Details

sample19.0ms

Algorithm

intervals

Results

7.0ms

271×

body

valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	19	11
2	40	11
3	80	11
4	174	11
5	297	11
6	420	11
7	577	11
8	722	11
9	821	11
10	835	11
done	835	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) (- y t))
7.4b	(/ x (* (- y z) (- y t)))

rewrite55.0ms

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:

37.0ms	(* (- y z) (- y t))
16.0ms	(/ x (* (- y z) (- y t)))

series93.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* (- y z) (- y t))
65.0ms	(/ x (* (- y z) (- y t)))

simplify772.0ms

Counts

69 → 69

Iterations

Useful iterations: 2 (140.0ms)

Iter	Nodes	Cost
0	125	860
1	303	838
2	1214	754
done	5000	754

prune160.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y t))
0.6b	(cbrt (- y t))
0.6b	(cbrt (- y t))
7.4b	(/ x (* (* (- y z) (* (cbrt (- y t)) (cbrt (- y t)))) (cbrt (- y t))))

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

168×	`cbrt-div`
136×	`frac-times`
111×	`flip3--` `flip--`
80×	`associate-/r/`
50×	`associate-*l/`
44×	`associate-*r/`
18×	`add-exp-log`
15×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity`
13×	`add-cbrt-cube`
9×	`add-cube-cbrt`
6×	`prod-exp` `cbrt-unprod`
4×	`pow1` `cbrt-undiv` `div-exp` `add-log-exp`
3×	`times-frac` `pow1/3` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv`

Counts

4 → 150

Calls

4 calls:

4.0ms	(cbrt (- y t))
4.0ms	(cbrt (- y t))
4.0ms	(cbrt (- y t))
184.0ms	(/ x (* (* (- y z) (* (cbrt (- y t)) (cbrt (- y t)))) (cbrt (- y t))))

series519.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(cbrt (- y t))
151.0ms	(cbrt (- y t))
149.0ms	(cbrt (- y t))
68.0ms	(/ x (* (* (- y z) (* (cbrt (- y t)) (cbrt (- y t)))) (cbrt (- y t))))

simplify898.0ms

Counts

162 → 162

Iterations

Useful iterations: done (892.0ms)

Iter	Nodes	Cost
0	333	3730
1	853	3708
2	2367	3372
done	5000	3149

prune545.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

7.4b	(/ x (* (- y z) (- y t)))
22.5b	(cbrt (/ x (* (- y z) (- y t))))
22.5b	(cbrt (/ x (* (- y z) (- y t))))
22.5b	(cbrt (/ x (* (- y z) (- y t))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

45×	`cbrt-prod`
32×	`associate-/r/`
24×	`flip3--` `flip--`
16×	`frac-times`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-r/` `associate-l/`
4×	`pow1` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

17.0ms	(/ x (* (- y z) (- y t)))
13.0ms	(cbrt (/ x (* (- y z) (- y t))))
15.0ms	(cbrt (/ x (* (- y z) (- y t))))
14.0ms	(cbrt (/ x (* (- y z) (- y t))))

series595.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(/ x (* (- y z) (- y t)))
174.0ms	(cbrt (/ x (* (- y z) (- y t))))
177.0ms	(cbrt (/ x (* (- y z) (- y t))))
177.0ms	(cbrt (/ x (* (- y z) (- y t))))

simplify1.8s

Counts

113 → 113

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	150	1927
1	321	1879
2	1036	1762
3	4872	1741
done	5001	1735

prune433.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- y z))
1.3b	(/ (/ x (- y z)) (- y t))

rewrite50.0ms

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:

11.0ms	(/ x (- y z))
28.0ms	(/ (/ x (- y z)) (- y t))

series98.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ x (- y z))
67.0ms	(/ (/ x (- y z)) (- y t))

simplify2.2s

Counts

191 → 191

Iterations

Useful iterations: 2 (435.0ms)

Iter	Nodes	Cost
0	264	3352
1	638	3172
2	1657	3096
3	4988	3096
done	5000	3096

prune423.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes149.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	11	11
done	11	11

end0.0ms

sample520.0ms

Algorithm

intervals

Results

222.0ms

8455×

body

valid