Details

Time bar (total: 5.4s)

sample53.0ms

Algorithm
intervals
Results
30.0ms508×body80valid

simplify4.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
21.9b
(/ (* x x) (* y y))
23.6b
(/ (* z z) (* t t))

rewrite61.0ms

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:
33.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
13.0ms
(/ (* x x) (* y y))
13.0ms
(/ (* z z) (* t t))

series151.0ms

Counts
3 → 9
Calls
3 calls:
96.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
27.0ms
(/ (* x x) (* y y))
28.0ms
(/ (* z z) (* t t))

simplify35.0ms

Counts
64 → 64

prune137.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.5b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
0.4b
(* (/ z t) (/ z t))
21.9b
(/ (* x x) (* y y))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
41×times-frac
31×add-cube-cbrt *-un-lft-identity
27×add-exp-log add-cbrt-cube
13×swap-sqr associate-*r* associate-*l*
10×pow1
8×cbrt-undiv div-exp prod-exp cbrt-unprod
5×div-inv add-log-exp
4×unswap-sqr
3×frac-add
2×frac-times associate-*r/ associate-*l/
1×+-commutative pow2 frac-2neg flip3-+ pow-plus pow-prod-down clear-num associate-/r* sum-log pow-sqr *-commutative pow-prod-up flip-+ associate-/l*
Counts
3 → 102
Calls
3 calls:
22.0ms
(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
27.0ms
(* (/ z t) (/ z t))
13.0ms
(/ (* x x) (* y y))

series184.0ms

Counts
3 → 9
Calls
3 calls:
112.0ms
(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
31.0ms
(* (/ z t) (/ z t))
41.0ms
(/ (* x x) (* y y))

simplify80.0ms

Counts
111 → 111

prune239.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
0.4b
(* (/ x y) (/ x y))
0.4b
(* (/ z t) (/ z t))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
83×add-sqr-sqrt
80×times-frac
59×add-cube-cbrt *-un-lft-identity
27×add-exp-log add-cbrt-cube
26×swap-sqr associate-*r* associate-*l*
17×pow1
9×frac-add
8×cbrt-undiv frac-times associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod div-inv unswap-sqr
5×add-log-exp
2×pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 154
Calls
3 calls:
14.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
45.0ms
(* (/ x y) (/ x y))
27.0ms
(* (/ z t) (/ z t))

series157.0ms

Counts
3 → 9
Calls
3 calls:
98.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
31.0ms
(* (/ x y) (/ x y))
27.0ms
(* (/ z t) (/ z t))

simplify94.0ms

Counts
163 → 163

prune363.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
11.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series822.0ms

Counts
4 → 12
Calls
4 calls:
222.0ms
(* (cbrt y) (cbrt y))
209.0ms
(cbrt x)
195.0ms
(cbrt x)
195.0ms
(cbrt x)

simplify66.0ms

Counts
85 → 85

prune267.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 0.0b

regimes541.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.2s15718×body80valid