Details

Time bar (total: 13.2s)

sample63.0ms

Algorithm
intervals
Results
31.0ms474×body80valid

simplify31.0ms

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: 33.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
20.6b
(/ (* z z) (* t t))
20.8b
(/ (* x x) (* y y))

rewrite54.0ms

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:
25.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
13.0ms
(/ (* z z) (* t t))
14.0ms
(/ (* x x) (* y y))

series160.0ms

Counts
3 → 9
Calls
3 calls:
99.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
28.0ms
(/ (* z z) (* t t))
32.0ms
(/ (* x x) (* y y))

simplify1.4s

Counts
64 → 64
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0113909
1326856
21280664
done5000628

prune214.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.6b

localize15.0ms

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)))
20.8b
(/ (* x x) (* y y))

rewrite49.0ms

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:
28.0ms
(+ (/ (* x x) (* y y)) (* (fabs (/ z t)) (fabs (/ z t))))
7.0ms
(* (fabs (/ z t)) (fabs (/ z t)))
13.0ms
(/ (* x x) (* y y))

series87.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(+ (/ (* x x) (* y y)) (* (fabs (/ z t)) (fabs (/ z t))))
9.0ms
(* (fabs (/ z t)) (fabs (/ z t)))
28.0ms
(/ (* x x) (* y y))

simplify3.4s

Counts
66 → 66
Iterations

Useful iterations: done (3.4s)

IterNodesCost
096963
1239761
2858619
33518576
done5000568

prune192.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite65.0ms

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:
15.0ms
(+ (* (/ x y) (/ x y)) (* (fabs (/ z t)) (fabs (/ z t))))
29.0ms
(* (/ x y) (/ x y))
14.0ms
(* (fabs (/ z t)) (fabs (/ z t)))

series90.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(+ (* (/ x y) (/ x y)) (* (fabs (/ z t)) (fabs (/ z t))))
37.0ms
(* (/ x y) (/ x y))
16.0ms
(* (fabs (/ z t)) (fabs (/ z t)))

simplify1.7s

Counts
112 → 112
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01561544
14341248
215201063
done50001030

prune367.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ x y) (/ x y))
0.5b
(pow (sqrt (fabs (/ z t))) 3)
8.4b
(sqrt (fabs (/ z t)))
8.4b
(sqrt (fabs (/ z t)))

rewrite52.0ms

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:
37.0ms
(* (/ x y) (/ x y))
5.0ms
(pow (sqrt (fabs (/ z t))) 3)
1.0ms
(sqrt (fabs (/ z t)))
1.0ms
(sqrt (fabs (/ z t)))

series100.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* (/ x y) (/ x y))
29.0ms
(pow (sqrt (fabs (/ z t))) 3)
10.0ms
(sqrt (fabs (/ z t)))
16.0ms
(sqrt (fabs (/ z t)))

simplify1.5s

Counts
137 → 137
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01581473
14261243
214241101
done50011060

prune474.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.0b

regimes804.0ms

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
01320
11520
done1520

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.5s15369×body80valid