Details

Time bar (total: 14.5s)

sample22.0ms

Algorithm
intervals
Results
9.0ms272×body80valid

simplify1.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.2b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite80.0ms

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:
49.0ms
(* (- y z) (- t z))
28.0ms
(/ x (* (- y z) (- t z)))

series223.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(* (- y z) (- t z))
172.0ms
(/ x (* (- y z) (- t z)))

simplify1.0s

Counts
69 → 69
Iterations

Useful iterations: done (1.0s)

IterNodesCost
0124860
1299844
21207756
done5000752

prune176.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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)))

rewrite96.0ms

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:
11.0ms
(/ x (- t z))
14.0ms
(/ 1 (- y z))
64.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series325.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(/ x (- t z))
41.0ms
(/ 1 (- y z))
233.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify2.6s

Counts
159 → 159
Iterations

Useful iterations: 2 (263.0ms)

IterNodesCost
01981884
14961646
213521470
339791470
done50001470

prune405.0ms

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))

rewrite83.0ms

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))
43.0ms
(/ (/ x (- t z)) (- y z))

series210.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ x (- t z))
177.0ms
(/ (/ x (- t z)) (- y z))

simplify2.5s

Counts
191 → 191
Iterations

Useful iterations: 2 (292.0ms)

IterNodesCost
02643352
16343172
216443096
349603096
done50003096

prune515.0ms

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))

rewrite69.0ms

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:
16.0ms
(/ x (- y z))
38.0ms
(/ (/ x (- y z)) (- t z))

series198.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ x (- y z))
153.0ms
(/ (/ x (- y z)) (- t z))

simplify2.8s

Counts
191 → 191
Iterations

Useful iterations: 2 (381.0ms)

IterNodesCost
02643352
16343172
216443096
349603096
done50003096

prune507.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes231.0ms

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

sample828.0ms

Algorithm
intervals
Results
324.0ms8463×body80valid