Details

Time bar (total: 7.8s)

sample50.0ms

Algorithm
intervals
Results
21.0ms517×body80valid

simplify2.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01113
11913
24913
313813
429513
547313
660313
785013
8117213
9205913
10232013
11256713
12306413
13331313
14356013
15405713
16430613
17455313
done500013

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.1b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) (* (* y 4.0) (- (* z z) t)))
6.7b
(* (* y 4.0) (- (* z z) t))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×sub-neg
4×distribute-rgt-in add-sqr-sqrt distribute-lft-in associate-*r* associate--r+ add-log-exp
3×add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
2×flip3-- associate-*r/ flip--
1×diff-log associate-*l* *-commutative difference-of-squares
Counts
2 → 41
Calls
2 calls:
4.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
9.0ms
(* (* y 4.0) (- (* z z) t))

series39.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
15.0ms
(* (* y 4.0) (- (* z z) t))

simplify419.0ms

Counts
47 → 47
Iterations

Useful iterations: done (418.0ms)

IterNodesCost
093707
1268669
21100583
done5000579

prune71.0ms

Filtered
29 candidates to 47 candidates (-62.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New42547
Fresh000
Picked011
Done000
Total42648

Merged error: 3.7b

Counts
48 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* y 4.0) (sqrt (- (* z z) t)))
0.2b
(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
6.6b
(sqrt (- (* z z) t))
6.6b
(sqrt (- (* z z) t))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1
18×add-exp-log sqrt-div add-cbrt-cube
16×add-sqr-sqrt sqrt-prod
14×associate-*r*
10×add-cube-cbrt *-un-lft-identity associate-*r/
9×flip3-- pow-prod-down prod-exp flip-- cbrt-unprod
4×frac-times add-log-exp difference-of-squares
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l* associate-*l/ *-commutative
Counts
4 → 89
Calls
4 calls:
11.0ms
(* (* y 4.0) (sqrt (- (* z z) t)))
20.0ms
(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
5.0ms
(sqrt (- (* z z) t))
5.0ms
(sqrt (- (* z z) t))

series50.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* (* y 4.0) (sqrt (- (* z z) t)))
15.0ms
(* (* (* y 4.0) (sqrt (- (* z z) t))) (sqrt (- (* z z) t)))
11.0ms
(sqrt (- (* z z) t))
7.0ms
(sqrt (- (* z z) t))

simplify503.0ms

Counts
101 → 101
Iterations

Useful iterations: 2 (125.0ms)

IterNodesCost
01351687
13751372
214211130
done50011130

prune129.0ms

Filtered
71 candidates to 101 candidates (-42.3%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1001101
Fresh044
Picked011
Done011
Total1007107

Merged error: 3.7b

Counts
107 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (sqrt (- (* z z) t))) (sqrt (sqrt (- (* z z) t))))
6.6b
(sqrt (- (* z z) t))
6.6b
(sqrt (- (* z z) t))
6.6b
(sqrt (- (* z z) t))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
86×sqrt-prod
59×add-sqr-sqrt
35×sqrt-pow1
30×pow1 sqrt-div
19×add-cube-cbrt *-un-lft-identity pow1/2
16×swap-sqr
10×associate-*r* associate-*l*
9×flip3-- pow-prod-up flip-- unswap-sqr
7×difference-of-squares
6×add-exp-log add-cbrt-cube
5×pow-prod-down pow-sqr
4×frac-times add-log-exp
3×rem-sqrt-square
2×associate-*r/ associate-*l/
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 134
Calls
4 calls:
19.0ms
(* (sqrt (sqrt (- (* z z) t))) (sqrt (sqrt (- (* z z) t))))
5.0ms
(sqrt (- (* z z) t))
5.0ms
(sqrt (- (* z z) t))
5.0ms
(sqrt (- (* z z) t))

series27.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (sqrt (sqrt (- (* z z) t))) (sqrt (sqrt (- (* z z) t))))
7.0ms
(sqrt (- (* z z) t))
7.0ms
(sqrt (- (* z z) t))
7.0ms
(sqrt (- (* z z) t))

simplify596.0ms

Counts
146 → 146
Iterations

Useful iterations: 3 (188.0ms)

IterNodesCost
01342488
12451611
26741446
320141411
done50001411

prune155.0ms

Filtered
84 candidates to 146 candidates (-73.8%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1451146
Fresh044
Picked011
Done022
Total1458153

Merged error: 3.7b

Counts
153 → 8

localize22.0ms

Local error

Found 4 expressions with local error:

6.6b
(sqrt (- (* z z) t))
6.6b
(sqrt (- (* z z) t))
6.6b
(sqrt (- (* z z) t))
6.6b
(sqrt (- (* z z) t))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt sqrt-prod
8×pow1 add-cube-cbrt *-un-lft-identity sqrt-div
4×add-exp-log rem-sqrt-square flip3-- sqrt-pow1 pow1/2 add-cbrt-cube flip-- add-log-exp difference-of-squares
Counts
4 → 64
Calls
4 calls:
5.0ms
(sqrt (- (* z z) t))
5.0ms
(sqrt (- (* z z) t))
5.0ms
(sqrt (- (* z z) t))
5.0ms
(sqrt (- (* z z) t))

series27.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(sqrt (- (* z z) t))
7.0ms
(sqrt (- (* z z) t))
7.0ms
(sqrt (- (* z z) t))
7.0ms
(sqrt (- (* z z) t))

simplify840.0ms

Counts
76 → 76
Iterations

Useful iterations: 3 (73.0ms)

IterNodesCost
055820
1122740
2326684
3671676
41352676
52791676
done5001676

prune113.0ms

Filtered
64 candidates to 76 candidates (-18.8%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New76076
Fresh044
Picked011
Done033
Total76884

Merged error: 3.7b

Counts
84 → 8

regimes1.1s

Accuracy

78.7% (0.7b remaining)

Error of 3.3b against oracle of 2.6b and baseline of 5.8b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02036
12536
done2536

end0.0ms

sample1.5s

Algorithm
intervals
Results
680.0ms16179×body80valid

Profiling

Loading profile data...