Details

Time bar (total: 3.7s)

sample37.0ms

Algorithm
intervals
Results
17.0ms520×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0247
1427
2547
3547
done547

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.7b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
21.5b
(/ (* x x) (* y y))
22.8b
(/ (* z z) (* t t))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log add-cbrt-cube
8×cbrt-undiv div-exp prod-exp cbrt-unprod
5×*-un-lft-identity add-log-exp
3×pow1 add-sqr-sqrt add-cube-cbrt
2×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
1×+-commutative flip3-+ frac-add sum-log flip-+ distribute-lft-out
Counts
3 → 55
Calls
3 calls:
27.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
12.0ms
(/ (* x x) (* y y))
13.0ms
(/ (* z z) (* t t))

series144.0ms

Counts
3 → 9
Calls
3 calls:
93.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
25.0ms
(/ (* x x) (* y y))
26.0ms
(/ (* z z) (* t t))

simplify40.0ms

Counts
64 → 64
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0375410
11850329
25002297
done5002297

prune134.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.8b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
0.3b
(* (/ z t) (/ z t))
21.5b
(/ (* x x) (* y y))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
41×times-frac
31×add-cube-cbrt *-un-lft-identity
27×add-exp-log add-cbrt-cube
13×swap-sqr associate-*r* associate-*l*
10×pow1
8×cbrt-undiv div-exp prod-exp cbrt-unprod
5×div-inv add-log-exp
4×unswap-sqr
3×frac-add
2×frac-times associate-*r/ associate-*l/
1×+-commutative pow2 frac-2neg flip3-+ pow-plus pow-prod-down clear-num associate-/r* sum-log pow-sqr *-commutative pow-prod-up flip-+ associate-/l*
Counts
3 → 102
Calls
3 calls:
22.0ms
(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
20.0ms
(* (/ z t) (/ z t))
13.0ms
(/ (* x x) (* y y))

series141.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
26.0ms
(* (/ z t) (/ z t))
25.0ms
(/ (* x x) (* y y))

simplify67.0ms

Counts
111 → 111
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0590695
12934591
25002561
done5002561

prune225.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))
0.3b
(* (fabs (/ x y)) (fabs (/ x y)))
0.3b
(* (/ z t) (/ z t))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
40×times-frac
35×add-cube-cbrt *-un-lft-identity
17×pow1 add-exp-log add-cbrt-cube
16×swap-sqr associate-*r* associate-*l*
5×prod-exp cbrt-unprod add-log-exp unswap-sqr
4×cbrt-undiv div-exp div-inv
2×pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up
1×+-commutative frac-times flip3-+ associate-*r/ associate-*l/ sum-log flip-+
Counts
3 → 103
Calls
3 calls:
8.0ms
(+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))
7.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
20.0ms
(* (/ z t) (/ z t))

series105.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))
8.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
29.0ms
(* (/ z t) (/ z t))

simplify61.0ms

Counts
112 → 112
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0463705
12298601
25001555
done5001555

prune304.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ z t) (/ z t))
0.4b
(* (sqrt (+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))) (sqrt (+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))))
7.9b
(sqrt (+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t))))
7.9b
(sqrt (+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t))))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
68×add-sqr-sqrt
42×add-cube-cbrt *-un-lft-identity
40×times-frac
28×pow1
24×sqrt-prod
21×swap-sqr
19×associate-*r* associate-*l*
18×add-exp-log add-cbrt-cube
16×sqrt-div
10×sqrt-pow1 pow1/2
8×flip3-+ flip-+ unswap-sqr
6×pow-prod-up
5×frac-times prod-exp cbrt-unprod
4×cbrt-undiv div-exp pow-prod-down pow-sqr div-inv add-log-exp
3×associate-*r/ associate-*l/
2×pow2 rem-sqrt-square pow-plus *-commutative
1×sqrt-unprod rem-square-sqrt
Counts
4 → 154
Calls
4 calls:
20.0ms
(* (/ z t) (/ z t))
43.0ms
(* (sqrt (+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))) (sqrt (+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))))
7.0ms
(sqrt (+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t))))
7.0ms
(sqrt (+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t))))

series274.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (/ z t) (/ z t))
70.0ms
(* (sqrt (+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))) (sqrt (+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))))
87.0ms
(sqrt (+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t))))
89.0ms
(sqrt (+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t))))

simplify87.0ms

Counts
166 → 166
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
04991922
126331686
250011623
done50011623

prune370.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

regimes430.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02132
12132
done2132

end0.0ms

sample1.0s

Algorithm
intervals
Results
519.0ms15688×body80valid