Details

Time bar (total: 15.2s)

sample23.0ms

Algorithm
intervals
Results
9.0ms268×body80valid

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11911
24011
38011
417411
529711
642011
757711
872211
982111
1083511
done83511

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- y t))
8.2b
(/ x (* (- y z) (- y t)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
6×add-cube-cbrt
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×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
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 63
Calls
2 calls:
40.0ms
(* (- y z) (- y t))
22.0ms
(/ x (* (- y z) (- y t)))

series126.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* (- y z) (- y t))
92.0ms
(/ x (* (- y z) (- y t)))

simplify1.2s

Counts
69 → 69
Iterations

Useful iterations: 2 (202.0ms)

IterNodesCost
0125860
1303838
21214754
done5000754

prune271.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite98.0ms

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*
9×add-exp-log add-cbrt-cube
8×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 185
Calls
2 calls:
19.0ms
(/ x (- y z))
58.0ms
(/ (/ x (- y z)) (- y t))

series107.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ x (- y z))
75.0ms
(/ (/ x (- y z)) (- y t))

simplify2.6s

Counts
191 → 191
Iterations

Useful iterations: 2 (299.0ms)

IterNodesCost
02643352
16383172
216573096
349883096
done50003096

prune686.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
71×*-un-lft-identity
67×times-frac
41×add-cube-cbrt
31×add-exp-log
21×associate-*r* associate-*l*
19×add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
11×div-exp
10×associate-/r*
8×prod-exp associate-/r/
6×pow1 cbrt-undiv associate-/l* unswap-sqr
4×flip3-- flip-- cbrt-unprod div-inv
3×rec-exp 1-exp add-log-exp
2×frac-2neg clear-num
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative inv-pow
Counts
3 → 151
Calls
3 calls:
12.0ms
(/ 1 (- y t))
11.0ms
(/ x (- y z))
72.0ms
(* (/ x (- y z)) (/ 1 (- y t)))

series180.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(/ 1 (- y t))
38.0ms
(/ x (- y z))
91.0ms
(* (/ x (- y z)) (/ 1 (- y t)))

simplify2.6s

Counts
160 → 160
Iterations

Useful iterations: 2 (300.0ms)

IterNodesCost
01981884
15071639
212481451
333451451
done50021451

prune473.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y z))
0.0b
(/ x (- y t))
1.7b
(* (/ 1 (- y z)) (/ x (- y t)))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
71×*-un-lft-identity
67×times-frac
41×add-cube-cbrt
31×add-exp-log
21×associate-*r* associate-*l*
19×add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
11×div-exp
10×associate-/r*
8×prod-exp associate-/r/
6×pow1 cbrt-undiv associate-/l* unswap-sqr
4×flip3-- flip-- cbrt-unprod div-inv
3×rec-exp 1-exp add-log-exp
2×frac-2neg clear-num
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 150
Calls
3 calls:
23.0ms
(/ 1 (- y z))
11.0ms
(/ x (- y t))
84.0ms
(* (/ 1 (- y z)) (/ x (- y t)))

series297.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(/ 1 (- y z))
52.0ms
(/ x (- y t))
199.0ms
(* (/ 1 (- y z)) (/ x (- y t)))

simplify2.8s

Counts
159 → 159
Iterations

Useful iterations: 2 (248.0ms)

IterNodesCost
01981884
15001646
213651470
340151470
done50001470

prune429.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes116.0ms

Accuracy

0% (1.0b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
11513
done1513

end0.0ms

sample1.4s

Algorithm
intervals
Results
941.0ms8417×body80valid