Details

Time bar (total: 3.1s)

analyze442.0ms (14.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
25%74.9%0.1%7
37.4%62.4%0.1%8
39%60.8%0.1%9
51.5%48.4%0.1%10
58.5%39.8%1.7%11
59.3%37.6%3.1%12
65.7%28.5%5.8%13
69.1%23.5%7.4%14
Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.3s (39.9%)

Results
844.0ms8256×body128valid
166.0ms1322×body128invalid
Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify30.0ms (1%)

Algorithm
egg-herbie
Rules
377×fma-neg_binary64
309×fma-def_binary64
112×cancel-sign-sub-inv_binary64
77×distribute-rgt-in_binary64
56×unsub-neg_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11310
22410
34210
48010
513810
630210
742010
858110
964710
1071810
1174010
1274410
1369910

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.0b
(+.f64 x (/.f64 (-.f64 y x) z))
Compiler

Compiled 30 to 18 computations (40% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (/.f64 (-.f64 y x) z))
0.0b
(/.f64 (-.f64 y x) z)

series21.0ms (0.7%)

Counts
2 → 64
Calls

2 calls:

11.0ms
(+.f64 x (/.f64 (-.f64 y x) z))
9.0ms
(/.f64 (-.f64 y x) z)

rewrite14.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity_binary64
21×add-sqr-sqrt_binary64
15×times-frac_binary64
13×add-cube-cbrt_binary64
associate-/l*_binary64
Counts
2 → 58
Calls

2 calls:

7.0ms
(+.f64 x (/.f64 (-.f64 y x) z))
4.0ms
(/.f64 (-.f64 y x) z)

simplify82.0ms (2.6%)

Algorithm
egg-herbie
Rules
712×fma-neg_binary64
598×times-frac_binary64
572×associate-/l*_binary64
274×div-sub_binary64
243×distribute-rgt-in_binary64
Counts
122 → 81
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01111378
12731269
26361260
318931260
444351260
550031260

prune66.0ms (2.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New79281
Fresh000
Picked101
Done000
Total80282
Error
0b
Counts
82 → 2
Alt Table
StatusErrorProgram
0.2b
(+.f64 x (/.f64 1 (/.f64 z (-.f64 y x))))
0.0b
(+.f64 x (-.f64 (/.f64 y z) (/.f64 x z)))
Compiler

Compiled 1125 to 324 computations (71.2% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (-.f64 (/.f64 y z) (/.f64 x z)))
0.0b
(-.f64 (/.f64 y z) (/.f64 x z))

series32.0ms (1%)

Counts
2 → 54
Calls

2 calls:

17.0ms
(+.f64 x (-.f64 (/.f64 y z) (/.f64 x z)))
14.0ms
(-.f64 (/.f64 y z) (/.f64 x z))

rewrite123.0ms (3.9%)

Algorithm
rewrite-expression-head
Rules
505×times-frac_binary64
403×*-un-lft-identity_binary64
402×add-sqr-sqrt_binary64
390×add-cube-cbrt_binary64
338×prod-diff_binary64
Counts
2 → 422
Calls

2 calls:

23.0ms
(+.f64 x (-.f64 (/.f64 y z) (/.f64 x z)))
15.0ms
(-.f64 (/.f64 y z) (/.f64 x z))

simplify309.0ms (9.8%)

Algorithm
egg-herbie
Rules
428×fma-neg_binary64
398×associate-/l*_binary64
347×distribute-rgt-in_binary64
321×distribute-lft-in_binary64
211×+-commutative_binary64
Counts
476 → 571
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
048514576
110139837
217488049
345078007
448568007

prune280.0ms (8.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New5710571
Fresh011
Picked011
Done000
Total5712573
Error
0b
Counts
573 → 2
Alt Table
StatusErrorProgram
0.2b
(+.f64 x (/.f64 1 (/.f64 z (-.f64 y x))))
0.0b
(+.f64 x (-.f64 (/.f64 y z) (/.f64 x z)))
Compiler

Compiled 22013 to 4379 computations (80.1% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (/.f64 1 (/.f64 z (-.f64 y x))))
0.0b
(/.f64 z (-.f64 y x))
0.3b
(/.f64 1 (/.f64 z (-.f64 y x)))

series37.0ms (1.2%)

Counts
3 → 96
Calls

3 calls:

17.0ms
(/.f64 z (-.f64 y x))
11.0ms
(+.f64 x (/.f64 1 (/.f64 z (-.f64 y x))))
9.0ms
(/.f64 1 (/.f64 z (-.f64 y x)))

rewrite46.0ms (1.5%)

Algorithm
rewrite-expression-head
Rules
138×times-frac_binary64
107×*-un-lft-identity_binary64
104×add-sqr-sqrt_binary64
72×add-cube-cbrt_binary64
26×associate-/r*_binary64
Counts
3 → 167
Calls

3 calls:

23.0ms
(+.f64 x (/.f64 1 (/.f64 z (-.f64 y x))))
7.0ms
(/.f64 1 (/.f64 z (-.f64 y x)))
4.0ms
(/.f64 z (-.f64 y x))

simplify186.0ms (5.9%)

Algorithm
egg-herbie
Rules
492×fma-neg_binary64
390×times-frac_binary64
376×fma-def_binary64
319×associate-/l*_binary64
287×distribute-rgt-in_binary64
Counts
263 → 229
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02014146
14473761
212813568
341643568
449623568
551903568

prune98.0ms (3.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2290229
Fresh000
Picked011
Done011
Total2292231
Error
0b
Counts
231 → 2
Alt Table
StatusErrorProgram
0.2b
(+.f64 x (/.f64 1 (/.f64 z (-.f64 y x))))
0.0b
(+.f64 x (-.f64 (/.f64 y z) (/.f64 x z)))
Compiler

Compiled 4082 to 1503 computations (63.2% saved)

regimes61.0ms (1.9%)

Accuracy

Total 0.0b remaining (45.8%)

Threshold costs 0.0b (45.8%)

Counts
15 → 1
Compiler

Compiled 628 to 422 computations (32.8% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
cancel-sign-sub-inv_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11810
22810
34210
45410
55710
65310

end38.0ms (1.2%)

Compiler

Compiled 44 to 27 computations (38.6% saved)

Profiling

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