Details

Time bar (total: 16.1s)

sample69.0ms

Algorithm
intervals
Results
32.0ms467×body80valid

simplify32.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
12415
24215
35415
done5415

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.7b

localize47.0ms

Local error

Found 2 expressions with local error:

17.8b
(/ (* z z) (* t t))
21.8b
(/ (* x x) (* y y))

rewrite47.0ms

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:
23.0ms
(/ (* z z) (* t t))
22.0ms
(/ (* x x) (* y y))

series92.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ (* z z) (* t t))
50.0ms
(/ (* x x) (* y y))

simplify2.2s

Counts
48 → 48
Iterations

Useful iterations: 2 (574.0ms)

IterNodesCost
090538
1319522
23459356
done5002356

prune230.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.6b

localize24.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (fabs (/ x y)) (fabs (/ x y)))
17.8b
(/ (* z z) (* t t))

rewrite33.0ms

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:
11.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
21.0ms
(/ (* z z) (* t t))

series61.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
40.0ms
(/ (* z z) (* t t))

simplify2.2s

Counts
52 → 52
Iterations

Useful iterations: done (2.2s)

IterNodesCost
076596
1249497
22475376
done5002365

prune332.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

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:
12.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
12.0ms
(* (fabs (/ z t)) (fabs (/ z t)))

series29.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
15.0ms
(* (fabs (/ z t)) (fabs (/ z t)))

simplify2.5s

Counts
56 → 56
Iterations

Useful iterations: done (2.5s)

IterNodesCost
059654
1162472
21648386
done5002374

prune385.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (fabs (/ x y)) (fabs (/ x y)))
0.4b
(pow (sqrt (fabs (/ z t))) 3)
10.4b
(sqrt (fabs (/ z t)))
10.4b
(sqrt (fabs (/ z t)))

rewrite35.0ms

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:
13.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
7.0ms
(pow (sqrt (fabs (/ z t))) 3)
9.0ms
(sqrt (fabs (/ z t)))
2.0ms
(sqrt (fabs (/ z t)))

series86.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
40.0ms
(pow (sqrt (fabs (/ z t))) 3)
15.0ms
(sqrt (fabs (/ z t)))
16.0ms
(sqrt (fabs (/ z t)))

simplify2.1s

Counts
95 → 95
Iterations

Useful iterations: done (2.1s)

IterNodesCost
081950
1243738
21563673
done5001646

prune545.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

regimes2.1s

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

sample2.9s

Algorithm
intervals
Results
1.8s15459×body80valid