logq (problem 3.4.3)

Time bar (total: 7.0s)

analyze4.0ms (0.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
0%0%50%50%0%0%0%2
50%25%25%50%0%0%0%3
75%37.5%12.5%50%0%0%0%4
87.5%43.7%6.2%50%0%0%0%5
93.8%46.8%3.1%50%0%0%0%6
96.9%48.4%1.6%50%0%0%0%7
98.4%49.2%0.8%50%0%0%0%8
99.2%49.6%0.4%50%0%0%0%9
99.6%49.8%0.2%50%0%0%0%10
99.8%49.9%0.1%50%0%0%0%11
99.9%49.9%0%50%0%0%0%12
Compiler

Compiled 13 to 8 computations (38.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-log: 1.0ms (56.9% of total)
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-fabs: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)
ival-<: 0.0ms (0% of total)

sample3.1s (45%)

Results
1.5s6108×1valid
1.3s1967×2valid
13.0ms181×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.2s
ival-log: 1.3s (58.7% of total)
backward-pass: 233.0ms (10.8% of total)
ival-div: 191.0ms (8.8% of total)
ival-add: 161.0ms (7.4% of total)
ival-sub: 128.0ms (5.9% of total)
ival-<: 88.0ms (4.1% of total)
ival-fabs: 75.0ms (3.5% of total)
const: 18.0ms (0.8% of total)
Bogosity

preprocess74.0ms (1.1%)

Algorithm
egg-herbie
Rules
1012×fnmadd-define
784×sum3-define
630×fma-define
516×fmsub-define
512×fnmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01227
13425
26225
313525
429625
572525
6203025
7303625
8335625
068
1168
2248
3368
4628
51088
61808
72898
86618
912158
1016998
1117198
017198
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(log (/ (- 1 eps) (+ 1 eps)))
Outputs
(log (/ (- 1 eps) (+ 1 eps)))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
Call 2
Inputs
(log (/ (- 1 eps) (+ 1 eps)))
(log (/ (- 1 (neg eps)) (+ 1 (neg eps))))
(neg (log (/ (- 1 (neg eps)) (+ 1 (neg eps)))))
Outputs
(log (/ (- 1 eps) (+ 1 eps)))
(log (/ (- 1 (neg eps)) (+ 1 (neg eps))))
(log (/ (+ 1 eps) (- 1 eps)))
(neg (log (/ (- 1 (neg eps)) (+ 1 (neg eps)))))
(neg (log (/ (+ 1 eps) (- 1 eps))))

explain229.0ms (3.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2551(0.0018574329150509794)1(-0.010265856030817696)(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
00-0-(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
00-0-(-.f64 #s(literal 1 binary64) eps)
00-0-#s(literal 1 binary64)
00-0-eps
00-0-(+.f64 #s(literal 1 binary64) eps)
Results
102.0ms358×1valid
89.0ms148×2valid
1.0ms0valid
Compiler

Compiled 59 to 20 computations (66.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 131.0ms
ival-log: 60.0ms (45.9% of total)
ival-sub: 33.0ms (25.2% of total)
backward-pass: 19.0ms (14.5% of total)
ival-div: 10.0ms (7.6% of total)
ival-add: 7.0ms (5.4% of total)
const: 2.0ms (1.5% of total)

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
7.3%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify32.0ms (0.5%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 1 binary64) eps)
cost-diff0
(-.f64 #s(literal 1 binary64) eps)
cost-diff0
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
cost-diff0
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
Rules
446×fnmadd-define
400×sum3-define
324×fma-define
294×fmsub-define
282×fnmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0623
11623
22423
33623
46223
510823
618023
728923
866123
9121523
10169923
11171923
0171923
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(log (/ (- 1 eps) (+ 1 eps)))
(/ (- 1 eps) (+ 1 eps))
(- 1 eps)
1
eps
(+ 1 eps)
Outputs
(log (/ (- 1 eps) (+ 1 eps)))
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(/ (- 1 eps) (+ 1 eps))
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
(- 1 eps)
(-.f64 #s(literal 1 binary64) eps)
1
#s(literal 1 binary64)
eps
(+ 1 eps)
(+.f64 #s(literal 1 binary64) eps)

localize99.0ms (1.4%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 1 binary64) eps)
accuracy100.0%
(+.f64 #s(literal 1 binary64) eps)
accuracy100.0%
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
accuracy7.3%
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
Results
49.0ms179×1valid
35.0ms74×2valid
0.0ms0valid
Compiler

Compiled 25 to 7 computations (72% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-log: 30.0ms (58.5% of total)
backward-pass: 8.0ms (15.6% of total)
ival-div: 5.0ms (9.8% of total)
ival-sub: 4.0ms (7.8% of total)
ival-add: 3.0ms (5.9% of total)
const: 1.0ms (2% of total)

series3.0ms (0%)

Counts
4 → 48
Calls
Call 1
Inputs
#<alt (log (/ (- 1 eps) (+ 1 eps)))>
#<alt (/ (- 1 eps) (+ 1 eps))>
#<alt (- 1 eps)>
#<alt (+ 1 eps)>
Outputs
#<alt (* -2 eps)>
#<alt (* eps (- (* -2/3 (pow eps 2)) 2))>
#<alt (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))>
#<alt (* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))>
#<alt (log -1)>
#<alt (- (log -1) (* 2 (/ 1 eps)))>
#<alt (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))>
#<alt (- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))>
#<alt (log -1)>
#<alt (- (log -1) (* 2 (/ 1 eps)))>
#<alt (+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))>
#<alt (+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))>
#<alt 1>
#<alt (+ 1 (* -2 eps))>
#<alt (+ 1 (* eps (- (* 2 eps) 2)))>
#<alt (+ 1 (* eps (- (* eps (+ 2 (* -2 eps))) 2)))>
#<alt -1>
#<alt (- (* 2 (/ 1 eps)) 1)>
#<alt (- (* 2 (/ 1 eps)) (+ 1 (/ 2 (pow eps 2))))>
#<alt (- (+ (* 2 (/ 1 eps)) (* 2 (/ 1 (pow eps 3)))) (+ 1 (/ 2 (pow eps 2))))>
#<alt -1>
#<alt (- (* 2 (/ 1 eps)) 1)>
#<alt (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 2) eps)) 1)>
#<alt 1>
#<alt (+ 1 (* -1 eps))>
#<alt (+ 1 (* -1 eps))>
#<alt (+ 1 (* -1 eps))>
#<alt (* -1 eps)>
#<alt (* eps (- (/ 1 eps) 1))>
#<alt (* eps (- (/ 1 eps) 1))>
#<alt (* eps (- (/ 1 eps) 1))>
#<alt (* -1 eps)>
#<alt (* -1 (* eps (- 1 (/ 1 eps))))>
#<alt (* -1 (* eps (- 1 (/ 1 eps))))>
#<alt (* -1 (* eps (- 1 (/ 1 eps))))>
#<alt 1>
#<alt (+ 1 eps)>
#<alt (+ 1 eps)>
#<alt (+ 1 eps)>
#<alt eps>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt eps>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt (* eps (+ 1 (/ 1 eps)))>
Calls

12 calls:

TimeVariablePointExpression
1.0ms
eps
@0
(log (/ (- 1 eps) (+ 1 eps)))
0.0ms
eps
@inf
(log (/ (- 1 eps) (+ 1 eps)))
0.0ms
eps
@-inf
(log (/ (- 1 eps) (+ 1 eps)))
0.0ms
eps
@inf
(/ (- 1 eps) (+ 1 eps))
0.0ms
eps
@inf
(- 1 eps)

rewrite288.0ms (4.1%)

Algorithm
batch-egg-rewrite
Rules
2314×*-lowering-*.f32
2314×*-lowering-*.f64
2312×/-lowering-/.f32
2312×/-lowering-/.f64
1358×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0621
14219
234919
3485314
0817014
Stop Event
iter limit
node limit
Counts
4 → 468
Calls
Call 1
Inputs
(log (/ (- 1 eps) (+ 1 eps)))
(/ (- 1 eps) (+ 1 eps))
(- 1 eps)
(+ 1 eps)
Outputs
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 0 binary64) (log1p.f64 eps)))
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
(+.f64 (log.f64 (+.f64 eps #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) eps))))
(+.f64 (log.f64 (+.f64 eps #s(literal -1 binary64))) (neg.f64 (log.f64 (-.f64 #s(literal -1 binary64) eps))))
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 eps)) (log.f64 (-.f64 #s(literal 1 binary64) eps)))
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))))) (log1p.f64 (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))
(+.f64 (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) eps)) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)))) (log.f64 (-.f64 #s(literal 1 binary64) eps)))
(+.f64 (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) eps)) (log1p.f64 (*.f64 eps (*.f64 eps eps)))) (log1p.f64 (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))
(-.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) eps)) (log1p.f64 eps))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) eps))))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (-.f64 (log1p.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) eps))) (-.f64 #s(literal 0 binary64) (log1p.f64 eps))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 (log1p.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) eps))) (log1p.f64 eps)))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (-.f64 (log1p.f64 eps) (-.f64 #s(literal 0 binary64) (log1p.f64 eps))))
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (+.f64 (log1p.f64 eps) (log1p.f64 eps)))
(-.f64 (log.f64 (+.f64 eps #s(literal -1 binary64))) (log.f64 (-.f64 #s(literal -1 binary64) eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64)))))
(-.f64 (log.f64 (+.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) eps))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
(-.f64 (log.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (/.f64 eps (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps))))) (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (log.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (/.f64 eps (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)))))))
(-.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal 1 binary64) eps))) (log1p.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) eps))))
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) eps)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)) (*.f64 (log1p.f64 eps) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))) (/.f64 (pow.f64 (log1p.f64 eps) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)) (*.f64 (log1p.f64 eps) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (/.f64 (pow.f64 (log1p.f64 eps) #s(literal 2 binary64)) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) (neg.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps))))))
(fma.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)) (*.f64 (log1p.f64 eps) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))) (neg.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps))))))
(fma.f64 (*.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (neg.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps))))))
(neg.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)) (*.f64 (log1p.f64 eps) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 eps) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)) (*.f64 (log1p.f64 eps) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))
(/.f64 (*.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (log1p.f64 eps) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)) (*.f64 (log1p.f64 eps) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))
(/.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (neg.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))
(/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 eps)) (-.f64 #s(literal 0 binary64) (log1p.f64 eps))) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 0 binary64) (log1p.f64 eps))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))))))
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(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1 binary64))))))
(/.f64 (+.f64 (*.f64 eps eps) #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (*.f64 eps eps))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (*.f64 eps eps))))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) eps)))))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 eps eps))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (*.f64 eps eps)))) (-.f64 #s(literal 1 binary64) eps)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) eps)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps eps))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 eps #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 (*.f64 eps eps) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 eps #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) eps)) (-.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (-.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) eps)))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 eps eps))) (+.f64 eps #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps eps) #s(literal -1 binary64))) (+.f64 eps #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) eps)))) (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps eps))) (-.f64 #s(literal 1 binary64) eps))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (+.f64 (*.f64 eps eps) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) eps))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) eps))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) eps)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (/.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) eps))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 #s(literal 0 binary64) (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (/.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) eps)))) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) eps)) (/.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) eps))))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) eps)) (-.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (-.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) eps))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (*.f64 eps eps)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal 1 binary64) (*.f64 eps eps)))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) eps))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) eps))
(*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) eps))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) eps)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))))
(*.f64 (+.f64 (*.f64 eps eps) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) eps))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) eps))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) eps)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) eps))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (-.f64 #s(literal -1 binary64) eps))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) eps)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (+.f64 eps #s(literal -1 binary64))) (*.f64 (*.f64 eps (+.f64 eps #s(literal -1 binary64))) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (+.f64 eps #s(literal -1 binary64))) (-.f64 (*.f64 eps (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (+.f64 eps #s(literal -1 binary64))) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) eps)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps eps))) (-.f64 #s(literal -1 binary64) eps))

simplify192.0ms (2.7%)

Algorithm
egg-herbie
Rules
2306×fma-lowering-fma.f32
2306×fma-lowering-fma.f64
1700×fnmadd-define
1676×fmsub-define
1580×fmm-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
089287
1257253
2612248
31626246
44074246
08245246
Stop Event
iter limit
node limit
Counts
48 → 48
Calls
Call 1
Inputs
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(log -1)
(- (log -1) (* 2 (/ 1 eps)))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
1
(+ 1 (* -2 eps))
(+ 1 (* eps (- (* 2 eps) 2)))
(+ 1 (* eps (- (* eps (+ 2 (* -2 eps))) 2)))
-1
(- (* 2 (/ 1 eps)) 1)
(- (* 2 (/ 1 eps)) (+ 1 (/ 2 (pow eps 2))))
(- (+ (* 2 (/ 1 eps)) (* 2 (/ 1 (pow eps 3)))) (+ 1 (/ 2 (pow eps 2))))
-1
(- (* 2 (/ 1 eps)) 1)
(- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 2) eps)) 1)
1
(+ 1 (* -1 eps))
(+ 1 (* -1 eps))
(+ 1 (* -1 eps))
(* -1 eps)
(* eps (- (/ 1 eps) 1))
(* eps (- (/ 1 eps) 1))
(* eps (- (/ 1 eps) 1))
(* -1 eps)
(* -1 (* eps (- 1 (/ 1 eps))))
(* -1 (* eps (- 1 (/ 1 eps))))
(* -1 (* eps (- 1 (/ 1 eps))))
1
(+ 1 eps)
(+ 1 eps)
(+ 1 eps)
eps
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
eps
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
Outputs
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64))))))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64)))))))))
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (* 2 (/ 1 eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) eps))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) eps))
(- (+ (log -1) (* -1 (/ (+ 2/3 (* 2/5 (/ 1 (pow eps 2)))) (pow eps 3)))) (* 2 (/ 1 eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2/3 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps))) (*.f64 eps eps)))))
(log -1)
(log.f64 #s(literal -1 binary64))
(- (log -1) (* 2 (/ 1 eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) eps))
(+ (log -1) (* -1 (/ (+ 2 (* 2/3 (/ 1 (pow eps 2)))) eps)))
(-.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) eps))
(+ (log -1) (* -1 (/ (+ 2 (+ (/ 2/5 (pow eps 4)) (* 2/3 (/ 1 (pow eps 2))))) eps)))
(+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal -2/3 binary64) (*.f64 eps eps))) (/.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) eps))
1
#s(literal 1 binary64)
(+ 1 (* -2 eps))
(+.f64 (*.f64 #s(literal -2 binary64) eps) #s(literal 1 binary64))
(+ 1 (* eps (- (* 2 eps) 2)))
(+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 eps #s(literal 2 binary64)))))
(+ 1 (* eps (- (* eps (+ 2 (* -2 eps))) 2)))
(+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -2 binary64) eps) #s(literal 2 binary64))))))
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 eps)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) eps))
(- (* 2 (/ 1 eps)) (+ 1 (/ 2 (pow eps 2))))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) eps)) eps))
(- (+ (* 2 (/ 1 eps)) (* 2 (/ 1 (pow eps 3)))) (+ 1 (/ 2 (pow eps 2))))
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) eps)) eps)) eps))
-1
#s(literal -1 binary64)
(- (* 2 (/ 1 eps)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) eps))
(- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) eps)) eps))
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 eps)) 2) eps)) 2) eps)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) eps)) eps)) eps))
1
#s(literal 1 binary64)
(+ 1 (* -1 eps))
(-.f64 #s(literal 1 binary64) eps)
(+ 1 (* -1 eps))
(-.f64 #s(literal 1 binary64) eps)
(+ 1 (* -1 eps))
(-.f64 #s(literal 1 binary64) eps)
(* -1 eps)
(-.f64 #s(literal 0 binary64) eps)
(* eps (- (/ 1 eps) 1))
(-.f64 #s(literal 1 binary64) eps)
(* eps (- (/ 1 eps) 1))
(-.f64 #s(literal 1 binary64) eps)
(* eps (- (/ 1 eps) 1))
(-.f64 #s(literal 1 binary64) eps)
(* -1 eps)
(-.f64 #s(literal 0 binary64) eps)
(* -1 (* eps (- 1 (/ 1 eps))))
(-.f64 #s(literal 1 binary64) eps)
(* -1 (* eps (- 1 (/ 1 eps))))
(-.f64 #s(literal 1 binary64) eps)
(* -1 (* eps (- 1 (/ 1 eps))))
(-.f64 #s(literal 1 binary64) eps)
1
#s(literal 1 binary64)
(+ 1 eps)
(+.f64 eps #s(literal 1 binary64))
(+ 1 eps)
(+.f64 eps #s(literal 1 binary64))
(+ 1 eps)
(+.f64 eps #s(literal 1 binary64))
eps
(* eps (+ 1 (/ 1 eps)))
(+.f64 eps #s(literal 1 binary64))
(* eps (+ 1 (/ 1 eps)))
(+.f64 eps #s(literal 1 binary64))
(* eps (+ 1 (/ 1 eps)))
(+.f64 eps #s(literal 1 binary64))
eps
(* eps (+ 1 (/ 1 eps)))
(+.f64 eps #s(literal 1 binary64))
(* eps (+ 1 (/ 1 eps)))
(+.f64 eps #s(literal 1 binary64))
(* eps (+ 1 (/ 1 eps)))
(+.f64 eps #s(literal 1 binary64))

eval70.0ms (1%)

Compiler

Compiled 12491 to 1703 computations (86.4% saved)

prune86.0ms (1.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New5124516
Fresh000
Picked101
Done000
Total5134517
Accuracy
100.0%
Counts
517 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64)))))))))
99.9%
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64))))))
99.8%
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
99.4%
(*.f64 #s(literal -2 binary64) eps)
Compiler

Compiled 52 to 34 computations (34.6% saved)

simplify76.0ms (1.1%)

Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 eps eps)
cost-diff0
(*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64)))))))
cost-diff0
(+.f64 #s(literal -2 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))))))))
cost-diff0
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64)))))))))
cost-diff0
(*.f64 eps eps)
cost-diff0
(*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64))))
cost-diff0
(+.f64 #s(literal -2 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64)))))
cost-diff0
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64))))))
cost-diff0
(*.f64 eps eps)
cost-diff0
(*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))
cost-diff0
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)))
cost-diff0
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
cost-diff0
(*.f64 #s(literal -2 binary64) eps)
Rules
1740×fma-define
1312×fma-lowering-fma.f32
1312×fma-lowering-fma.f64
402×*-lowering-*.f32
402×*-lowering-*.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023165
182145
2279145
3722145
41297145
51723145
61882145
71883145
01883145
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* -2 eps)
-2
eps
(* eps (+ -2 (* -2/3 (* eps eps))))
eps
(+ -2 (* -2/3 (* eps eps)))
-2
(* -2/3 (* eps eps))
-2/3
(* eps eps)
(* eps (+ -2 (* (* eps eps) (+ -2/3 (* (* eps eps) -2/5)))))
eps
(+ -2 (* (* eps eps) (+ -2/3 (* (* eps eps) -2/5))))
-2
(* (* eps eps) (+ -2/3 (* (* eps eps) -2/5)))
(* eps eps)
(+ -2/3 (* (* eps eps) -2/5))
-2/3
(* (* eps eps) -2/5)
-2/5
(* eps (+ -2 (* (* eps eps) (+ -2/3 (* (* eps eps) (+ -2/5 (* eps (* eps -2/7))))))))
eps
(+ -2 (* (* eps eps) (+ -2/3 (* (* eps eps) (+ -2/5 (* eps (* eps -2/7)))))))
-2
(* (* eps eps) (+ -2/3 (* (* eps eps) (+ -2/5 (* eps (* eps -2/7))))))
(* eps eps)
(+ -2/3 (* (* eps eps) (+ -2/5 (* eps (* eps -2/7)))))
-2/3
(* (* eps eps) (+ -2/5 (* eps (* eps -2/7))))
(+ -2/5 (* eps (* eps -2/7)))
-2/5
(* eps (* eps -2/7))
(* eps -2/7)
-2/7
Outputs
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
-2
#s(literal -2 binary64)
eps
(* eps (+ -2 (* -2/3 (* eps eps))))
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
eps
(+ -2 (* -2/3 (* eps eps)))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)))
-2
#s(literal -2 binary64)
(* -2/3 (* eps eps))
(*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))
-2/3
#s(literal -2/3 binary64)
(* eps eps)
(*.f64 eps eps)
(* eps (+ -2 (* (* eps eps) (+ -2/3 (* (* eps eps) -2/5)))))
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64)))))))
eps
(+ -2 (* (* eps eps) (+ -2/3 (* (* eps eps) -2/5))))
(+.f64 #s(literal -2 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64))))))
-2
#s(literal -2 binary64)
(* (* eps eps) (+ -2/3 (* (* eps eps) -2/5)))
(*.f64 eps (*.f64 eps (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64)))))
(* eps eps)
(*.f64 eps eps)
(+ -2/3 (* (* eps eps) -2/5))
(+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64)))
-2/3
#s(literal -2/3 binary64)
(* (* eps eps) -2/5)
(*.f64 (*.f64 eps eps) #s(literal -2/5 binary64))
-2/5
#s(literal -2/5 binary64)
(* eps (+ -2 (* (* eps eps) (+ -2/3 (* (* eps eps) (+ -2/5 (* eps (* eps -2/7))))))))
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64)))))))))
eps
(+ -2 (* (* eps eps) (+ -2/3 (* (* eps eps) (+ -2/5 (* eps (* eps -2/7)))))))
(+.f64 #s(literal -2 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))))))))
-2
#s(literal -2 binary64)
(* (* eps eps) (+ -2/3 (* (* eps eps) (+ -2/5 (* eps (* eps -2/7))))))
(*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64)))))))
(* eps eps)
(*.f64 eps eps)
(+ -2/3 (* (* eps eps) (+ -2/5 (* eps (* eps -2/7)))))
(+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))))))
-2/3
#s(literal -2/3 binary64)
(* (* eps eps) (+ -2/5 (* eps (* eps -2/7))))
(*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64)))))
(+ -2/5 (* eps (* eps -2/7)))
(+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))))
-2/5
#s(literal -2/5 binary64)
(* eps (* eps -2/7))
(*.f64 eps (*.f64 eps #s(literal -2/7 binary64)))
(* eps -2/7)
(*.f64 eps #s(literal -2/7 binary64))
-2/7
#s(literal -2/7 binary64)

localize154.0ms (2.2%)

Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 eps (*.f64 eps #s(literal -2/7 binary64)))
accuracy99.8%
(*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64)))))))
accuracy99.7%
(*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64)))))
accuracy99.4%
(*.f64 eps #s(literal -2/7 binary64))
accuracy100.0%
(*.f64 eps eps)
accuracy100.0%
(+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64)))
accuracy99.8%
(*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64))))
accuracy99.7%
(*.f64 (*.f64 eps eps) #s(literal -2/5 binary64))
accuracy100.0%
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)))
accuracy100.0%
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
accuracy100.0%
(*.f64 eps eps)
accuracy99.8%
(*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))
accuracy100.0%
(*.f64 #s(literal -2 binary64) eps)
Results
113.0ms256×0valid
Compiler

Compiled 196 to 24 computations (87.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-mult: 23.0ms (41% of total)
ival-add: 18.0ms (32.1% of total)
...c/correct-round.rkt:119:19: 14.0ms (24.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series13.0ms (0.2%)

Counts
16 → 192
Calls
Call 1
Inputs
#<alt (* -2 eps)>
#<alt (* eps (+ -2 (* -2/3 (* eps eps))))>
#<alt (+ -2 (* -2/3 (* eps eps)))>
#<alt (* -2/3 (* eps eps))>
#<alt (* eps eps)>
#<alt (* eps (+ -2 (* (* eps eps) (+ -2/3 (* (* eps eps) -2/5)))))>
#<alt (+ -2 (* (* eps eps) (+ -2/3 (* (* eps eps) -2/5))))>
#<alt (* (* eps eps) (+ -2/3 (* (* eps eps) -2/5)))>
#<alt (* eps (+ -2 (* (* eps eps) (+ -2/3 (* (* eps eps) (+ -2/5 (* eps (* eps -2/7))))))))>
#<alt (+ -2 (* (* eps eps) (+ -2/3 (* (* eps eps) (+ -2/5 (* eps (* eps -2/7)))))))>
#<alt (* (* eps eps) (+ -2/3 (* (* eps eps) (+ -2/5 (* eps (* eps -2/7))))))>
#<alt (* (* eps eps) -2/5)>
#<alt (+ -2/3 (* (* eps eps) -2/5))>
#<alt (* eps -2/7)>
#<alt (* (* eps eps) (+ -2/5 (* eps (* eps -2/7))))>
#<alt (* eps (* eps -2/7))>
Outputs
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* -2 eps)>
#<alt (* eps (- (* -2/3 (pow eps 2)) 2))>
#<alt (* eps (- (* -2/3 (pow eps 2)) 2))>
#<alt (* eps (- (* -2/3 (pow eps 2)) 2))>
#<alt (* -2/3 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -2/3 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt -2>
#<alt (- (* -2/3 (pow eps 2)) 2)>
#<alt (- (* -2/3 (pow eps 2)) 2)>
#<alt (- (* -2/3 (pow eps 2)) 2)>
#<alt (* -2/3 (pow eps 2))>
#<alt (* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -2/3 (pow eps 2))>
#<alt (* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))>
#<alt (* -2/3 (pow eps 2))>
#<alt (* -2/3 (pow eps 2))>
#<alt (* -2/3 (pow eps 2))>
#<alt (* -2/3 (pow eps 2))>
#<alt (* -2/3 (pow eps 2))>
#<alt (* -2/3 (pow eps 2))>
#<alt (* -2/3 (pow eps 2))>
#<alt (* -2/3 (pow eps 2))>
#<alt (* -2/3 (pow eps 2))>
#<alt (* -2/3 (pow eps 2))>
#<alt (* -2/3 (pow eps 2))>
#<alt (* -2/3 (pow eps 2))>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (* -2 eps)>
#<alt (* eps (- (* -2/3 (pow eps 2)) 2))>
#<alt (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))>
#<alt (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))>
#<alt (* -2/5 (pow eps 5))>
#<alt (* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))>
#<alt (* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))>
#<alt (* -2/5 (pow eps 5))>
#<alt (* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))>
#<alt (* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))>
#<alt -2>
#<alt (- (* -2/3 (pow eps 2)) 2)>
#<alt (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)>
#<alt (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)>
#<alt (* -2/5 (pow eps 4))>
#<alt (* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))>
#<alt (* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))>
#<alt (* -2/5 (pow eps 4))>
#<alt (* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))>
#<alt (* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))>
#<alt (* -2/3 (pow eps 2))>
#<alt (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3))>
#<alt (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3))>
#<alt (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3))>
#<alt (* -2/5 (pow eps 4))>
#<alt (* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -2/5 (pow eps 4))>
#<alt (* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -2 eps)>
#<alt (* eps (- (* -2/3 (pow eps 2)) 2))>
#<alt (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))>
#<alt (* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))>
#<alt (* -2/7 (pow eps 7))>
#<alt (* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* (pow eps 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -2/7 (pow eps 7))>
#<alt (* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))>
#<alt (* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (+ (* 2/5 (/ 1 (pow eps 2))) (* 2 (/ 1 (pow eps 6))))))))>
#<alt -2>
#<alt (- (* -2/3 (pow eps 2)) 2)>
#<alt (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)>
#<alt (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2)>
#<alt (* -2/7 (pow eps 6))>
#<alt (* -1 (* (pow eps 6) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 6) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* (pow eps 6) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -2/7 (pow eps 6))>
#<alt (* -1 (* (pow eps 6) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 6) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* (pow eps 6) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -2/3 (pow eps 2))>
#<alt (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))>
#<alt (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))>
#<alt (* -2/7 (pow eps 6))>
#<alt (* -1 (* (pow eps 6) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 6) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* (pow eps 6) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* -2/7 (pow eps 6))>
#<alt (* -1 (* (pow eps 6) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 6) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* (pow eps 6) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* -2/5 (pow eps 2))>
#<alt (* -2/5 (pow eps 2))>
#<alt (* -2/5 (pow eps 2))>
#<alt (* -2/5 (pow eps 2))>
#<alt (* -2/5 (pow eps 2))>
#<alt (* -2/5 (pow eps 2))>
#<alt (* -2/5 (pow eps 2))>
#<alt (* -2/5 (pow eps 2))>
#<alt (* -2/5 (pow eps 2))>
#<alt (* -2/5 (pow eps 2))>
#<alt (* -2/5 (pow eps 2))>
#<alt (* -2/5 (pow eps 2))>
#<alt -2/3>
#<alt (- (* -2/5 (pow eps 2)) 2/3)>
#<alt (- (* -2/5 (pow eps 2)) 2/3)>
#<alt (- (* -2/5 (pow eps 2)) 2/3)>
#<alt (* -2/5 (pow eps 2))>
#<alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -2/5 (pow eps 2))>
#<alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))>
#<alt (* -2/7 eps)>
#<alt (* -2/7 eps)>
#<alt (* -2/7 eps)>
#<alt (* -2/7 eps)>
#<alt (* -2/7 eps)>
#<alt (* -2/7 eps)>
#<alt (* -2/7 eps)>
#<alt (* -2/7 eps)>
#<alt (* -2/7 eps)>
#<alt (* -2/7 eps)>
#<alt (* -2/7 eps)>
#<alt (* -2/7 eps)>
#<alt (* -2/5 (pow eps 2))>
#<alt (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5))>
#<alt (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5))>
#<alt (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5))>
#<alt (* -2/7 (pow eps 4))>
#<alt (* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -2/7 (pow eps 4))>
#<alt (* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -2/7 (pow eps 2))>
#<alt (* -2/7 (pow eps 2))>
#<alt (* -2/7 (pow eps 2))>
#<alt (* -2/7 (pow eps 2))>
#<alt (* -2/7 (pow eps 2))>
#<alt (* -2/7 (pow eps 2))>
#<alt (* -2/7 (pow eps 2))>
#<alt (* -2/7 (pow eps 2))>
#<alt (* -2/7 (pow eps 2))>
#<alt (* -2/7 (pow eps 2))>
#<alt (* -2/7 (pow eps 2))>
#<alt (* -2/7 (pow eps 2))>
Calls

48 calls:

TimeVariablePointExpression
3.0ms
eps
@inf
(* eps (+ -2 (* (* eps eps) (+ -2/3 (* (* eps eps) -2/5)))))
1.0ms
eps
@inf
(* eps (+ -2 (* -2/3 (* eps eps))))
0.0ms
eps
@0
(* eps (+ -2 (* -2/3 (* eps eps))))
0.0ms
eps
@inf
(* eps (+ -2 (* (* eps eps) (+ -2/3 (* (* eps eps) (+ -2/5 (* eps (* eps -2/7))))))))
0.0ms
eps
@inf
(* (* eps eps) (+ -2/3 (* (* eps eps) (+ -2/5 (* eps (* eps -2/7))))))

rewrite340.0ms (4.9%)

Algorithm
batch-egg-rewrite
Rules
4112×*-lowering-*.f32
4112×*-lowering-*.f64
2910×/-lowering-/.f32
2910×/-lowering-/.f64
2170×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023130
1157113
21448113
08274113
Stop Event
iter limit
node limit
Counts
16 → 341
Calls
Call 1
Inputs
(* -2 eps)
(* eps (+ -2 (* -2/3 (* eps eps))))
(+ -2 (* -2/3 (* eps eps)))
(* -2/3 (* eps eps))
(* eps eps)
(* eps (+ -2 (* (* eps eps) (+ -2/3 (* (* eps eps) -2/5)))))
(+ -2 (* (* eps eps) (+ -2/3 (* (* eps eps) -2/5))))
(* (* eps eps) (+ -2/3 (* (* eps eps) -2/5)))
(* eps (+ -2 (* (* eps eps) (+ -2/3 (* (* eps eps) (+ -2/5 (* eps (* eps -2/7))))))))
(+ -2 (* (* eps eps) (+ -2/3 (* (* eps eps) (+ -2/5 (* eps (* eps -2/7)))))))
(* (* eps eps) (+ -2/3 (* (* eps eps) (+ -2/5 (* eps (* eps -2/7))))))
(* (* eps eps) -2/5)
(+ -2/3 (* (* eps eps) -2/5))
(* eps -2/7)
(* (* eps eps) (+ -2/5 (* eps (* eps -2/7))))
(* eps (* eps -2/7))
Outputs
(*.f64 #s(literal -2 binary64) eps)
(*.f64 eps #s(literal -2 binary64))
(+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 eps (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
(+.f64 (*.f64 eps (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))) (*.f64 #s(literal -2 binary64) eps))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -2 binary64) eps)) (-.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 eps (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))) (/.f64 (*.f64 (*.f64 eps (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))) (*.f64 eps (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)))) (-.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 eps (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))))
(fma.f64 #s(literal -2 binary64) eps (*.f64 eps (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
(fma.f64 eps #s(literal -2 binary64) (*.f64 eps (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
(fma.f64 eps (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) (*.f64 #s(literal -2 binary64) eps))
(fma.f64 #s(literal -2/3 binary64) (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal -2 binary64) eps))
(fma.f64 (*.f64 eps eps) (*.f64 eps #s(literal -2/3 binary64)) (*.f64 #s(literal -2 binary64) eps))
(fma.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) eps (*.f64 #s(literal -2 binary64) eps))
(fma.f64 (*.f64 eps #s(literal -2/3 binary64)) (*.f64 eps eps) (*.f64 #s(literal -2 binary64) eps))
(fma.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -2/3 binary64) (*.f64 #s(literal -2 binary64) eps))
(/.f64 (+.f64 (*.f64 #s(literal -8 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal -8/27 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -2 binary64) eps)) (-.f64 (*.f64 (*.f64 eps (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))) (*.f64 eps (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)))) (*.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 eps (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -2 binary64) eps)) (*.f64 (*.f64 eps (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))) (*.f64 eps (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))) (-.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 eps (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)))))
(/.f64 (*.f64 eps (+.f64 #s(literal -8 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal -8/27 binary64) (*.f64 eps (*.f64 eps eps)))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) (-.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) #s(literal -2 binary64)))))
(/.f64 (*.f64 eps (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))) (-.f64 #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
(/.f64 (*.f64 (+.f64 #s(literal -8 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal -8/27 binary64) (*.f64 eps (*.f64 eps eps))))) eps) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) (-.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) #s(literal -2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) eps) (-.f64 #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal -8 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal -8/27 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 eps eps))))) (neg.f64 (+.f64 (*.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -2 binary64) eps)) (-.f64 (*.f64 (*.f64 eps (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))) (*.f64 eps (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)))) (*.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 eps (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -2 binary64) eps)) (*.f64 (*.f64 eps (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))) (*.f64 eps (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)))))) (neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 eps (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))))
(/.f64 (neg.f64 (*.f64 eps (+.f64 #s(literal -8 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal -8/27 binary64) (*.f64 eps (*.f64 eps eps))))))) (neg.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) (-.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (*.f64 eps (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))) (neg.f64 (-.f64 #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -8 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal -8/27 binary64) (*.f64 eps (*.f64 eps eps))))) eps)) (neg.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) (-.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) eps)) (neg.f64 (-.f64 #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal -8/27 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 eps (*.f64 eps eps))) (*.f64 #s(literal -8 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 (*.f64 eps (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))) (*.f64 eps (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)))) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -2 binary64) eps)) (*.f64 (*.f64 eps (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))) (*.f64 #s(literal -2 binary64) eps)))))
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
(*.f64 (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))) eps)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)))
(+.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) #s(literal -2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)))) (/.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (-.f64 #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)))))
(-.f64 (/.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (-.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) #s(literal -2 binary64))))
(fma.f64 eps (*.f64 eps #s(literal -2/3 binary64)) #s(literal -2 binary64))
(fma.f64 #s(literal -2/3 binary64) (*.f64 eps eps) #s(literal -2 binary64))
(fma.f64 (*.f64 eps eps) #s(literal -2/3 binary64) #s(literal -2 binary64))
(fma.f64 (*.f64 eps #s(literal -2/3 binary64)) eps #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal -8 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal -8/27 binary64) (*.f64 eps (*.f64 eps eps))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) (-.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) #s(literal -2 binary64)))))
(/.f64 (+.f64 #s(literal -8 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal -8/27 binary64) (*.f64 eps (*.f64 eps eps))))) (+.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 eps eps)))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (-.f64 #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
(/.f64 (neg.f64 (+.f64 #s(literal -8 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal -8/27 binary64) (*.f64 eps (*.f64 eps eps)))))) (neg.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) (-.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal -8 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal -8/27 binary64) (*.f64 eps (*.f64 eps eps)))))) (neg.f64 (+.f64 (*.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/3 binary64) (*.f64 eps eps))))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))) (neg.f64 (-.f64 #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) (-.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)) #s(literal -2 binary64)))) (+.f64 #s(literal -8 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal -8/27 binary64) (*.f64 eps (*.f64 eps eps)))))))
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(/.f64 (*.f64 (*.f64 eps eps) (-.f64 #s(literal 4/25 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 4/49 binary64)))) (-.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal -8/125 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/343 binary64)))) (*.f64 eps eps)) (+.f64 #s(literal 4/25 binary64) (*.f64 (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))) (-.f64 (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))) #s(literal -2/5 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 4/25 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 4/49 binary64))) (*.f64 eps eps)) (-.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64)))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal -8/125 binary64) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/343 binary64))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))))) (neg.f64 (+.f64 (*.f64 #s(literal 4/25 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (-.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps #s(literal -2/7 binary64)))))) (*.f64 (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4/25 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps #s(literal -2/7 binary64)))))))) (neg.f64 (-.f64 (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64)) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))))))))
(/.f64 (neg.f64 (*.f64 (*.f64 eps eps) (+.f64 #s(literal -8/125 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/343 binary64)))))) (neg.f64 (+.f64 #s(literal 4/25 binary64) (*.f64 (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))) (-.f64 (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))) #s(literal -2/5 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 eps eps) (-.f64 #s(literal 4/25 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 4/49 binary64))))) (neg.f64 (-.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -8/125 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/343 binary64)))) (*.f64 eps eps))) (neg.f64 (+.f64 #s(literal 4/25 binary64) (*.f64 (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))) (-.f64 (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))) #s(literal -2/5 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 4/25 binary64) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) #s(literal 4/49 binary64))) (*.f64 eps eps))) (neg.f64 (-.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/343 binary64))) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps)))) (*.f64 #s(literal -8/125 binary64) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 eps eps))))) (+.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps #s(literal -2/7 binary64)))))) (-.f64 (*.f64 #s(literal 4/25 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))))) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64))))))
(*.f64 eps (*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))))))
(*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64)))))
(*.f64 (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64)))) (*.f64 eps eps))
(*.f64 (*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))))) eps)
(*.f64 eps (*.f64 eps #s(literal -2/7 binary64)))
(*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))
(*.f64 #s(literal -2/7 binary64) (*.f64 eps eps))
(*.f64 (*.f64 eps #s(literal -2/7 binary64)) eps)

simplify225.0ms (3.2%)

Algorithm
egg-herbie
Rules
3568×*-lowering-*.f32
3568×*-lowering-*.f64
2072×+-lowering-+.f64
2072×+-lowering-+.f32
1094×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01001478
13151291
211531250
336641247
084511247
Stop Event
iter limit
node limit
Counts
192 → 192
Calls
Call 1
Inputs
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* -2/3 (pow eps 2)) 2))
(* -2/3 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -2/3 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
-2
(- (* -2/3 (pow eps 2)) 2)
(- (* -2/3 (pow eps 2)) 2)
(- (* -2/3 (pow eps 2)) 2)
(* -2/3 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -2/3 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(* -2/3 (pow eps 2))
(* -2/3 (pow eps 2))
(* -2/3 (pow eps 2))
(* -2/3 (pow eps 2))
(* -2/3 (pow eps 2))
(* -2/3 (pow eps 2))
(* -2/3 (pow eps 2))
(* -2/3 (pow eps 2))
(* -2/3 (pow eps 2))
(* -2/3 (pow eps 2))
(* -2/3 (pow eps 2))
(* -2/3 (pow eps 2))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* -2/5 (pow eps 5))
(* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* (pow eps 5) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* -2/5 (pow eps 5))
(* -1 (* (pow eps 5) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))
(* -1 (* (pow eps 5) (+ 2/5 (+ (* 2/3 (/ 1 (pow eps 2))) (/ 2 (pow eps 4))))))
-2
(- (* -2/3 (pow eps 2)) 2)
(- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)
(- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)
(* -2/5 (pow eps 4))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* -2/5 (pow eps 4))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* (pow eps 4) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 2))) 2/5))
(* -2/3 (pow eps 2))
(* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3))
(* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3))
(* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3))
(* -2/5 (pow eps 4))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -2/5 (pow eps 4))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 4) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(* -2/7 (pow eps 7))
(* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -2/7 (pow eps 7))
(* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))
(* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (+ (* 2/5 (/ 1 (pow eps 2))) (* 2 (/ 1 (pow eps 6))))))))
-2
(- (* -2/3 (pow eps 2)) 2)
(- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2)
(- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2)
(* -2/7 (pow eps 6))
(* -1 (* (pow eps 6) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 6) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 6) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -2/7 (pow eps 6))
(* -1 (* (pow eps 6) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 6) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 6) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -2/3 (pow eps 2))
(* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3))
(* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))
(* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))
(* -2/7 (pow eps 6))
(* -1 (* (pow eps 6) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 6) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 6) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* -2/7 (pow eps 6))
(* -1 (* (pow eps 6) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 6) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 6) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* -2/5 (pow eps 2))
(* -2/5 (pow eps 2))
(* -2/5 (pow eps 2))
(* -2/5 (pow eps 2))
(* -2/5 (pow eps 2))
(* -2/5 (pow eps 2))
(* -2/5 (pow eps 2))
(* -2/5 (pow eps 2))
(* -2/5 (pow eps 2))
(* -2/5 (pow eps 2))
(* -2/5 (pow eps 2))
(* -2/5 (pow eps 2))
-2/3
(- (* -2/5 (pow eps 2)) 2/3)
(- (* -2/5 (pow eps 2)) 2/3)
(- (* -2/5 (pow eps 2)) 2/3)
(* -2/5 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -2/5 (pow eps 2))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(* -2/7 eps)
(* -2/7 eps)
(* -2/7 eps)
(* -2/7 eps)
(* -2/7 eps)
(* -2/7 eps)
(* -2/7 eps)
(* -2/7 eps)
(* -2/7 eps)
(* -2/7 eps)
(* -2/7 eps)
(* -2/7 eps)
(* -2/5 (pow eps 2))
(* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5))
(* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5))
(* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5))
(* -2/7 (pow eps 4))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -2/7 (pow eps 4))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -2/7 (pow eps 2))
(* -2/7 (pow eps 2))
(* -2/7 (pow eps 2))
(* -2/7 (pow eps 2))
(* -2/7 (pow eps 2))
(* -2/7 (pow eps 2))
(* -2/7 (pow eps 2))
(* -2/7 (pow eps 2))
(* -2/7 (pow eps 2))
(* -2/7 (pow eps 2))
(* -2/7 (pow eps 2))
(* -2/7 (pow eps 2))
Outputs
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
(* eps (- (* -2/3 (pow eps 2)) 2))
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
(* eps (- (* -2/3 (pow eps 2)) 2))
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
(* -2/3 (pow eps 3))
(*.f64 #s(literal -2/3 binary64) (*.f64 eps (*.f64 eps eps)))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
(* -2/3 (pow eps 3))
(*.f64 #s(literal -2/3 binary64) (*.f64 eps (*.f64 eps eps)))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
(* -1 (* (pow eps 3) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
-2
#s(literal -2 binary64)
(- (* -2/3 (pow eps 2)) 2)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)))
(- (* -2/3 (pow eps 2)) 2)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)))
(- (* -2/3 (pow eps 2)) 2)
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)))
(* -2/3 (pow eps 2))
(*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)))
(* -2/3 (pow eps 2))
(*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)))
(* -1 (* (pow eps 2) (+ 2/3 (* 2 (/ 1 (pow eps 2))))))
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(* -2/5 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/5 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64)))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64)))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64)))
(* -2/5 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/5 binary64))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64)))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64)))
(* -1 (* (pow eps 2) (+ 2/5 (* 2/3 (/ 1 (pow eps 2))))))
(+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64)))
(* -2/7 eps)
(*.f64 eps #s(literal -2/7 binary64))
(* -2/7 eps)
(*.f64 eps #s(literal -2/7 binary64))
(* -2/7 eps)
(*.f64 eps #s(literal -2/7 binary64))
(* -2/7 eps)
(*.f64 eps #s(literal -2/7 binary64))
(* -2/7 eps)
(*.f64 eps #s(literal -2/7 binary64))
(* -2/7 eps)
(*.f64 eps #s(literal -2/7 binary64))
(* -2/7 eps)
(*.f64 eps #s(literal -2/7 binary64))
(* -2/7 eps)
(*.f64 eps #s(literal -2/7 binary64))
(* -2/7 eps)
(*.f64 eps #s(literal -2/7 binary64))
(* -2/7 eps)
(*.f64 eps #s(literal -2/7 binary64))
(* -2/7 eps)
(*.f64 eps #s(literal -2/7 binary64))
(* -2/7 eps)
(*.f64 eps #s(literal -2/7 binary64))
(* -2/5 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/5 binary64))
(* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5))
(*.f64 eps (*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64)))))
(* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5))
(*.f64 eps (*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64)))))
(* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5))
(*.f64 eps (*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64)))))
(* -2/7 (pow eps 4))
(*.f64 eps (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps))))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps))))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps))))
(* -2/7 (pow eps 4))
(*.f64 eps (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps))))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps))))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 #s(literal -2/7 binary64) (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps))))
(* -2/7 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))
(* -2/7 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))
(* -2/7 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))
(* -2/7 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))
(* -2/7 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))
(* -2/7 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))
(* -2/7 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))
(* -2/7 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))
(* -2/7 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))
(* -2/7 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))
(* -2/7 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))
(* -2/7 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))

eval99.0ms (1.4%)

Compiler

Compiled 19005 to 1512 computations (92% saved)

prune57.0ms (0.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New6041605
Fresh000
Picked044
Done000
Total6045609
Accuracy
100.0%
Counts
609 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (*.f64 (+.f64 #s(literal -2/3 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))))))) (*.f64 eps (*.f64 eps eps))) (*.f64 #s(literal -2 binary64) eps))
100.0%
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64)))))))))
99.9%
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64))))))
99.8%
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
99.4%
(*.f64 #s(literal -2 binary64) eps)
Compiler

Compiled 76 to 50 computations (34.2% saved)

simplify59.0ms (0.8%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 eps (*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))))))
cost-diff0
(+.f64 #s(literal -2/3 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64)))))))
cost-diff0
(*.f64 (+.f64 #s(literal -2/3 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))))))) (*.f64 eps (*.f64 eps eps)))
cost-diff128
(+.f64 (*.f64 (+.f64 #s(literal -2/3 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))))))) (*.f64 eps (*.f64 eps eps))) (*.f64 #s(literal -2 binary64) eps))
Rules
1648×fma-define
1312×fma-lowering-fma.f32
1312×fma-lowering-fma.f64
402×*-lowering-*.f32
402×*-lowering-*.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01687
14078
210178
329177
478177
5187977
6234477
7238477
0238477
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* (+ -2/3 (* eps (* eps (+ -2/5 (* eps (* eps -2/7)))))) (* eps (* eps eps))) (* -2 eps))
(* (+ -2/3 (* eps (* eps (+ -2/5 (* eps (* eps -2/7)))))) (* eps (* eps eps)))
(+ -2/3 (* eps (* eps (+ -2/5 (* eps (* eps -2/7))))))
-2/3
(* eps (* eps (+ -2/5 (* eps (* eps -2/7)))))
eps
(* eps (+ -2/5 (* eps (* eps -2/7))))
(+ -2/5 (* eps (* eps -2/7)))
-2/5
(* eps (* eps -2/7))
(* eps -2/7)
-2/7
(* eps (* eps eps))
(* eps eps)
(* -2 eps)
-2
Outputs
(+ (* (+ -2/3 (* eps (* eps (+ -2/5 (* eps (* eps -2/7)))))) (* eps (* eps eps))) (* -2 eps))
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 (+.f64 #s(literal -2/3 binary64) (*.f64 (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64)))) (*.f64 eps eps))) (*.f64 eps eps))))
(* (+ -2/3 (* eps (* eps (+ -2/5 (* eps (* eps -2/7)))))) (* eps (* eps eps)))
(*.f64 (+.f64 #s(literal -2/3 binary64) (*.f64 (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64)))) (*.f64 eps eps))) (*.f64 eps (*.f64 eps eps)))
(+ -2/3 (* eps (* eps (+ -2/5 (* eps (* eps -2/7))))))
(+.f64 #s(literal -2/3 binary64) (*.f64 (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64)))) (*.f64 eps eps)))
-2/3
#s(literal -2/3 binary64)
(* eps (* eps (+ -2/5 (* eps (* eps -2/7)))))
(*.f64 (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64)))) (*.f64 eps eps))
eps
(* eps (+ -2/5 (* eps (* eps -2/7))))
(*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64)))))
(+ -2/5 (* eps (* eps -2/7)))
(+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))))
-2/5
#s(literal -2/5 binary64)
(* eps (* eps -2/7))
(*.f64 eps (*.f64 eps #s(literal -2/7 binary64)))
(* eps -2/7)
(*.f64 eps #s(literal -2/7 binary64))
-2/7
#s(literal -2/7 binary64)
(* eps (* eps eps))
(*.f64 eps (*.f64 eps eps))
(* eps eps)
(*.f64 eps eps)
(* -2 eps)
(*.f64 eps #s(literal -2 binary64))
-2
#s(literal -2 binary64)

localize130.0ms (1.9%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy99.8%
(*.f64 eps (*.f64 eps #s(literal -2/7 binary64)))
accuracy99.8%
(*.f64 (+.f64 #s(literal -2/3 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))))))) (*.f64 eps (*.f64 eps eps)))
accuracy99.5%
(*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64)))))
accuracy99.4%
(*.f64 eps #s(literal -2/7 binary64))
Results
108.0ms256×0valid
Compiler

Compiled 108 to 17 computations (84.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
...c/correct-round.rkt:119:19: 22.0ms (56.1% of total)
ival-mult: 13.0ms (33.2% of total)
ival-add: 4.0ms (10.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series3.0ms (0%)

Counts
7 → 84
Calls
Call 1
Inputs
#<alt (+ (* (+ -2/3 (* eps (* eps (+ -2/5 (* eps (* eps -2/7)))))) (* eps (* eps eps))) (* -2 eps))>
#<alt (* (+ -2/3 (* eps (* eps (+ -2/5 (* eps (* eps -2/7)))))) (* eps (* eps eps)))>
#<alt (+ -2/3 (* eps (* eps (+ -2/5 (* eps (* eps -2/7))))))>
#<alt (* eps (* eps (+ -2/5 (* eps (* eps -2/7)))))>
#<alt (* eps -2/7)>
#<alt (* eps (+ -2/5 (* eps (* eps -2/7))))>
#<alt (* eps (* eps -2/7))>
Outputs
#<alt (* -2 eps)>
#<alt (* eps (- (* -2/3 (pow eps 2)) 2))>
#<alt (* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))>
#<alt (* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))>
#<alt (* -2/7 (pow eps 7))>
#<alt (* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* (pow eps 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -2/7 (pow eps 7))>
#<alt (* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))>
#<alt (* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (+ (* 2/5 (/ 1 (pow eps 2))) (* 2 (/ 1 (pow eps 6))))))))>
#<alt (* -2/3 (pow eps 3))>
#<alt (* (pow eps 3) (- (* -2/5 (pow eps 2)) 2/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))>
#<alt (* (pow eps 3) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))>
#<alt (* -2/7 (pow eps 7))>
#<alt (* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* (pow eps 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* -2/7 (pow eps 7))>
#<alt (* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))>
#<alt (* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))>
#<alt -2/3>
#<alt (- (* -2/5 (pow eps 2)) 2/3)>
#<alt (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)>
#<alt (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)>
#<alt (* -2/7 (pow eps 4))>
#<alt (* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* -2/7 (pow eps 4))>
#<alt (* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))>
#<alt (* -2/5 (pow eps 2))>
#<alt (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5))>
#<alt (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5))>
#<alt (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5))>
#<alt (* -2/7 (pow eps 4))>
#<alt (* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -2/7 (pow eps 4))>
#<alt (* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -2/7 eps)>
#<alt (* -2/7 eps)>
#<alt (* -2/7 eps)>
#<alt (* -2/7 eps)>
#<alt (* -2/7 eps)>
#<alt (* -2/7 eps)>
#<alt (* -2/7 eps)>
#<alt (* -2/7 eps)>
#<alt (* -2/7 eps)>
#<alt (* -2/7 eps)>
#<alt (* -2/7 eps)>
#<alt (* -2/7 eps)>
#<alt (* -2/5 eps)>
#<alt (* eps (- (* -2/7 (pow eps 2)) 2/5))>
#<alt (* eps (- (* -2/7 (pow eps 2)) 2/5))>
#<alt (* eps (- (* -2/7 (pow eps 2)) 2/5))>
#<alt (* -2/7 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -2/7 (pow eps 3))>
#<alt (* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))>
#<alt (* -2/7 (pow eps 2))>
#<alt (* -2/7 (pow eps 2))>
#<alt (* -2/7 (pow eps 2))>
#<alt (* -2/7 (pow eps 2))>
#<alt (* -2/7 (pow eps 2))>
#<alt (* -2/7 (pow eps 2))>
#<alt (* -2/7 (pow eps 2))>
#<alt (* -2/7 (pow eps 2))>
#<alt (* -2/7 (pow eps 2))>
#<alt (* -2/7 (pow eps 2))>
#<alt (* -2/7 (pow eps 2))>
#<alt (* -2/7 (pow eps 2))>
Calls

21 calls:

TimeVariablePointExpression
0.0ms
eps
@inf
(+ (* (+ -2/3 (* eps (* eps (+ -2/5 (* eps (* eps -2/7)))))) (* eps (* eps eps))) (* -2 eps))
0.0ms
eps
@inf
(* eps (+ -2/5 (* eps (* eps -2/7))))
0.0ms
eps
@-inf
(+ (* (+ -2/3 (* eps (* eps (+ -2/5 (* eps (* eps -2/7)))))) (* eps (* eps eps))) (* -2 eps))
0.0ms
eps
@0
(* eps (+ -2/5 (* eps (* eps -2/7))))
0.0ms
eps
@0
(+ (* (+ -2/3 (* eps (* eps (+ -2/5 (* eps (* eps -2/7)))))) (* eps (* eps eps))) (* -2 eps))

rewrite328.0ms (4.7%)

Algorithm
batch-egg-rewrite
Rules
5480×*-lowering-*.f32
5480×*-lowering-*.f64
2140×/-lowering-/.f32
2140×/-lowering-/.f64
1778×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01668
18260
269460
0861060
Stop Event
iter limit
node limit
Counts
7 → 223
Calls
Call 1
Inputs
(+ (* (+ -2/3 (* eps (* eps (+ -2/5 (* eps (* eps -2/7)))))) (* eps (* eps eps))) (* -2 eps))
(* (+ -2/3 (* eps (* eps (+ -2/5 (* eps (* eps -2/7)))))) (* eps (* eps eps)))
(+ -2/3 (* eps (* eps (+ -2/5 (* eps (* eps -2/7))))))
(* eps (* eps (+ -2/5 (* eps (* eps -2/7)))))
(* eps -2/7)
(* eps (+ -2/5 (* eps (* eps -2/7))))
(* eps (* eps -2/7))
Outputs
(+.f64 (*.f64 (+.f64 #s(literal -2/3 binary64) (*.f64 (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64)))) (*.f64 eps eps))) (*.f64 eps (*.f64 eps eps))) (*.f64 eps #s(literal -2 binary64)))
(+.f64 (*.f64 eps #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal -2/3 binary64) (*.f64 (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64)))) (*.f64 eps eps))) (*.f64 eps (*.f64 eps eps))))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/7 binary64)))) (*.f64 (*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))))) (*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/7 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4/25 binary64) (*.f64 (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))) (+.f64 (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))) #s(literal 2/5 binary64)))) (*.f64 eps (+.f64 #s(literal -8/125 binary64) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/343 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2/5 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/7 binary64))) (*.f64 eps (+.f64 #s(literal 4/25 binary64) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal -4/49 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4/25 binary64) (*.f64 (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))) (+.f64 (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))) #s(literal 2/5 binary64)))) (*.f64 (+.f64 #s(literal -8/125 binary64) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/343 binary64))))) eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2/5 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/7 binary64))) (*.f64 (+.f64 #s(literal 4/25 binary64) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal -4/49 binary64))) eps)))
(/.f64 (+.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/125 binary64)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/343 binary64)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))))) (+.f64 (*.f64 (*.f64 eps eps) #s(literal 4/25 binary64)) (*.f64 (*.f64 #s(literal -2/7 binary64) (*.f64 eps (*.f64 eps eps))) (-.f64 (*.f64 #s(literal -2/7 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 eps #s(literal -2/5 binary64))))))
(/.f64 (*.f64 (*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))))) (*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/7 binary64))))) (*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/7 binary64)))))
(/.f64 (*.f64 eps (+.f64 #s(literal -8/125 binary64) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/343 binary64)))))) (+.f64 #s(literal 4/25 binary64) (*.f64 (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))) (+.f64 (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))) #s(literal 2/5 binary64)))))
(/.f64 (*.f64 eps (+.f64 #s(literal 4/25 binary64) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal -4/49 binary64)))) (+.f64 #s(literal -2/5 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/7 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal -8/125 binary64) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/343 binary64))))) eps) (+.f64 #s(literal 4/25 binary64) (*.f64 (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))) (+.f64 (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))) #s(literal 2/5 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal 4/25 binary64) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal -4/49 binary64))) eps) (+.f64 #s(literal -2/5 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/7 binary64))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/125 binary64)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/343 binary64)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))))))) (neg.f64 (+.f64 (*.f64 (*.f64 eps eps) #s(literal 4/25 binary64)) (*.f64 (*.f64 #s(literal -2/7 binary64) (*.f64 eps (*.f64 eps eps))) (-.f64 (*.f64 #s(literal -2/7 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 eps #s(literal -2/5 binary64)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))))) (*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/7 binary64)))))) (neg.f64 (*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/7 binary64))))))
(/.f64 (neg.f64 (*.f64 eps (+.f64 #s(literal -8/125 binary64) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/343 binary64))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4/25 binary64) (*.f64 (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))) (+.f64 (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))) #s(literal 2/5 binary64))))))
(/.f64 (neg.f64 (*.f64 eps (+.f64 #s(literal 4/25 binary64) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal -4/49 binary64))))) (+.f64 #s(literal 2/5 binary64) (neg.f64 (*.f64 (*.f64 eps eps) #s(literal 2/7 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -8/125 binary64) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/343 binary64))))) eps)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4/25 binary64) (*.f64 (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))) (+.f64 (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))) #s(literal 2/5 binary64))))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 4/25 binary64) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal -4/49 binary64))) eps)) (+.f64 #s(literal 2/5 binary64) (neg.f64 (*.f64 (*.f64 eps eps) #s(literal 2/7 binary64)))))
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/343 binary64)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))))) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/125 binary64))) (+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 4/49 binary64))))) (-.f64 (*.f64 (*.f64 eps eps) #s(literal 4/25 binary64)) (*.f64 (*.f64 #s(literal -2/7 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 eps #s(literal -2/5 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 4/49 binary64))))) (*.f64 (*.f64 eps eps) #s(literal 4/25 binary64))) (-.f64 (*.f64 #s(literal -2/7 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 eps #s(literal -2/5 binary64))))
(*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64)))))
(*.f64 (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64)))) eps)
(*.f64 (+.f64 #s(literal -8/125 binary64) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/343 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/25 binary64) (*.f64 (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))) (+.f64 (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))) #s(literal 2/5 binary64))))) eps))
(*.f64 (+.f64 #s(literal 4/25 binary64) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal -4/49 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2/5 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/7 binary64)))) eps))
(*.f64 (+.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/125 binary64)) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/343 binary64)) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 eps eps) #s(literal 4/25 binary64)) (*.f64 (*.f64 #s(literal -2/7 binary64) (*.f64 eps (*.f64 eps eps))) (-.f64 (*.f64 #s(literal -2/7 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 eps #s(literal -2/5 binary64)))))))
(*.f64 (*.f64 (*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))))) (*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/7 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/7 binary64))))))
(*.f64 (*.f64 eps (+.f64 #s(literal -8/125 binary64) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/343 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/25 binary64) (*.f64 (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))) (+.f64 (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))) #s(literal 2/5 binary64))))))
(*.f64 (*.f64 eps (+.f64 #s(literal 4/25 binary64) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal -4/49 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2/5 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/7 binary64)))))
(*.f64 (*.f64 (+.f64 #s(literal -8/125 binary64) (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -8/343 binary64))))) eps) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4/25 binary64) (*.f64 (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))) (+.f64 (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))) #s(literal 2/5 binary64))))))
(*.f64 (*.f64 (+.f64 #s(literal 4/25 binary64) (*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal -4/49 binary64))) eps) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2/5 binary64) (*.f64 (*.f64 eps eps) #s(literal 2/7 binary64)))))
(*.f64 eps (*.f64 eps #s(literal -2/7 binary64)))
(*.f64 #s(literal -2/7 binary64) (*.f64 eps eps))
(*.f64 (*.f64 eps #s(literal -2/7 binary64)) eps)
(*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))

simplify238.0ms (3.4%)

Algorithm
egg-herbie
Rules
2430×*-lowering-*.f32
2430×*-lowering-*.f64
1656×sum3-define
1434×fnmadd-define
1328×+-lowering-+.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
079744
1222663
2724642
32297639
45975638
08009638
Stop Event
iter limit
node limit
Counts
84 → 84
Calls
Call 1
Inputs
(* -2 eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(* -2/7 (pow eps 7))
(* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -2/7 (pow eps 7))
(* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))
(* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (+ (* 2/5 (/ 1 (pow eps 2))) (* 2 (/ 1 (pow eps 6))))))))
(* -2/3 (pow eps 3))
(* (pow eps 3) (- (* -2/5 (pow eps 2)) 2/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))
(* (pow eps 3) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))
(* -2/7 (pow eps 7))
(* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* -2/7 (pow eps 7))
(* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))
(* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))
-2/3
(- (* -2/5 (pow eps 2)) 2/3)
(- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)
(- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)
(* -2/7 (pow eps 4))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* -2/7 (pow eps 4))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(* -2/5 (pow eps 2))
(* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5))
(* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5))
(* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5))
(* -2/7 (pow eps 4))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -2/7 (pow eps 4))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -2/7 eps)
(* -2/7 eps)
(* -2/7 eps)
(* -2/7 eps)
(* -2/7 eps)
(* -2/7 eps)
(* -2/7 eps)
(* -2/7 eps)
(* -2/7 eps)
(* -2/7 eps)
(* -2/7 eps)
(* -2/7 eps)
(* -2/5 eps)
(* eps (- (* -2/7 (pow eps 2)) 2/5))
(* eps (- (* -2/7 (pow eps 2)) 2/5))
(* eps (- (* -2/7 (pow eps 2)) 2/5))
(* -2/7 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -2/7 (pow eps 3))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(* -2/7 (pow eps 2))
(* -2/7 (pow eps 2))
(* -2/7 (pow eps 2))
(* -2/7 (pow eps 2))
(* -2/7 (pow eps 2))
(* -2/7 (pow eps 2))
(* -2/7 (pow eps 2))
(* -2/7 (pow eps 2))
(* -2/7 (pow eps 2))
(* -2/7 (pow eps 2))
(* -2/7 (pow eps 2))
(* -2/7 (pow eps 2))
Outputs
(* -2 eps)
(*.f64 #s(literal -2 binary64) eps)
(* eps (- (* -2/3 (pow eps 2)) 2))
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
(* eps (- (* (pow eps 2) (- (* -2/5 (pow eps 2)) 2/3)) 2))
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (*.f64 eps (*.f64 eps #s(literal -2/5 binary64)))))))
(* eps (- (* (pow eps 2) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)) 2))
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64)))))))))
(* -2/7 (pow eps 7))
(*.f64 #s(literal -2/7 binary64) (pow.f64 eps #s(literal 7 binary64)))
(* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) (-.f64 #s(literal -2/7 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps))))
(* (pow eps 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 #s(literal -2/7 binary64) (/.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) (*.f64 eps eps))))
(* (pow eps 7) (- (* -1 (/ (+ 2/3 (* 2 (/ 1 (pow eps 2)))) (pow eps 4))) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -2/3 binary64) (/.f64 #s(literal -2 binary64) (*.f64 eps eps))) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (-.f64 #s(literal -2/7 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps)))))
(* -2/7 (pow eps 7))
(*.f64 #s(literal -2/7 binary64) (pow.f64 eps #s(literal 7 binary64)))
(* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) (-.f64 #s(literal -2/7 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps))))
(* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (-.f64 #s(literal -2/7 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps))) (/.f64 #s(literal -2/3 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))))
(* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (+ (* 2/5 (/ 1 (pow eps 2))) (* 2 (/ 1 (pow eps 6))))))))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 #s(literal -2/7 binary64) (+.f64 (/.f64 #s(literal -2/3 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (+.f64 (/.f64 #s(literal -2/5 binary64) (*.f64 eps eps)) (/.f64 #s(literal -2 binary64) (pow.f64 eps #s(literal 6 binary64)))))))
(* -2/3 (pow eps 3))
(*.f64 eps (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps)))
(* (pow eps 3) (- (* -2/5 (pow eps 2)) 2/3))
(*.f64 (+.f64 #s(literal -2/3 binary64) (*.f64 eps (*.f64 eps #s(literal -2/5 binary64)))) (*.f64 eps (*.f64 eps eps)))
(* (pow eps 3) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))
(*.f64 (+.f64 #s(literal -2/3 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64)))))) (*.f64 eps (*.f64 eps eps)))
(* (pow eps 3) (- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3))
(*.f64 (+.f64 #s(literal -2/3 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64)))))) (*.f64 eps (*.f64 eps eps)))
(* -2/7 (pow eps 7))
(*.f64 #s(literal -2/7 binary64) (pow.f64 eps #s(literal 7 binary64)))
(* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) (-.f64 #s(literal -2/7 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps))))
(* (pow eps 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 #s(literal -2/7 binary64) (/.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) (*.f64 eps eps))))
(* (pow eps 7) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 #s(literal -2/7 binary64) (/.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) (*.f64 eps eps))))
(* -2/7 (pow eps 7))
(*.f64 #s(literal -2/7 binary64) (pow.f64 eps #s(literal 7 binary64)))
(* -1 (* (pow eps 7) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) (-.f64 #s(literal -2/7 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps))))
(* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (-.f64 #s(literal -2/7 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps))) (/.f64 #s(literal -2/3 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))))
(* -1 (* (pow eps 7) (+ 2/7 (+ (/ 2/3 (pow eps 4)) (* 2/5 (/ 1 (pow eps 2)))))))
(*.f64 (pow.f64 eps #s(literal 7 binary64)) (+.f64 (-.f64 #s(literal -2/7 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps))) (/.f64 #s(literal -2/3 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))))))
-2/3
#s(literal -2/3 binary64)
(- (* -2/5 (pow eps 2)) 2/3)
(+.f64 #s(literal -2/3 binary64) (*.f64 eps (*.f64 eps #s(literal -2/5 binary64))))
(- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)
(+.f64 #s(literal -2/3 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))))))
(- (* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5)) 2/3)
(+.f64 #s(literal -2/3 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))))))
(* -2/7 (pow eps 4))
(*.f64 eps (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 #s(literal -2/7 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps))))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(*.f64 (+.f64 #s(literal -2/7 binary64) (/.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) (*.f64 eps eps))) (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(*.f64 (+.f64 #s(literal -2/7 binary64) (/.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) (*.f64 eps eps))) (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(* -2/7 (pow eps 4))
(*.f64 eps (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 #s(literal -2/7 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps))))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(*.f64 (+.f64 #s(literal -2/7 binary64) (/.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) (*.f64 eps eps))) (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(* (pow eps 4) (- (* -1 (/ (+ 2/5 (* 2/3 (/ 1 (pow eps 2)))) (pow eps 2))) 2/7))
(*.f64 (+.f64 #s(literal -2/7 binary64) (/.f64 (-.f64 #s(literal -2/5 binary64) (/.f64 #s(literal 2/3 binary64) (*.f64 eps eps))) (*.f64 eps eps))) (*.f64 eps (*.f64 eps (*.f64 eps eps))))
(* -2/5 (pow eps 2))
(*.f64 eps (*.f64 eps #s(literal -2/5 binary64)))
(* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5))
(*.f64 eps (*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64)))))
(* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5))
(*.f64 eps (*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64)))))
(* (pow eps 2) (- (* -2/7 (pow eps 2)) 2/5))
(*.f64 eps (*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64)))))
(* -2/7 (pow eps 4))
(*.f64 eps (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 #s(literal -2/7 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps))))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 #s(literal -2/7 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps))))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 #s(literal -2/7 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps))))
(* -2/7 (pow eps 4))
(*.f64 eps (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 #s(literal -2/7 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps))))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 #s(literal -2/7 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps))))
(* -1 (* (pow eps 4) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (-.f64 #s(literal -2/7 binary64) (/.f64 #s(literal 2/5 binary64) (*.f64 eps eps))))
(* -2/7 eps)
(*.f64 eps #s(literal -2/7 binary64))
(* -2/7 eps)
(*.f64 eps #s(literal -2/7 binary64))
(* -2/7 eps)
(*.f64 eps #s(literal -2/7 binary64))
(* -2/7 eps)
(*.f64 eps #s(literal -2/7 binary64))
(* -2/7 eps)
(*.f64 eps #s(literal -2/7 binary64))
(* -2/7 eps)
(*.f64 eps #s(literal -2/7 binary64))
(* -2/7 eps)
(*.f64 eps #s(literal -2/7 binary64))
(* -2/7 eps)
(*.f64 eps #s(literal -2/7 binary64))
(* -2/7 eps)
(*.f64 eps #s(literal -2/7 binary64))
(* -2/7 eps)
(*.f64 eps #s(literal -2/7 binary64))
(* -2/7 eps)
(*.f64 eps #s(literal -2/7 binary64))
(* -2/7 eps)
(*.f64 eps #s(literal -2/7 binary64))
(* -2/5 eps)
(*.f64 eps #s(literal -2/5 binary64))
(* eps (- (* -2/7 (pow eps 2)) 2/5))
(*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))))
(* eps (- (* -2/7 (pow eps 2)) 2/5))
(*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))))
(* eps (- (* -2/7 (pow eps 2)) 2/5))
(*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))))
(* -2/7 (pow eps 3))
(*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64)))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))))
(* -2/7 (pow eps 3))
(*.f64 eps (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64)))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))))
(* -1 (* (pow eps 3) (+ 2/7 (* 2/5 (/ 1 (pow eps 2))))))
(*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))))
(* -2/7 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))
(* -2/7 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))
(* -2/7 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))
(* -2/7 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))
(* -2/7 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))
(* -2/7 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))
(* -2/7 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))
(* -2/7 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))
(* -2/7 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))
(* -2/7 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))
(* -2/7 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))
(* -2/7 (pow eps 2))
(*.f64 (*.f64 eps eps) #s(literal -2/7 binary64))

eval41.0ms (0.6%)

Compiler

Compiled 15169 to 1062 computations (93% saved)

prune30.0ms (0.4%)

Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New3070307
Fresh000
Picked011
Done044
Total3075312
Accuracy
100.0%
Counts
312 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (*.f64 (+.f64 #s(literal -2/3 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))))))) (*.f64 eps (*.f64 eps eps))) (*.f64 #s(literal -2 binary64) eps))
100.0%
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64)))))))))
99.9%
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64))))))
99.8%
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
99.4%
(*.f64 #s(literal -2 binary64) eps)
Compiler

Compiled 156 to 84 computations (46.2% saved)

regimes9.0ms (0.1%)

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

3 calls:

2.0ms
eps
2.0ms
(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
2.0ms
(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
Results
AccuracySegmentsBranch
100.0%1eps
100.0%1(log.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
100.0%1(/.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
Compiler

Compiled 19 to 12 computations (36.8% saved)

regimes2.0ms (0%)

Counts
4 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -2 binary64) eps)
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64))))))
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64)))))))))
Outputs
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64)))))))))
Calls

1 calls:

2.0ms
eps
Results
AccuracySegmentsBranch
100.0%1eps
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -2 binary64) eps)
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64))))))
Outputs
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64))))))
Calls

1 calls:

2.0ms
eps
Results
AccuracySegmentsBranch
99.9%1eps
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal -2 binary64) eps)
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
Outputs
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
Calls

1 calls:

1.0ms
eps
Results
AccuracySegmentsBranch
99.8%1eps
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
(*.f64 #s(literal -2 binary64) eps)
Outputs
(*.f64 #s(literal -2 binary64) eps)
Calls

1 calls:

1.0ms
eps
Results
AccuracySegmentsBranch
99.4%1eps
Compiler

Compiled 2 to 1 computations (50% saved)

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Rules
30×*-commutative_binary64
16×+-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02971
15271
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 (+.f64 #s(literal -2/3 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))))))) (*.f64 eps (*.f64 eps eps))) (*.f64 #s(literal -2 binary64) eps))
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64)))))))))
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64))))))
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
(*.f64 #s(literal -2 binary64) eps)
Outputs
(+.f64 (*.f64 (+.f64 #s(literal -2/3 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))))))) (*.f64 eps (*.f64 eps eps))) (*.f64 #s(literal -2 binary64) eps))
(+.f64 (*.f64 (+.f64 #s(literal -2/3 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64))))))) (*.f64 eps (*.f64 eps eps))) (*.f64 eps #s(literal -2 binary64)))
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64)))))))))
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (*.f64 (+.f64 #s(literal -2/5 binary64) (*.f64 eps (*.f64 eps #s(literal -2/7 binary64)))) (*.f64 eps eps))))))
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (*.f64 (*.f64 eps eps) #s(literal -2/5 binary64))))))
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 eps eps) (+.f64 #s(literal -2/3 binary64) (*.f64 #s(literal -2/5 binary64) (*.f64 eps eps))))))
(*.f64 eps (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2/3 binary64) (*.f64 eps eps))))
(*.f64 #s(literal -2 binary64) eps)
(*.f64 eps #s(literal -2 binary64))

soundness907.0ms (13%)

Rules
4112×*-lowering-*.f32
4112×*-lowering-*.f64
2910×/-lowering-/.f32
2910×/-lowering-/.f64
2306×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
089287
1257253
2612248
31626246
44074246
08245246
023130
1157113
21448113
08274113
Stop Event
done
iter limit
node limit
iter limit
node limit
Compiler

Compiled 105 to 52 computations (50.5% saved)

preprocess40.0ms (0.6%)

Compiler

Compiled 176 to 80 computations (54.5% saved)

end0.0ms (0%)

Profiling

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