Details

Time bar (total: 4.7s)

sample30.0ms

Algorithm
intervals
Results
9.0ms277×body80valid

simplify102.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1179
2249
3489
4719
5969
61139
71299
81409
91469
101519
done1519

prune4.0ms

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)

rewrite27.0ms

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:
8.0ms
(/ (- 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)

simplify801.0ms

Counts
108 → 108
Iterations

Useful iterations: done (798.0ms)

IterNodesCost
01431303
13641269
210311185
335881185
done50011183

prune121.0ms

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)

rewrite82.0ms

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))
31.0ms
(- (/ x (- z y)) (/ y (- z y)))
33.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

series67.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(/ x (- z y))
6.0ms
(/ y (- z y))
19.0ms
(- (/ x (- z y)) (/ y (- z y)))
35.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

simplify676.0ms

Counts
152 → 152
Iterations

Useful iterations: done (672.0ms)

IterNodesCost
01871884
13911818
210551718
332141718
done50001716

prune155.0ms

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

localize8.0ms

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)

rewrite40.0ms

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)

series42.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ 1 (- z y))
10.0ms
(* (- x y) (/ 1 (- z y)))
27.0ms
(* (* (- x y) (/ 1 (- z y))) t)

simplify460.0ms

Counts
128 → 128
Iterations

Useful iterations: 2 (124.0ms)

IterNodesCost
01611461
14011232
215851026
done50011026

prune110.0ms

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

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1271128
Fresh246
Picked011
Done011
Total1297136

Merged error: 0b

Counts
136 → 7

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)

rewrite75.0ms

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))
13.0ms
(/ 1 (/ (- z y) (- x y)))
26.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

series59.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(/ (- z y) (- x y))
18.0ms
(/ 1 (/ (- z y) (- x y)))
30.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

simplify561.0ms

Counts
335 → 335
Iterations

Useful iterations: 2 (259.0ms)

IterNodesCost
03505302
18914686
228494087
done50004087

prune206.0ms

Filtered
178 candidates to 335 candidates (-88.2%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New3350335
Fresh044
Picked011
Done022
Total3357342

Merged error: 0b

Counts
342 → 7

regimes267.0ms

Accuracy

0% (2.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
11013
done1013

end0.0ms

sample731.0ms

Algorithm
intervals
Results
285.0ms8713×body80valid

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