Details

Time bar (total: 11.1s)

sample53.0ms

Algorithm
intervals
Results
28.0ms500×body80valid

simplify33.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
20.4b
(/ (* x x) (* y y))
21.6b
(/ (* z z) (* t t))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log add-cbrt-cube
8×cbrt-undiv div-exp prod-exp cbrt-unprod
5×*-un-lft-identity add-log-exp
3×pow1 add-sqr-sqrt add-cube-cbrt
2×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
1×+-commutative flip3-+ frac-add sum-log flip-+ distribute-lft-out
Counts
3 → 55
Calls
3 calls:
44.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
22.0ms
(/ (* x x) (* y y))
14.0ms
(/ (* z z) (* t t))

series274.0ms

Counts
3 → 9
Calls
3 calls:
173.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
54.0ms
(/ (* x x) (* y y))
47.0ms
(/ (* z z) (* t t))

simplify673.0ms

Counts
64 → 64

prune197.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.7b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (* (fabs (/ z t)) (fabs (/ z t))))
0.3b
(* (fabs (/ z t)) (fabs (/ z t)))
20.4b
(/ (* x x) (* y y))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-cbrt-cube
10×pow1
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
5×prod-exp cbrt-unprod add-log-exp
4×cbrt-undiv div-exp
3×swap-sqr associate-*r* associate-*l*
1×+-commutative pow2 frac-2neg flip3-+ times-frac pow-plus pow-prod-down clear-num associate-/r* sum-log pow-sqr *-commutative pow-prod-up flip-+ div-inv associate-/l* unswap-sqr
Counts
3 → 57
Calls
3 calls:
45.0ms
(+ (/ (* x x) (* y y)) (* (fabs (/ z t)) (fabs (/ z t))))
12.0ms
(* (fabs (/ z t)) (fabs (/ z t)))
14.0ms
(/ (* x x) (* y y))

series108.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(+ (/ (* x x) (* y y)) (* (fabs (/ z t)) (fabs (/ z t))))
14.0ms
(* (fabs (/ z t)) (fabs (/ z t)))
48.0ms
(/ (* x x) (* y y))

simplify735.0ms

Counts
66 → 66

prune221.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ x y) (/ x y)) (* (fabs (/ z t)) (fabs (/ z t))))
0.3b
(* (fabs (/ z t)) (fabs (/ z t)))
0.3b
(* (/ x y) (/ x y))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
40×times-frac
35×add-cube-cbrt *-un-lft-identity
17×pow1 add-exp-log add-cbrt-cube
16×swap-sqr associate-*r* associate-*l*
5×prod-exp cbrt-unprod add-log-exp unswap-sqr
4×cbrt-undiv div-exp div-inv
2×pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up
1×+-commutative frac-times flip3-+ associate-*r/ associate-*l/ sum-log flip-+
Counts
3 → 103
Calls
3 calls:
19.0ms
(+ (* (/ x y) (/ x y)) (* (fabs (/ z t)) (fabs (/ z t))))
15.0ms
(* (fabs (/ z t)) (fabs (/ z t)))
27.0ms
(* (/ x y) (/ x y))

series114.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(+ (* (/ x y) (/ x y)) (* (fabs (/ z t)) (fabs (/ z t))))
16.0ms
(* (fabs (/ z t)) (fabs (/ z t)))
38.0ms
(* (/ x y) (/ x y))

simplify1.1s

Counts
112 → 112

prune430.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite65.0ms

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:
50.0ms
(* (/ x y) (/ x y))
4.0ms
(pow (sqrt (fabs (/ z t))) 3)
1.0ms
(sqrt (fabs (/ z t)))
1.0ms
(sqrt (fabs (/ z t)))

series82.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(* (/ x y) (/ x y))
23.0ms
(pow (sqrt (fabs (/ z t))) 3)
10.0ms
(sqrt (fabs (/ z t)))
13.0ms
(sqrt (fabs (/ z t)))

simplify1.1s

Counts
137 → 137

prune587.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

regimes773.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.3s

end0.0ms

sample2.9s

Algorithm
intervals
Results
2.0s15495×body80valid