Details

sample21.0ms

Algorithm

intervals

Results

8.0ms	267×	body	80	valid
0.0ms	1×	body	1280	valid

simplify879.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	13
1	25	13
2	58	13
3	105	13
4	184	13
5	283	13
6	455	13
7	695	13
8	1000	13
9	1208	13
10	1260	13
done	1260	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) a)
9.4b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 175

Calls

2 calls:

34.0ms	(/ (+ (- t z) 1.0) a)
27.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series157.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ (+ (- t z) 1.0) a)
123.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify801.0ms

Counts

181 → 181

Iterations

Useful iterations: 2 (222.0ms)

Iter	Nodes	Cost
0	226	3548
1	626	3316
2	1977	3192
done	5000	3192

prune392.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (+ (- t z) 1.0))
0.8b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 102

Calls

2 calls:

23.0ms	(/ (- y z) (+ (- t z) 1.0))
52.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series176.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ (- y z) (+ (- t z) 1.0))
125.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify1.5s

Counts

108 → 108

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	144	1551
1	378	1501
2	1036	1391
3	4056	1387
done	5000	1385

prune238.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt a)
0.5b	(cbrt a)
0.5b	(cbrt a)
2.7b	(/ (- y z) (/ (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0))) (* (cbrt a) (cbrt a))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

0.0ms	(cbrt a)
0.0ms	(cbrt a)
1.0ms	(cbrt a)
30.0ms	(/ (- y z) (/ (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0))) (* (cbrt a) (cbrt a))))

series731.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt a)
176.0ms	(cbrt a)
169.0ms	(cbrt a)
202.0ms	(/ (- y z) (/ (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0))) (* (cbrt a) (cbrt a))))

simplify594.0ms

Counts

104 → 104

Iterations

Useful iterations: done (591.0ms)

Iter	Nodes	Cost
0	191	2448
1	540	2348
2	1982	1864
done	5000	1863

prune388.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

9.4b	(/ (- y z) (* (* (cbrt (/ (+ (- t z) 1.0) a)) (cbrt (/ (+ (- t z) 1.0) a))) (cbrt (/ (+ (- t z) 1.0) a))))
12.7b	(cbrt (/ (+ (- t z) 1.0) a))
12.7b	(cbrt (/ (+ (- t z) 1.0) a))
12.7b	(cbrt (/ (+ (- t z) 1.0) a))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

82×	`*-un-lft-identity`
57×	`cbrt-prod`
50×	`times-frac`
37×	`add-sqr-sqrt`
33×	`add-cube-cbrt`
18×	`distribute-lft-out`
15×	`cbrt-div`
13×	`add-exp-log`
11×	`distribute-lft-out--`
9×	`add-cbrt-cube`
7×	`associate-/r/`
5×	`frac-times` `associate-l/` `associate-/l`
4×	`pow1` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod`
2×	`associate-/l/` `difference-of-squares`
1×	`flip3--` `frac-2neg` `div-sub` `clear-num` `associate-/r*` `flip--`

Counts

4 → 121

Calls

4 calls:

105.0ms	(/ (- y z) (* (* (cbrt (/ (+ (- t z) 1.0) a)) (cbrt (/ (+ (- t z) 1.0) a))) (cbrt (/ (+ (- t z) 1.0) a))))
9.0ms	(cbrt (/ (+ (- t z) 1.0) a))
9.0ms	(cbrt (/ (+ (- t z) 1.0) a))
10.0ms	(cbrt (/ (+ (- t z) 1.0) a))

series611.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(/ (- y z) (* (* (cbrt (/ (+ (- t z) 1.0) a)) (cbrt (/ (+ (- t z) 1.0) a))) (cbrt (/ (+ (- t z) 1.0) a))))
150.0ms	(cbrt (/ (+ (- t z) 1.0) a))
154.0ms	(cbrt (/ (+ (- t z) 1.0) a))
147.0ms	(cbrt (/ (+ (- t z) 1.0) a))

simplify1.8s

Counts

133 → 133

Iterations

Useful iterations: 3 (829.0ms)

Iter	Nodes	Cost
0	196	3127
1	444	3037
2	1292	2399
3	4837	2144
done	5000	2144

prune394.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes191.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	14	15
1	19	13
done	19	13

end0.0ms

sample517.0ms

Algorithm

intervals

Results

276.0ms	8502×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid