Details

Time bar (total: 13.2s)

sample41.0ms

Algorithm
intervals
Results
19.0ms256×body80valid

simplify1.0s

Counts
1 → 1
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
013325
125325
260285
3141285
4348285
51610285
done5001285

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.6b

localize32.0ms

Local error

Found 3 expressions with local error:

0.7b
(- (* (* z 2.0) z) (* y t))
5.0b
(/ y (/ (- (* (* z 2.0) z) (* y t)) (* z 2.0)))
14.2b
(/ (- (* (* z 2.0) z) (* y t)) (* z 2.0))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
21×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
17×add-cbrt-cube add-exp-log
8×associate-/r*
7×cbrt-undiv div-exp
6×div-inv associate-/l*
5×add-log-exp
3×pow1
2×clear-num frac-2neg flip3-- prod-exp cbrt-unprod flip-- associate-/l/
1×sub-neg diff-log div-sub associate-/r/
Counts
3 → 84
Calls
3 calls:
18.0ms
(- (* (* z 2.0) z) (* y t))
41.0ms
(/ y (/ (- (* (* z 2.0) z) (* y t)) (* z 2.0)))
56.0ms
(/ (- (* (* z 2.0) z) (* y t)) (* z 2.0))

series333.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(- (* (* z 2.0) z) (* y t))
210.0ms
(/ y (/ (- (* (* z 2.0) z) (* y t)) (* z 2.0)))
80.0ms
(/ (- (* (* z 2.0) z) (* y t)) (* z 2.0))

simplify1.7s

Counts
93 → 93
Iterations

Useful iterations: 2 (605.0ms)

IterNodesCost
015533174
144331256
2212930170
done500230170

prune595.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.2b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* 1.0 z) (* 0.5 (/ (* t y) z)))
5.0b
(/ y (- (* 1.0 z) (* 0.5 (/ (* t y) z))))
5.3b
(/ (* t y) z)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
12×times-frac
10×add-cbrt-cube add-exp-log
6×associate-/r*
5×add-log-exp
4×associate-/l*
3×pow1 cbrt-undiv div-exp
2×clear-num frac-2neg flip3-- associate-/r/ div-inv flip--
1×sub-neg diff-log prod-exp cbrt-unprod
Counts
3 → 62
Calls
3 calls:
9.0ms
(- (* 1.0 z) (* 0.5 (/ (* t y) z)))
14.0ms
(/ y (- (* 1.0 z) (* 0.5 (/ (* t y) z))))
11.0ms
(/ (* t y) z)

series300.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(- (* 1.0 z) (* 0.5 (/ (* t y) z)))
211.0ms
(/ y (- (* 1.0 z) (* 0.5 (/ (* t y) z))))
35.0ms
(/ (* t y) z)

simplify1.3s

Counts
71 → 71
Iterations

Useful iterations: done (1.3s)

IterNodesCost
011520152
128818955
2127918755
done500018635

prune382.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* 1.0 z) (* 0.5 (/ t (/ z y))))
3.5b
(/ t (/ z y))
5.0b
(/ y (- (* 1.0 z) (* 0.5 (/ t (/ z y)))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
53×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×associate-/r*
10×add-cbrt-cube add-exp-log
6×div-inv associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1 associate-/r/
2×clear-num frac-2neg flip3-- flip--
1×sub-neg diff-log
Counts
3 → 111
Calls
3 calls:
10.0ms
(- (* 1.0 z) (* 0.5 (/ t (/ z y))))
12.0ms
(/ t (/ z y))
16.0ms
(/ y (- (* 1.0 z) (* 0.5 (/ t (/ z y)))))

series404.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(- (* 1.0 z) (* 0.5 (/ t (/ z y))))
34.0ms
(/ t (/ z y))
286.0ms
(/ y (- (* 1.0 z) (* 0.5 (/ t (/ z y)))))

simplify2.0s

Counts
120 → 120
Iterations

Useful iterations: done (2.0s)

IterNodesCost
021537476
154235187
2247234334
done500034093

prune766.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* 1.0 z) (* 0.5 (* (/ t z) y)))
5.0b
(/ y (- (* 1.0 z) (* 0.5 (* (/ t z) y))))
5.4b
(* (/ t z) y)

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×*-un-lft-identity times-frac add-cube-cbrt
13×associate-*l*
10×add-cbrt-cube add-exp-log
5×pow1 add-log-exp
3×associate-/r* associate-*r* associate-/l*
2×cbrt-undiv flip3-- div-exp prod-exp associate-/r/ cbrt-unprod div-inv flip-- unswap-sqr
1×clear-num sub-neg frac-2neg diff-log pow-prod-down associate-*l/ *-commutative
Counts
3 → 73
Calls
3 calls:
11.0ms
(- (* 1.0 z) (* 0.5 (* (/ t z) y)))
17.0ms
(/ y (- (* 1.0 z) (* 0.5 (* (/ t z) y))))
23.0ms
(* (/ t z) y)

series404.0ms

Counts
3 → 9
Calls
3 calls:
91.0ms
(- (* 1.0 z) (* 0.5 (* (/ t z) y)))
277.0ms
(/ y (- (* 1.0 z) (* 0.5 (* (/ t z) y))))
37.0ms
(* (/ t z) y)

simplify1.3s

Counts
82 → 82
Iterations

Useful iterations: done (1.3s)

IterNodesCost
013322106
133720950
2147320749
done500120589

prune559.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes281.0ms

Accuracy

0% (0.5b remaining)

Error of 0.9b against oracle of 0.4b and baseline of 0.9b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
013286
116286
done16286

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.1s8000×body80valid