Details

Time bar (total: 5.7s)

sample24.0ms

Algorithm
intervals
Results
7.0ms266×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
1107
2177
done177

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.3b

Counts
2 → 1

localize14.0ms

Local error

Found 1 expressions with local error:

2.3b
(/ x (- y (* z t)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
add-exp-log associate-/r* add-cbrt-cube associate-/l*
associate-/r/
pow1 cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
5.0ms
(/ x (- y (* z t)))

series13.0ms

Counts
1 → 3
Calls
1 calls:
13.0ms
(/ x (- y (* z t)))

simplify825.0ms

Counts
32 → 32
Iterations

Useful iterations: 4 (326.0ms)

IterNodesCost
063378
1136370
2355343
3966341
42842340
done5000340

prune61.0ms

Filtered
25 candidates to 32 candidates (-28.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New26632
Fresh000
Picked011
Done000
Total26733

Merged error: 2.2b

Counts
33 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ 1 (- y (* z t)))
2.0b
(* x (/ 1 (- y (* z t))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
20×times-frac
19×*-un-lft-identity
18×add-cube-cbrt
15×add-exp-log associate-*r*
add-cbrt-cube
pow1
div-exp prod-exp associate-/r/
associate-*l* associate-/r* associate-/l* unswap-sqr
cbrt-undiv rec-exp flip3-- 1-exp flip-- cbrt-unprod div-inv add-log-exp
pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 71
Calls
2 calls:
5.0ms
(/ 1 (- y (* z t)))
9.0ms
(* x (/ 1 (- y (* z t))))

series24.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(/ 1 (- y (* z t)))
12.0ms
(* x (/ 1 (- y (* z t))))

simplify1.2s

Counts
77 → 77
Iterations

Useful iterations: 4 (647.0ms)

IterNodesCost
099883
1245782
2718663
31804657
44326656
done5001656

prune78.0ms

Filtered
40 candidates to 77 candidates (-92.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New77077
Fresh055
Picked011
Done011
Total77784

Merged error: 2.2b

Counts
84 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
1.1b
(/ (cbrt x) (- y (* z t)))
1.5b
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
38×times-frac
34×add-cube-cbrt *-un-lft-identity
28×cbrt-prod
24×associate-*r*
18×add-exp-log
11×add-cbrt-cube
pow1
prod-exp cbrt-unprod associate-/l*
associate-/r/ add-log-exp
cbrt-undiv div-exp pow-prod-down associate-/r* unswap-sqr
flip3-- pow1/3 flip-- div-inv
frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
4 → 110
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
12.0ms
(/ (cbrt x) (- y (* z t)))
14.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))

series105.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(cbrt x)
24.0ms
(cbrt x)
34.0ms
(/ (cbrt x) (- y (* z t)))
16.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))

simplify560.0ms

Counts
122 → 122
Iterations

Useful iterations: done (556.0ms)

IterNodesCost
01481668
14041616
216811400
done50001379

prune128.0ms

Filtered
96 candidates to 122 candidates (-27.1%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1220122
Fresh044
Picked011
Done022
Total1227129

Merged error: 2.2b

Counts
129 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

2.3b
(/ x (- y (* z t)))
16.7b
(cbrt (/ x (- y (* z t))))
16.7b
(cbrt (/ x (- y (* z t))))
16.7b
(cbrt (/ x (- y (* z t))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
45×cbrt-prod
36×times-frac
33×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-/r/
add-exp-log add-cbrt-cube
pow1 flip3-- flip-- div-inv add-log-exp
cbrt-div pow1/3 associate-/r* associate-/l*
cbrt-undiv frac-2neg div-exp clear-num
Counts
4 → 101
Calls
4 calls:
5.0ms
(/ x (- y (* z t)))
4.0ms
(cbrt (/ x (- y (* z t))))
4.0ms
(cbrt (/ x (- y (* z t))))
4.0ms
(cbrt (/ x (- y (* z t))))

series121.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(/ x (- y (* z t)))
34.0ms
(cbrt (/ x (- y (* z t))))
41.0ms
(cbrt (/ x (- y (* z t))))
34.0ms
(cbrt (/ x (- y (* z t))))

simplify1.1s

Counts
113 → 113
Iterations

Useful iterations: 4 (501.0ms)

IterNodesCost
01241707
12391651
25961561
315651538
445791510
done50001510

prune124.0ms

Filtered
97 candidates to 113 candidates (-16.5%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1121113
Fresh123
Picked011
Done033
Total1137120

Merged error: 2.2b

Counts
120 → 7

regimes469.0ms

Accuracy

0% (0.1b remaining)

Error of 2.9b against oracle of 2.9b and baseline of 2.9b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
187
done87

end0.0ms

sample681.0ms

Algorithm
intervals
Results
262.0ms8369×body80valid

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