Details

Time bar (total: 11.9s)

sample62.0ms

Algorithm
intervals
Results
30.0ms481×body80valid

simplify33.0ms

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: 33.4b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
19.7b
(/ (* x x) (* y y))
21.1b
(/ (* z z) (* t t))

rewrite62.0ms

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:
32.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
13.0ms
(/ (* x x) (* y y))
15.0ms
(/ (* z z) (* t t))

series154.0ms

Counts
3 → 9
Calls
3 calls:
98.0ms
(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
28.0ms
(/ (* x x) (* y y))
28.0ms
(/ (* z z) (* t t))

simplify2.1s

Counts
64 → 64
Iterations

Useful iterations: 2 (455.0ms)

IterNodesCost
0113909
1430884
24331666
done5000666

prune195.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
0.3b
(* (/ z t) (/ z t))
19.7b
(/ (* x x) (* y y))

rewrite117.0ms

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:
44.0ms
(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
41.0ms
(* (/ z t) (/ z t))
24.0ms
(/ (* x x) (* y y))

series198.0ms

Counts
3 → 9
Calls
3 calls:
117.0ms
(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
40.0ms
(* (/ z t) (/ z t))
41.0ms
(/ (* x x) (* y y))

simplify2.5s

Counts
111 → 111
Iterations

Useful iterations: 2 (826.0ms)

IterNodesCost
01821515
16711402
249211167
done50001167

prune315.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

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))

rewrite74.0ms

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:
17.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
22.0ms
(* (/ z t) (/ z t))
27.0ms
(* (/ x y) (/ x y))

series189.0ms

Counts
3 → 9
Calls
3 calls:
121.0ms
(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
36.0ms
(* (/ z t) (/ z t))
31.0ms
(* (/ x y) (/ x y))

simplify436.0ms

Counts
163 → 163
Iterations

Useful iterations: done (431.0ms)

IterNodesCost
02552208
19172007
done50001805

prune482.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (/ z t)) (cbrt (/ z t)))
10.6b
(cbrt (/ z t))
10.6b
(cbrt (/ z t))
10.6b
(cbrt (/ z t))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 144
Calls
4 calls:
50.0ms
(* (cbrt (/ z t)) (cbrt (/ z t)))
4.0ms
(cbrt (/ z t))
4.0ms
(cbrt (/ z t))
4.0ms
(cbrt (/ z t))

series362.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(* (cbrt (/ z t)) (cbrt (/ z t)))
79.0ms
(cbrt (/ z t))
93.0ms
(cbrt (/ z t))
80.0ms
(cbrt (/ z t))

simplify1.1s

Counts
156 → 156
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01611876
12831747
212181675
done50001646

prune540.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0b

regimes541.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01325
11625
done1625

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.5s15531×body80valid