Details

Time bar (total: 13.1s)

sample28.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify2.6s

Counts
1 → 1
Iterations

Useful iterations: 6 (1.4s)

IterNodesCost
01317
12517
25917
313217
435317
575115
6264313
done500013

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ (* z 2.0) y) (/ t z))
1.3b
(/ 2.0 (- (/ (* z 2.0) y) (/ t z)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
23×*-un-lft-identity times-frac
13×add-cube-cbrt
10×difference-of-squares
6×associate-/r*
5×distribute-lft-out--
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r/ associate-/l*
2×pow1 flip3-- frac-sub flip--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 58
Calls
2 calls:
11.0ms
(- (/ (* z 2.0) y) (/ t z))
14.0ms
(/ 2.0 (- (/ (* z 2.0) y) (/ t z)))

series16.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(- (/ (* z 2.0) y) (/ t z))
9.0ms
(/ 2.0 (- (/ (* z 2.0) y) (/ t z)))

simplify3.4s

Counts
64 → 64
Iterations

Useful iterations: 4 (2.4s)

IterNodesCost
01051103
12091081
25391037
315231017
446891012
done50001012

prune119.0ms

Filtered
47 candidates to 64 candidates (-36.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New59564
Fresh011
Picked011
Done000
Total59766

Merged error: 0b

Counts
66 → 7

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ t z) (* (/ 2.0 y) z))
0.2b
(* (/ 2.0 y) z)
1.3b
(/ (neg 2.0) (- (/ t z) (* (/ 2.0 y) z)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
40×times-frac
39×add-sqr-sqrt
34×add-cube-cbrt *-un-lft-identity
13×associate-*l*
12×distribute-lft-neg-in distribute-rgt-neg-in
10×add-exp-log add-cbrt-cube associate-/l*
5×pow1 add-log-exp
4×neg-mul-1
3×associate-*r* associate-*l/ associate-/r* associate-/r/
2×cbrt-undiv flip3-- div-exp prod-exp frac-sub flip-- cbrt-unprod div-inv unswap-sqr
1×neg-sub0 sub-neg frac-2neg diff-log div-sub distribute-frac-neg pow-prod-down clear-num *-commutative
Counts
3 → 105
Calls
3 calls:
7.0ms
(- (/ t z) (* (/ 2.0 y) z))
7.0ms
(* (/ 2.0 y) z)
9.0ms
(/ (neg 2.0) (- (/ t z) (* (/ 2.0 y) z)))

series30.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(- (/ t z) (* (/ 2.0 y) z))
3.0ms
(* (/ 2.0 y) z)
19.0ms
(/ (neg 2.0) (- (/ t z) (* (/ 2.0 y) z)))

simplify2.8s

Counts
114 → 114
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
01841789
14211727
212841659
347011634
done50001634

prune177.0ms

Filtered
88 candidates to 114 candidates (-29.5%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1122114
Fresh235
Picked101
Done101
Total1165121

Merged error: 0b

Counts
121 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ t z) (/ 2.0 (/ y z)))
0.6b
(/ 2.0 (/ y z))
1.3b
(/ (neg 2.0) (- (/ t z) (/ 2.0 (/ y z))))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
344×add-sqr-sqrt
317×times-frac
164×*-un-lft-identity
92×add-cube-cbrt
72×difference-of-squares
36×distribute-lft-neg-in distribute-rgt-neg-in
24×associate-/r* distribute-lft-out--
13×associate-/l*
12×neg-mul-1
10×add-exp-log add-cbrt-cube
6×div-inv
5×add-log-exp
4×cbrt-undiv div-exp associate-/r/
3×pow1
2×flip3-- frac-2neg clear-num frac-sub flip--
1×neg-sub0 sub-neg diff-log div-sub distribute-frac-neg
Counts
3 → 239
Calls
3 calls:
33.0ms
(- (/ t z) (/ 2.0 (/ y z)))
6.0ms
(/ 2.0 (/ y z))
34.0ms
(/ (neg 2.0) (- (/ t z) (/ 2.0 (/ y z))))

series31.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(- (/ t z) (/ 2.0 (/ y z)))
3.0ms
(/ 2.0 (/ y z))
19.0ms
(/ (neg 2.0) (- (/ t z) (/ 2.0 (/ y z))))

simplify816.0ms

Counts
248 → 248
Iterations

Useful iterations: 2 (301.0ms)

IterNodesCost
03914985
18174787
221624693
done50004693

prune357.0ms

Filtered
183 candidates to 248 candidates (-35.5%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2471248
Fresh134
Picked011
Done000
Total2485253

Merged error: 0b

Counts
253 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ t z) (* (/ 2.0 y) z))
0.2b
(* (/ 2.0 y) z)
0.3b
(* (neg (sqrt 2.0)) (/ (sqrt 2.0) (- (/ t z) (* (/ 2.0 y) z))))
1.4b
(/ (sqrt 2.0) (- (/ t z) (* (/ 2.0 y) z)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
48×times-frac
45×add-cube-cbrt *-un-lft-identity
29×associate-*l*
28×associate-*r* sqrt-prod
16×add-exp-log add-cbrt-cube
8×pow1
6×distribute-lft-neg-in distribute-rgt-neg-in associate-/r/ associate-/l* add-log-exp
5×unswap-sqr
4×associate-*l/ prod-exp cbrt-unprod
3×cbrt-undiv flip3-- div-exp associate-/r* frac-sub flip-- div-inv
2×pow-prod-down *-commutative
1×distribute-lft-neg-out neg-mul-1 sub-neg frac-2neg diff-log associate-*r/ clear-num
Counts
4 → 146
Calls
4 calls:
7.0ms
(- (/ t z) (* (/ 2.0 y) z))
7.0ms
(* (/ 2.0 y) z)
20.0ms
(* (neg (sqrt 2.0)) (/ (sqrt 2.0) (- (/ t z) (* (/ 2.0 y) z))))
9.0ms
(/ (sqrt 2.0) (- (/ t z) (* (/ 2.0 y) z)))

series80.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(- (/ t z) (* (/ 2.0 y) z))
3.0ms
(* (/ 2.0 y) z)
39.0ms
(* (neg (sqrt 2.0)) (/ (sqrt 2.0) (- (/ t z) (* (/ 2.0 y) z))))
30.0ms
(/ (sqrt 2.0) (- (/ t z) (* (/ 2.0 y) z)))

simplify1.0s

Counts
158 → 158
Iterations

Useful iterations: 2 (430.0ms)

IterNodesCost
02072584
15352364
218392228
done50002228

prune259.0ms

Filtered
111 candidates to 158 candidates (-42.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1580158
Fresh033
Picked011
Done011
Total1585163

Merged error: 0b

Counts
163 → 5

regimes355.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01214
11414
done1414

end0.0ms

sample796.0ms

Algorithm
intervals
Results
407.0ms8000×body80valid

Profiling

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