Details

Time bar (total: 6.2s)

sample34.0ms

Algorithm
intervals
Results
11.0ms311×body80valid
2.0ms13×body640valid
1.0ms7×body320valid
0.0ms3×body1280valid

simplify21.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0911
1189
2327
3457
4497
done497

prune10.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(* d1 (+ (+ 3.0 d2) d3))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*r*
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube distribute-lft-out
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
10.0ms
(* d1 (+ (+ 3.0 d2) d3))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(* d1 (+ (+ 3.0 d2) d3))

simplify716.0ms

Counts
27 → 27
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
051265
1148253
2477218
31956218
done5000218

prune46.0ms

Filtered
16 candidates to 27 candidates (-68.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New24327
Fresh011
Picked011
Done000
Total24529

Merged error: 0.0b

Counts
29 → 5

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
0.0b
(+ (* d1 3.0) (* d1 d2))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
3×distribute-lft-out
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
1×associate-+l+
Counts
2 → 26
Calls
2 calls:
6.0ms
(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
4.0ms
(+ (* d1 3.0) (* d1 d2))

series15.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
6.0ms
(+ (* d1 3.0) (* d1 d2))

simplify885.0ms

Counts
32 → 32
Iterations

Useful iterations: 3 (236.0ms)

IterNodesCost
055445
1184344
2686289
32585285
done5000285

prune44.0ms

Filtered
21 candidates to 32 candidates (-52.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New32032
Fresh033
Picked011
Done011
Total32537

Merged error: 0.0b

Counts
37 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (+ 3.0 d2) d3))
0.0b
(sqrt (+ (+ 3.0 d2) d3))
0.2b
(* d1 (sqrt (+ (+ 3.0 d2) d3)))
0.3b
(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (sqrt (+ (+ 3.0 d2) d3)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
21×sqrt-prod
18×sqrt-div
17×add-sqr-sqrt
16×associate-*r*
13×pow1
12×distribute-lft-out
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*r/
9×flip3-+ flip-+
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 91
Calls
4 calls:
6.0ms
(sqrt (+ (+ 3.0 d2) d3))
6.0ms
(sqrt (+ (+ 3.0 d2) d3))
10.0ms
(* d1 (sqrt (+ (+ 3.0 d2) d3)))
18.0ms
(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (sqrt (+ (+ 3.0 d2) d3)))

series39.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(sqrt (+ (+ 3.0 d2) d3))
7.0ms
(sqrt (+ (+ 3.0 d2) d3))
16.0ms
(* d1 (sqrt (+ (+ 3.0 d2) d3)))
8.0ms
(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (sqrt (+ (+ 3.0 d2) d3)))

simplify1.5s

Counts
103 → 103
Iterations

Useful iterations: 3 (563.0ms)

IterNodesCost
01351595
13611333
212181220
348681175
done50001175

prune183.0ms

Filtered
74 candidates to 103 candidates (-39.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1021103
Fresh022
Picked011
Done022
Total1026108

Merged error: 0b

Counts
108 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (sqrt (+ (+ 3.0 d2) d3)))
0.2b
(cbrt (sqrt (+ (+ 3.0 d2) d3)))
0.3b
(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3)))))
0.5b
(* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3))))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
76×cbrt-prod
74×*-un-lft-identity
70×sqrt-div
52×cbrt-div
50×sqrt-prod
42×add-sqr-sqrt
35×flip3-+ flip-+
34×associate-*r/
32×frac-times
30×distribute-lft-out
23×pow1
20×add-cube-cbrt
19×swap-sqr
18×add-exp-log
12×associate-*r* associate-*l* add-cbrt-cube
10×pow-prod-down associate-*l/
9×prod-exp cbrt-unprod unswap-sqr
8×pow1/3
4×add-log-exp
2×pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus
Counts
4 → 160
Calls
4 calls:
11.0ms
(cbrt (sqrt (+ (+ 3.0 d2) d3)))
7.0ms
(cbrt (sqrt (+ (+ 3.0 d2) d3)))
30.0ms
(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3)))))
20.0ms
(* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3))))

series112.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(cbrt (sqrt (+ (+ 3.0 d2) d3)))
23.0ms
(cbrt (sqrt (+ (+ 3.0 d2) d3)))
50.0ms
(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3)))))
19.0ms
(* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3))))

simplify651.0ms

Counts
172 → 172
Iterations

Useful iterations: done (644.0ms)

IterNodesCost
02674815
16794494
221844174
done50004164

prune762.0ms

Filtered
101 candidates to 172 candidates (-70.3%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1720172
Fresh022
Picked011
Done033
Total1726178

Merged error: 0b

Counts
178 → 6

regimes250.0ms

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
077
1107
done107

end0.0ms

sample829.0ms

Algorithm
intervals
Results
346.0ms9721×body80valid
25.0ms207×body640valid
21.0ms148×body320valid
15.0ms98×body1280valid
4.0ms67×body160valid

Profiling

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