Details

Time bar (total: 15.6s)

sample39.0ms

Algorithm
intervals
Results
15.0ms275×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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
8.2b
(/ 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:
58.0ms
(* (- y z) (- t z))
19.0ms
(/ x (* (- y z) (- t z)))

series187.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(* (- y z) (- t z))
138.0ms
(/ x (* (- y z) (- t z)))

simplify1.1s

Counts
69 → 69
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0124860
1299844
21207756
done5000752

prune263.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y z))
0.0b
(/ x (- t z))
1.0b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite91.0ms

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:
12.0ms
(/ 1 (- y z))
12.0ms
(/ x (- t z))
61.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series360.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ 1 (- y z))
43.0ms
(/ x (- t z))
273.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify2.7s

Counts
159 → 159
Iterations

Useful iterations: 2 (276.0ms)

IterNodesCost
01981884
14961646
213511470
339871470
done50001470

prune376.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- t z) x)
0.0b
(/ 1 (- y z))
0.7b
(/ 1 (/ (- t z) x))
1.0b
(* (/ 1 (- y z)) (/ 1 (/ (- t z) x)))

rewrite224.0ms

Algorithm
rewrite-expression-head
Rules
292×times-frac
247×add-sqr-sqrt
211×*-un-lft-identity
136×add-cube-cbrt
104×add-exp-log
62×associate-*r*
52×div-exp
34×add-cbrt-cube
32×distribute-lft-out-- difference-of-squares
28×prod-exp
27×associate-/r*
21×associate-*l*
18×rec-exp 1-exp
15×unswap-sqr
14×cbrt-undiv
12×div-inv
11×associate-/l*
10×pow1
6×associate-/r/ cbrt-unprod
4×pow-flip inv-pow add-log-exp
3×flip3-- frac-2neg pow-prod-down clear-num flip--
2×associate-/l/
1×frac-times div-sub associate-*r/ associate-*l/ un-div-inv *-commutative
Counts
4 → 326
Calls
4 calls:
28.0ms
(/ (- t z) x)
21.0ms
(/ 1 (- y z))
17.0ms
(/ 1 (/ (- t z) x))
121.0ms
(* (/ 1 (- y z)) (/ 1 (/ (- t z) x)))

series914.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ (- t z) x)
47.0ms
(/ 1 (- y z))
121.0ms
(/ 1 (/ (- t z) x))
714.0ms
(* (/ 1 (- y z)) (/ 1 (/ (- t z) x)))

simplify2.0s

Counts
338 → 338
Iterations

Useful iterations: done (2.0s)

IterNodesCost
03705023
19924083
221283464
done50003434

prune759.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite65.0ms

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:
15.0ms
(/ x (- y z))
33.0ms
(/ (/ x (- y z)) (- t z))

series211.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ x (- y z))
161.0ms
(/ (/ x (- y z)) (- t z))

simplify2.8s

Counts
191 → 191
Iterations

Useful iterations: 2 (353.0ms)

IterNodesCost
02643352
16343172
216443096
349603096
done50003096

prune464.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes149.0ms

Accuracy

0% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11311
done1311

end0.0ms

sample1.2s

Algorithm
intervals
Results
405.0ms8435×body80valid