Details

Time bar (total: 34.3s)

sample55.0ms

Algorithm
intervals
Results
32.0ms256×body80valid
9.0ms256×pre80true

simplify3.0s

Counts
1 → 1
Iterations
IterNodes
done5193
44059
3641
2119
136
015

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))
0.1b
(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
3.4b
(/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
804×times-frac
583×*-un-lft-identity
339×add-sqr-sqrt add-cube-cbrt
122×distribute-lft-out
82×associate-/l*
54×associate-/r/
28×flip3-+ flip-+
27×div-inv
19×add-cbrt-cube add-exp-log
10×cbrt-undiv associate-/r* div-exp
4×associate-/l/
3×pow1 clear-num frac-2neg insert-posit16 add-log-exp
Counts
3 → 453
Calls
3 calls:
326.0ms
(/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))
474.0ms
(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
249.0ms
(/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))

series486.0ms

Counts
3 → 9
Calls
3 calls:
172.0ms
(/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))
204.0ms
(/ (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
110.0ms
(/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))

simplify3.1s

Counts
462 → 462
Iterations
IterNodes
done5000
24299
11387
0582

prune2.3s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.7b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))
0.1b
(/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
3.4b
(/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))
3.4b
(/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))

rewrite982.0ms

Algorithm
rewrite-expression-head
Rules
819×times-frac
601×*-un-lft-identity
360×sqrt-prod
355×add-sqr-sqrt
349×add-cube-cbrt
126×distribute-lft-out
71×associate-/l*
54×associate-/r/
29×flip3-+ flip-+
27×div-inv
10×associate-/r* add-cbrt-cube add-exp-log
5×pow1 associate-/l/
4×insert-posit16 add-log-exp
3×cbrt-undiv rem-sqrt-square clear-num frac-2neg div-exp
2×sqrt-div
1×sqrt-pow1 pow1/2
Counts
4 → 481
Calls
4 calls:
174.0ms
(sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))
336.0ms
(/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
256.0ms
(/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))
190.0ms
(/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))

series624.0ms

Counts
4 → 12
Calls
4 calls:
243.0ms
(sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1))))
152.0ms
(/ (sqrt (/ (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1))) (+ (+ alpha beta) (* 2 1)))) (+ (+ (+ alpha beta) (* 2 1)) 1.0))
96.0ms
(/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))
133.0ms
(/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))

simplify2.3s

Counts
493 → 493
Iterations
IterNodes
done5004
23005
11215
0691

prune2.7s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.7b

localize69.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))
0.3b
(* (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))
3.4b
(/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))
3.4b
(/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))

rewrite1.6s

Algorithm
rewrite-expression-head
Rules
1494×times-frac
1264×sqrt-prod
987×*-un-lft-identity
975×add-sqr-sqrt
617×add-cube-cbrt
238×swap-sqr
161×distribute-lft-out
132×associate-*r* associate-*l*
84×associate-/r/
49×unswap-sqr
44×flip3-+ flip-+
42×div-inv
29×associate-/l*
22×add-cbrt-cube add-exp-log
12×associate-/r*
11×pow1 sqrt-div
7×cbrt-undiv div-exp
5×sqrt-undiv associate-/l/
4×prod-exp cbrt-unprod insert-posit16 add-log-exp
3×clear-num frac-2neg
1×pow2 frac-times rem-square-sqrt pow-plus sqrt-unprod pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
Counts
4 → 820
Calls
4 calls:
261.0ms
(/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))
695.0ms
(* (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))
265.0ms
(/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))
286.0ms
(/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))

series721.0ms

Counts
4 → 12
Calls
4 calls:
285.0ms
(/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))
179.0ms
(* (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))) (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1)))))
138.0ms
(/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))
118.0ms
(/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))

simplify3.3s

Counts
832 → 832
Iterations
IterNodes
done5001
12372
0670

prune4.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.7b

localize56.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))
0.2b
(/ (* (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))
3.4b
(/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))
3.4b
(/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
240×times-frac
198×sqrt-prod
191×*-un-lft-identity
133×add-sqr-sqrt add-cube-cbrt
30×associate-/l*
29×distribute-lft-out
22×associate-/r/
19×add-cbrt-cube add-exp-log
18×associate-/r*
13×flip3-+ flip-+
11×div-inv
8×associate-/l/
7×cbrt-undiv sqrt-div div-exp
4×pow1 clear-num frac-2neg insert-posit16 add-log-exp
3×sqrt-undiv
2×prod-exp cbrt-unprod
1×frac-times sqrt-unprod associate-*l/ associate-*r/
Counts
4 → 278
Calls
4 calls:
228.0ms
(/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))
202.0ms
(/ (* (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))
290.0ms
(/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))
297.0ms
(/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))

series705.0ms

Counts
4 → 12
Calls
4 calls:
255.0ms
(/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))
211.0ms
(/ (* (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (/ (sqrt (/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))) (sqrt (+ (+ alpha beta) (* 2 1))))) (sqrt (+ (+ alpha beta) (* 2 1))))
129.0ms
(/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))
109.0ms
(/ (+ (+ (+ alpha beta) (* beta alpha)) 1.0) (+ (+ alpha beta) (* 2 1)))

simplify2.2s

Counts
290 → 290
Iterations
IterNodes
done5001
22141
1782
0380

prune1.6s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.7b

regimes134.0ms

Accuracy

0% (2.5b remaining)

Error of 3.5b against oracle of 1.0b and baseline of 3.5b

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done28
128
018

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.4s8000×body80valid
388.0ms8000×pre80true