Details

Time bar (total: 2.0s)

analyze319.0ms (16.1%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
12.5%12.5%87.4%0.1%0%0%0%7
18.8%18.7%81.1%0.1%0%0%0%8
25.6%25%72.5%0.1%2.3%0%0%9
36.7%34.3%59.3%0.1%6.2%0%0%10
44.2%40.6%51.3%0.1%8%0%0%11
52.1%46.8%43%0.1%10%0%0%12
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.2s (62.1%)

Results
1.0s8256×body256valid
171.0ms1161×body256infinite
Bogosity

preprocess114.0ms (5.8%)

Algorithm
egg-herbie
Rules
1690×fma-def
550×associate-+r+
544×associate-+l+
472×associate-+l-
364×associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01776
13360
27660
315460
428760
572960
6182760
7255760
8323260
9363860
10366660
11366660
033
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
2
Outputs
0
1
2
Call 2
Inputs
(+.f64 x (*.f64 y (-.f64 z x)))
(+.f64 y (*.f64 x (-.f64 z y)))
(+.f64 z (*.f64 y (-.f64 x z)))
(+.f64 x (*.f64 z (-.f64 y x)))
Outputs
(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) x)
(+.f64 y (*.f64 x (-.f64 z y)))
(fma.f64 x (-.f64 z y) y)
(+.f64 z (*.f64 y (-.f64 x z)))
(fma.f64 y (-.f64 x z) z)
(+.f64 x (*.f64 z (-.f64 y x)))
(fma.f64 z (-.f64 y x) x)
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify41.0ms (2.1%)

Algorithm
egg-herbie
Rules
614×fma-def
222×associate--r+
214×associate-+r+
198×associate-+l+
160×associate-+l-
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0819
11315
22715
35315
49215
517515
630515
752715
8109415
9144815
10160115
11160815
Stop Event
saturated
Counts
1 → 2
Calls
Call 1
Inputs
(+.f64 x (*.f64 y (-.f64 z x)))
Outputs
(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 y (-.f64 z x) x)

eval0.0ms (0%)

Compiler

Compiled 16 to 7 computations (56.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
0b
Counts
3 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(+.f64 x (*.f64 y (-.f64 z x)))
Compiler

Compiled 10 to 6 computations (40% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(*.f64 y (-.f64 z x))
Compiler

Compiled 21 to 6 computations (71.4% saved)

series3.0ms (0.1%)

Counts
1 → 24
Calls

9 calls:

TimeVariablePointExpression
0.0ms
z
@-inf
(*.f64 y (-.f64 z x))
0.0ms
y
@0
(*.f64 y (-.f64 z x))
0.0ms
y
@-inf
(*.f64 y (-.f64 z x))
0.0ms
z
@inf
(*.f64 y (-.f64 z x))
0.0ms
y
@inf
(*.f64 y (-.f64 z x))

rewrite61.0ms (3.1%)

Algorithm
batch-egg-rewrite
Rules
1662×add-sqr-sqrt
1646×*-un-lft-identity
1534×add-cube-cbrt
1514×add-cbrt-cube
160×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
114913
2200113
Stop Event
node limit
Counts
1 → 19
Calls
Call 1
Inputs
(*.f64 y (-.f64 z x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y z) (*.f64 y (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z y) (*.f64 (neg.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 z x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (*.f64 z z) (*.f64 x x))) (+.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 (pow.f64 z 3) (pow.f64 x 3))) (fma.f64 z z (*.f64 x (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) (+.f64 z x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 z 3) (pow.f64 x 3)) y) (fma.f64 z z (*.f64 x (+.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (-.f64 z x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (-.f64 z x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (-.f64 z x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (-.f64 z x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 z x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (-.f64 z x))))))))

simplify63.0ms (3.2%)

Algorithm
egg-herbie
Rules
1232×fma-def
1218×associate-*r/
832×associate-*r*
756×associate-*l*
566×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066611
1160611
2457611
32973611
46641611
Stop Event
node limit
Counts
43 → 28
Calls
Call 1
Inputs
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 -1 (*.f64 y x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(+.f64 (*.f64 y z) (*.f64 y (neg.f64 x)))
(+.f64 (*.f64 z y) (*.f64 (neg.f64 x) y))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 z x)))) 1)
(/.f64 (*.f64 y (-.f64 (*.f64 z z) (*.f64 x x))) (+.f64 z x))
(/.f64 (*.f64 y (-.f64 (pow.f64 z 3) (pow.f64 x 3))) (fma.f64 z z (*.f64 x (+.f64 z x))))
(/.f64 (*.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) (+.f64 z x))
(/.f64 (*.f64 (-.f64 (pow.f64 z 3) (pow.f64 x 3)) y) (fma.f64 z z (*.f64 x (+.f64 z x))))
(pow.f64 (*.f64 y (-.f64 z x)) 1)
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) 2)
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) 3)
(pow.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 2))
(log.f64 (pow.f64 (exp.f64 (-.f64 z x)) y))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (-.f64 z x)))))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 z x))))
(exp.f64 (log.f64 (*.f64 y (-.f64 z x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 z x))) 1))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 z x))))
Outputs
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(*.f64 y z)
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(*.f64 -1 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 -1 (*.f64 y x)))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 y z) (*.f64 y (neg.f64 x)))
(*.f64 y (-.f64 z x))
(+.f64 (*.f64 z y) (*.f64 (neg.f64 x) y))
(*.f64 y (-.f64 z x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (-.f64 z x)))) 1)
(*.f64 y (-.f64 z x))
(/.f64 (*.f64 y (-.f64 (*.f64 z z) (*.f64 x x))) (+.f64 z x))
(*.f64 y (-.f64 z x))
(/.f64 (*.f64 y (-.f64 (pow.f64 z 3) (pow.f64 x 3))) (fma.f64 z z (*.f64 x (+.f64 z x))))
(/.f64 (*.f64 y (-.f64 (pow.f64 z 3) (pow.f64 x 3))) (fma.f64 z z (*.f64 x (+.f64 x z))))
(*.f64 (/.f64 y (fma.f64 z z (*.f64 x (+.f64 x z)))) (-.f64 (pow.f64 z 3) (pow.f64 x 3)))
(*.f64 y (/.f64 (-.f64 (pow.f64 z 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x z) (*.f64 z z))))
(*.f64 (-.f64 (pow.f64 z 3) (pow.f64 x 3)) (/.f64 y (fma.f64 x x (*.f64 z (+.f64 x z)))))
(/.f64 (*.f64 (-.f64 (*.f64 z z) (*.f64 x x)) y) (+.f64 z x))
(*.f64 y (-.f64 z x))
(/.f64 (*.f64 (-.f64 (pow.f64 z 3) (pow.f64 x 3)) y) (fma.f64 z z (*.f64 x (+.f64 z x))))
(/.f64 (*.f64 y (-.f64 (pow.f64 z 3) (pow.f64 x 3))) (fma.f64 z z (*.f64 x (+.f64 x z))))
(*.f64 (/.f64 y (fma.f64 z z (*.f64 x (+.f64 x z)))) (-.f64 (pow.f64 z 3) (pow.f64 x 3)))
(*.f64 y (/.f64 (-.f64 (pow.f64 z 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x z) (*.f64 z z))))
(*.f64 (-.f64 (pow.f64 z 3) (pow.f64 x 3)) (/.f64 y (fma.f64 x x (*.f64 z (+.f64 x z)))))
(pow.f64 (*.f64 y (-.f64 z x)) 1)
(*.f64 y (-.f64 z x))
(pow.f64 (sqrt.f64 (*.f64 y (-.f64 z x))) 2)
(*.f64 y (-.f64 z x))
(pow.f64 (cbrt.f64 (*.f64 y (-.f64 z x))) 3)
(*.f64 y (-.f64 z x))
(pow.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3) 1/3)
(*.f64 y (-.f64 z x))
(sqrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 2))
(*.f64 y (-.f64 z x))
(log.f64 (pow.f64 (exp.f64 (-.f64 z x)) y))
(*.f64 y (-.f64 z x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (-.f64 z x)))))
(*.f64 y (-.f64 z x))
(cbrt.f64 (pow.f64 (*.f64 y (-.f64 z x)) 3))
(*.f64 y (-.f64 z x))
(expm1.f64 (log1p.f64 (*.f64 y (-.f64 z x))))
(*.f64 y (-.f64 z x))
(exp.f64 (log.f64 (*.f64 y (-.f64 z x))))
(*.f64 y (-.f64 z x))
(exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 z x))) 1))
(*.f64 y (-.f64 z x))
(log1p.f64 (expm1.f64 (*.f64 y (-.f64 z x))))
(*.f64 y (-.f64 z x))

eval5.0ms (0.2%)

Compiler

Compiled 338 to 140 computations (58.6% saved)

prune5.0ms (0.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New26228
Fresh000
Picked011
Done000
Total26329
Error
0b
Counts
29 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(+.f64 x (*.f64 y (-.f64 z x)))
24.4b
(+.f64 x (*.f64 y (neg.f64 x)))
11.3b
(+.f64 x (*.f64 y z))
Compiler

Compiled 27 to 17 computations (37% saved)

localize5.0ms (0.2%)

Compiler

Compiled 14 to 5 computations (64.3% saved)

localize6.0ms (0.3%)

Compiler

Compiled 17 to 6 computations (64.7% saved)

eval0.0ms (0%)

Compiler

Compiled 3 to 3 computations (0% saved)

prune19.0ms (0.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done022
Total033
Error
0b
Counts
3 → 3
Alt Table
Click to see full alt table
StatusErrorProgram
0b
(+.f64 x (*.f64 y (-.f64 z x)))
24.4b
(+.f64 x (*.f64 y (neg.f64 x)))
11.3b
(+.f64 x (*.f64 y z))
Compiler

Compiled 27 to 17 computations (37% saved)

regimes13.0ms (0.7%)

Counts
3 → 1
Calls
Call 1
Inputs
(+.f64 x (*.f64 y z))
(+.f64 x (*.f64 y (neg.f64 x)))
(+.f64 x (*.f64 y (-.f64 z x)))
Outputs
(+.f64 x (*.f64 y (-.f64 z x)))
Calls

4 calls:

3.0ms
(+.f64 x (*.f64 y (-.f64 z x)))
3.0ms
y
3.0ms
z
3.0ms
x
Results
ErrorSegmentsBranch
0b1x
0b1y
0b1z
0b1(+.f64 x (*.f64 y (-.f64 z x)))
Compiler

Compiled 43 to 26 computations (39.5% saved)

regimes36.0ms (1.8%)

Accuracy

Total -29.3b remaining (-494.2%)

Threshold costs -29.3b (-494.2%)

Counts
2 → 3
Calls
Call 1
Inputs
(+.f64 x (*.f64 y z))
(+.f64 x (*.f64 y (neg.f64 x)))
Outputs
(+.f64 x (*.f64 y z))
(+.f64 x (*.f64 y (neg.f64 x)))
(+.f64 x (*.f64 y z))
Calls

3 calls:

13.0ms
y
11.0ms
x
10.0ms
z
Results
ErrorSegmentsBranch
6.8b3x
8.4b5y
5.9b3z
Compiler

Compiled 26 to 17 computations (34.6% saved)

bsearch26.0ms (1.3%)

Algorithm
binary-search
Steps
TimeLeftRight
14.0ms
1.7941790134227301e-180
5.629574835526104e-176
12.0ms
-1.5733215855734287e-160
-9.467440828114776e-162
Results
23.0ms240×body256valid
Compiler

Compiled 301 to 206 computations (31.6% saved)

simplify6.0ms (0.3%)

Algorithm
egg-herbie
Rules
16×*-commutative
14×+-commutative
sub-neg
neg-mul-1
neg-sub0
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02387
14183
25083
35683
45983
56083
Stop Event
done
saturated
Calls
Call 1
Inputs
(+.f64 x (*.f64 y (-.f64 z x)))
(if (<=.f64 z -1147613062835205/7914572847139345089936080672628710081124203171238778877250017794972711203409019749450124833959777439667125485632516458859243681097816038718961476963260581373331416708758372352) (+.f64 x (*.f64 y z)) (if (<=.f64 z 1960423702884537/35644067325173400145634153169533525975728347712879374457649941546088087243817792082077443838416964060770643043543706307114755505635745609361348916560329798345718708393439569922522454626926592) (+.f64 x (*.f64 y (neg.f64 x))) (+.f64 x (*.f64 y z))))
(+.f64 x (*.f64 y z))
Outputs
(+.f64 x (*.f64 y (-.f64 z x)))
(if (<=.f64 z -1147613062835205/7914572847139345089936080672628710081124203171238778877250017794972711203409019749450124833959777439667125485632516458859243681097816038718961476963260581373331416708758372352) (+.f64 x (*.f64 y z)) (if (<=.f64 z 1960423702884537/35644067325173400145634153169533525975728347712879374457649941546088087243817792082077443838416964060770643043543706307114755505635745609361348916560329798345718708393439569922522454626926592) (+.f64 x (*.f64 y (neg.f64 x))) (+.f64 x (*.f64 y z))))
(if (or (<=.f64 z -1147613062835205/7914572847139345089936080672628710081124203171238778877250017794972711203409019749450124833959777439667125485632516458859243681097816038718961476963260581373331416708758372352) (not (<=.f64 z 1960423702884537/35644067325173400145634153169533525975728347712879374457649941546088087243817792082077443838416964060770643043543706307114755505635745609361348916560329798345718708393439569922522454626926592))) (+.f64 x (*.f64 y z)) (+.f64 x (*.f64 y (neg.f64 x))))
(if (or (<=.f64 z -1147613062835205/7914572847139345089936080672628710081124203171238778877250017794972711203409019749450124833959777439667125485632516458859243681097816038718961476963260581373331416708758372352) (not (<=.f64 z 1960423702884537/35644067325173400145634153169533525975728347712879374457649941546088087243817792082077443838416964060770643043543706307114755505635745609361348916560329798345718708393439569922522454626926592))) (+.f64 x (*.f64 y z)) (-.f64 x (*.f64 x y)))
(+.f64 x (*.f64 y z))
Compiler

Compiled 40 to 25 computations (37.5% saved)

soundness0.0ms (0%)

end23.0ms (1.2%)

Compiler

Compiled 34 to 17 computations (50% saved)

Profiling

Loading profile data...