Details

sample36.0ms

Algorithm

intervals

Results

14.0ms

277×

body

valid

simplify908.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	18	11
2	33	11
3	58	11
4	101	11
5	132	11
6	159	11
7	181	11
8	224	11
9	281	11
10	313	11
11	355	11
12	390	11
13	402	11
done	402	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
12.4b	(/ (* y (- z t)) (- z a))

rewrite73.0ms

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:

24.0ms	(* y (- z t))
46.0ms	(/ (* y (- z t)) (- z a))

series168.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(* y (- z t))
120.0ms	(/ (* y (- z t)) (- z a))

simplify2.4s

Counts

61 → 61

Iterations

Useful iterations: 2 (141.0ms)

Iter	Nodes	Cost
0	105	599
1	267	575
2	869	501
3	3979	501
done	5000	501

prune247.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z a) (- z t))
1.5b	(/ y (/ (- z a) (- z t)))

rewrite96.0ms

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:

28.0ms	(/ (- z a) (- z t))
51.0ms	(/ y (/ (- z a) (- z t)))

series274.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(/ (- z a) (- z t))
207.0ms	(/ y (/ (- z a) (- z t)))

simplify1.4s

Counts

200 → 200

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	268	3480
1	613	3260
2	2222	3158
done	5000	3152

prune780.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
7.6b	(* (/ y (- z a)) (- z t))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
31×	`times-frac`
22×	`add-cube-cbrt`
21×	`associate-l`
9×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-r` `associate-/r*`
4×	`pow1` `flip3--` `associate-/r/` `flip--`
3×	`associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

2 → 87

Calls

2 calls:

29.0ms	(/ y (- z a))
92.0ms	(* (/ y (- z a)) (- z t))

series210.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ y (- z a))
167.0ms	(* (/ y (- z a)) (- z t))

simplify2.3s

Counts

93 → 93

Iterations

Useful iterations: 2 (246.0ms)

Iter	Nodes	Cost
0	140	1017
1	341	989
2	1087	913
3	3531	913
done	5000	913

prune257.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- z a))
0.0b	(/ 1 (- z t))
7.7b	(/ (/ y (- z a)) (/ 1 (- z t)))

rewrite167.0ms

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:

20.0ms	(/ y (- z a))
22.0ms	(/ 1 (- z t))
63.0ms	(/ (/ y (- z a)) (/ 1 (- z t)))

series271.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(/ y (- z a))
61.0ms	(/ 1 (- z t))
164.0ms	(/ (/ y (- z a)) (/ 1 (- z t)))

simplify1.2s

Counts

594 → 594

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	764	14665
1	2146	12078
done	5000	11278

prune1.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes115.0ms

Accuracy

0% (1.1b 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

sample956.0ms

Algorithm

intervals

Results

461.0ms	8761×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid