Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

284×

body

valid

simplify691.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	18	11
2	33	11
3	57	11
4	91	11
5	126	11
6	153	11
7	178	11
8	224	11
9	295	11
10	383	11
11	463	11
12	605	11
13	630	11
14	631	11
done	631	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.4b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
11.6b	(/ (* y (- z t)) (- z a))

rewrite22.0ms

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-r` `associate-/r*`
4×	`pow1` `associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `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 → 55

Calls

2 calls:

10.0ms	(* y (- z t))
10.0ms	(/ (* y (- z t)) (- z a))

series98.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* y (- z t))
64.0ms	(/ (* y (- z t)) (- z a))

simplify974.0ms

Counts

61 → 61

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	105	599
1	267	575
2	1039	501
done	5000	501

prune137.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z a) (- z t))
1.6b	(/ y (/ (- z a) (- z t)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
194×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
1×	`div-sub`

Counts

2 → 194

Calls

2 calls:

11.0ms	(/ (- z a) (- z t))
14.0ms	(/ y (/ (- z a) (- z t)))

series155.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/ (- z a) (- z t))
114.0ms	(/ y (/ (- z a) (- z t)))

simplify881.0ms

Counts

200 → 200

Iterations

Useful iterations: 2 (235.0ms)

Iter	Nodes	Cost
0	268	3480
1	631	3260
2	2400	3158
done	5001	3158

prune449.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (/ (- z a) (- z t))) (cbrt (/ (- z a) (- z t))))
3.5b	(cbrt (/ (- z a) (- z t)))
3.5b	(cbrt (/ (- z a) (- z t)))
3.5b	(cbrt (/ (- z a) (- z t)))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

333×	`*-un-lft-identity`
277×	`cbrt-prod`
273×	`add-sqr-sqrt`
229×	`times-frac`
106×	`distribute-lft-out--`
93×	`add-cube-cbrt`
78×	`difference-of-squares`
58×	`swap-sqr`
34×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3--` `flip--` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 276

Calls

4 calls:

67.0ms	(* (cbrt (/ (- z a) (- z t))) (cbrt (/ (- z a) (- z t))))
6.0ms	(cbrt (/ (- z a) (- z t)))
5.0ms	(cbrt (/ (- z a) (- z t)))
6.0ms	(cbrt (/ (- z a) (- z t)))

series563.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(* (cbrt (/ (- z a) (- z t))) (cbrt (/ (- z a) (- z t))))
164.0ms	(cbrt (/ (- z a) (- z t)))
124.0ms	(cbrt (/ (- z a) (- z t)))
124.0ms	(cbrt (/ (- z a) (- z t)))

simplify1.8s

Counts

288 → 288

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	228	6188
1	381	5793
2	1056	5677
3	3083	5405
done	5001	5405

prune820.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- z a))
0.0b	(/ 1 (- z t))
10.1b	(/ (/ y (- z a)) (/ 1 (- z t)))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

1131×	`times-frac`
699×	`add-sqr-sqrt` `*-un-lft-identity`
419×	`add-cube-cbrt`
140×	`distribute-lft-out--` `difference-of-squares`
93×	`associate-/r/`
47×	`div-inv`
46×	`flip3--` `flip--`
31×	`add-exp-log` `associate-/r*`
27×	`associate-/l*`
19×	`div-exp` `add-cbrt-cube`
10×	`cbrt-undiv`
4×	`pow1`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `add-log-exp`
1×	`pow-flip` `associate-/l/` `inv-pow`

Counts

3 → 585

Calls

3 calls:

5.0ms	(/ y (- z a))
6.0ms	(/ 1 (- z t))
29.0ms	(/ (/ y (- z a)) (/ 1 (- z t)))

series179.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(/ y (- z a))
34.0ms	(/ 1 (- z t))
113.0ms	(/ (/ y (- z a)) (/ 1 (- z t)))

simplify1.1s

Counts

594 → 594

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	764	14665
1	2251	12078
done	5000	11810

prune853.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes154.0ms

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample526.0ms

Algorithm

intervals

Results

268.0ms	8709×	body	80	valid
0.0ms	2×	body	2560	valid
0.0ms	1×	body	160	valid