Details

Time bar (total: 9.5s)

sample32.0ms

Algorithm
intervals
Results
17.0ms488×body80valid

simplify17.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01115
12415
24215
35415
done5415

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.5b

localize10.0ms

Local error

Found 2 expressions with local error:

18.7b
(/ (* x x) (* y y))
22.2b
(/ (* z z) (* t t))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log add-cbrt-cube
cbrt-undiv div-exp prod-exp cbrt-unprod
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:
5.0ms
(/ (* x x) (* y y))
5.0ms
(/ (* z z) (* t t))

series51.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ (* x x) (* y y))
26.0ms
(/ (* z z) (* t t))

simplify811.0ms

Counts
48 → 48
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
090538
1267522
21098356
done5000356

prune99.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.2b

localize12.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (fabs (/ z t)) (fabs (/ z t)))
18.7b
(/ (* x x) (* y y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
pow1
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
prod-exp cbrt-unprod
cbrt-undiv div-exp
swap-sqr associate-*r* associate-*l*
add-log-exp
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:
3.0ms
(* (fabs (/ z t)) (fabs (/ z t)))
5.0ms
(/ (* x x) (* y y))

series33.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* (fabs (/ z t)) (fabs (/ z t)))
25.0ms
(/ (* x x) (* y y))

simplify2.8s

Counts
52 → 52
Iterations

Useful iterations: 3 (1.6s)

IterNodesCost
076596
1189494
2716371
34947340
done5000340

prune118.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1
14×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
add-exp-log swap-sqr associate-*r* associate-*l* add-cbrt-cube
pow2 pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod add-log-exp unswap-sqr
Counts
2 → 50
Calls
2 calls:
3.0ms
(* (fabs (/ z t)) (fabs (/ z t)))
3.0ms
(* (fabs (/ x y)) (fabs (/ x y)))

series15.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* (fabs (/ z t)) (fabs (/ z t)))
7.0ms
(* (fabs (/ x y)) (fabs (/ x y)))

simplify1.3s

Counts
56 → 56
Iterations

Useful iterations: 4 (652.0ms)

IterNodesCost
059654
1107466
2339386
31172354
42288342
done5000342

prune137.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (fabs (/ z t)) (fabs (/ z t)))
0.5b
(pow (sqrt (fabs (/ x y))) 3)
11.8b
(sqrt (fabs (/ x y)))
11.8b
(sqrt (fabs (/ x y)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
15×pow1 add-cube-cbrt *-un-lft-identity
12×sqrt-prod
add-exp-log add-cbrt-cube
unpow-prod-down cube-prod
add-log-exp
pow-unpow pow-pow sqrt-pow1 pow1/2 swap-sqr associate-*r* associate-*l*
rem-sqrt-square
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:
3.0ms
(* (fabs (/ z t)) (fabs (/ z t)))
2.0ms
(pow (sqrt (fabs (/ x y))) 3)
1.0ms
(sqrt (fabs (/ x y)))
1.0ms
(sqrt (fabs (/ x y)))

series46.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* (fabs (/ z t)) (fabs (/ z t)))
19.0ms
(pow (sqrt (fabs (/ x y))) 3)
7.0ms
(sqrt (fabs (/ x y)))
8.0ms
(sqrt (fabs (/ x y)))

simplify2.1s

Counts
95 → 95
Iterations

Useful iterations: 3 (600.0ms)

IterNodesCost
081950
1168714
2500652
32944636
done5000636

prune223.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes495.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01422
11622
done1622

end0.0ms

sample1.1s

Algorithm
intervals
Results
731.0ms15398×body80valid