Details

Time bar (total: 13.4s)

sample63.0ms

Algorithm
intervals
Results
30.0ms494×body80valid

simplify31.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
12415
24215
35415
done5415

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.7b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
19.8b
(/ (* z z) (* t t))
19.9b
(/ (* x x) (* y y))

rewrite86.0ms

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:
37.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
15.0ms
(/ (* z z) (* t t))
32.0ms
(/ (* x x) (* y y))

series185.0ms

Counts
3 → 9
Calls
3 calls:
112.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
35.0ms
(/ (* z z) (* t t))
38.0ms
(/ (* x x) (* y y))

simplify1.6s

Counts
64 → 64
Iterations

Useful iterations: done (1.6s)

IterNodesCost
0113909
1326856
21280664
done5000628

prune245.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.6b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ x y) (/ x y)) (/ (* z z) (* t t)))
0.3b
(* (/ x y) (/ x y))
19.8b
(/ (* z z) (* t t))

rewrite74.0ms

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:
18.0ms
(+ (* (/ x y) (/ x y)) (/ (* z z) (* t t)))
31.0ms
(* (/ x y) (/ x y))
21.0ms
(/ (* z z) (* t t))

series184.0ms

Counts
3 → 9
Calls
3 calls:
125.0ms
(+ (* (/ x y) (/ x y)) (/ (* z z) (* t t)))
30.0ms
(* (/ x y) (/ x y))
29.0ms
(/ (* z z) (* t t))

simplify1.4s

Counts
111 → 111
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01821515
15391368
219541133
done50001077

prune259.0ms

Pruning

11 alts after pruning (11 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)))
0.3b
(* (/ z t) (/ z t))
0.3b
(* (/ x y) (/ x y))

rewrite89.0ms

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)))
29.0ms
(* (/ z t) (/ z t))
39.0ms
(* (/ x y) (/ x y))

series184.0ms

Counts
3 → 9
Calls
3 calls:
121.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
34.0ms
(* (/ z t) (/ z t))
30.0ms
(* (/ x y) (/ x y))

simplify1.8s

Counts
163 → 163
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02552208
17651967
226861685
done50001637

prune426.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y))))
20.6b
(cbrt (* (/ x y) (/ x y)))
20.6b
(cbrt (* (/ x y) (/ x y)))
20.6b
(cbrt (* (/ x y) (/ x y)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-div
20×frac-times
14×associate-*r/ associate-*l/
12×add-sqr-sqrt
11×pow1 cbrt-prod
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* 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 → 85
Calls
4 calls:
15.0ms
(* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y))))
10.0ms
(cbrt (* (/ x y) (/ x y)))
17.0ms
(cbrt (* (/ x y) (/ x y)))
9.0ms
(cbrt (* (/ x y) (/ x y)))

series520.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y))))
127.0ms
(cbrt (* (/ x y) (/ x y)))
138.0ms
(cbrt (* (/ x y) (/ x y)))
126.0ms
(cbrt (* (/ x y) (/ x y)))

simplify2.9s

Counts
97 → 97
Iterations

Useful iterations: done (2.9s)

IterNodesCost
01121432
11951309
24651159
311541054
432691032
done5000778

prune346.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

regimes727.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01234
11434
done1434

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.3s15672×body80valid