Details

Time bar (total: 9.1s)

sample36.0ms

Algorithm
intervals
Results
16.0ms519×body80valid

simplify22.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
12415
24215
35415
done5415

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.5b

localize13.0ms

Local error

Found 2 expressions with local error:

21.5b
(/ (* z z) (* t t))
21.8b
(/ (* x x) (* y y))

rewrite27.0ms

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:
13.0ms
(/ (* z z) (* t t))
13.0ms
(/ (* x x) (* y y))

series56.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ (* z z) (* t t))
27.0ms
(/ (* x x) (* y y))

simplify2.6s

Counts
48 → 48
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
090538
1239522
2910356
33578326
done5000326

prune93.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ z t) (/ z t))
21.8b
(/ (* x x) (* y y))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
41×times-frac
30×add-cube-cbrt *-un-lft-identity
26×add-exp-log add-cbrt-cube
13×swap-sqr associate-*r* associate-*l*
9×pow1
8×cbrt-undiv div-exp prod-exp cbrt-unprod
5×div-inv
4×unswap-sqr
2×add-log-exp
1×pow2 frac-times frac-2neg pow-plus associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r* pow-sqr *-commutative pow-prod-up associate-/l*
Counts
2 → 88
Calls
2 calls:
22.0ms
(* (/ z t) (/ z t))
15.0ms
(/ (* x x) (* y y))

series58.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(* (/ z t) (/ z t))
28.0ms
(/ (* x x) (* y y))

simplify1.3s

Counts
94 → 94
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01531119
14321023
21549820
done5001784

prune198.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

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:
22.0ms
(* (/ z t) (/ z t))
7.0ms
(* (fabs (/ x y)) (fabs (/ x y)))

series40.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* (/ z t) (/ z t))
9.0ms
(* (fabs (/ x y)) (fabs (/ x y)))

simplify1.3s

Counts
98 → 98
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01361177
1365995
21236835
done5000766

prune226.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ z t) (/ z t))
0.5b
(pow (sqrt (fabs (/ x y))) 3)
10.3b
(sqrt (fabs (/ x y)))
10.3b
(sqrt (fabs (/ x y)))

rewrite33.0ms

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:
22.0ms
(* (/ z t) (/ z t))
4.0ms
(pow (sqrt (fabs (/ x y))) 3)
1.0ms
(sqrt (fabs (/ x y)))
1.0ms
(sqrt (fabs (/ x y)))

series71.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (/ z t) (/ z t))
26.0ms
(pow (sqrt (fabs (/ x y))) 3)
9.0ms
(sqrt (fabs (/ x y)))
9.0ms
(sqrt (fabs (/ x y)))

simplify1.1s

Counts
137 → 137
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01581473
14261243
214241101
done50011060

prune318.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

regimes454.0ms

Accuracy

0% (0.5b 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
01224
11524
done1524

end0.0ms

sample1.0s

Algorithm
intervals
Results
516.0ms15467×body80valid