Details

Time bar (total: 14.1s)

sample43.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
9.0ms256×pre80true

simplify937.0ms

Counts
1 → 1
Iterations
IterNodes
done2012
62012
5753
4228
385
243
118
08

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.2b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1 (* (/ b a) (/ b a)))
0.4b
(* (/ b a) (/ b a))
9.2b
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
40×times-frac
33×*-un-lft-identity
32×add-cube-cbrt
15×add-cbrt-cube add-exp-log
13×swap-sqr associate-*r* associate-*l*
11×pow1
5×add-log-exp
4×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
3×sqrt-prod insert-posit16
2×difference-of-squares
1×pow2 frac-times rem-sqrt-square sub-neg sqrt-pow1 pow-plus flip3-- pow1/2 diff-log pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up flip--
Counts
3 → 97
Calls
3 calls:
12.0ms
(- 1 (* (/ b a) (/ b a)))
19.0ms
(* (/ b a) (/ b a))
2.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

series108.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(- 1 (* (/ b a) (/ b a)))
33.0ms
(* (/ b a) (/ b a))
21.0ms
(sqrt (fabs (- 1 (* (/ b a) (/ b a)))))

simplify1.2s

Counts
106 → 106
Iterations
IterNodes
done2000
32000
21395
1473
0154

prune1.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 9.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1 (/ (* b (/ b a)) a))
0.2b
(* b (/ b a))
6.4b
(/ (* b (/ b a)) a)
9.2b
(sqrt (fabs (- 1 (/ (* b (/ b a)) a))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
18×*-un-lft-identity add-cbrt-cube add-exp-log
15×add-cube-cbrt
13×times-frac associate-*r*
7×pow1
6×add-log-exp
5×cbrt-undiv div-exp
4×prod-exp cbrt-unprod insert-posit16
3×associate-/r* associate-*l* sqrt-prod
2×associate-*r/ div-inv difference-of-squares unswap-sqr
1×rem-sqrt-square clear-num sub-neg frac-2neg sqrt-pow1 flip3-- pow1/2 diff-log pow-prod-down *-commutative flip-- associate-/l* distribute-lft-out-- associate-/l/
Counts
4 → 88
Calls
4 calls:
7.0ms
(- 1 (/ (* b (/ b a)) a))
10.0ms
(* b (/ b a))
12.0ms
(/ (* b (/ b a)) a)
1.0ms
(sqrt (fabs (- 1 (/ (* b (/ b a)) a))))

series101.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(- 1 (/ (* b (/ b a)) a))
23.0ms
(* b (/ b a))
27.0ms
(/ (* b (/ b a)) a)
13.0ms
(sqrt (fabs (- 1 (/ (* b (/ b a)) a))))

simplify1.1s

Counts
100 → 100
Iterations
IterNodes
done2013
32013
21189
1353
0141

prune1.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 9.1b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (/ b a))
0.3b
(* (* (/ b a) (sqrt (/ b a))) (sqrt (/ b a)))
0.3b
(* (/ b a) (sqrt (/ b a)))
9.2b
(sqrt (fabs (- 1 (* (* (/ b a) (sqrt (/ b a))) (sqrt (/ b a))))))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
59×add-sqr-sqrt
46×sqrt-prod
42×times-frac
35×*-un-lft-identity add-cube-cbrt
32×associate-*r*
25×pow1
18×add-cbrt-cube add-exp-log
14×associate-*l*
11×sqrt-div pow-prod-up
7×sqrt-pow1 pow1/2 prod-exp cbrt-unprod
6×frac-times associate-*l/ unswap-sqr
4×pow-prod-down associate-*r/ insert-posit16 div-inv add-log-exp
3×rem-sqrt-square pow3
2×cbrt-undiv div-exp *-commutative
1×pow-plus
Counts
4 → 142
Calls
4 calls:
4.0ms
(sqrt (/ b a))
63.0ms
(* (* (/ b a) (sqrt (/ b a))) (sqrt (/ b a)))
15.0ms
(* (/ b a) (sqrt (/ b a)))
1.0ms
(sqrt (fabs (- 1 (* (* (/ b a) (sqrt (/ b a))) (sqrt (/ b a))))))

series335.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(sqrt (/ b a))
49.0ms
(* (* (/ b a) (sqrt (/ b a))) (sqrt (/ b a)))
174.0ms
(* (/ b a) (sqrt (/ b a)))
27.0ms
(sqrt (fabs (- 1 (* (* (/ b a) (sqrt (/ b a))) (sqrt (/ b a))))))

simplify1.3s

Counts
154 → 154
Iterations
IterNodes
done2006
32006
21828
1512
0202

prune1.8s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 9.1b

localize57.0ms

Local error

Found 4 expressions with local error:

6.4b
(/ (* b (/ b a)) a)
6.4b
(/ (* b (/ b a)) a)
9.2b
(sqrt (fabs (/ (- (* 1 1) (* (/ (* b (/ b a)) a) (/ (* b (/ b a)) a))) (+ 1 (/ (* b (/ b a)) a)))))
18.9b
(/ (- (* 1 1) (* (/ (* b (/ b a)) a) (/ (* b (/ b a)) a))) (+ 1 (/ (* b (/ b a)) a)))

rewrite184.0ms

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity
24×add-cbrt-cube add-exp-log
22×times-frac
20×add-sqr-sqrt
19×add-cube-cbrt
10×associate-/r*
9×cbrt-undiv div-exp
6×associate-/l*
5×pow1 distribute-lft-out difference-of-squares
4×prod-exp cbrt-unprod insert-posit16 add-log-exp associate-/l/
3×clear-num frac-2neg sqrt-prod div-inv
2×associate-*r/ associate-/r/
1×rem-sqrt-square sqrt-pow1 flip3-+ flip3-- pow1/2 div-sub flip-+ flip--
Counts
4 → 106
Calls
4 calls:
20.0ms
(/ (* b (/ b a)) a)
20.0ms
(/ (* b (/ b a)) a)
2.0ms
(sqrt (fabs (/ (- (* 1 1) (* (/ (* b (/ b a)) a) (/ (* b (/ b a)) a))) (+ 1 (/ (* b (/ b a)) a)))))
139.0ms
(/ (- (* 1 1) (* (/ (* b (/ b a)) a) (/ (* b (/ b a)) a))) (+ 1 (/ (* b (/ b a)) a)))

series224.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ (* b (/ b a)) a)
45.0ms
(/ (* b (/ b a)) a)
35.0ms
(sqrt (fabs (/ (- (* 1 1) (* (/ (* b (/ b a)) a) (/ (* b (/ b a)) a))) (+ 1 (/ (* b (/ b a)) a)))))
112.0ms
(/ (- (* 1 1) (* (/ (* b (/ b a)) a) (/ (* b (/ b a)) a))) (+ 1 (/ (* b (/ b a)) a)))

simplify1.5s

Counts
118 → 118
Iterations
IterNodes
done2320
32320
21393
1418
0159

prune1.4s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 9.1b

regimes159.0ms

Accuracy

0% (0.1b remaining)

Error of 7.5b against oracle of 7.3b and baseline of 7.5b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done12
112
09

end0.0ms

sample1.4s

Algorithm
intervals
Results
842.0ms8000×body80valid
327.0ms8000×pre80true