Details

Time bar (total: 4.4s)

sample26.0ms

Algorithm
intervals
Results
9.0ms277×body80valid

simplify106.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1149
2299
3549
4769
5999
61199
71299
81399
91409
101459
done1459

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.7b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

11.9b
(/ (* x (- y z)) (- t z))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
5×times-frac associate-/r*
3×add-cube-cbrt
2×cbrt-undiv flip3-- associate-*r/ div-exp associate-/r/ flip-- associate-/l/ distribute-lft-out-- difference-of-squares
1×pow1 frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 29
Calls
1 calls:
10.0ms
(/ (* x (- y z)) (- t z))

series18.0ms

Counts
1 → 3
Calls
1 calls:
18.0ms
(/ (* x (- y z)) (- t z))

simplify769.0ms

Counts
32 → 32
Iterations

Useful iterations: done (768.0ms)

IterNodesCost
075382
1211369
2739315
33325315
done5001313

prune60.0ms

Filtered
23 candidates to 32 candidates (-39.1%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New26632
Fresh000
Picked101
Done000
Total27633

Merged error: 0.0b

Counts
33 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
3.2b
(* x (/ (- y z) (- t z)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
9.0ms
(/ (- y z) (- t z))
15.0ms
(* x (/ (- y z) (- t z)))

series34.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(/ (- y z) (- t z))
19.0ms
(* x (/ (- y z) (- t z)))

simplify727.0ms

Counts
108 → 108
Iterations

Useful iterations: done (724.0ms)

IterNodesCost
01381319
13521247
210571165
333581165
done50011163

prune97.0ms

Filtered
71 candidates to 108 candidates (-52.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1062108
Fresh235
Picked011
Done000
Total1086114

Merged error: 0b

Counts
114 → 6

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- t z))
0.2b
(* (- y z) (/ 1 (- t z)))
3.2b
(* x (* (- y z) (/ 1 (- t z))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×add-cube-cbrt
22×associate-*r*
19×add-cbrt-cube
13×prod-exp
11×pow1
8×associate-*r/ associate-*l* distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp flip--
5×associate-/r*
4×frac-times pow-prod-down associate-*l/ associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×un-div-inv *-commutative div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 119
Calls
3 calls:
6.0ms
(/ 1 (- t z))
15.0ms
(* (- y z) (/ 1 (- t z)))
14.0ms
(* x (* (- y z) (/ 1 (- t z))))

series34.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ 1 (- t z))
10.0ms
(* (- y z) (/ 1 (- t z)))
19.0ms
(* x (* (- y z) (/ 1 (- t z))))

simplify461.0ms

Counts
128 → 128
Iterations

Useful iterations: 2 (120.0ms)

IterNodesCost
01581456
13871229
214811025
done50011025

prune108.0ms

Filtered
73 candidates to 128 candidates (-75.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1280128
Fresh044
Picked011
Done011
Total1286134

Merged error: 0b

Counts
134 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
3.3b
(/ x (/ (- t z) (- y z)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
2 → 194
Calls
2 calls:
8.0ms
(/ (- t z) (- y z))
13.0ms
(/ x (/ (- t z) (- y z)))

series40.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(/ (- t z) (- y z))
30.0ms
(/ x (/ (- t z) (- y z)))

simplify589.0ms

Counts
200 → 200
Iterations

Useful iterations: 2 (193.0ms)

IterNodesCost
02703488
16373268
225633166
done50003166

prune140.0ms

Filtered
134 candidates to 200 candidates (-49.3%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1991200
Fresh123
Picked011
Done022
Total2006206

Merged error: 0b

Counts
206 → 6

regimes275.0ms

Accuracy

-4.3% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.0b

bsearch48.0ms

Steps
ItersRangePoint
10
4.212724977492623e-87
7.882749461063115e-71
1.3626492206831902e-72
10
-9.62634199611855e-238
-6.504356142913877e-254
-2.421876880893452e-242

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01635
12127
done2127

end0.0ms

sample728.0ms

Algorithm
intervals
Results
288.0ms8731×body80valid

Profiling

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