Details

Time bar (total: 5.6s)

analyze3.0ms (0.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%56.2%43.8%0
0%56.2%43.8%1
0%56.2%43.8%2
42.1%14%43.8%3
42.1%14%43.8%4
52.7%3.5%43.8%5
56.2%0%43.8%6
Compiler

Compiled 44 to 29 computations (34.1% saved)

sample1.2s (21.3%)

Results
1.2s8256×body128valid
Compiler

Compiled 88 to 58 computations (34.1% saved)

preprocess28.0ms (0.5%)

Algorithm
egg-herbie
Rules
822×distribute-rgt-in_binary64
782×distribute-lft-in_binary64
531×associate-+r+_binary64
531×associate-+l+_binary64
328×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02480
16176
216176
383174
022
122
Stop Event
unsound
node limit
Symmetry

(sort alpha beta)

Compiler

Compiled 37 to 24 computations (35.1% saved)

simplify26.0ms (0.5%)

Algorithm
egg-herbie
Rules
689×distribute-rgt-in_binary64
661×distribute-lft-in_binary64
470×associate-*l*_binary64
388×associate-+r+_binary64
387×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01540
13638
211738
362537
4429137
5494437
Stop Event
node limit
Counts
1 → 2

prune5.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.8b
Counts
3 → 2
Alt Table
StatusErrorProgram
3.4b
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
1.3b
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
Compiler

Compiled 190 to 127 computations (33.2% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3)))
0.0b
(*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))
0.2b
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
20.5b
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))

series128.0ms (2.3%)

Counts
4 → 96
Calls

24 calls:

29.0ms
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
alpha
0
28.0ms
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
beta
0
9.0ms
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
alpha
0
8.0ms
(/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2))))
beta
0
7.0ms
(/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3)))
beta
-inf

rewrite41.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
210×add-sqr-sqrt_binary64
205×*-un-lft-identity_binary64
205×pow1_binary64
197×add-cbrt-cube_binary64
197×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01670
139870
Stop Event
node limit
Counts
4 → 119

simplify104.0ms (1.9%)

Algorithm
egg-herbie
Rules
812×fma-def_binary64
798×times-frac_binary64
289×+-commutative_binary64
228×associate-+r+_binary64
181×*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07628369
127398280
Stop Event
node limit
Counts
215 → 227

prune453.0ms (8.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New2234227
Fresh011
Picked101
Done000
Total2245229
Error
0.0b
Counts
229 → 5
Alt Table
StatusErrorProgram
0.8b
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))
7.0b
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (+.f64 beta (+.f64 alpha 3)) 3))) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
0.6b
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (+.f64 alpha (+.f64 beta 2))))
3.4b
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
0.4b
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (+.f64 alpha (+.f64 beta 2))) (/.f64 (cbrt.f64 (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))))
Compiler

Compiled 13649 to 10020 computations (26.6% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (+.f64 alpha (+.f64 beta 2)))
0.2b
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (+.f64 alpha (+.f64 beta 2))) (/.f64 (cbrt.f64 (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2))))
0.3b
(cbrt.f64 (+.f64 beta 1))
0.4b
(pow.f64 (cbrt.f64 (+.f64 beta 1)) 2)

series73.0ms (1.3%)

Counts
4 → 48
Calls

18 calls:

11.0ms
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (+.f64 alpha (+.f64 beta 2))) (/.f64 (cbrt.f64 (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2))))
alpha
0
8.0ms
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (+.f64 alpha (+.f64 beta 2))) (/.f64 (cbrt.f64 (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2))))
beta
0
6.0ms
(/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (+.f64 alpha (+.f64 beta 2)))
beta
-inf
6.0ms
(/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (+.f64 alpha (+.f64 beta 2)))
alpha
inf
6.0ms
(/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (+.f64 alpha (+.f64 beta 2)))
alpha
-inf

rewrite88.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
764×prod-diff_binary64
151×add-sqr-sqrt_binary64
147×pow1_binary64
146×*-un-lft-identity_binary64
141×add-cbrt-cube_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01355
130149
2433049
Stop Event
node limit
Counts
4 → 129

simplify77.0ms (1.4%)

Algorithm
egg-herbie
Rules
366×fma-def_binary64
344×associate-+r+_binary64
290×+-commutative_binary64
247×associate-+l+_binary64
199×associate-/l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03553379
111633239
249943239
Stop Event
node limit
Counts
177 → 195

prune396.0ms (7.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2251226
Fresh044
Picked011
Done000
Total2256231
Error
0.0b
Counts
231 → 6
Alt Table
StatusErrorProgram
0.8b
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))
0.9b
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (+.f64 beta (+.f64 2 alpha)))) 3) (/.f64 (cbrt.f64 (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))))
7.0b
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (+.f64 beta (+.f64 alpha 3)) 3))) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
0.6b
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (+.f64 alpha (+.f64 beta 2))))
3.4b
(/.f64 (/.f64 (/.f64 (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 beta alpha)) 1) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 alpha beta) (*.f64 2 1))) (+.f64 (+.f64 (+.f64 alpha beta) (*.f64 2 1)) 1))
0.4b
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (+.f64 alpha (+.f64 beta 2))) (/.f64 (cbrt.f64 (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))))
Compiler

Compiled 10695 to 7905 computations (26.1% saved)

localize41.0ms (0.7%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha))
0.0b
(/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2)))
0.0b
(*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (+.f64 alpha (+.f64 beta 2)))
0.5b
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (+.f64 alpha (+.f64 beta 2))))

series131.0ms (2.3%)

Counts
4 → 96
Calls

24 calls:

31.0ms
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (+.f64 alpha (+.f64 beta 2))))
alpha
0
29.0ms
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (+.f64 alpha (+.f64 beta 2))))
beta
0
18.0ms
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (+.f64 alpha (+.f64 beta 2))))
beta
inf
4.0ms
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (+.f64 alpha (+.f64 beta 2))))
alpha
inf
4.0ms
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2))) (*.f64 (/.f64 (+.f64 beta (+.f64 alpha 3)) (+.f64 1 alpha)) (+.f64 alpha (+.f64 beta 2))))
beta
-inf

rewrite55.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
212×add-sqr-sqrt_binary64
207×*-un-lft-identity_binary64
207×pow1_binary64
199×add-cbrt-cube_binary64
199×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01685
140185
Stop Event
node limit
Counts
4 → 125

simplify100.0ms (1.8%)

Algorithm
egg-herbie
Rules
747×times-frac_binary64
645×fma-def_binary64
569×associate-/l*_binary64
240×+-commutative_binary64
188×associate-+r+_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06347206
123457174
Stop Event
node limit
Counts
221 → 231

prune441.0ms (7.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2292231
Fresh224
Picked101
Done011
Total2325237
Error
0b
Counts
237 → 5
Alt Table
StatusErrorProgram
0.4b
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (+.f64 alpha (+.f64 beta 2))) (/.f64 (cbrt.f64 (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))))
0.1b
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2))) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 (+.f64 beta alpha) 3) (+.f64 1 alpha))))
0.8b
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))
7.0b
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (+.f64 beta (+.f64 alpha 3)) 3))) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
0.5b
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 (/.f64 beta (+.f64 1 alpha)) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 3 (+.f64 1 alpha)))) (+.f64 alpha (+.f64 beta 2))))
Compiler

Compiled 12987 to 9312 computations (28.3% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 1 (+.f64 alpha (+.f64 beta 2)))
0.0b
(/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2)))
0.0b
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2))) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 (+.f64 beta alpha) 3) (+.f64 1 alpha))))
0.1b
(/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 (+.f64 beta alpha) 3) (+.f64 1 alpha)))

series125.0ms (2.2%)

Counts
3 → 72
Calls

18 calls:

29.0ms
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2))) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 (+.f64 beta alpha) 3) (+.f64 1 alpha))))
alpha
0
28.0ms
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2))) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 (+.f64 beta alpha) 3) (+.f64 1 alpha))))
beta
0
13.0ms
(/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 (+.f64 beta alpha) 3) (+.f64 1 alpha)))
beta
0
11.0ms
(/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 (+.f64 beta alpha) 3) (+.f64 1 alpha)))
alpha
0
5.0ms
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2))) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 (+.f64 beta alpha) 3) (+.f64 1 alpha))))
beta
inf

rewrite43.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
220×add-sqr-sqrt_binary64
214×*-un-lft-identity_binary64
214×pow1_binary64
206×add-cbrt-cube_binary64
206×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01772
142469
Stop Event
node limit
Counts
3 → 86

simplify127.0ms (2.3%)

Algorithm
egg-herbie
Rules
772×fma-def_binary64
734×associate-/l*_binary64
258×+-commutative_binary64
204×associate-+r+_binary64
184×*-commutative_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07238040
127428000
Stop Event
node limit
Counts
158 → 172

prune492.0ms (8.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2280228
Fresh033
Picked011
Done011
Total2285233
Error
0b
Counts
233 → 5
Alt Table
StatusErrorProgram
0.4b
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 beta 1)) 2) (+.f64 alpha (+.f64 beta 2))) (/.f64 (cbrt.f64 (+.f64 beta 1)) (+.f64 alpha (+.f64 beta 2)))))
0.1b
(*.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2))) (/.f64 (/.f64 1 (+.f64 alpha (+.f64 beta 2))) (/.f64 (+.f64 (+.f64 beta alpha) 3) (+.f64 1 alpha))))
0.8b
(*.f64 (/.f64 (+.f64 alpha 1) (+.f64 beta (+.f64 alpha 3))) (*.f64 (+.f64 beta 1) (pow.f64 (+.f64 alpha (+.f64 beta 2)) -2)))
7.0b
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (+.f64 1 alpha) 3) (pow.f64 (+.f64 beta (+.f64 alpha 3)) 3))) (/.f64 (+.f64 beta 1) (*.f64 (+.f64 alpha (+.f64 beta 2)) (+.f64 alpha (+.f64 beta 2)))))
0.5b
(/.f64 (/.f64 (+.f64 beta 1) (+.f64 alpha (+.f64 beta 2))) (*.f64 (+.f64 (/.f64 beta (+.f64 1 alpha)) (+.f64 (/.f64 alpha (+.f64 1 alpha)) (/.f64 3 (+.f64 1 alpha)))) (+.f64 alpha (+.f64 beta 2))))
Compiler

Compiled 15175 to 11211 computations (26.1% saved)

regimes1.1s (19.9%)

Accuracy

Total 0.1b remaining (80.7%)

Threshold costs 0.1b (80.7%)

Counts
294 → 1
Compiler

Compiled 25187 to 18635 computations (26% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01740
12640
Stop Event
saturated

end279.0ms (5%)

Stop Event
fuel
Compiler

Compiled 270 to 197 computations (27% saved)

Profiling

Loading profile data...