Details

sample22.0ms

Algorithm

intervals

Results

7.0ms

282×

body

valid

simplify53.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	5
1	35	5
2	60	5
3	96	5
4	140	5
5	174	5
6	202	5
7	242	5
8	289	5
9	383	5
10	523	5
11	818	5
12	861	5
13	863	5
14	863	5
done	863	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) t)
13.4b	(/ (* (- y z) t) (- a z))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
6×	`add-cube-cbrt`
5×	`times-frac` `associate-l` `associate-/r*`
4×	`pow1` `associate-*l/`
3×	`flip3--` `associate-r` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 51

Calls

2 calls:

24.0ms	(* (- y z) t)
23.0ms	(/ (* (- y z) t) (- a z))

series98.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* (- y z) t)
66.0ms	(/ (* (- y z) t) (- a z))

simplify35.0ms

Counts

57 → 57

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	256	263
1	1188	226
2	5001	226
done	5001	226

prune128.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a z))
0.5b	(cbrt (- a z))
0.5b	(cbrt (- a z))
3.6b	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
36×	`times-frac`
32×	`cbrt-prod`
30×	`associate-r`
25×	`add-exp-log`
24×	`add-cube-cbrt`
20×	`cbrt-div`
18×	`add-cbrt-cube`
17×	`associate-l`
10×	`flip3--` `associate-/r/` `flip--`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
6×	`pow1` `unswap-sqr`
5×	`frac-times`
4×	`add-log-exp`
3×	`pow1/3` `associate-r/` `associate-l/`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 122

Calls

4 calls:

4.0ms	(cbrt (- a z))
4.0ms	(cbrt (- a z))
4.0ms	(cbrt (- a z))
118.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

series525.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(cbrt (- a z))
143.0ms	(cbrt (- a z))
142.0ms	(cbrt (- a z))
100.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

simplify67.0ms

Counts

134 → 134

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	607	1409
1	2587	1256
2	5003	1191
done	5003	1191

prune450.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
1.0b	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt t) (cbrt t)) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-exp-log`
32×	`cbrt-div`
23×	`add-sqr-sqrt`
22×	`add-cbrt-cube`
17×	`associate-l`
16×	`times-frac` `associate-r` `associate-/r/`
15×	`prod-exp` `cbrt-unprod`
13×	`*-un-lft-identity`
12×	`cbrt-undiv` `cbrt-prod` `flip3--` `div-exp` `flip--`
11×	`add-cube-cbrt`
9×	`frac-times`
6×	`pow1` `unswap-sqr`
5×	`associate-r/` `associate-l/`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 102

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
140.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt t) (cbrt t)) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))))

series839.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt t)
174.0ms	(cbrt t)
183.0ms	(cbrt t)
304.0ms	(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt t) (cbrt t)) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))))

simplify74.0ms

Counts

114 → 114

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	669	1712
1	2830	1404
2	5002	1373
done	5002	1373

prune494.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- a z) t)
10.0b	(/ (- y z) (/ (- a z) t))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

200×	`times-frac`
170×	`add-sqr-sqrt` `*-un-lft-identity`
86×	`add-cube-cbrt`
42×	`distribute-lft-out--` `difference-of-squares`
22×	`associate-/r*`
10×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
8×	`div-inv`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
2×	`pow1` `flip3--` `frac-2neg` `div-sub` `clear-num` `flip--` `add-log-exp`
1×	`associate-/r/`

Counts

2 → 175

Calls

2 calls:

15.0ms	(/ (- a z) t)
32.0ms	(/ (- y z) (/ (- a z) t))

series133.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ (- a z) t)
101.0ms	(/ (- y z) (/ (- a z) t))

simplify66.0ms

Counts

181 → 181

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	702	1608
1	2759	1557
2	5002	1556
done	5002	1556

prune404.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes143.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6
done	15	6

end0.0ms

sample603.0ms

Algorithm

intervals

Results

242.0ms	8777×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid