Details

Time bar (total: 7.1s)

sample33.0ms

Algorithm
intervals
Results
17.0ms505×body80valid

simplify16.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01115
12415
24215
35415
done5415

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.4b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
18.9b
(/ (* x x) (* y y))
21.7b
(/ (* z z) (* t t))

rewrite21.0ms

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:
9.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
5.0ms
(/ (* x x) (* y y))
5.0ms
(/ (* z z) (* t t))

series145.0ms

Counts
3 → 9
Calls
3 calls:
93.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
26.0ms
(/ (* x x) (* y y))
27.0ms
(/ (* z z) (* t t))

simplify552.0ms

Counts
64 → 64
Iterations

Useful iterations: 2 (120.0ms)

IterNodesCost
0113909
1362856
21718664
done5000664

prune146.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
0.4b
(* (/ z t) (/ z t))
18.9b
(/ (* x x) (* y y))

rewrite33.0ms

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:
8.0ms
(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
16.0ms
(* (/ z t) (/ z t))
5.0ms
(/ (* x x) (* y y))

series143.0ms

Counts
3 → 9
Calls
3 calls:
92.0ms
(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
25.0ms
(* (/ z t) (/ z t))
26.0ms
(/ (* x x) (* y y))

simplify983.0ms

Counts
111 → 111
Iterations

Useful iterations: 2 (198.0ms)

IterNodesCost
01821515
15801368
227041129
done50001129

prune237.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
0.3b
(* (/ x y) (/ x y))
0.4b
(* (/ z t) (/ z t))

rewrite39.0ms

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:
6.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
13.0ms
(* (/ x y) (/ x y))
13.0ms
(* (/ z t) (/ z t))

series150.0ms

Counts
3 → 9
Calls
3 calls:
93.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
26.0ms
(* (/ x y) (/ x y))
30.0ms
(* (/ z t) (/ z t))

simplify1.4s

Counts
163 → 163
Iterations

Useful iterations: 2 (269.0ms)

IterNodesCost
02552208
18041967
236791685
done50001685

prune368.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
0.0ms
(cbrt t)
0.0ms
(cbrt z)
0.0ms
(cbrt z)
1.0ms
(cbrt z)

series728.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt t)
180.0ms
(cbrt z)
190.0ms
(cbrt z)
178.0ms
(cbrt z)

simplify498.0ms

Counts
56 → 56
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
042260
171244
2150220
3347208
41081208
done5000208

prune184.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 0.0b

regimes435.0ms

Accuracy

0% (0.9b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01629
11929
done1929

end0.0ms

sample919.0ms

Algorithm
intervals
Results
542.0ms15534×body80valid