Details

Time bar (total: 8.6s)

sample58.0ms

Algorithm
intervals
Results
28.0ms493×body80valid

simplify41.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.2b

localize13.0ms

Local error

Found 2 expressions with local error:

22.2b
(/ (* x x) (* y y))
23.5b
(/ (* z z) (* t t))

rewrite44.0ms

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:
15.0ms
(/ (* x x) (* y y))
27.0ms
(/ (* z z) (* t t))

series58.0ms

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

simplify510.0ms

Counts
48 → 48

prune128.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.7b

localize14.0ms

Local error

Found 2 expressions with local error:

0.3b
(* (/ z t) (/ z t))
22.2b
(/ (* x x) (* y y))

rewrite67.0ms

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:
40.0ms
(* (/ z t) (/ z t))
21.0ms
(/ (* x x) (* y y))

series81.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(* (/ z t) (/ z t))
35.0ms
(/ (* x x) (* y y))

simplify882.0ms

Counts
94 → 94

prune280.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

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

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:
10.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
41.0ms
(* (/ z t) (/ z t))

series47.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(* (fabs (/ x y)) (fabs (/ x y)))
38.0ms
(* (/ z t) (/ z t))

simplify685.0ms

Counts
98 → 98

prune326.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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)))

rewrite34.0ms

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:
23.0ms
(* (/ z t) (/ z t))
4.0ms
(pow (sqrt (fabs (/ x y))) 3)
1.0ms
(sqrt (fabs (/ x y)))
1.0ms
(sqrt (fabs (/ x y)))

series86.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (/ z t) (/ z t))
28.0ms
(pow (sqrt (fabs (/ x y))) 3)
9.0ms
(sqrt (fabs (/ x y)))
10.0ms
(sqrt (fabs (/ x y)))

simplify828.0ms

Counts
137 → 137

prune473.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.0b

regimes656.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify907.0ms

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.5s15433×body80valid