Details

Time bar (total: 15.5s)

sample37.0ms

Algorithm
intervals
Results
14.0ms272×body80valid

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2309
3659
41569
52579
64009
76029
87339
98279
108349
done8349

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
6.2b
(/ x (* (- y z) (- t z)))

rewrite99.0ms

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:
68.0ms
(* (- y z) (- t z))
27.0ms
(/ x (* (- y z) (- t z)))

series250.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(* (- y z) (- t z))
194.0ms
(/ x (* (- y z) (- t z)))

simplify1.2s

Counts
69 → 69
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0124860
1299844
21207756
done5000752

prune208.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- t z))
0.0b
(/ 1 (- y z))
2.2b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite121.0ms

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:
18.0ms
(/ x (- t z))
15.0ms
(/ 1 (- y z))
77.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series674.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ x (- t z))
38.0ms
(/ 1 (- y z))
597.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify2.7s

Counts
159 → 159
Iterations

Useful iterations: 2 (325.0ms)

IterNodesCost
01981884
14961646
213521470
339791470
done50001470

prune410.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- t z))
2.2b
(/ (/ x (- t z)) (- y z))

rewrite85.0ms

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:
17.0ms
(/ x (- t z))
42.0ms
(/ (/ x (- t z)) (- y z))

series214.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ x (- t z))
161.0ms
(/ (/ x (- t z)) (- y z))

simplify2.9s

Counts
191 → 191
Iterations

Useful iterations: 2 (324.0ms)

IterNodesCost
02643352
16343172
216443096
349603096
done50003096

prune571.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- y z))
2.6b
(/ (/ x (- y z)) (- t z))

rewrite71.0ms

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:
13.0ms
(/ x (- y z))
35.0ms
(/ (/ x (- y z)) (- t z))

series238.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ x (- y z))
201.0ms
(/ (/ x (- y z)) (- t z))

simplify2.7s

Counts
191 → 191
Iterations

Useful iterations: 2 (276.0ms)

IterNodesCost
02643352
16343172
216443096
349603096
done50003096

prune425.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes217.0ms

Accuracy

34.5% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.3b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01532
11832
done1832

end0.0ms

sample943.0ms

Algorithm
intervals
Results
437.0ms8463×body80valid