Details

sample41.0ms

Algorithm

intervals

Results

18.0ms

283×

body

valid

simplify643.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	35	11
3	56	11
4	94	11
5	140	11
6	167	11
7	183	11
8	206	11
9	239	11
10	296	11
11	328	11
12	370	11
13	405	11
14	417	11
done	417	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
2.6b	(* y (/ (- z t) (- z a)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 102

Calls

2 calls:

27.0ms	(/ (- z t) (- z a))
44.0ms	(* y (/ (- z t) (- z a)))

series155.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ (- z t) (- z a))
104.0ms	(* y (/ (- z t) (- z a)))

simplify1.4s

Counts

108 → 108

Iterations

Useful iterations: 2 (135.0ms)

Iter	Nodes	Cost
0	138	1319
1	347	1247
2	946	1165
3	2828	1165
done	5000	1165

prune311.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z a))
0.2b	(* (- z t) (/ 1 (- z a)))
2.6b	(* y (* (- z t) (/ 1 (- z a))))

rewrite167.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
32×	`times-frac`
31×	`add-exp-log`
24×	`add-cube-cbrt`
22×	`associate-r`
19×	`add-cbrt-cube`
13×	`prod-exp`
11×	`pow1`
8×	`associate-r/` `associate-l*` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `flip--`
5×	`associate-/r*`
4×	`frac-times` `pow-prod-down` `associate-*l/` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`un-div-inv` `*-commutative` `div-inv`
1×	`pow-flip` `frac-2neg` `clear-num` `inv-pow`

Counts

3 → 119

Calls

3 calls:

21.0ms	(/ 1 (- z a))
58.0ms	(* (- z t) (/ 1 (- z a)))
81.0ms	(* y (* (- z t) (/ 1 (- z a))))

series225.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(/ 1 (- z a))
74.0ms	(* (- z t) (/ 1 (- z a)))
95.0ms	(* y (* (- z t) (/ 1 (- z a))))

simplify3.5s

Counts

128 → 128

Iterations

Useful iterations: 2 (526.0ms)

Iter	Nodes	Cost
0	158	1456
1	369	1185
2	1169	1025
3	4702	1025
done	5002	1025

prune251.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z a) (- z t))
0.4b	(/ 1 (/ (- z a) (- z t)))
2.6b	(* y (/ 1 (/ (- z a) (- z t))))

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
335×	`add-sqr-sqrt`
323×	`*-un-lft-identity`
157×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
35×	`add-exp-log`
19×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`pow-flip` `div-sub` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 327

Calls

3 calls:

24.0ms	(/ (- z a) (- z t))
28.0ms	(/ 1 (/ (- z a) (- z t)))
80.0ms	(* y (/ 1 (/ (- z a) (- z t))))

series322.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(/ (- z a) (- z t))
117.0ms	(/ 1 (/ (- z a) (- z t)))
139.0ms	(* y (/ 1 (/ (- z a) (- z t))))

simplify1.4s

Counts

336 → 336

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	348	5434
1	849	4391
2	1788	4010
done	5000	3934

prune686.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1 (/ (- z a) (- z t)))
4.3b	(cbrt (/ (- z t) (- z a)))
4.3b	(cbrt (/ (- z t) (- z a)))
4.3b	(cbrt (/ 1 (/ (- z a) (- z t))))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

411×	`times-frac`
347×	`add-sqr-sqrt` `*-un-lft-identity`
167×	`add-cube-cbrt`
160×	`cbrt-prod`
90×	`distribute-lft-out--` `difference-of-squares`
31×	`associate-/r*`
20×	`associate-/r/`
15×	`add-exp-log`
11×	`div-inv`
9×	`flip3--` `add-cbrt-cube` `flip--`
7×	`div-exp`
5×	`pow1`
4×	`add-log-exp`
3×	`cbrt-undiv` `cbrt-div` `pow1/3` `associate-/l*`
2×	`rec-exp` `1-exp`
1×	`pow-flip` `frac-2neg` `clear-num` `inv-pow`

Counts

4 → 335

Calls

4 calls:

31.0ms	(/ 1 (/ (- z a) (- z t)))
9.0ms	(cbrt (/ (- z t) (- z a)))
9.0ms	(cbrt (/ (- z t) (- z a)))
16.0ms	(cbrt (/ 1 (/ (- z a) (- z t))))

series679.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(/ 1 (/ (- z a) (- z t)))
220.0ms	(cbrt (/ (- z t) (- z a)))
145.0ms	(cbrt (/ (- z t) (- z a)))
155.0ms	(cbrt (/ 1 (/ (- z a) (- z t))))

simplify2.3s

Counts

347 → 347

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	451	6813
1	794	5863
2	1526	5390
3	3508	5230
done	5000	5221

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes200.0ms

Accuracy

0% (1.4b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	17	13
done	17	13

end0.0ms

sample1.1s

Algorithm

intervals

Results

442.0ms	8691×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid