Details

Time bar (total: 16.2s)

sample25.0ms

Algorithm
intervals
Results
10.0ms268×body80valid

simplify4.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11911
24011
38411
419811
538511
660911
791311
8112811
9149711
10155211
11155811
done155811

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×*-un-lft-identity
18×add-cube-cbrt prod-diff
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp cbrt-unprod log1p-expm1-u 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 → 85
Calls
2 calls:
50.0ms
(* (- y z) (- y t))
26.0ms
(/ x (* (- y z) (- y t)))

series117.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* (- y z) (- y t))
80.0ms
(/ x (* (- y z) (- y t)))

simplify1.0s

Counts
91 → 91
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01771460
13901272
213911098
done50001074

prune227.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite80.0ms

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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 189
Calls
2 calls:
14.0ms
(/ x (- y z))
54.0ms
(/ (/ x (- y z)) (- y t))

series121.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ x (- y z))
76.0ms
(/ (/ x (- y z)) (- y t))

simplify1.1s

Counts
195 → 195
Iterations

Useful iterations: 2 (267.0ms)

IterNodesCost
02683384
16463198
216733122
done50003122

prune568.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize23.0ms

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)))

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×expm1-log1p-u rec-exp 1-exp log1p-expm1-u 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 → 157
Calls
3 calls:
12.0ms
(/ 1 (- y t))
13.0ms
(/ x (- y z))
57.0ms
(* (/ x (- y z)) (/ 1 (- y t)))

series192.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ 1 (- y t))
33.0ms
(/ x (- y z))
115.0ms
(* (/ x (- y z)) (/ 1 (- y t)))

simplify2.6s

Counts
166 → 166
Iterations

Useful iterations: 2 (325.0ms)

IterNodesCost
02041932
15171682
212691494
334351494
done50021494

prune512.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize23.0ms

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)))

rewrite117.0ms

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×expm1-log1p-u rec-exp 1-exp log1p-expm1-u 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 → 156
Calls
3 calls:
16.0ms
(/ 1 (- y z))
15.0ms
(/ x (- y t))
79.0ms
(* (/ 1 (- y z)) (/ x (- y t)))

series262.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(/ 1 (- y z))
49.0ms
(/ x (- y t))
155.0ms
(* (/ 1 (- y z)) (/ x (- y t)))

simplify2.9s

Counts
165 → 165
Iterations

Useful iterations: 2 (295.0ms)

IterNodesCost
02041932
15101689
213781513
340941513
done50021513

prune442.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes138.0ms

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
11513
done1513

end0.0ms

sample1.1s

Algorithm
intervals
Results
541.0ms8417×body80valid