Details

Time bar (total: 16.7s)

sample80.0ms

Algorithm
intervals
Results
40.0ms503×body80valid

simplify48.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
12415
24215
35415
done5415

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
21.4b
(/ (* x x) (* y y))
24.6b
(/ (* z z) (* t t))

rewrite103.0ms

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:
49.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
23.0ms
(/ (* x x) (* y y))
28.0ms
(/ (* z z) (* t t))

series219.0ms

Counts
3 → 9
Calls
3 calls:
140.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
30.0ms
(/ (* x x) (* y y))
48.0ms
(/ (* z z) (* t t))

simplify2.8s

Counts
64 → 64
Iterations

Useful iterations: 2 (663.0ms)

IterNodesCost
0113909
1430884
24331666
done5000666

prune196.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.5b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (* (fabs (/ z t)) (fabs (/ z t))))
0.3b
(* (fabs (/ z t)) (fabs (/ z t)))
21.4b
(/ (* x x) (* y y))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-cbrt-cube
10×pow1
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
5×prod-exp cbrt-unprod add-log-exp
4×cbrt-undiv div-exp
3×swap-sqr associate-*r* associate-*l*
1×+-commutative pow2 frac-2neg flip3-+ times-frac pow-plus pow-prod-down clear-num associate-/r* sum-log pow-sqr *-commutative pow-prod-up flip-+ div-inv associate-/l* unswap-sqr
Counts
3 → 57
Calls
3 calls:
44.0ms
(+ (/ (* x x) (* y y)) (* (fabs (/ z t)) (fabs (/ z t))))
15.0ms
(* (fabs (/ z t)) (fabs (/ z t)))
30.0ms
(/ (* x x) (* y y))

series91.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(+ (/ (* x x) (* y y)) (* (fabs (/ z t)) (fabs (/ z t))))
14.0ms
(* (fabs (/ z t)) (fabs (/ z t)))
40.0ms
(/ (* x x) (* y y))

simplify2.5s

Counts
66 → 66
Iterations

Useful iterations: done (2.4s)

IterNodesCost
096963
1333802
23268619
done5001613

prune237.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ x y) (/ x y)) (* (fabs (/ z t)) (fabs (/ z t))))
0.3b
(* (fabs (/ z t)) (fabs (/ z t)))
0.4b
(* (/ x y) (/ x y))

rewrite115.0ms

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:
40.0ms
(+ (* (/ x y) (/ x y)) (* (fabs (/ z t)) (fabs (/ z t))))
15.0ms
(* (fabs (/ z t)) (fabs (/ z t)))
50.0ms
(* (/ x y) (/ x y))

series110.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(+ (* (/ x y) (/ x y)) (* (fabs (/ z t)) (fabs (/ z t))))
16.0ms
(* (fabs (/ z t)) (fabs (/ z t)))
53.0ms
(* (/ x y) (/ x y))

simplify2.9s

Counts
112 → 112
Iterations

Useful iterations: done (2.9s)

IterNodesCost
01561544
15461295
239701087
done50011058

prune466.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (/ x y) (/ x y))
0.5b
(pow (sqrt (fabs (/ z t))) 3)
10.8b
(sqrt (fabs (/ z t)))
10.8b
(sqrt (fabs (/ z t)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
40×times-frac
39×add-cube-cbrt *-un-lft-identity
17×add-exp-log add-cbrt-cube
15×pow1
13×swap-sqr associate-*r* associate-*l*
12×sqrt-prod
6×unpow-prod-down cube-prod
4×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
3×pow-unpow pow-pow sqrt-pow1 pow1/2
2×rem-sqrt-square
1×pow2 cube-mult frac-times pow-to-exp pow-plus unpow3 associate-*r/ pow-prod-down associate-*l/ pow-exp pow-sqr *-commutative pow-prod-up sqrt-pow2 rem-cube-cbrt sqr-pow
Counts
4 → 125
Calls
4 calls:
36.0ms
(* (/ x y) (/ x y))
4.0ms
(pow (sqrt (fabs (/ z t))) 3)
1.0ms
(sqrt (fabs (/ z t)))
1.0ms
(sqrt (fabs (/ z t)))

series79.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (/ x y) (/ x y))
31.0ms
(pow (sqrt (fabs (/ z t))) 3)
9.0ms
(sqrt (fabs (/ z t)))
10.0ms
(sqrt (fabs (/ z t)))

simplify2.7s

Counts
137 → 137
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01581473
15441270
236681155
done50011134

prune488.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 0.0b

regimes987.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01224
11524
done1524

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.5s15731×body80valid