Details

Time bar (total: 9.0s)

sample51.0ms

Algorithm
intervals
Results
24.0ms527×body80valid

simplify32.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.2b

localize11.0ms

Local error

Found 2 expressions with local error:

20.4b
(/ (* x x) (* y y))
21.1b
(/ (* z z) (* t t))

rewrite52.0ms

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:
20.0ms
(/ (* x x) (* y y))
29.0ms
(/ (* z z) (* t t))

series72.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ (* x x) (* y y))
35.0ms
(/ (* z z) (* t t))

simplify593.0ms

Counts
48 → 48

prune417.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.1b

localize15.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ z t) (/ z t))
20.4b
(/ (* x x) (* y y))

rewrite51.0ms

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:
28.0ms
(* (/ z t) (/ z t))
17.0ms
(/ (* x x) (* y y))

series63.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* (/ z t) (/ z t))
31.0ms
(/ (* x x) (* y y))

simplify850.0ms

Counts
94 → 94

prune229.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite57.0ms

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:
41.0ms
(* (/ z t) (/ z t))
12.0ms
(* (fabs (/ x y)) (fabs (/ x y)))

series41.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* (/ z t) (/ z t))
12.0ms
(* (fabs (/ x y)) (fabs (/ x y)))

simplify845.0ms

Counts
98 → 98

prune244.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ z t) (/ z t))
0.5b
(pow (sqrt (fabs (/ x y))) 3)
8.8b
(sqrt (fabs (/ x y)))
8.8b
(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:
24.0ms
(* (/ z t) (/ z t))
9.0ms
(pow (sqrt (fabs (/ x y))) 3)
1.0ms
(sqrt (fabs (/ x y)))
1.0ms
(sqrt (fabs (/ x y)))

series80.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (/ z t) (/ z t))
23.0ms
(pow (sqrt (fabs (/ x y))) 3)
9.0ms
(sqrt (fabs (/ x y)))
10.0ms
(sqrt (fabs (/ x y)))

simplify976.0ms

Counts
137 → 137

prune455.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.0b

regimes712.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.1s

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.1s15396×body80valid