (+.f64 (neg.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) #s(literal -1/8 binary64)) (neg.f64 (+.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) t) t)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 t (*.f64 t (*.f64 t t))))) (+.f64 #s(literal -1/2 binary64) (*.f64 t t)))
(/.f64 (+.f64 (*.f64 t (*.f64 t (*.f64 t t))) #s(literal -1/4 binary64)) (+.f64 (*.f64 t t) #s(literal -1/2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 t t))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t t))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 t t)) (-.f64 #s(literal 1/2 binary64) (*.f64 t t))))
(/.f64 (*.f64 (+.f64 #s(literal 1/512 binary64) (*.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) (-.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) #s(literal 1/8 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) (+.f64 (*.f64 t t) #s(literal -1/2 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 t t) (*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) (+.f64 (*.f64 t t) #s(literal -1/2 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 t t) (*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (+.f64 (*.f64 t (*.f64 t (*.f64 t t))) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 t t))))
(/.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 t (*.f64 t (*.f64 t t)))) (-.f64 #s(literal 1/2 binary64) (*.f64 t t))))
(/.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) #s(literal -1/8 binary64))) (neg.f64 (+.f64 (neg.f64 (*.f64 (*.f64 t t) (+.f64 (*.f64 t t) #s(literal -1/2 binary64)))) #s(literal -1/4 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 t (*.f64 t (*.f64 t t)))))) (neg.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 t t))))
(/.f64 (neg.f64 (+.f64 (*.f64 t (*.f64 t (*.f64 t t))) #s(literal -1/4 binary64))) (neg.f64 (+.f64 (*.f64 t t) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 t t))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 #s(literal 1/2 binary64) (*.f64 t t))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 t t))) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (+.f64 (*.f64 (/.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 #s(literal 1/2 binary64) (*.f64 t t))) (/.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 t t))) (/.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 #s(literal 1/2 binary64) (*.f64 t t)))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 t t))) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (*.f64 (/.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 #s(literal 1/2 binary64) (*.f64 t t))) (/.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 #s(literal 1/2 binary64) (*.f64 t t))))) (+.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 t t))) (/.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 #s(literal 1/2 binary64) (*.f64 t t)))))
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) #s(literal 1 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) (+.f64 (*.f64 t t) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 t (*.f64 t (*.f64 t t)))) #s(literal 1 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 t t)))
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(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64)) (*.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) #s(literal 64 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64)) (-.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 t (-.f64 (*.f64 t #s(literal 4 binary64)) #s(literal -2 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) #s(literal 64 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (*.f64 t (*.f64 t t)))) (+.f64 #s(literal 1 binary64) (*.f64 t (-.f64 (*.f64 t #s(literal 4 binary64)) #s(literal -2 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) #s(literal 64 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (+.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 t (*.f64 t t))) #s(literal 16 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t #s(literal 4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 t (-.f64 (*.f64 t #s(literal 4 binary64)) #s(literal -2 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal -4 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 t (-.f64 (*.f64 t #s(literal 4 binary64)) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 t t) #s(literal -4 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) #s(literal -1 binary64))) (neg.f64 (+.f64 (*.f64 t #s(literal -2 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 2 binary64))))) (+.f64 (*.f64 (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 2 binary64)))) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 2 binary64)))) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 2 binary64))))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 2 binary64))))) (*.f64 (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 2 binary64)))) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 2 binary64)))) (/.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64)) (*.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) #s(literal 64 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 t (-.f64 (*.f64 t #s(literal 4 binary64)) #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64)) (-.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 t (-.f64 (*.f64 t #s(literal 4 binary64)) #s(literal -2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 8 binary64) (*.f64 t (*.f64 t t)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))) #s(literal 64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (+.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 t (*.f64 t t))) #s(literal 16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 t (*.f64 t #s(literal 4 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 t (-.f64 (*.f64 t #s(literal 4 binary64)) #s(literal -2 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 2 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 2 binary64)))))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 t (*.f64 t t)) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 t (-.f64 (*.f64 t #s(literal 4 binary64)) #s(literal -2 binary64)))))))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 t t) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal 2 binary64))))))
(*.f64 (+.f64 (*.f64 t (*.f64 t #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 t #s(literal -2 binary64)) #s(literal -1 binary64))))
(*.f64 t #s(literal -2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) t)
(*.f64 (*.f64 t #s(literal -2 binary64)) #s(literal 1 binary64))

simplify143.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
2814×*-lowering-*.f32
2814×*-lowering-*.f64
1564×times-frac
1266×fma-lowering-fma.f32
1266×fma-lowering-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049528
1136488
2425479
31437479
45084479
08227479
Stop Event
1×iter limit
1×node limit
Counts
108 → 108
Calls
Call 1
Inputs
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)))))
(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)
(/ -2/9 t)
(/ (- (* 5/6 t) 2/9) t)
(/ (- (* 5/6 t) 2/9) t)
(/ (- (* 5/6 t) 2/9) t)
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(- 5/6 (* 2/9 (/ 1 t)))
(- 5/6 (* 2/9 (/ 1 t)))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(- 5/6 (* 2/9 (/ 1 t)))
(- 5/6 (* 2/9 (/ 1 t)))
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
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)))))
(pow t 2)
(* (pow t 2) (+ 1 (* -2 t)))
(* (pow t 2) (+ 1 (* -2 t)))
(* (pow t 2) (+ 1 (* -2 t)))
(* -2 (pow t 3))
(* (pow t 3) (- (/ 1 t) 2))
(* (pow t 3) (- (/ 1 t) 2))
(* (pow t 3) (- (/ 1 t) 2))
(* -2 (pow t 3))
(* -1 (* (pow t 3) (- 2 (/ 1 t))))
(* -1 (* (pow t 3) (- 2 (/ 1 t))))
(* -1 (* (pow t 3) (- 2 (/ 1 t))))
t
(* t (+ 1 (* -2 t)))
(* t (+ 1 (* -2 t)))
(* t (+ 1 (* -2 t)))
(* -2 (pow t 2))
(* (pow t 2) (- (/ 1 t) 2))
(* (pow t 2) (- (/ 1 t) 2))
(* (pow t 2) (- (/ 1 t) 2))
(* -2 (pow t 2))
(* (pow t 2) (- (/ 1 t) 2))
(* (pow t 2) (- (/ 1 t) 2))
(* (pow t 2) (- (/ 1 t) 2))
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))))
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
(* -2 t)
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (pow t 2))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+ 1/2 (pow t 2))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+ 1/2 (pow t 2))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(pow t 2)
(*.f64 t t)
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(pow t 2)
(*.f64 t t)
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(+.f64 #s(literal 1/2 binary64) (*.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)
(pow t 2)
(*.f64 t t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ (- (* 5/6 t) 2/9) t)
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(/ (- (* 5/6 t) 2/9) t)
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(/ (- (* 5/6 t) 2/9) t)
(+.f64 #s(literal 5/6 binary64) (/.f64 #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 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #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 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (pow t 2))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(-.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal -1 binary64) (*.f64 t #s(literal 2 binary64))))))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(-.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal -1 binary64) (*.f64 t #s(literal 2 binary64))))))
(* -2 (pow t 3))
(*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 t t)))
(* (pow t 3) (- (/ 1 t) 2))
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (/ 1 t)) 2))
(-.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal -1 binary64) (*.f64 t #s(literal 2 binary64))))))
(* (pow t 3) (- (+ (/ 1/2 (pow t 3)) (/ 1 t)) 2))
(-.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal -1 binary64) (*.f64 t #s(literal 2 binary64))))))
(* -2 (pow t 3))
(*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 t t)))
(* -1 (* (pow t 3) (- 2 (/ 1 t))))
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(* -1 (* (pow t 3) (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t)))))
(-.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal -1 binary64) (*.f64 t #s(literal 2 binary64))))))
(* -1 (* (pow t 3) (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t)))))
(-.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal -1 binary64) (*.f64 t #s(literal 2 binary64))))))
(pow t 2)
(*.f64 t t)
(* (pow t 2) (+ 1 (* -2 t)))
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(* (pow t 2) (+ 1 (* -2 t)))
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(* (pow t 2) (+ 1 (* -2 t)))
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(* -2 (pow t 3))
(*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 t t)))
(* (pow t 3) (- (/ 1 t) 2))
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(* (pow t 3) (- (/ 1 t) 2))
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(* (pow t 3) (- (/ 1 t) 2))
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(* -2 (pow t 3))
(*.f64 #s(literal -2 binary64) (*.f64 t (*.f64 t t)))
(* -1 (* (pow t 3) (- 2 (/ 1 t))))
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(* -1 (* (pow t 3) (- 2 (/ 1 t))))
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(* -1 (* (pow t 3) (- 2 (/ 1 t))))
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
t
(* t (+ 1 (* -2 t)))
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(* t (+ 1 (* -2 t)))
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(* t (+ 1 (* -2 t)))
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(* -2 (pow t 2))
(*.f64 t (*.f64 t #s(literal -2 binary64)))
(* (pow t 2) (- (/ 1 t) 2))
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(* (pow t 2) (- (/ 1 t) 2))
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(* (pow t 2) (- (/ 1 t) 2))
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(* -2 (pow t 2))
(*.f64 t (*.f64 t #s(literal -2 binary64)))
(* (pow t 2) (- (/ 1 t) 2))
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(* (pow t 2) (- (/ 1 t) 2))
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(* (pow t 2) (- (/ 1 t) 2))
(*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -2 t))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(+ 1 (* -2 t))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(+ 1 (* -2 t))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* t (- (/ 1 t) 2))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(* t (- (/ 1 t) 2))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(* t (- (/ 1 t) 2))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* -1 (* t (- 2 (/ 1 t))))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(* -1 (* t (- 2 (/ 1 t))))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(* -1 (* t (- 2 (/ 1 t))))
(+.f64 #s(literal 1 binary64) (*.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))

eval50.0ms (0.7%)

Compiler

Compiled 9959 to 1171 computations (88.2% saved)

prune42.0ms (0.6%)

Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New4372439
Fresh112
Picked055
Done011
Total4389447
Accuracy
100.0%
Counts
447 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶50.2%
(/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) #s(literal -25/36 binary64)) (+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal -5/6 binary64)))
✓100.0%
(/.f64 (+.f64 #s(literal 5 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)))) (+.f64 #s(literal 6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)))))
▶50.5%
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) (+.f64 (*.f64 t t) #s(literal -1/2 binary64)))))
✓51.1%
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
▶51.6%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
✓50.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
✓51.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
✓59.2%
#s(literal 5/6 binary64)
✓59.5%
#s(literal 1/2 binary64)
Compiler

Compiled 114 to 69 computations (39.5% saved)

simplify40.0ms (0.5%)

Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 t t)
✓cost-diff0
(/.f64 #s(literal 4/81 binary64) (*.f64 t t))
✓cost-diff0
(+.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) #s(literal -25/36 binary64))
✓cost-diff0
(/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) #s(literal -25/36 binary64)) (+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal -5/6 binary64)))
✓cost-diff0
(*.f64 t t)
✓cost-diff0
(*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))
✓cost-diff0
(+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t)))))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) (+.f64 (*.f64 t t) #s(literal -1/2 binary64)))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))
✓cost-diff0
(*.f64 t t)
✓cost-diff0
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
Rules
822×fma-define
632×fma-lowering-fma.f32
632×fma-lowering-fma.f64
246×*-lowering-*.f32
246×*-lowering-*.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030160
175140
2186140
3433140
4809140
51006140
61048140
01048140
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ 1/2 (* (* t t) (+ 1 (* t (+ t -2)))))
1/2
(* (* t t) (+ 1 (* t (+ t -2))))
(* t t)
t
(+ 1 (* t (+ t -2)))
1
(* t (+ t -2))
(+ t -2)
-2
(/ (+ 1/8 (* (* t t) (* t (* t (* t t))))) (+ 1/4 (* (* t t) (+ (* t t) -1/2))))
(+ 1/8 (* (* t t) (* t (* t (* t t)))))
1/8
(* (* t t) (* t (* t (* t t))))
(* t t)
t
(* t (* t (* t t)))
(* t (* t t))
(+ 1/4 (* (* t t) (+ (* t t) -1/2)))
1/4
(* (* t t) (+ (* t t) -1/2))
(+ (* t t) -1/2)
-1/2
(/ (+ (/ 4/81 (* t t)) -25/36) (+ (/ -2/9 t) -5/6))
(+ (/ 4/81 (* t t)) -25/36)
(/ 4/81 (* t t))
4/81
(* t t)
t
-25/36
(+ (/ -2/9 t) -5/6)
(/ -2/9 t)
-2/9
-5/6
Outputs
(+ 1/2 (* (* t t) (+ 1 (* t (+ t -2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))))
1/2
#s(literal 1/2 binary64)
(* (* t t) (+ 1 (* t (+ t -2))))
(*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
(* t t)
(*.f64 t t)
t
(+ 1 (* t (+ t -2)))
(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))
1
#s(literal 1 binary64)
(* t (+ t -2))
(*.f64 t (+.f64 t #s(literal -2 binary64)))
(+ t -2)
(+.f64 t #s(literal -2 binary64))
-2
#s(literal -2 binary64)
(/ (+ 1/8 (* (* t t) (* t (* t (* t t))))) (+ 1/4 (* (* t t) (+ (* t t) -1/2))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 t (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) (+.f64 (*.f64 t t) #s(literal -1/2 binary64)))))
(+ 1/8 (* (* t t) (* t (* t (* t t)))))
(+.f64 #s(literal 1/8 binary64) (*.f64 t (*.f64 t (*.f64 t (*.f64 t (*.f64 t t))))))
1/8
#s(literal 1/8 binary64)
(* (* t t) (* t (* t (* t t))))
(*.f64 t (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))))
(* t t)
(*.f64 t t)
t
(* t (* t (* t t)))
(*.f64 t (*.f64 t (*.f64 t t)))
(* t (* t t))
(*.f64 t (*.f64 t t))
(+ 1/4 (* (* t t) (+ (* t t) -1/2)))
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) (+.f64 (*.f64 t t) #s(literal -1/2 binary64))))
1/4
#s(literal 1/4 binary64)
(* (* t t) (+ (* t t) -1/2))
(*.f64 (*.f64 t t) (+.f64 (*.f64 t t) #s(literal -1/2 binary64)))
(+ (* t t) -1/2)
(+.f64 (*.f64 t t) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(/ (+ (/ 4/81 (* t t)) -25/36) (+ (/ -2/9 t) -5/6))
(/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) #s(literal -25/36 binary64)) (+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal -5/6 binary64)))
(+ (/ 4/81 (* t t)) -25/36)
(+.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) #s(literal -25/36 binary64))
(/ 4/81 (* t t))
(/.f64 #s(literal 4/81 binary64) (*.f64 t t))
4/81
#s(literal 4/81 binary64)
(* t t)
(*.f64 t t)
t
-25/36
#s(literal -25/36 binary64)
(+ (/ -2/9 t) -5/6)
(+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal -5/6 binary64))
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
-2/9
#s(literal -2/9 binary64)
-5/6
#s(literal -5/6 binary64)

localize114.0ms (1.5%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal -5/6 binary64))
✓accuracy99.5%
(/.f64 #s(literal -2/9 binary64) t)
✓accuracy98.8%
(/.f64 #s(literal 4/81 binary64) (*.f64 t t))
✓accuracy73.8%
(/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) #s(literal -25/36 binary64)) (+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal -5/6 binary64)))
✓accuracy99.9%
(*.f64 t (*.f64 t (*.f64 t t)))
✓accuracy99.9%
(*.f64 (*.f64 t t) (+.f64 (*.f64 t t) #s(literal -1/2 binary64)))
✓accuracy99.9%
(*.f64 t (*.f64 t t))
✓accuracy63.4%
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) (+.f64 (*.f64 t t) #s(literal -1/2 binary64)))))
✓accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
✓accuracy100.0%
(*.f64 t t)
✓accuracy100.0%
(*.f64 t (+.f64 t #s(literal -2 binary64)))
✓accuracy99.9%
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))
Results
79.0ms256×0valid
Compiler

Compiled 182 to 31 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 14.0ms (30.6% of total)
...c/correct-round.rkt:119:19: 14.0ms (30.6% of total)
ival-add: 10.0ms (21.9% of total)
ival-div: 7.0ms (15.3% of total)
const: 1.0ms (2.2% of total)
backward-pass: 0.0ms (0% of total)

series9.0ms (0.1%)

Counts
16 → 192
Calls
Call 1
Inputs
#<alt (+ 1/2 (* (* t t) (+ 1 (* t (+ t -2)))))>
#<alt (* (* t t) (+ 1 (* t (+ t -2))))>
#<alt (* t t)>
#<alt (+ 1 (* t (+ t -2)))>
#<alt (/ (+ 1/8 (* (* t t) (* t (* t (* t t))))) (+ 1/4 (* (* t t) (+ (* t t) -1/2))))>
#<alt (+ 1/8 (* (* t t) (* t (* t (* t t)))))>
#<alt (* (* t t) (* t (* t (* t t))))>
#<alt (/ (+ (/ 4/81 (* t t)) -25/36) (+ (/ -2/9 t) -5/6))>
#<alt (+ (/ 4/81 (* t t)) -25/36)>
#<alt (/ 4/81 (* t t))>
#<alt (* t (+ t -2))>
#<alt (* t (* t t))>
#<alt (* (* t t) (+ (* t t) -1/2))>
#<alt (* t (* t (* t t)))>
#<alt (/ -2/9 t)>
#<alt (+ (/ -2/9 t) -5/6)>
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 (pow t 4)>
#<alt (* (pow t 4) (- 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 4) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))>
#<alt (* (pow t 4) (- (+ 1 (+ (/ 1 (pow t 2)) (* 1/2 (/ 1 (pow t 4))))) (* 2 (/ 1 t))))>
#<alt (pow t 4)>
#<alt (* (pow t 4) (- 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 4) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))>
#<alt (* (pow t 4) (+ 1 (* -1 (/ (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t))) t))))>
#<alt (pow t 2)>
#<alt (* (pow t 2) (+ 1 (* -2 t)))>
#<alt (* (pow t 2) (+ 1 (* t (- t 2))))>
#<alt (* (pow t 2) (+ 1 (* t (- t 2))))>
#<alt (pow t 4)>
#<alt (* (pow t 4) (- 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 4) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))>
#<alt (* (pow t 4) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))>
#<alt (pow t 4)>
#<alt (* (pow t 4) (- 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 4) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))>
#<alt (* (pow t 4) (+ 1 (* -1 (/ (- 2 (/ 1 t)) 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>
#<alt (+ 1 (* -2 t))>
#<alt (+ 1 (* t (- t 2)))>
#<alt (+ 1 (* t (- t 2)))>
#<alt (pow t 2)>
#<alt (* (pow t 2) (- 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 2) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))>
#<alt (* (pow t 2) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))>
#<alt (pow t 2)>
#<alt (* (pow t 2) (- 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 2) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))>
#<alt (* (pow t 2) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))>
#<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 1/8>
#<alt (+ 1/8 (pow t 6))>
#<alt (+ 1/8 (pow t 6))>
#<alt (+ 1/8 (pow t 6))>
#<alt (pow t 6)>
#<alt (* (pow t 6) (+ 1 (* 1/8 (/ 1 (pow t 6)))))>
#<alt (* (pow t 6) (+ 1 (* 1/8 (/ 1 (pow t 6)))))>
#<alt (* (pow t 6) (+ 1 (* 1/8 (/ 1 (pow t 6)))))>
#<alt (pow t 6)>
#<alt (* (pow t 6) (+ 1 (* 1/8 (/ 1 (pow t 6)))))>
#<alt (* (pow t 6) (+ 1 (* 1/8 (/ 1 (pow t 6)))))>
#<alt (* (pow t 6) (+ 1 (* 1/8 (/ 1 (pow t 6)))))>
#<alt (pow t 6)>
#<alt (pow t 6)>
#<alt (pow t 6)>
#<alt (pow t 6)>
#<alt (pow t 6)>
#<alt (pow t 6)>
#<alt (pow t 6)>
#<alt (pow t 6)>
#<alt (pow t 6)>
#<alt (pow t 6)>
#<alt (pow t 6)>
#<alt (pow t 6)>
#<alt (/ -2/9 t)>
#<alt (/ (- (* 5/6 t) 2/9) t)>
#<alt (/ (- (* 5/6 t) 2/9) t)>
#<alt (/ (- (* 5/6 t) 2/9) t)>
#<alt 5/6>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt 5/6>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (/ 4/81 (pow t 2))>
#<alt (/ (+ 4/81 (* -25/36 (pow t 2))) (pow t 2))>
#<alt (/ (+ 4/81 (* -25/36 (pow t 2))) (pow t 2))>
#<alt (/ (+ 4/81 (* -25/36 (pow t 2))) (pow t 2))>
#<alt -25/36>
#<alt (- (* 4/81 (/ 1 (pow t 2))) 25/36)>
#<alt (- (* 4/81 (/ 1 (pow t 2))) 25/36)>
#<alt (- (* 4/81 (/ 1 (pow t 2))) 25/36)>
#<alt -25/36>
#<alt (- (* 4/81 (/ 1 (pow t 2))) 25/36)>
#<alt (- (* 4/81 (/ 1 (pow t 2))) 25/36)>
#<alt (- (* 4/81 (/ 1 (pow t 2))) 25/36)>
#<alt (/ 4/81 (pow t 2))>
#<alt (/ 4/81 (pow t 2))>
#<alt (/ 4/81 (pow t 2))>
#<alt (/ 4/81 (pow t 2))>
#<alt (/ 4/81 (pow t 2))>
#<alt (/ 4/81 (pow t 2))>
#<alt (/ 4/81 (pow t 2))>
#<alt (/ 4/81 (pow t 2))>
#<alt (/ 4/81 (pow t 2))>
#<alt (/ 4/81 (pow t 2))>
#<alt (/ 4/81 (pow t 2))>
#<alt (/ 4/81 (pow t 2))>
#<alt (* -2 t)>
#<alt (* t (- t 2))>
#<alt (* t (- t 2))>
#<alt (* t (- t 2))>
#<alt (pow t 2)>
#<alt (* (pow t 2) (- 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 2) (- 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 2) (- 1 (* 2 (/ 1 t))))>
#<alt (pow t 2)>
#<alt (* (pow t 2) (- 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 2) (- 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 2) (- 1 (* 2 (/ 1 t))))>
#<alt (pow t 3)>
#<alt (pow t 3)>
#<alt (pow t 3)>
#<alt (pow t 3)>
#<alt (pow t 3)>
#<alt (pow t 3)>
#<alt (pow t 3)>
#<alt (pow t 3)>
#<alt (pow t 3)>
#<alt (pow t 3)>
#<alt (pow t 3)>
#<alt (pow t 3)>
#<alt (* -1/2 (pow t 2))>
#<alt (* (pow t 2) (- (pow t 2) 1/2))>
#<alt (* (pow t 2) (- (pow t 2) 1/2))>
#<alt (* (pow t 2) (- (pow t 2) 1/2))>
#<alt (pow t 4)>
#<alt (* (pow t 4) (- 1 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 4) (- 1 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 4) (- 1 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (pow t 4)>
#<alt (* (pow t 4) (- 1 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 4) (- 1 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (* (pow t 4) (- 1 (* 1/2 (/ 1 (pow t 2)))))>
#<alt (pow t 4)>
#<alt (pow t 4)>
#<alt (pow t 4)>
#<alt (pow t 4)>
#<alt (pow t 4)>
#<alt (pow t 4)>
#<alt (pow t 4)>
#<alt (pow t 4)>
#<alt (pow t 4)>
#<alt (pow t 4)>
#<alt (pow t 4)>
#<alt (pow t 4)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ (- (* -5/6 t) 2/9) t)>
#<alt (/ (- (* -5/6 t) 2/9) t)>
#<alt (/ (- (* -5/6 t) 2/9) t)>
#<alt -5/6>
#<alt (* -1 (+ 5/6 (* 2/9 (/ 1 t))))>
#<alt (* -1 (+ 5/6 (* 2/9 (/ 1 t))))>
#<alt (* -1 (+ 5/6 (* 2/9 (/ 1 t))))>
#<alt -5/6>
#<alt (* -1 (+ 5/6 (* 2/9 (/ 1 t))))>
#<alt (* -1 (+ 5/6 (* 2/9 (/ 1 t))))>
#<alt (* -1 (+ 5/6 (* 2/9 (/ 1 t))))>
Calls

48 calls:

TimeVariablePointExpression
1.0ms
t
@0
(/ (+ 1/8 (* (* t t) (* t (* t (* t t))))) (+ 1/4 (* (* t t) (+ (* t t) -1/2))))
1.0ms
t
@inf
(/ (+ 1/8 (* (* t t) (* t (* t (* t t))))) (+ 1/4 (* (* t t) (+ (* t t) -1/2))))
1.0ms
t
@0
(/ (+ (/ 4/81 (* t t)) -25/36) (+ (/ -2/9 t) -5/6))
0.0ms
t
@inf
(+ 1/2 (* (* t t) (+ 1 (* t (+ t -2)))))
0.0ms
t
@-inf
(* t (* t t))

rewrite309.0ms (4.1%)

Algorithm
1×batch-egg-rewrite
Rules
3520×/-lowering-/.f32
3520×/-lowering-/.f64
3480×*-lowering-*.f32
3480×*-lowering-*.f64
1774×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030124
120896
2183696
0827596
Stop Event
1×iter limit
1×node limit
Counts
16 → 510
Calls
Call 1
Inputs
(+ 1/2 (* (* t t) (+ 1 (* t (+ t -2)))))
(* (* t t) (+ 1 (* t (+ t -2))))
(* t t)
(+ 1 (* t (+ t -2)))
(/ (+ 1/8 (* (* t t) (* t (* t (* t t))))) (+ 1/4 (* (* t t) (+ (* t t) -1/2))))
(+ 1/8 (* (* t t) (* t (* t (* t t)))))
(* (* t t) (* t (* t (* t t))))
(/ (+ (/ 4/81 (* t t)) -25/36) (+ (/ -2/9 t) -5/6))
(+ (/ 4/81 (* t t)) -25/36)
(/ 4/81 (* t t))
(* t (+ t -2))
(* t (* t t))
(* (* t t) (+ (* t t) -1/2))
(* t (* t (* t t)))
(/ -2/9 t)
(+ (/ -2/9 t) -5/6)
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
(+.f64 (*.f64 t t) (+.f64 (*.f64 (*.f64 t t) (*.f64 t (+.f64 t #s(literal -2 binary64)))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) #s(literal 1/2 binary64))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t (+.f64 t #s(literal -2 binary64)))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))) (/.f64 (*.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))) (-.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) #s(literal 1/2 binary64))))
(fma.f64 t t (+.f64 (*.f64 (*.f64 t t) (*.f64 t (+.f64 t #s(literal -2 binary64)))) #s(literal 1/2 binary64)))
(fma.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) #s(literal 1/2 binary64))
(fma.f64 t (*.f64 t #s(literal 1 binary64)) (+.f64 (*.f64 (*.f64 t t) (*.f64 t (+.f64 t #s(literal -2 binary64)))) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 t t) #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 t t) (*.f64 t (+.f64 t #s(literal -2 binary64)))) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 t t) (+.f64 (*.f64 (*.f64 t t) (*.f64 t (+.f64 t #s(literal -2 binary64)))) #s(literal 1/2 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))) (*.f64 t t) #s(literal 1/2 binary64))
(fma.f64 (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) t #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) t) t (+.f64 (*.f64 (*.f64 t t) (*.f64 t (+.f64 t #s(literal -2 binary64)))) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) (-.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) (*.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) (*.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) (-.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) #s(literal 1/2 binary64)))))
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) (*.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))))) (+.f64 (*.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) (-.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) (*.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) (*.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) (-.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) (*.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))))) (neg.f64 (+.f64 (*.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))) (*.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))))) (*.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) (*.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) (-.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) #s(literal 1/2 binary64))))
(pow.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) (-.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) #s(literal 1/2 binary64)))) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) (*.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) (*.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) (-.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) #s(literal 1/2 binary64))))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))))
(+.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t (+.f64 t #s(literal -2 binary64)))))
(+.f64 (*.f64 (*.f64 t t) (*.f64 t (+.f64 t #s(literal -2 binary64)))) (*.f64 t t))
(-.f64 (/.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t (+.f64 t #s(literal -2 binary64)))))) (/.f64 (*.f64 (*.f64 (*.f64 t t) (*.f64 t (+.f64 t #s(literal -2 binary64)))) (*.f64 (*.f64 t t) (*.f64 t (+.f64 t #s(literal -2 binary64))))) (-.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t (+.f64 t #s(literal -2 binary64)))))))
(fma.f64 t t (*.f64 (*.f64 t t) (*.f64 t (+.f64 t #s(literal -2 binary64)))))
(fma.f64 t (*.f64 t #s(literal 1 binary64)) (*.f64 (*.f64 t t) (*.f64 t (+.f64 t #s(literal -2 binary64)))))
(fma.f64 t (*.f64 t (*.f64 t (+.f64 t #s(literal -2 binary64)))) (*.f64 t t))
(fma.f64 t (*.f64 (+.f64 t #s(literal -2 binary64)) (*.f64 t t)) (*.f64 t t))
(fma.f64 (*.f64 t t) #s(literal 1 binary64) (*.f64 (*.f64 t t) (*.f64 t (+.f64 t #s(literal -2 binary64)))))
(fma.f64 (*.f64 t t) (*.f64 t (+.f64 t #s(literal -2 binary64))) (*.f64 t t))
(fma.f64 #s(literal 1 binary64) (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t (+.f64 t #s(literal -2 binary64)))))
(fma.f64 (+.f64 t #s(literal -2 binary64)) (*.f64 t (*.f64 t t)) (*.f64 t t))
(fma.f64 (*.f64 t (+.f64 t #s(literal -2 binary64))) (*.f64 t t) (*.f64 t t))
(fma.f64 (*.f64 t (*.f64 t t)) (+.f64 t #s(literal -2 binary64)) (*.f64 t t))
(fma.f64 (*.f64 #s(literal 1 binary64) t) t (*.f64 (*.f64 t t) (*.f64 t (+.f64 t #s(literal -2 binary64)))))
(fma.f64 (*.f64 (*.f64 t (+.f64 t #s(literal -2 binary64))) t) t (*.f64 t t))
(fma.f64 (*.f64 (*.f64 t t) (+.f64 t #s(literal -2 binary64))) t (*.f64 t t))
(/.f64 (+.f64 (*.f64 t (*.f64 t (*.f64 t (*.f64 t (*.f64 t t))))) (*.f64 (*.f64 (+.f64 t #s(literal -2 binary64)) (*.f64 (+.f64 t #s(literal -2 binary64)) (+.f64 t #s(literal -2 binary64)))) (*.f64 (*.f64 t (*.f64 t t)) (*.f64 t (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))))))) (+.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 (*.f64 (*.f64 (*.f64 t t) (*.f64 t (+.f64 t #s(literal -2 binary64)))) (*.f64 (*.f64 t t) (*.f64 t (+.f64 t #s(literal -2 binary64))))) (*.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t (+.f64 t #s(literal -2 binary64))))))))
(/.f64 (-.f64 (*.f64 t (*.f64 t (*.f64 t t))) (*.f64 (*.f64 (*.f64 t t) (*.f64 t (+.f64 t #s(literal -2 binary64)))) (*.f64 (*.f64 t t) (*.f64 t (+.f64 t #s(literal -2 binary64)))))) (-.f64 (*.f64 t t) (*.f64 (*.f64 t t) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
(/.f64 (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (+.f64 t #s(literal -2 binary64))) (*.f64 t (*.f64 (+.f64 t #s(literal -2 binary64)) (*.f64 t (+.f64 t #s(literal -2 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 t (+.f64 t #s(literal -2 binary64))) (-.f64 (*.f64 t (+.f64 t #s(literal -2 binary64))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (*.f64 t t) (-.f64 #s(literal 1 binary64) (*.f64 t (*.f64 (+.f64 t #s(literal -2 binary64)) (*.f64 t (+.f64 t #s(literal -2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))
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(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) (+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal 5/6 binary64))) (*.f64 (+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal 5/6 binary64)) #s(literal 25/36 binary64))) (*.f64 (+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal 5/6 binary64)) (+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal 5/6 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal -8/729 binary64) (*.f64 t (*.f64 t t))) #s(literal -125/216 binary64)))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) (-.f64 #s(literal 25/36 binary64) (/.f64 #s(literal 5/27 binary64) t))))))
(/.f64 (neg.f64 (-.f64 #s(literal 25/36 binary64) (/.f64 #s(literal 4/81 binary64) (*.f64 t t)))) (neg.f64 (-.f64 #s(literal -5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))))
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) (-.f64 #s(literal 25/36 binary64) (/.f64 #s(literal 5/27 binary64) t))) (+.f64 (/.f64 #s(literal -8/729 binary64) (*.f64 t (*.f64 t t))) #s(literal -125/216 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal 5/6 binary64)) (+.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) #s(literal -25/36 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) #s(literal -25/36 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal 5/6 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal -8/729 binary64) (*.f64 t (*.f64 t t))) #s(literal -125/216 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) (-.f64 #s(literal 25/36 binary64) (/.f64 #s(literal 5/27 binary64) t)))))
(*.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) #s(literal 25/36 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) #s(literal 25/36 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal -5/6 binary64)))))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 64/531441 binary64) (*.f64 t (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))))) #s(literal -15625/46656 binary64)) (+.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) #s(literal -25/36 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 16/6561 binary64) (*.f64 t (*.f64 t (*.f64 t t)))) (-.f64 #s(literal 625/1296 binary64) (/.f64 #s(literal -25/729 binary64) (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal -5/6 binary64)))))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 64/531441 binary64) (*.f64 t (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))))) #s(literal -15625/46656 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 16/6561 binary64) (*.f64 t (*.f64 t (*.f64 t t)))) (-.f64 #s(literal 625/1296 binary64) (/.f64 #s(literal -25/729 binary64) (*.f64 t t))))) (+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal 5/6 binary64))))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 64/531441 binary64) (*.f64 t (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))))) #s(literal -15625/46656 binary64)) (+.f64 #s(literal 25/36 binary64) (neg.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 16/6561 binary64) (*.f64 t (*.f64 t (*.f64 t t)))) (-.f64 #s(literal 625/1296 binary64) (/.f64 #s(literal -25/729 binary64) (*.f64 t t))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal -5/6 binary64))))))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 64/531441 binary64) (*.f64 t (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))))) #s(literal -15625/46656 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal -5/6 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 16/6561 binary64) (*.f64 t (*.f64 t (*.f64 t t)))) (-.f64 #s(literal 625/1296 binary64) (/.f64 #s(literal -25/729 binary64) (*.f64 t t))))) (+.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) #s(literal -25/36 binary64))))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 64/531441 binary64) (*.f64 t (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))))) #s(literal -15625/46656 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) #s(literal -25/36 binary64)) (+.f64 (/.f64 #s(literal -8/729 binary64) (*.f64 t (*.f64 t t))) #s(literal -125/216 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 16/6561 binary64) (*.f64 t (*.f64 t (*.f64 t t)))) (-.f64 #s(literal 625/1296 binary64) (/.f64 #s(literal -25/729 binary64) (*.f64 t t))))) (+.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) (-.f64 #s(literal 25/36 binary64) (/.f64 #s(literal 5/27 binary64) t)))))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 64/531441 binary64) (*.f64 t (*.f64 t (*.f64 t (*.f64 t (*.f64 t t)))))) #s(literal -15625/46656 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) #s(literal -25/36 binary64)) (+.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) #s(literal -25/36 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 16/6561 binary64) (*.f64 t (*.f64 t (*.f64 t t)))) (-.f64 #s(literal 625/1296 binary64) (/.f64 #s(literal -25/729 binary64) (*.f64 t t))))) (+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal 5/6 binary64))))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 16/6561 binary64) (*.f64 t (*.f64 t (*.f64 t t)))) #s(literal -625/1296 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) #s(literal 25/36 binary64))) (+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal 5/6 binary64))))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 16/6561 binary64) (*.f64 t (*.f64 t (*.f64 t t)))) #s(literal -625/1296 binary64)) (+.f64 #s(literal 25/36 binary64) (neg.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) #s(literal 25/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal -5/6 binary64))))))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 16/6561 binary64) (*.f64 t (*.f64 t (*.f64 t t)))) #s(literal -625/1296 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal -5/6 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) #s(literal 25/36 binary64))) (+.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) #s(literal -25/36 binary64))))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 16/6561 binary64) (*.f64 t (*.f64 t (*.f64 t t)))) #s(literal -625/1296 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) #s(literal -25/36 binary64)) (+.f64 (/.f64 #s(literal -8/729 binary64) (*.f64 t (*.f64 t t))) #s(literal -125/216 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) #s(literal 25/36 binary64))) (+.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) (-.f64 #s(literal 25/36 binary64) (/.f64 #s(literal 5/27 binary64) t)))))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 16/6561 binary64) (*.f64 t (*.f64 t (*.f64 t t)))) #s(literal -625/1296 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) #s(literal -25/36 binary64)) (+.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) #s(literal -25/36 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) #s(literal 25/36 binary64))) (+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal 5/6 binary64))))

simplify254.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
1642×sum4-define
1590×*-lowering-*.f32
1590×*-lowering-*.f64
1588×fma-lowering-fma.f32
1588×fma-lowering-fma.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0911047
12531008
2684982
31885917
44776917
08034917
Stop Event
1×iter limit
1×node limit
Counts
192 → 192
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)))))
(pow t 4)
(* (pow t 4) (- 1 (* 2 (/ 1 t))))
(* (pow t 4) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(* (pow t 4) (- (+ 1 (+ (/ 1 (pow t 2)) (* 1/2 (/ 1 (pow t 4))))) (* 2 (/ 1 t))))
(pow t 4)
(* (pow t 4) (- 1 (* 2 (/ 1 t))))
(* (pow t 4) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))
(* (pow t 4) (+ 1 (* -1 (/ (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t))) t))))
(pow t 2)
(* (pow t 2) (+ 1 (* -2 t)))
(* (pow t 2) (+ 1 (* t (- t 2))))
(* (pow t 2) (+ 1 (* t (- t 2))))
(pow t 4)
(* (pow t 4) (- 1 (* 2 (/ 1 t))))
(* (pow t 4) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(* (pow t 4) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(pow t 4)
(* (pow t 4) (- 1 (* 2 (/ 1 t))))
(* (pow t 4) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))
(* (pow t 4) (+ 1 (* -1 (/ (- 2 (/ 1 t)) 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
(+ 1 (* -2 t))
(+ 1 (* t (- t 2)))
(+ 1 (* t (- t 2)))
(pow t 2)
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(* (pow t 2) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(* (pow t 2) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(pow t 2)
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(* (pow t 2) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))
(* (pow t 2) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))
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)))))
1/8
(+ 1/8 (pow t 6))
(+ 1/8 (pow t 6))
(+ 1/8 (pow t 6))
(pow t 6)
(* (pow t 6) (+ 1 (* 1/8 (/ 1 (pow t 6)))))
(* (pow t 6) (+ 1 (* 1/8 (/ 1 (pow t 6)))))
(* (pow t 6) (+ 1 (* 1/8 (/ 1 (pow t 6)))))
(pow t 6)
(* (pow t 6) (+ 1 (* 1/8 (/ 1 (pow t 6)))))
(* (pow t 6) (+ 1 (* 1/8 (/ 1 (pow t 6)))))
(* (pow t 6) (+ 1 (* 1/8 (/ 1 (pow t 6)))))
(pow t 6)
(pow t 6)
(pow t 6)
(pow t 6)
(pow t 6)
(pow t 6)
(pow t 6)
(pow t 6)
(pow t 6)
(pow t 6)
(pow t 6)
(pow t 6)
(/ -2/9 t)
(/ (- (* 5/6 t) 2/9) t)
(/ (- (* 5/6 t) 2/9) t)
(/ (- (* 5/6 t) 2/9) t)
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(- 5/6 (* 2/9 (/ 1 t)))
(- 5/6 (* 2/9 (/ 1 t)))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(- 5/6 (* 2/9 (/ 1 t)))
(- 5/6 (* 2/9 (/ 1 t)))
(/ 4/81 (pow t 2))
(/ (+ 4/81 (* -25/36 (pow t 2))) (pow t 2))
(/ (+ 4/81 (* -25/36 (pow t 2))) (pow t 2))
(/ (+ 4/81 (* -25/36 (pow t 2))) (pow t 2))
-25/36
(- (* 4/81 (/ 1 (pow t 2))) 25/36)
(- (* 4/81 (/ 1 (pow t 2))) 25/36)
(- (* 4/81 (/ 1 (pow t 2))) 25/36)
-25/36
(- (* 4/81 (/ 1 (pow t 2))) 25/36)
(- (* 4/81 (/ 1 (pow t 2))) 25/36)
(- (* 4/81 (/ 1 (pow t 2))) 25/36)
(/ 4/81 (pow t 2))
(/ 4/81 (pow t 2))
(/ 4/81 (pow t 2))
(/ 4/81 (pow t 2))
(/ 4/81 (pow t 2))
(/ 4/81 (pow t 2))
(/ 4/81 (pow t 2))
(/ 4/81 (pow t 2))
(/ 4/81 (pow t 2))
(/ 4/81 (pow t 2))
(/ 4/81 (pow t 2))
(/ 4/81 (pow t 2))
(* -2 t)
(* t (- t 2))
(* t (- t 2))
(* t (- t 2))
(pow t 2)
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(pow t 2)
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(pow t 3)
(pow t 3)
(pow t 3)
(pow t 3)
(pow t 3)
(pow t 3)
(pow t 3)
(pow t 3)
(pow t 3)
(pow t 3)
(pow t 3)
(pow t 3)
(* -1/2 (pow t 2))
(* (pow t 2) (- (pow t 2) 1/2))
(* (pow t 2) (- (pow t 2) 1/2))
(* (pow t 2) (- (pow t 2) 1/2))
(pow t 4)
(* (pow t 4) (- 1 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 4) (- 1 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 4) (- 1 (* 1/2 (/ 1 (pow t 2)))))
(pow t 4)
(* (pow t 4) (- 1 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 4) (- 1 (* 1/2 (/ 1 (pow t 2)))))
(* (pow t 4) (- 1 (* 1/2 (/ 1 (pow t 2)))))
(pow t 4)
(pow t 4)
(pow t 4)
(pow t 4)
(pow t 4)
(pow t 4)
(pow t 4)
(pow t 4)
(pow t 4)
(pow t 4)
(pow t 4)
(pow t 4)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ (- (* -5/6 t) 2/9) t)
(/ (- (* -5/6 t) 2/9) t)
(/ (- (* -5/6 t) 2/9) t)
-5/6
(* -1 (+ 5/6 (* 2/9 (/ 1 t))))
(* -1 (+ 5/6 (* 2/9 (/ 1 t))))
(* -1 (+ 5/6 (* 2/9 (/ 1 t))))
-5/6
(* -1 (+ 5/6 (* 2/9 (/ 1 t))))
(* -1 (+ 5/6 (* 2/9 (/ 1 t))))
(* -1 (+ 5/6 (* 2/9 (/ 1 t))))
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (pow t 2))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
(pow t 4)
(*.f64 t (*.f64 t (*.f64 t t)))
(* (pow t 4) (- 1 (* 2 (/ 1 t))))
(*.f64 (+.f64 t #s(literal -2 binary64)) (*.f64 t (*.f64 t t)))
(* (pow t 4) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)))
(* (pow t 4) (- (+ 1 (+ (/ 1 (pow t 2)) (* 1/2 (/ 1 (pow t 4))))) (* 2 (/ 1 t))))
(*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)) (/.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (*.f64 t t))))))
(pow t 4)
(*.f64 t (*.f64 t (*.f64 t t)))
(* (pow t 4) (- 1 (* 2 (/ 1 t))))
(*.f64 (+.f64 t #s(literal -2 binary64)) (*.f64 t (*.f64 t t)))
(* (pow t 4) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))
(*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)))
(* (pow t 4) (+ 1 (* -1 (/ (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t))) t))))
(*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))) t)) t)))
(pow t 2)
(*.f64 t t)
(* (pow t 2) (+ 1 (* -2 t)))
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))
(* (pow t 2) (+ 1 (* t (- t 2))))
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))
(* (pow t 2) (+ 1 (* t (- t 2))))
(*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))
(pow t 4)
(*.f64 t (*.f64 t (*.f64 t t)))
(* (pow t 4) (- 1 (* 2 (/ 1 t))))
(*.f64 (+.f64 t #s(literal -2 binary64)) (*.f64 t (*.f64 t t)))
(* (pow t 4) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)))
(* (pow t 4) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)))
(pow t 4)
(*.f64 t (*.f64 t (*.f64 t t)))
(* (pow t 4) (- 1 (* 2 (/ 1 t))))
(*.f64 (+.f64 t #s(literal -2 binary64)) (*.f64 t (*.f64 t t)))
(* (pow t 4) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))
(*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)))
(* (pow t 4) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))
(*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) 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)
(pow t 2)
(*.f64 t t)
1
#s(literal 1 binary64)
(+ 1 (* -2 t))
(+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))
(+ 1 (* t (- t 2)))
(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))
(+ 1 (* t (- t 2)))
(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 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 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))
(* (pow t 2) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 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 (* -1 (/ (- 2 (/ 1 t)) t))))
(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))
(* (pow t 2) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))
(+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (pow t 2))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+ 1/2 (pow t 2))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+ 1/2 (pow t 2))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(pow t 2)
(*.f64 t t)
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(pow t 2)
(*.f64 t t)
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(* (pow t 2) (+ 1 (* 1/2 (/ 1 (pow t 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
1/8
#s(literal 1/8 binary64)
(+ 1/8 (pow t 6))
(+.f64 #s(literal 1/8 binary64) (pow.f64 t #s(literal 6 binary64)))
(+ 1/8 (pow t 6))
(+.f64 #s(literal 1/8 binary64) (pow.f64 t #s(literal 6 binary64)))
(+ 1/8 (pow t 6))
(+.f64 #s(literal 1/8 binary64) (pow.f64 t #s(literal 6 binary64)))
(pow t 6)
(pow.f64 t #s(literal 6 binary64))
(* (pow t 6) (+ 1 (* 1/8 (/ 1 (pow t 6)))))
(+.f64 #s(literal 1/8 binary64) (pow.f64 t #s(literal 6 binary64)))
(* (pow t 6) (+ 1 (* 1/8 (/ 1 (pow t 6)))))
(+.f64 #s(literal 1/8 binary64) (pow.f64 t #s(literal 6 binary64)))
(* (pow t 6) (+ 1 (* 1/8 (/ 1 (pow t 6)))))
(+.f64 #s(literal 1/8 binary64) (pow.f64 t #s(literal 6 binary64)))
(pow t 6)
(pow.f64 t #s(literal 6 binary64))
(* (pow t 6) (+ 1 (* 1/8 (/ 1 (pow t 6)))))
(+.f64 #s(literal 1/8 binary64) (pow.f64 t #s(literal 6 binary64)))
(* (pow t 6) (+ 1 (* 1/8 (/ 1 (pow t 6)))))
(+.f64 #s(literal 1/8 binary64) (pow.f64 t #s(literal 6 binary64)))
(* (pow t 6) (+ 1 (* 1/8 (/ 1 (pow t 6)))))
(+.f64 #s(literal 1/8 binary64) (pow.f64 t #s(literal 6 binary64)))
(pow t 6)
(pow.f64 t #s(literal 6 binary64))
(pow t 6)
(pow.f64 t #s(literal 6 binary64))
(pow t 6)
(pow.f64 t #s(literal 6 binary64))
(pow t 6)
(pow.f64 t #s(literal 6 binary64))
(pow t 6)
(pow.f64 t #s(literal 6 binary64))
(pow t 6)
(pow.f64 t #s(literal 6 binary64))
(pow t 6)
(pow.f64 t #s(literal 6 binary64))
(pow t 6)
(pow.f64 t #s(literal 6 binary64))
(pow t 6)
(pow.f64 t #s(literal 6 binary64))
(pow t 6)
(pow.f64 t #s(literal 6 binary64))
(pow t 6)
(pow.f64 t #s(literal 6 binary64))
(pow t 6)
(pow.f64 t #s(literal 6 binary64))
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ (- (* 5/6 t) 2/9) t)
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(/ (- (* 5/6 t) 2/9) t)
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(/ (- (* 5/6 t) 2/9) t)
(+.f64 #s(literal 5/6 binary64) (/.f64 #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 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #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 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(- 5/6 (* 2/9 (/ 1 t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(/ 4/81 (pow t 2))
(/.f64 #s(literal 4/81 binary64) (*.f64 t t))
(/ (+ 4/81 (* -25/36 (pow t 2))) (pow t 2))
(/.f64 (+.f64 #s(literal 4/81 binary64) (*.f64 (*.f64 t t) #s(literal -25/36 binary64))) (*.f64 t t))
(/ (+ 4/81 (* -25/36 (pow t 2))) (pow t 2))
(/.f64 (+.f64 #s(literal 4/81 binary64) (*.f64 (*.f64 t t) #s(literal -25/36 binary64))) (*.f64 t t))
(/ (+ 4/81 (* -25/36 (pow t 2))) (pow t 2))
(/.f64 (+.f64 #s(literal 4/81 binary64) (*.f64 (*.f64 t t) #s(literal -25/36 binary64))) (*.f64 t t))
-25/36
#s(literal -25/36 binary64)
(- (* 4/81 (/ 1 (pow t 2))) 25/36)
(+.f64 #s(literal -25/36 binary64) (/.f64 #s(literal 4/81 binary64) (*.f64 t t)))
(- (* 4/81 (/ 1 (pow t 2))) 25/36)
(+.f64 #s(literal -25/36 binary64) (/.f64 #s(literal 4/81 binary64) (*.f64 t t)))
(- (* 4/81 (/ 1 (pow t 2))) 25/36)
(+.f64 #s(literal -25/36 binary64) (/.f64 #s(literal 4/81 binary64) (*.f64 t t)))
-25/36
#s(literal -25/36 binary64)
(- (* 4/81 (/ 1 (pow t 2))) 25/36)
(+.f64 #s(literal -25/36 binary64) (/.f64 #s(literal 4/81 binary64) (*.f64 t t)))
(- (* 4/81 (/ 1 (pow t 2))) 25/36)
(+.f64 #s(literal -25/36 binary64) (/.f64 #s(literal 4/81 binary64) (*.f64 t t)))
(- (* 4/81 (/ 1 (pow t 2))) 25/36)
(+.f64 #s(literal -25/36 binary64) (/.f64 #s(literal 4/81 binary64) (*.f64 t t)))
(/ 4/81 (pow t 2))
(/.f64 #s(literal 4/81 binary64) (*.f64 t t))
(/ 4/81 (pow t 2))
(/.f64 #s(literal 4/81 binary64) (*.f64 t t))
(/ 4/81 (pow t 2))
(/.f64 #s(literal 4/81 binary64) (*.f64 t t))
(/ 4/81 (pow t 2))
(/.f64 #s(literal 4/81 binary64) (*.f64 t t))
(/ 4/81 (pow t 2))
(/.f64 #s(literal 4/81 binary64) (*.f64 t t))
(/ 4/81 (pow t 2))
(/.f64 #s(literal 4/81 binary64) (*.f64 t t))
(/ 4/81 (pow t 2))
(/.f64 #s(literal 4/81 binary64) (*.f64 t t))
(/ 4/81 (pow t 2))
(/.f64 #s(literal 4/81 binary64) (*.f64 t t))
(/ 4/81 (pow t 2))
(/.f64 #s(literal 4/81 binary64) (*.f64 t t))
(/ 4/81 (pow t 2))
(/.f64 #s(literal 4/81 binary64) (*.f64 t t))
(/ 4/81 (pow t 2))
(/.f64 #s(literal 4/81 binary64) (*.f64 t t))
(/ 4/81 (pow t 2))
(/.f64 #s(literal 4/81 binary64) (*.f64 t t))
(* -2 t)
(*.f64 t #s(literal -2 binary64))
(* t (- t 2))
(*.f64 t (+.f64 t #s(literal -2 binary64)))
(* t (- t 2))
(*.f64 t (+.f64 t #s(literal -2 binary64)))
(* t (- t 2))
(*.f64 t (+.f64 t #s(literal -2 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))))
(*.f64 t (+.f64 t #s(literal -2 binary64)))
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(*.f64 t (+.f64 t #s(literal -2 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))))
(*.f64 t (+.f64 t #s(literal -2 binary64)))
(* (pow t 2) (- 1 (* 2 (/ 1 t))))
(*.f64 t (+.f64 t #s(literal -2 binary64)))
(pow t 3)
(*.f64 t (*.f64 t t))
(pow t 3)
(*.f64 t (*.f64 t t))
(pow t 3)
(*.f64 t (*.f64 t t))
(pow t 3)
(*.f64 t (*.f64 t t))
(pow t 3)
(*.f64 t (*.f64 t t))
(pow t 3)
(*.f64 t (*.f64 t t))
(pow t 3)
(*.f64 t (*.f64 t t))
(pow t 3)
(*.f64 t (*.f64 t t))
(pow t 3)
(*.f64 t (*.f64 t t))
(pow t 3)
(*.f64 t (*.f64 t t))
(pow t 3)
(*.f64 t (*.f64 t t))
(pow t 3)
(*.f64 t (*.f64 t t))
(* -1/2 (pow t 2))
(*.f64 t (*.f64 t #s(literal -1/2 binary64)))
(* (pow t 2) (- (pow t 2) 1/2))
(*.f64 t (*.f64 t (+.f64 (*.f64 t t) #s(literal -1/2 binary64))))
(* (pow t 2) (- (pow t 2) 1/2))
(*.f64 t (*.f64 t (+.f64 (*.f64 t t) #s(literal -1/2 binary64))))
(* (pow t 2) (- (pow t 2) 1/2))
(*.f64 t (*.f64 t (+.f64 (*.f64 t t) #s(literal -1/2 binary64))))
(pow t 4)
(*.f64 t (*.f64 t (*.f64 t t)))
(* (pow t 4) (- 1 (* 1/2 (/ 1 (pow t 2)))))
(*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))))
(* (pow t 4) (- 1 (* 1/2 (/ 1 (pow t 2)))))
(*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))))
(* (pow t 4) (- 1 (* 1/2 (/ 1 (pow t 2)))))
(*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))))
(pow t 4)
(*.f64 t (*.f64 t (*.f64 t t)))
(* (pow t 4) (- 1 (* 1/2 (/ 1 (pow t 2)))))
(*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))))
(* (pow t 4) (- 1 (* 1/2 (/ 1 (pow t 2)))))
(*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))))
(* (pow t 4) (- 1 (* 1/2 (/ 1 (pow t 2)))))
(*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))))
(pow t 4)
(*.f64 t (*.f64 t (*.f64 t t)))
(pow t 4)
(*.f64 t (*.f64 t (*.f64 t t)))
(pow t 4)
(*.f64 t (*.f64 t (*.f64 t t)))
(pow t 4)
(*.f64 t (*.f64 t (*.f64 t t)))
(pow t 4)
(*.f64 t (*.f64 t (*.f64 t t)))
(pow t 4)
(*.f64 t (*.f64 t (*.f64 t t)))
(pow t 4)
(*.f64 t (*.f64 t (*.f64 t t)))
(pow t 4)
(*.f64 t (*.f64 t (*.f64 t t)))
(pow t 4)
(*.f64 t (*.f64 t (*.f64 t t)))
(pow t 4)
(*.f64 t (*.f64 t (*.f64 t t)))
(pow t 4)
(*.f64 t (*.f64 t (*.f64 t t)))
(pow t 4)
(*.f64 t (*.f64 t (*.f64 t t)))
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ (- (* -5/6 t) 2/9) t)
(+.f64 #s(literal -5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(/ (- (* -5/6 t) 2/9) t)
(+.f64 #s(literal -5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(/ (- (* -5/6 t) 2/9) t)
(+.f64 #s(literal -5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
-5/6
#s(literal -5/6 binary64)
(* -1 (+ 5/6 (* 2/9 (/ 1 t))))
(+.f64 #s(literal -5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(* -1 (+ 5/6 (* 2/9 (/ 1 t))))
(+.f64 #s(literal -5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(* -1 (+ 5/6 (* 2/9 (/ 1 t))))
(+.f64 #s(literal -5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
-5/6
#s(literal -5/6 binary64)
(* -1 (+ 5/6 (* 2/9 (/ 1 t))))
(+.f64 #s(literal -5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(* -1 (+ 5/6 (* 2/9 (/ 1 t))))
(+.f64 #s(literal -5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(* -1 (+ 5/6 (* 2/9 (/ 1 t))))
(+.f64 #s(literal -5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))

eval108.0ms (1.4%)

Compiler

Compiled 20952 to 1999 computations (90.5% saved)

prune70.0ms (0.9%)

Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New8202822
Fresh000
Picked123
Done066
Total82110831
Accuracy
100.0%
Counts
831 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 #s(literal 5 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)))) (+.f64 #s(literal 6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)))))
✓50.5%
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) (+.f64 (*.f64 t t) #s(literal -1/2 binary64)))))
▶50.9%
(/.f64 #s(literal -25/36 binary64) (+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal -5/6 binary64)))
✓51.1%
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
✓51.6%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
✓50.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
✓51.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
▶11.0%
(*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)) (/.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (*.f64 t t))))))
✓59.2%
#s(literal 5/6 binary64)
✓59.5%
#s(literal 1/2 binary64)
Compiler

Compiled 136 to 80 computations (41.2% saved)

simplify130.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal -2/9 binary64) t)
✓cost-diff0
(+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal -5/6 binary64))
✓cost-diff0
(/.f64 #s(literal -25/36 binary64) (+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal -5/6 binary64)))
✓cost-diff0
(*.f64 t t)
✓cost-diff0
(*.f64 t (*.f64 t t))
✓cost-diff0
(*.f64 t (*.f64 t (*.f64 t t)))
✓cost-diff768
(*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)) (/.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (*.f64 t t))))))
Rules
2022×times-frac
1856×*-lowering-*.f32
1856×*-lowering-*.f64
1530×fnmadd-define
1130×fma-lowering-fma.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
021106
14696
213496
352990
4217585
5500984
0831984
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* t (* t (* t t))) (+ (- 1 (/ (+ 2 (/ -1 t)) t)) (/ 1/2 (* t (* t (* t t))))))
(* t (* t (* t t)))
t
(* t (* t t))
(* t t)
(+ (- 1 (/ (+ 2 (/ -1 t)) t)) (/ 1/2 (* t (* t (* t t)))))
(- 1 (/ (+ 2 (/ -1 t)) t))
1
(/ (+ 2 (/ -1 t)) t)
(+ 2 (/ -1 t))
2
(/ -1 t)
-1
(/ 1/2 (* t (* t (* t t))))
1/2
(/ -25/36 (+ (/ -2/9 t) -5/6))
-25/36
(+ (/ -2/9 t) -5/6)
(/ -2/9 t)
-2/9
t
-5/6
Outputs
(* (* t (* t (* t t))) (+ (- 1 (/ (+ 2 (/ -1 t)) t)) (/ 1/2 (* t (* t (* t t))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 (*.f64 t t) (+.f64 t (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) t))))))
(* t (* t (* t t)))
(*.f64 t (*.f64 t (*.f64 t t)))
t
(* t (* t t))
(*.f64 t (*.f64 t t))
(* t t)
(*.f64 t t)
(+ (- 1 (/ (+ 2 (/ -1 t)) t)) (/ 1/2 (* t (* t (* t t)))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) t)) t)) (/.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (*.f64 t t)))))
(- 1 (/ (+ 2 (/ -1 t)) t))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) t)) t))
1
#s(literal 1 binary64)
(/ (+ 2 (/ -1 t)) t)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)
(+ 2 (/ -1 t))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t))
2
#s(literal 2 binary64)
(/ -1 t)
(/.f64 #s(literal -1 binary64) t)
-1
#s(literal -1 binary64)
(/ 1/2 (* t (* t (* t t))))
(/.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (*.f64 t t))))
1/2
#s(literal 1/2 binary64)
(/ -25/36 (+ (/ -2/9 t) -5/6))
(/.f64 #s(literal -25/36 binary64) (+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal -5/6 binary64)))
-25/36
#s(literal -25/36 binary64)
(+ (/ -2/9 t) -5/6)
(+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal -5/6 binary64))
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
-2/9
#s(literal -2/9 binary64)
t
-5/6
#s(literal -5/6 binary64)

localize86.0ms (1.1%)

Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal -5/6 binary64))
✓accuracy99.5%
(/.f64 #s(literal -2/9 binary64) t)
✓accuracy99.0%
(/.f64 #s(literal -25/36 binary64) (+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal -5/6 binary64)))
✓accuracy99.9%
(*.f64 t (*.f64 t t))
✓accuracy99.9%
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)
✓accuracy99.8%
(/.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (*.f64 t t))))
✓accuracy60.6%
(*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)) (/.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (*.f64 t t))))))
Results
54.0ms249×0valid
2.0ms5×1valid
1.0ms2×2valid
Compiler

Compiled 120 to 22 computations (81.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
...c/correct-round.rkt:119:19: 13.0ms (36.2% of total)
ival-div: 9.0ms (25.1% of total)
ival-mult: 7.0ms (19.5% of total)
ival-add: 4.0ms (11.1% of total)
ival-sub: 1.0ms (2.8% of total)
const: 1.0ms (2.8% of total)
backward-pass: 0.0ms (0% of total)

series4.0ms (0%)

Counts
9 → 108
Calls
Call 1
Inputs
#<alt (* (* t (* t (* t t))) (+ (- 1 (/ (+ 2 (/ -1 t)) t)) (/ 1/2 (* t (* t (* t t))))))>
#<alt (* t (* t (* t t)))>
#<alt (* t (* t t))>
#<alt (* t t)>
#<alt (/ -25/36 (+ (/ -2/9 t) -5/6))>
#<alt (+ (/ -2/9 t) -5/6)>
#<alt (/ -2/9 t)>
#<alt (/ 1/2 (* t (* t (* t t))))>
#<alt (/ (+ 2 (/ -1 t)) 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 (pow t 4)>
#<alt (* (pow t 4) (- 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 4) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))>
#<alt (* (pow t 4) (- (+ 1 (+ (/ 1 (pow t 2)) (* 1/2 (/ 1 (pow t 4))))) (* 2 (/ 1 t))))>
#<alt (pow t 4)>
#<alt (* (pow t 4) (- 1 (* 2 (/ 1 t))))>
#<alt (* (pow t 4) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))>
#<alt (* (pow t 4) (+ 1 (* -1 (/ (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t))) t))))>
#<alt (pow t 4)>
#<alt (pow t 4)>
#<alt (pow t 4)>
#<alt (pow t 4)>
#<alt (pow t 4)>
#<alt (pow t 4)>
#<alt (pow t 4)>
#<alt (pow t 4)>
#<alt (pow t 4)>
#<alt (pow t 4)>
#<alt (pow t 4)>
#<alt (pow t 4)>
#<alt (pow t 3)>
#<alt (pow t 3)>
#<alt (pow t 3)>
#<alt (pow t 3)>
#<alt (pow t 3)>
#<alt (pow t 3)>
#<alt (pow t 3)>
#<alt (pow t 3)>
#<alt (pow t 3)>
#<alt (pow t 3)>
#<alt (pow t 3)>
#<alt (pow t 3)>
#<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 (* 25/8 t)>
#<alt (* t (+ 25/8 (* -375/32 t)))>
#<alt (* t (+ 25/8 (* t (- (* 5625/128 t) 375/32))))>
#<alt (* t (+ 25/8 (* t (- (* t (+ 5625/128 (* -84375/512 t))) 375/32))))>
#<alt 5/6>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (- (+ 5/6 (/ 8/135 (pow t 2))) (* 2/9 (/ 1 t)))>
#<alt (- (+ 5/6 (/ 8/135 (pow t 2))) (+ (* 2/9 (/ 1 t)) (* 32/2025 (/ 1 (pow t 3)))))>
#<alt 5/6>
#<alt (- 5/6 (* 2/9 (/ 1 t)))>
#<alt (+ 5/6 (* -1 (/ (- 2/9 (* 8/135 (/ 1 t))) t)))>
#<alt (+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (- 8/135 (* 32/2025 (/ 1 t))) t))) t)))>
#<alt (/ -2/9 t)>
#<alt (/ (- (* -5/6 t) 2/9) t)>
#<alt (/ (- (* -5/6 t) 2/9) t)>
#<alt (/ (- (* -5/6 t) 2/9) t)>
#<alt -5/6>
#<alt (* -1 (+ 5/6 (* 2/9 (/ 1 t))))>
#<alt (* -1 (+ 5/6 (* 2/9 (/ 1 t))))>
#<alt (* -1 (+ 5/6 (* 2/9 (/ 1 t))))>
#<alt -5/6>
#<alt (* -1 (+ 5/6 (* 2/9 (/ 1 t))))>
#<alt (* -1 (+ 5/6 (* 2/9 (/ 1 t))))>
#<alt (* -1 (+ 5/6 (* 2/9 (/ 1 t))))>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ -2/9 t)>
#<alt (/ 1/2 (pow t 4))>
#<alt (/ 1/2 (pow t 4))>
#<alt (/ 1/2 (pow t 4))>
#<alt (/ 1/2 (pow t 4))>
#<alt (/ 1/2 (pow t 4))>
#<alt (/ 1/2 (pow t 4))>
#<alt (/ 1/2 (pow t 4))>
#<alt (/ 1/2 (pow t 4))>
#<alt (/ 1/2 (pow t 4))>
#<alt (/ 1/2 (pow t 4))>
#<alt (/ 1/2 (pow t 4))>
#<alt (/ 1/2 (pow t 4))>
#<alt (/ -1 (pow t 2))>
#<alt (/ (- (* 2 t) 1) (pow t 2))>
#<alt (/ (- (* 2 t) 1) (pow t 2))>
#<alt (/ (- (* 2 t) 1) (pow t 2))>
#<alt (/ 2 t)>
#<alt (/ (- 2 (/ 1 t)) t)>
#<alt (/ (- 2 (/ 1 t)) t)>
#<alt (/ (- 2 (/ 1 t)) t)>
#<alt (/ 2 t)>
#<alt (* -1 (/ (- (/ 1 t) 2) t))>
#<alt (* -1 (/ (- (/ 1 t) 2) t))>
#<alt (* -1 (/ (- (/ 1 t) 2) t))>
Calls

27 calls:

TimeVariablePointExpression
0.0ms
t
@0
(/ 1/2 (* t (* t (* t t))))
0.0ms
t
@-inf
(/ (+ 2 (/ -1 t)) t)
0.0ms
t
@inf
(/ (+ 2 (/ -1 t)) t)
0.0ms
t
@0
(/ (+ 2 (/ -1 t)) t)
0.0ms
t
@inf
(/ -25/36 (+ (/ -2/9 t) -5/6))

rewrite315.0ms (4.2%)

Algorithm
1×batch-egg-rewrite
Rules
4492×/-lowering-/.f32
4492×/-lowering-/.f64
2884×*-lowering-*.f32
2884×*-lowering-*.f64
1568×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02163
113255
2140050
0833650
Stop Event
1×iter limit
1×node limit
Counts
9 → 249
Calls
Call 1
Inputs
(* (* t (* t (* t t))) (+ (- 1 (/ (+ 2 (/ -1 t)) t)) (/ 1/2 (* t (* t (* t t))))))
(* t (* t (* t t)))
(* t (* t t))
(* t t)
(/ -25/36 (+ (/ -2/9 t) -5/6))
(+ (/ -2/9 t) -5/6)
(/ -2/9 t)
(/ 1/2 (* t (* t (* t t))))
(/ (+ 2 (/ -1 t)) t)
Outputs
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t))))
(+.f64 (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t))) #s(literal 1/2 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t))) (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)))) (-.f64 (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t))) #s(literal 1/2 binary64))))
(fma.f64 t (*.f64 (*.f64 t (*.f64 t t)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t))) #s(literal 1/2 binary64))
(fma.f64 t (/.f64 (*.f64 t (*.f64 t t)) (/.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1/2 binary64) t))) (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t))))
(fma.f64 (*.f64 t t) (*.f64 (*.f64 t t) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 t t) (/.f64 (*.f64 t t) (/.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1/2 binary64) t))) (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t))))
(fma.f64 (*.f64 t (*.f64 t t)) (*.f64 t (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t))) #s(literal 1/2 binary64))
(fma.f64 (*.f64 t (*.f64 t t)) (/.f64 t (/.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1/2 binary64) t))) (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t))))
(fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (*.f64 t t))) (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t))))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)) (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (*.f64 t t))) (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)) (*.f64 t (*.f64 t t))) t #s(literal 1/2 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (*.f64 t t))) (*.f64 t (*.f64 t t))) t (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t))))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)) t) (*.f64 t (*.f64 t t)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)) (*.f64 t t)) (*.f64 t t) #s(literal 1/2 binary64))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (*.f64 t t))) t) (*.f64 t (*.f64 t t)) (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t))))
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (*.f64 t t))) (*.f64 t t)) (*.f64 t t) (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t))))
(fma.f64 (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) (*.f64 t t))) (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t))))
(/.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t t)))) t))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t))) (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)))) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t))) #s(literal 1/2 binary64)))) (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t))) (*.f64 (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t))) (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t))))) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t))) #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t))) (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)))) #s(literal 1/4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (*.f64 t t))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t))) (/.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1/2 binary64) t)))) (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t t)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t))) (/.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 t t))) t)) (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t t)))) t)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t))) (/.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 t t))) t))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (*.f64 t t))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t))) (/.f64 (*.f64 t (*.f64 t t)) (/.f64 #s(literal 1/2 binary64) t)))) (*.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)))) (/.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 (*.f64 t t) (*.f64 t t)) (*.f64 (*.f64 t t) (*.f64 t t)))))) (*.f64 (*.f64 t t) (*.f64 t t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t))) (/.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 t t))) t)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t t)))) t)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t))) (/.f64 (/.f64 #s(literal 1/2 binary64) t) (*.f64 t t))) t))) (*.f64 (*.f64 t t) (*.f64 t t)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -2 binary64)) t))) (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -1 binary64) (*.f64 t (*.f64 t t))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) t))) (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t))))))
(/.f64 #s(literal 1 binary64) (/.f64 t (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -2 binary64)) t)) t) (*.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -1 binary64) (*.f64 t (*.f64 t t)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) t)) t) (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -2 binary64)) t)) (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -1 binary64) (*.f64 t (*.f64 t t)))) t)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) t)) (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t))) t)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 t (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) (/.f64 t #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t))) (-.f64 #s(literal 0 binary64) t))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t))) (/.f64 t #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -1 binary64) (*.f64 t (*.f64 t t)))) (*.f64 t (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -2 binary64)) t))))
(/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t))))
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t))) (*.f64 t (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) t))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)))) (-.f64 #s(literal 0 binary64) t))
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) #s(literal 1 binary64)) t)
(/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -1 binary64) (*.f64 t (*.f64 t t)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -2 binary64)) t)) t))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) t)) t))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -1 binary64) (*.f64 t (*.f64 t t))))) (neg.f64 (*.f64 t (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -2 binary64)) t)))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t)))) (neg.f64 (*.f64 t (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) t)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)))) (neg.f64 (-.f64 #s(literal 0 binary64) t)))
(/.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -1 binary64) (*.f64 t (*.f64 t t)))) t) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -2 binary64)) t)))
(/.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t))) t) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) t)))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) t))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t))))) (neg.f64 (-.f64 #s(literal 0 binary64) t)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) t))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -1 binary64) (*.f64 t (*.f64 t t)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -2 binary64)) t)) t)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) t)) t)))
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -1 binary64) (*.f64 t (*.f64 t t)))) t)) (neg.f64 (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -2 binary64)) t))))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t))) t)) (neg.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) t))))
(pow.f64 (/.f64 t (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 t (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)))))
(*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal 1 binary64) t))
(*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t))) (/.f64 #s(literal -1 binary64) t))
(*.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -1 binary64) (*.f64 t (*.f64 t t)))) (/.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -2 binary64)) t)))))
(*.f64 (/.f64 #s(literal 1 binary64) t) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)))
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t))) (/.f64 #s(literal 1 binary64) (*.f64 t (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) t)))))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)))) (/.f64 #s(literal -1 binary64) t))
(*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) t))
(*.f64 (*.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -1 binary64) (*.f64 t (*.f64 t t)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -2 binary64)) t)) t)))
(*.f64 (*.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) t)) t)))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)))) (/.f64 #s(literal 1 binary64) t))
(*.f64 (/.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -1 binary64) (*.f64 t (*.f64 t t)))) t) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -2 binary64)) t))))
(*.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t))) t) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) t))))
(*.f64 (pow.f64 (/.f64 t (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -1 binary64) (*.f64 t (*.f64 t t))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -2 binary64)) t))))
(*.f64 (pow.f64 (/.f64 t (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 t t)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) t))))

simplify209.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
2092×sum3-define
2076×*-lowering-*.f32
2076×*-lowering-*.f64
1982×sum4-define
1562×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0113571
1333550
2842516
32109514
46144514
08439514
Stop Event
1×iter limit
1×node limit
Counts
108 → 108
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)))))
(pow t 4)
(* (pow t 4) (- 1 (* 2 (/ 1 t))))
(* (pow t 4) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(* (pow t 4) (- (+ 1 (+ (/ 1 (pow t 2)) (* 1/2 (/ 1 (pow t 4))))) (* 2 (/ 1 t))))
(pow t 4)
(* (pow t 4) (- 1 (* 2 (/ 1 t))))
(* (pow t 4) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))
(* (pow t 4) (+ 1 (* -1 (/ (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t))) t))))
(pow t 4)
(pow t 4)
(pow t 4)
(pow t 4)
(pow t 4)
(pow t 4)
(pow t 4)
(pow t 4)
(pow t 4)
(pow t 4)
(pow t 4)
(pow t 4)
(pow t 3)
(pow t 3)
(pow t 3)
(pow t 3)
(pow t 3)
(pow t 3)
(pow t 3)
(pow t 3)
(pow t 3)
(pow t 3)
(pow t 3)
(pow t 3)
(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)
(* 25/8 t)
(* t (+ 25/8 (* -375/32 t)))
(* t (+ 25/8 (* t (- (* 5625/128 t) 375/32))))
(* t (+ 25/8 (* t (- (* t (+ 5625/128 (* -84375/512 t))) 375/32))))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(- (+ 5/6 (/ 8/135 (pow t 2))) (* 2/9 (/ 1 t)))
(- (+ 5/6 (/ 8/135 (pow t 2))) (+ (* 2/9 (/ 1 t)) (* 32/2025 (/ 1 (pow t 3)))))
5/6
(- 5/6 (* 2/9 (/ 1 t)))
(+ 5/6 (* -1 (/ (- 2/9 (* 8/135 (/ 1 t))) t)))
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (- 8/135 (* 32/2025 (/ 1 t))) t))) t)))
(/ -2/9 t)
(/ (- (* -5/6 t) 2/9) t)
(/ (- (* -5/6 t) 2/9) t)
(/ (- (* -5/6 t) 2/9) t)
-5/6
(* -1 (+ 5/6 (* 2/9 (/ 1 t))))
(* -1 (+ 5/6 (* 2/9 (/ 1 t))))
(* -1 (+ 5/6 (* 2/9 (/ 1 t))))
-5/6
(* -1 (+ 5/6 (* 2/9 (/ 1 t))))
(* -1 (+ 5/6 (* 2/9 (/ 1 t))))
(* -1 (+ 5/6 (* 2/9 (/ 1 t))))
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ -2/9 t)
(/ 1/2 (pow t 4))
(/ 1/2 (pow t 4))
(/ 1/2 (pow t 4))
(/ 1/2 (pow t 4))
(/ 1/2 (pow t 4))
(/ 1/2 (pow t 4))
(/ 1/2 (pow t 4))
(/ 1/2 (pow t 4))
(/ 1/2 (pow t 4))
(/ 1/2 (pow t 4))
(/ 1/2 (pow t 4))
(/ 1/2 (pow t 4))
(/ -1 (pow t 2))
(/ (- (* 2 t) 1) (pow t 2))
(/ (- (* 2 t) 1) (pow t 2))
(/ (- (* 2 t) 1) (pow t 2))
(/ 2 t)
(/ (- 2 (/ 1 t)) t)
(/ (- 2 (/ 1 t)) t)
(/ (- 2 (/ 1 t)) t)
(/ 2 t)
(* -1 (/ (- (/ 1 t) 2) t))
(* -1 (/ (- (/ 1 t) 2) t))
(* -1 (/ (- (/ 1 t) 2) t))
Outputs
1/2
#s(literal 1/2 binary64)
(+ 1/2 (pow t 2))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+ 1/2 (* (pow t 2) (+ 1 (* -2 t))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))
(+ 1/2 (* (pow t 2) (+ 1 (* t (- t 2)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
(pow t 4)
(*.f64 t (*.f64 t (*.f64 t t)))
(* (pow t 4) (- 1 (* 2 (/ 1 t))))
(*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) t)))
(* (pow t 4) (- (+ 1 (/ 1 (pow t 2))) (* 2 (/ 1 t))))
(*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)))
(* (pow t 4) (- (+ 1 (+ (/ 1 (pow t 2)) (* 1/2 (/ 1 (pow t 4))))) (* 2 (/ 1 t))))
(*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (*.f64 t t)))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t))))
(pow t 4)
(*.f64 t (*.f64 t (*.f64 t t)))
(* (pow t 4) (- 1 (* 2 (/ 1 t))))
(*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) t)))
(* (pow t 4) (+ 1 (* -1 (/ (- 2 (/ 1 t)) t))))
(*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)))
(* (pow t 4) (+ 1 (* -1 (/ (+ 2 (* -1 (/ (+ 1 (* 1/2 (/ 1 (pow t 2)))) t))) t))))
(*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))) t)) t)))
(pow t 4)
(*.f64 t (*.f64 t (*.f64 t t)))
(pow t 4)
(*.f64 t (*.f64 t (*.f64 t t)))
(pow t 4)
(*.f64 t (*.f64 t (*.f64 t t)))
(pow t 4)
(*.f64 t (*.f64 t (*.f64 t t)))
(pow t 4)
(*.f64 t (*.f64 t (*.f64 t t)))
(pow t 4)
(*.f64 t (*.f64 t (*.f64 t t)))
(pow t 4)
(*.f64 t (*.f64 t (*.f64 t t)))
(pow t 4)
(*.f64 t (*.f64 t (*.f64 t t)))
(pow t 4)
(*.f64 t (*.f64 t (*.f64 t t)))
(pow t 4)
(*.f64 t (*.f64 t (*.f64 t t)))
(pow t 4)
(*.f64 t (*.f64 t (*.f64 t t)))
(pow t 4)
(*.f64 t (*.f64 t (*.f64 t t)))
(pow t 3)
(*.f64 t (*.f64 t t))
(pow t 3)
(*.f64 t (*.f64 t t))
(pow t 3)
(*.f64 t (*.f64 t t))
(pow t 3)
(*.f64 t (*.f64 t t))
(pow t 3)
(*.f64 t (*.f64 t t))
(pow t 3)
(*.f64 t (*.f64 t t))
(pow t 3)
(*.f64 t (*.f64 t t))
(pow t 3)
(*.f64 t (*.f64 t t))
(pow t 3)
(*.f64 t (*.f64 t t))
(pow t 3)
(*.f64 t (*.f64 t t))
(pow t 3)
(*.f64 t (*.f64 t t))
(pow t 3)
(*.f64 t (*.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)
(pow t 2)
(*.f64 t t)
(* 25/8 t)
(*.f64 t #s(literal 25/8 binary64))
(* t (+ 25/8 (* -375/32 t)))
(*.f64 t (+.f64 #s(literal 25/8 binary64) (*.f64 t #s(literal -375/32 binary64))))
(* t (+ 25/8 (* t (- (* 5625/128 t) 375/32))))
(*.f64 t (+.f64 #s(literal 25/8 binary64) (*.f64 t (+.f64 #s(literal -375/32 binary64) (*.f64 t #s(literal 5625/128 binary64))))))
(* t (+ 25/8 (* t (- (* t (+ 5625/128 (* -84375/512 t))) 375/32))))
(*.f64 t (+.f64 #s(literal 25/8 binary64) (*.f64 t (+.f64 #s(literal -375/32 binary64) (*.f64 t (+.f64 #s(literal 5625/128 binary64) (*.f64 t #s(literal -84375/512 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 (/ 8/135 (pow t 2))) (* 2/9 (/ 1 t)))
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -8/135 binary64) t)) t))
(- (+ 5/6 (/ 8/135 (pow t 2))) (+ (* 2/9 (/ 1 t)) (* 32/2025 (/ 1 (pow t 3)))))
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 8/135 binary64) (/.f64 #s(literal -32/2025 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 (* 8/135 (/ 1 t))) t)))
(-.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 #s(literal 2/9 binary64) (/.f64 #s(literal -8/135 binary64) t)) t))
(+ 5/6 (* -1 (/ (+ 2/9 (* -1 (/ (- 8/135 (* 32/2025 (/ 1 t))) t))) t)))
(+.f64 #s(literal 5/6 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 8/135 binary64) (/.f64 #s(literal -32/2025 binary64) t)) t) #s(literal -2/9 binary64)) t))
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ (- (* -5/6 t) 2/9) t)
(+.f64 #s(literal -5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(/ (- (* -5/6 t) 2/9) t)
(+.f64 #s(literal -5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(/ (- (* -5/6 t) 2/9) t)
(+.f64 #s(literal -5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
-5/6
#s(literal -5/6 binary64)
(* -1 (+ 5/6 (* 2/9 (/ 1 t))))
(+.f64 #s(literal -5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(* -1 (+ 5/6 (* 2/9 (/ 1 t))))
(+.f64 #s(literal -5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(* -1 (+ 5/6 (* 2/9 (/ 1 t))))
(+.f64 #s(literal -5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
-5/6
#s(literal -5/6 binary64)
(* -1 (+ 5/6 (* 2/9 (/ 1 t))))
(+.f64 #s(literal -5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(* -1 (+ 5/6 (* 2/9 (/ 1 t))))
(+.f64 #s(literal -5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(* -1 (+ 5/6 (* 2/9 (/ 1 t))))
(+.f64 #s(literal -5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ -2/9 t)
(/.f64 #s(literal -2/9 binary64) t)
(/ 1/2 (pow t 4))
(/.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (*.f64 t t))))
(/ 1/2 (pow t 4))
(/.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (*.f64 t t))))
(/ 1/2 (pow t 4))
(/.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (*.f64 t t))))
(/ 1/2 (pow t 4))
(/.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (*.f64 t t))))
(/ 1/2 (pow t 4))
(/.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (*.f64 t t))))
(/ 1/2 (pow t 4))
(/.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (*.f64 t t))))
(/ 1/2 (pow t 4))
(/.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (*.f64 t t))))
(/ 1/2 (pow t 4))
(/.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (*.f64 t t))))
(/ 1/2 (pow t 4))
(/.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (*.f64 t t))))
(/ 1/2 (pow t 4))
(/.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (*.f64 t t))))
(/ 1/2 (pow t 4))
(/.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (*.f64 t t))))
(/ 1/2 (pow t 4))
(/.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (*.f64 t t))))
(/ -1 (pow t 2))
(/.f64 #s(literal -1 binary64) (*.f64 t t))
(/ (- (* 2 t) 1) (pow t 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)
(/ (- (* 2 t) 1) (pow t 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)
(/ (- (* 2 t) 1) (pow t 2))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)
(/ 2 t)
(/.f64 #s(literal 2 binary64) t)
(/ (- 2 (/ 1 t)) t)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)
(/ (- 2 (/ 1 t)) t)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)
(/ (- 2 (/ 1 t)) t)
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)
(/ 2 t)
(/.f64 #s(literal 2 binary64) t)
(* -1 (/ (- (/ 1 t) 2) t))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)
(* -1 (/ (- (/ 1 t) 2) t))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)
(* -1 (/ (- (/ 1 t) 2) t))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)

eval49.0ms (0.7%)

Compiler

Compiled 11695 to 1036 computations (91.1% saved)

prune38.0ms (0.5%)

Pruning

11 alts after pruning (2 fresh and 9 done)

PrunedKeptTotal
New4162418
Fresh000
Picked112
Done088
Total41711428
Accuracy
100.0%
Counts
428 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 #s(literal 5 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)))) (+.f64 #s(literal 6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)))))
✓50.5%
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) (+.f64 (*.f64 t t) #s(literal -1/2 binary64)))))
✓50.9%
(/.f64 #s(literal -25/36 binary64) (+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal -5/6 binary64)))
58.5%
(/.f64 #s(literal -25/36 binary64) #s(literal -5/6 binary64))
✓51.1%
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
✓51.6%
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
✓50.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
✓51.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
11.4%
(*.f64 (*.f64 t (*.f64 (*.f64 t t) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t t)))) t)))) t)
✓59.2%
#s(literal 5/6 binary64)
✓59.5%
#s(literal 1/2 binary64)
Compiler

Compiled 378 to 164 computations (56.6% saved)

regimes23.0ms (0.3%)

Counts
15 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 5/6 binary64)
(/.f64 #s(literal -25/36 binary64) #s(literal -5/6 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(/.f64 #s(literal -25/36 binary64) (+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal -5/6 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
(/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) #s(literal -25/36 binary64)) (+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal -5/6 binary64)))
(/.f64 (+.f64 #s(literal 5 binary64) (/.f64 #s(literal -8 binary64) t)) (+.f64 #s(literal 6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)))))
(*.f64 (*.f64 t (*.f64 (*.f64 t t) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t t)))) t)))) t)
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) (+.f64 (*.f64 t t) #s(literal -1/2 binary64)))))
(*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)) (/.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (*.f64 t t))))))
(/.f64 (+.f64 #s(literal 5 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)))) (+.f64 #s(literal 6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))
Outputs
(/.f64 (+.f64 #s(literal 5 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)))) (+.f64 #s(literal 6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)))))
Calls

5 calls:

5.0ms
(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))
5.0ms
t
5.0ms
(/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))
4.0ms
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))
4.0ms
(-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))
Results
AccuracySegmentsBranch
100.0%1t
100.0%1(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))) (+.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))))
100.0%1(*.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))))
100.0%1(-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t))))
100.0%1(/.f64 (/.f64 #s(literal 2 binary64) t) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)))
Compiler

Compiled 100 to 37 computations (63% saved)

regimes5.0ms (0.1%)

Counts
13 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 5/6 binary64)
(/.f64 #s(literal -25/36 binary64) #s(literal -5/6 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(/.f64 #s(literal -25/36 binary64) (+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal -5/6 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
(/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) #s(literal -25/36 binary64)) (+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal -5/6 binary64)))
(/.f64 (+.f64 #s(literal 5 binary64) (/.f64 #s(literal -8 binary64) t)) (+.f64 #s(literal 6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)))))
(*.f64 (*.f64 t (*.f64 (*.f64 t t) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) (/.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t t)))) t)))) t)
(/.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 t t) (*.f64 t (*.f64 t (*.f64 t t))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 t t) (+.f64 (*.f64 t t) #s(literal -1/2 binary64)))))
(*.f64 (*.f64 t (*.f64 t (*.f64 t t))) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) t)) t)) (/.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (*.f64 t t))))))
Outputs
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
(/.f64 (+.f64 #s(literal 5 binary64) (/.f64 #s(literal -8 binary64) t)) (+.f64 #s(literal 6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)))))
Calls

1 calls:

4.0ms
t
Results
AccuracySegmentsBranch
99.5%3t
Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0.1%)

Counts
9 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 5/6 binary64)
(/.f64 #s(literal -25/36 binary64) #s(literal -5/6 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(/.f64 #s(literal -25/36 binary64) (+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal -5/6 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
(/.f64 (+.f64 (/.f64 #s(literal 4/81 binary64) (*.f64 t t)) #s(literal -25/36 binary64)) (+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal -5/6 binary64)))
Outputs
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64))))))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
Calls

1 calls:

5.0ms
t
Results
AccuracySegmentsBranch
99.5%3t
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
7 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 5/6 binary64)
(/.f64 #s(literal -25/36 binary64) #s(literal -5/6 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(/.f64 #s(literal -25/36 binary64) (+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal -5/6 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
Outputs
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64))))))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
Calls

1 calls:

3.0ms
t
Results
AccuracySegmentsBranch
99.5%3t
Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Counts
6 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 5/6 binary64)
(/.f64 #s(literal -25/36 binary64) #s(literal -5/6 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(/.f64 #s(literal -25/36 binary64) (+.f64 (/.f64 #s(literal -2/9 binary64) t) #s(literal -5/6 binary64)))
Outputs
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
(+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))
Calls

1 calls:

2.0ms
t
Results
AccuracySegmentsBranch
99.4%3t
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts
4 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 5/6 binary64)
(/.f64 #s(literal -25/36 binary64) #s(literal -5/6 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
Outputs
#s(literal 5/6 binary64)
(+.f64 #s(literal 1/2 binary64) (*.f64 t t))
#s(literal 5/6 binary64)
Calls

1 calls:

2.0ms
t
Results
AccuracySegmentsBranch
99.1%3t
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts
3 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
#s(literal 5/6 binary64)
(/.f64 #s(literal -25/36 binary64) #s(literal -5/6 binary64))
Outputs
#s(literal 5/6 binary64)
#s(literal 1/2 binary64)
#s(literal 5/6 binary64)
Calls

1 calls:

2.0ms
t
Results
AccuracySegmentsBranch
99.1%3t
Compiler

Compiled 2 to 1 computations (50% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
Outputs
#s(literal 1/2 binary64)
Calls

1 calls:

1.0ms
t
Results
AccuracySegmentsBranch
59.5%1t
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch35.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
3.3367552752849006e-8
269019244852.29272
12.0ms
-0.6139588199174438
-0.08949129629198092
Results
21.0ms256×0valid
Compiler

Compiled 568 to 387 computations (31.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 7.0ms (47.1% of total)
ival-add: 4.0ms (26.9% of total)
ival-mult: 3.0ms (20.2% of total)
ival-sub: 1.0ms (6.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch41.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
23.0ms
3.3367552752849006e-8
269019244852.29272
14.0ms
-0.6139588199174438
-0.08949129629198092
Results
23.0ms256×0valid
Compiler

Compiled 408 to 287 computations (29.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 7.0ms (51% of total)
ival-add: 4.0ms (29.1% of total)
ival-mult: 2.0ms (14.6% of total)
ival-sub: 1.0ms (7.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch39.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
21.0ms
3.3367552752849006e-8
269019244852.29272
15.0ms
-0.6139588199174438
-0.08949129629198092
Results
24.0ms256×0valid
Compiler

Compiled 376 to 271 computations (27.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 7.0ms (51.1% of total)
ival-add: 4.0ms (29.2% of total)
ival-mult: 2.0ms (14.6% of total)
ival-sub: 1.0ms (7.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch138.0ms (1.8%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
50.0ms
3.3367552752849006e-8
269019244852.29272
22.0ms
-13937174729.739893
-0.6139588199174438
Results
50.0ms320×0valid
Compiler

Compiled 336 to 235 computations (30.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-add: 25.0ms (60% of total)
ival-div: 12.0ms (28.8% of total)
ival-sub: 2.0ms (4.8% of total)
ival-mult: 2.0ms (4.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch61.0ms (0.8%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
38.0ms
3.3367552752849006e-8
269019244852.29272
18.0ms
-13937174729.739893
-0.6139588199174438
Results
46.0ms320×0valid
Compiler

Compiled 256 to 175 computations (31.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-div: 29.0ms (76.4% of total)
ival-add: 5.0ms (13.2% of total)
ival-sub: 2.0ms (5.3% of total)
ival-mult: 2.0ms (5.3% of total)
const: 1.0ms (2.6% of total)
backward-pass: 0.0ms (0% of total)

bsearch84.0ms (1.1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
3.3367552752849006e-8
269019244852.29272
60.0ms
-0.6139588199174438
-0.08949129629198092
Results
72.0ms256×0valid
Compiler

Compiled 152 to 111 computations (27% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-add: 53.0ms (84% of total)
ival-div: 7.0ms (11.1% of total)
ival-mult: 2.0ms (3.2% of total)
ival-sub: 1.0ms (1.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
24×+-commutative_binary64
12×*-commutative_binary64
10×if-if-or-not_binary32
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064176
198176
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 #s(literal 5 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)))) (+.f64 #s(literal 6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)))))
(if (<=.f64 t #s(literal -2476979795053773/4503599627370496 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) (if (<=.f64 t #s(literal 4165829655317709/2251799813685248 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))) (/.f64 (+.f64 #s(literal 5 binary64) (/.f64 #s(literal -8 binary64) t)) (+.f64 #s(literal 6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)))))))
(if (<=.f64 t #s(literal -2476979795053773/4503599627370496 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) (if (<=.f64 t #s(literal 3/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))))
(if (<=.f64 t #s(literal -5224175567749775/9007199254740992 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) (if (<=.f64 t #s(literal 1261007895663739/2251799813685248 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))))
(if (<=.f64 t #s(literal -889460926405673/1125899906842624 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) (if (<=.f64 t #s(literal 1261007895663739/2251799813685248 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 t t)) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))))
(if (<=.f64 t #s(literal -8106479329266893/9007199254740992 binary64)) #s(literal 5/6 binary64) (if (<=.f64 t #s(literal 1261007895663739/2251799813685248 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 t t)) #s(literal 5/6 binary64)))
(if (<=.f64 t #s(literal -5944751508129055/18014398509481984 binary64)) #s(literal 5/6 binary64) (if (<=.f64 t #s(literal 1 binary64)) #s(literal 1/2 binary64) #s(literal 5/6 binary64)))
#s(literal 1/2 binary64)
Outputs
(/.f64 (+.f64 #s(literal 5 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)))) (+.f64 #s(literal 6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)))))
(/.f64 (+.f64 #s(literal 5 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64))) #s(literal 6 binary64)))
(if (<=.f64 t #s(literal -2476979795053773/4503599627370496 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) (if (<=.f64 t #s(literal 4165829655317709/2251799813685248 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))) (/.f64 (+.f64 #s(literal 5 binary64) (/.f64 #s(literal -8 binary64) t)) (+.f64 #s(literal 6 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64)))))))
(if (<=.f64 t #s(literal -2476979795053773/4503599627370496 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) (if (<=.f64 t #s(literal 4165829655317709/2251799813685248 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))) (/.f64 (+.f64 #s(literal 5 binary64) (/.f64 #s(literal -8 binary64) t)) (+.f64 (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) (+.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) t)) #s(literal -4 binary64))) #s(literal 6 binary64)))))
(if (<=.f64 t #s(literal -2476979795053773/4503599627370496 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) (if (<=.f64 t #s(literal 3/4 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 t t) (+.f64 #s(literal 1 binary64) (*.f64 t (+.f64 t #s(literal -2 binary64)))))) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))))
(if (<=.f64 t #s(literal -5224175567749775/9007199254740992 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) (if (<=.f64 t #s(literal 1261007895663739/2251799813685248 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 t (*.f64 t (+.f64 #s(literal 1 binary64) (*.f64 t #s(literal -2 binary64)))))) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))))
(if (<=.f64 t #s(literal -889460926405673/1125899906842624 binary64)) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t)) (if (<=.f64 t #s(literal 1261007895663739/2251799813685248 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 t t)) (+.f64 #s(literal 5/6 binary64) (/.f64 #s(literal -2/9 binary64) t))))
(if (<=.f64 t #s(literal -8106479329266893/9007199254740992 binary64)) #s(literal 5/6 binary64) (if (<=.f64 t #s(literal 1261007895663739/2251799813685248 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 t t)) #s(literal 5/6 binary64)))
(if (<=.f64 t #s(literal -5944751508129055/18014398509481984 binary64)) #s(literal 5/6 binary64) (if (<=.f64 t #s(literal 1 binary64)) #s(literal 1/2 binary64) #s(literal 5/6 binary64)))
#s(literal 1/2 binary64)

soundness814.0ms (10.8%)

Rules
1962×*-lowering-*.f32
1962×*-lowering-*.f64
1882×*-lowering-*.f32
1882×*-lowering-*.f64
1856×+-lowering-+.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0148503
1463446
21234436
33025428
08067428
01247
12245
24645
314633
466333
5284531
0815231
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 295 to 144 computations (51.2% saved)

preprocess58.0ms (0.8%)

Compiler

Compiled 482 to 152 computations (68.5% saved)

end0.0ms (0%)

Profiling

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