Details

Time bar (total: 5.5s)

sample25.0ms

Algorithm
intervals
Results
8.0ms277×body80valid

simplify105.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1179
2249
3489
4719
5969
61139
71299
81409
91469
101509
done1509

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.9b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
1.8b
(* (/ (- x y) (- z y)) t)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
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-*r* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
12.0ms
(/ (- x y) (- z y))
13.0ms
(* (/ (- x y) (- z y)) t)

series34.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(/ (- x y) (- z y))
24.0ms
(* (/ (- x y) (- z y)) t)

simplify978.0ms

Counts
108 → 108
Iterations

Useful iterations: done (975.0ms)

IterNodesCost
01431303
13641271
210681193
335711185
done50001183

prune126.0ms

Filtered
72 candidates to 108 candidates (-50.0%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1008108
Fresh000
Picked101
Done000
Total1018109

Merged error: 0b

Counts
109 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (- z y))
0.0b
(/ y (- z y))
0.0b
(- (/ x (- z y)) (/ y (- z y)))
1.8b
(* (- (/ x (- z y)) (/ y (- z y))) t)

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
98×*-un-lft-identity
80×add-sqr-sqrt
66×times-frac
32×distribute-lft-out--
30×add-cube-cbrt
20×difference-of-squares
18×associate-*l*
12×associate-/r/
10×add-exp-log associate-/r* add-cbrt-cube
8×flip3-- flip--
6×pow1 distribute-rgt-out-- div-inv associate-/l* add-log-exp
4×associate-*l/
3×associate-*r*
2×cbrt-undiv frac-2neg div-exp clear-num frac-sub sub-div
1×sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 140
Calls
4 calls:
6.0ms
(/ x (- z y))
6.0ms
(/ y (- z y))
27.0ms
(- (/ x (- z y)) (/ y (- z y)))
36.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

series70.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(/ x (- z y))
6.0ms
(/ y (- z y))
15.0ms
(- (/ x (- z y)) (/ y (- z y)))
41.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

simplify734.0ms

Counts
152 → 152
Iterations

Useful iterations: done (730.0ms)

IterNodesCost
01871884
13911823
210171723
328291718
done50011716

prune156.0ms

Filtered
112 candidates to 152 candidates (-35.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1520152
Fresh077
Picked011
Done000
Total1528160

Merged error: 0b

Counts
160 → 8

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z y))
0.2b
(* (- x y) (/ 1 (- z y)))
1.8b
(* (* (- x y) (/ 1 (- z y))) t)

rewrite39.0ms

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

series39.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ 1 (- z y))
10.0ms
(* (- x y) (/ 1 (- z y)))
24.0ms
(* (* (- x y) (/ 1 (- z y))) t)

simplify857.0ms

Counts
128 → 128
Iterations

Useful iterations: done (850.0ms)

IterNodesCost
01611461
14011258
217371053
done50001026

prune111.0ms

Filtered
71 candidates to 128 candidates (-80.3%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1280128
Fresh066
Picked011
Done011
Total1288136

Merged error: 0b

Counts
136 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z y) (- x y))
0.5b
(/ 1 (/ (- z y) (- x y)))
1.8b
(* (/ 1 (/ (- z y) (- x y))) t)

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
392×times-frac
335×add-sqr-sqrt
323×*-un-lft-identity
157×add-cube-cbrt
98×associate-*l*
82×distribute-lft-out-- difference-of-squares
36×associate-/r*
35×add-exp-log
19×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
9×flip3-- flip--
8×associate-/l*
7×cbrt-undiv prod-exp
6×pow1
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*r* cbrt-unprod add-log-exp
2×frac-2neg clear-num associate-/l/
1×pow-flip div-sub pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 326
Calls
3 calls:
9.0ms
(/ (- z y) (- x y))
16.0ms
(/ 1 (/ (- z y) (- x y)))
26.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

series63.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(/ (- z y) (- x y))
23.0ms
(/ 1 (/ (- z y) (- x y)))
30.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

simplify667.0ms

Counts
335 → 335
Iterations

Useful iterations: done (652.0ms)

IterNodesCost
03505302
18914727
228464307
done50004094

prune210.0ms

Filtered
179 candidates to 335 candidates (-87.2%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New3350335
Fresh055
Picked011
Done022
Total3358343

Merged error: 0b

Counts
343 → 8

regimes353.0ms

Accuracy

23.1% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01632
11832
done1832

end0.0ms

sample706.0ms

Algorithm
intervals
Results
274.0ms8713×body80valid

Profiling

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