Details

Time bar (total: 16.9s)

sample79.0ms

Algorithm
intervals
Results
48.0ms508×body80valid

simplify24.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
12415
24215
35415
done5415

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.1b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
21.9b
(/ (* x x) (* y y))
23.6b
(/ (* z z) (* t t))

rewrite75.0ms

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:
33.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
27.0ms
(/ (* x x) (* y y))
14.0ms
(/ (* z z) (* t t))

series200.0ms

Counts
3 → 9
Calls
3 calls:
139.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
31.0ms
(/ (* x x) (* y y))
29.0ms
(/ (* z z) (* t t))

simplify1.9s

Counts
64 → 64
Iterations

Useful iterations: done (1.9s)

IterNodesCost
0113909
1326856
21280664
done5000628

prune253.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.5b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (* (fabs (/ z t)) (fabs (/ z t))))
0.4b
(* (fabs (/ z t)) (fabs (/ z t)))
21.9b
(/ (* x x) (* y y))

rewrite58.0ms

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:
26.0ms
(+ (/ (* x x) (* y y)) (* (fabs (/ z t)) (fabs (/ z t))))
7.0ms
(* (fabs (/ z t)) (fabs (/ z t)))
23.0ms
(/ (* x x) (* y y))

series91.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(+ (/ (* x x) (* y y)) (* (fabs (/ z t)) (fabs (/ z t))))
11.0ms
(* (fabs (/ z t)) (fabs (/ z t)))
40.0ms
(/ (* x x) (* y y))

simplify4.0s

Counts
66 → 66
Iterations

Useful iterations: done (4.0s)

IterNodesCost
096963
1239761
2858619
33518576
done5000568

prune225.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1
15×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
7×add-exp-log add-cbrt-cube
6×swap-sqr associate-*r* associate-*l*
5×add-log-exp
2×pow2 pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod unswap-sqr
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 61
Calls
3 calls:
9.0ms
(+ (* (fabs (/ x y)) (fabs (/ x y))) (* (fabs (/ z t)) (fabs (/ z t))))
11.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
13.0ms
(* (fabs (/ z t)) (fabs (/ z t)))

series72.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(+ (* (fabs (/ x y)) (fabs (/ x y))) (* (fabs (/ z t)) (fabs (/ z t))))
11.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
15.0ms
(* (fabs (/ z t)) (fabs (/ z t)))

simplify1.8s

Counts
70 → 70
Iterations

Useful iterations: done (1.8s)

IterNodesCost
0781054
1175702
2530611
31795587
done5001575

prune253.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (fabs (/ z t)) (fabs (/ z t)))
0.5b
(pow (sqrt (fabs (/ x y))) 3)
9.4b
(sqrt (fabs (/ x y)))
9.4b
(sqrt (fabs (/ x y)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
15×pow1 add-cube-cbrt *-un-lft-identity
12×sqrt-prod
7×add-exp-log add-cbrt-cube
6×unpow-prod-down cube-prod
4×add-log-exp
3×pow-unpow pow-pow sqrt-pow1 pow1/2 swap-sqr associate-*r* associate-*l*
2×rem-sqrt-square
1×pow2 cube-mult pow-to-exp pow-plus unpow3 pow-prod-down pow-exp prod-exp pow-sqr *-commutative pow-prod-up sqrt-pow2 cbrt-unprod rem-cube-cbrt unswap-sqr sqr-pow
Counts
4 → 83
Calls
4 calls:
7.0ms
(* (fabs (/ z t)) (fabs (/ z t)))
4.0ms
(pow (sqrt (fabs (/ x y))) 3)
1.0ms
(sqrt (fabs (/ x y)))
2.0ms
(sqrt (fabs (/ x y)))

series68.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (fabs (/ z t)) (fabs (/ z t)))
40.0ms
(pow (sqrt (fabs (/ x y))) 3)
9.0ms
(sqrt (fabs (/ x y)))
10.0ms
(sqrt (fabs (/ x y)))

simplify3.7s

Counts
95 → 95
Iterations

Useful iterations: done (3.7s)

IterNodesCost
081950
1171714
2475652
32948628
done5000620

prune270.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

regimes933.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01422
11622
done1622

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.8s15718×body80valid