Details

Time bar (total: 16.4s)

sample61.0ms

Algorithm
intervals
Results
29.0ms439×body80valid

simplify37.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
12415
24215
35415
done5415

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.8b

localize18.0ms

Local error

Found 2 expressions with local error:

18.6b
(/ (* z z) (* t t))
23.5b
(/ (* x x) (* y y))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log add-cbrt-cube
8×cbrt-undiv div-exp prod-exp cbrt-unprod
2×pow1 add-sqr-sqrt add-cube-cbrt frac-2neg *-un-lft-identity times-frac clear-num associate-/r* div-inv associate-/l* add-log-exp
Counts
2 → 42
Calls
2 calls:
17.0ms
(/ (* z z) (* t t))
21.0ms
(/ (* x x) (* y y))

series84.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ (* z z) (* t t))
47.0ms
(/ (* x x) (* y y))

simplify2.8s

Counts
48 → 48
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
090538
1239522
2910356
33578326
done5000326

prune111.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 5.8b

localize16.0ms

Local error

Found 2 expressions with local error:

0.4b
(* (fabs (/ x y)) (fabs (/ x y)))
18.6b
(/ (* z z) (* t t))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
9×pow1
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
5×prod-exp cbrt-unprod
4×cbrt-undiv div-exp
3×swap-sqr associate-*r* associate-*l*
2×add-log-exp
1×pow2 frac-2neg times-frac pow-plus pow-prod-down clear-num associate-/r* pow-sqr *-commutative pow-prod-up div-inv associate-/l* unswap-sqr
Counts
2 → 46
Calls
2 calls:
11.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
22.0ms
(/ (* z z) (* t t))

series56.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
47.0ms
(/ (* z z) (* t t))

simplify5.7s

Counts
52 → 52
Iterations

Useful iterations: done (5.7s)

IterNodesCost
076596
1176494
2592371
32120340
done5000324

prune152.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
40×times-frac
34×add-cube-cbrt *-un-lft-identity
16×pow1 add-exp-log swap-sqr associate-*r* associate-*l* add-cbrt-cube
5×prod-exp cbrt-unprod unswap-sqr
4×cbrt-undiv div-exp div-inv
2×pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up add-log-exp
1×frac-times associate-*r/ associate-*l/
Counts
2 → 92
Calls
2 calls:
39.0ms
(* (/ z t) (/ z t))
10.0ms
(* (fabs (/ x y)) (fabs (/ x y)))

series44.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* (/ z t) (/ z t))
12.0ms
(* (fabs (/ x y)) (fabs (/ x y)))

simplify2.1s

Counts
98 → 98
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01361177
1365995
21236835
done5000766

prune304.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ z t) (/ z t))
0.6b
(pow (sqrt (fabs (/ x y))) 3)
8.2b
(sqrt (fabs (/ x y)))
8.2b
(sqrt (fabs (/ x y)))

rewrite41.0ms

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:
30.0ms
(* (/ z t) (/ z t))
4.0ms
(pow (sqrt (fabs (/ x y))) 3)
1.0ms
(sqrt (fabs (/ x y)))
1.0ms
(sqrt (fabs (/ x y)))

series94.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* (/ z t) (/ z t))
30.0ms
(pow (sqrt (fabs (/ x y))) 3)
12.0ms
(sqrt (fabs (/ x y)))
11.0ms
(sqrt (fabs (/ x y)))

simplify1.4s

Counts
137 → 137
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01581473
14261243
214241101
done50011060

prune417.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.0b

regimes904.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01320
11520
done1520

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.2s15360×body80valid