Details

Time bar (total: 6.7s)

sample31.0ms

Algorithm
intervals
Results
10.0ms269×body80valid

simplify2.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01011
11911
24011
38011
414611
525111
634811
755411
889011
9129311
10147711
11173211
12229311
13245311
14270611
15327011
16343011
17368211
18424611
19440611
20466011
done500011

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- y t))
7.8b
(/ x (* (- y z) (- y t)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
add-exp-log add-cbrt-cube
frac-times associate-/r/
add-cube-cbrt
associate-*r* associate-*l*
pow1 associate-*r/ associate-*l/
times-frac associate-/l*
cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 63
Calls
2 calls:
16.0ms
(* (- y z) (- y t))
10.0ms
(/ x (* (- y z) (- y t)))

series29.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* (- y z) (- y t))
22.0ms
(/ x (* (- y z) (- y t)))

simplify418.0ms

Counts
69 → 69
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
0125860
1307838
21246754
done5000754

prune108.0ms

Filtered
51 candidates to 69 candidates (-35.3%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New64569
Fresh000
Picked101
Done000
Total65570

Merged error: 0b

Counts
70 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y z) (- y t))
0.8b
(/ 1 (/ (* (- y z) (- y t)) x))
7.6b
(/ (* (- y z) (- y t)) x)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
31×add-exp-log
29×add-sqr-sqrt
27×*-un-lft-identity
23×add-cube-cbrt
19×add-cbrt-cube
14×div-exp
12×flip3-- flip--
10×associate-/r*
frac-times associate-/l/
cbrt-undiv
pow1 div-inv
associate-*r* associate-*l* prod-exp
associate-*r/ associate-*l/ associate-/l*
rec-exp 1-exp cbrt-unprod add-log-exp
distribute-rgt-in sub-neg frac-2neg distribute-lft-in clear-num distribute-lft-out-- difference-of-squares
pow-flip pow-prod-down associate-/r/ *-commutative inv-pow unswap-sqr
Counts
3 → 119
Calls
3 calls:
11.0ms
(* (- y z) (- y t))
10.0ms
(/ 1 (/ (* (- y z) (- y t)) x))
11.0ms
(/ (* (- y z) (- y t)) x)

series61.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* (- y z) (- y t))
36.0ms
(/ 1 (/ (* (- y z) (- y t)) x))
17.0ms
(/ (* (- y z) (- y t)) x)

simplify524.0ms

Counts
128 → 128
Iterations

Useful iterations: 2 (165.0ms)

IterNodesCost
02011812
15441678
221191450
done50001450

prune115.0ms

Filtered
76 candidates to 128 candidates (-68.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1271128
Fresh224
Picked011
Done000
Total1294133

Merged error: 0b

Counts
133 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y z))
0.1b
(/ (/ 1 (- y z)) (- y t))
7.4b
(* (/ (/ 1 (- y z)) (- y t)) x)

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
395×times-frac
329×add-sqr-sqrt
318×*-un-lft-identity
157×add-cube-cbrt
111×associate-*l*
80×distribute-lft-out-- difference-of-squares
31×add-exp-log
28×associate-/r/
24×associate-/l*
19×add-cbrt-cube
14×flip3-- div-exp flip-- div-inv
10×associate-/r*
cbrt-undiv
pow1
prod-exp
unswap-sqr
rec-exp 1-exp associate-*r* cbrt-unprod add-log-exp
frac-2neg clear-num
pow-flip pow-prod-down associate-*l/ *-commutative associate-/l/ inv-pow
Counts
3 → 327
Calls
3 calls:
6.0ms
(/ 1 (- y z))
14.0ms
(/ (/ 1 (- y z)) (- y t))
33.0ms
(* (/ (/ 1 (- y z)) (- y t)) x)

series63.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ 1 (- y z))
15.0ms
(/ (/ 1 (- y z)) (- y t))
42.0ms
(* (/ (/ 1 (- y z)) (- y t)) x)

simplify557.0ms

Counts
336 → 336
Iterations

Useful iterations: done (547.0ms)

IterNodesCost
03565290
19434850
226424385
done50004373

prune266.0ms

Filtered
172 candidates to 336 candidates (-95.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New3360336
Fresh022
Picked011
Done011
Total3364340

Merged error: 0b

Counts
340 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
2.4b
(/ (/ x (- y z)) (- y t))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
add-exp-log add-cbrt-cube
flip3-- flip-- div-inv
cbrt-undiv div-exp
pow1 frac-2neg clear-num add-log-exp
associate-/l/
Counts
2 → 185
Calls
2 calls:
6.0ms
(/ x (- y z))
14.0ms
(/ (/ x (- y z)) (- y t))

series34.0ms

Counts
2 → 6
Calls
2 calls:
12.0ms
(/ x (- y z))
22.0ms
(/ (/ x (- y z)) (- y t))

simplify487.0ms

Counts
191 → 191
Iterations

Useful iterations: 2 (174.0ms)

IterNodesCost
02643352
16473172
220533096
done50003096

prune153.0ms

Filtered
129 candidates to 191 candidates (-48.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1910191
Fresh011
Picked011
Done022
Total1914195

Merged error: 0b

Counts
195 → 4

regimes292.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
11513
done1513

end0.0ms

sample963.0ms

Algorithm
intervals
Results
534.0ms8432×body80valid

Profiling

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