Details

sample21.0ms

Algorithm

intervals

Results

9.0ms	267×	body	80	valid
0.0ms	1×	body	1280	valid

simplify1.4s

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	191	13
5	342	13
6	568	13
7	829	13
8	1250	13
9	1669	13
10	1763	13
done	1763	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:

35.0ms	(/ (+ (- t z) 1.0) a)
27.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series155.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (+ (- t z) 1.0) a)
125.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify631.0ms

Counts

181 → 181

Iterations

Useful iterations: 2 (165.0ms)

Iter	Nodes	Cost
0	226	3548
1	626	3316
2	2230	3192
done	5001	3192

prune359.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

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))
53.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series175.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ (- y z) (+ (- t z) 1.0))
123.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify1.9s

Counts

108 → 108

Iterations

Useful iterations: 3 (457.0ms)

Iter	Nodes	Cost
0	144	1551
1	381	1501
2	1191	1391
3	4793	1387
done	5000	1387

prune224.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize21.0ms

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))))

rewrite35.0ms

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))))

series747.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt a)
170.0ms	(cbrt a)
199.0ms	(cbrt a)
201.0ms	(/ (- y z) (/ (* (cbrt (+ (- t z) 1.0)) (cbrt (+ (- t z) 1.0))) (* (cbrt a) (cbrt a))))

simplify575.0ms

Counts

104 → 104

Iterations

Useful iterations: done (572.0ms)

Iter	Nodes	Cost
0	191	2448
1	542	2348
2	2098	1864
done	5000	1863

prune385.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize13.0ms

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))

rewrite139.0ms

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:

104.0ms	(/ (- 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))
12.0ms	(cbrt (/ (+ (- t z) 1.0) a))

series609.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(/ (- y z) (* (* (cbrt (/ (+ (- t z) 1.0) a)) (cbrt (/ (+ (- t z) 1.0) a))) (cbrt (/ (+ (- t z) 1.0) a))))
156.0ms	(cbrt (/ (+ (- t z) 1.0) a))
153.0ms	(cbrt (/ (+ (- t z) 1.0) a))
146.0ms	(cbrt (/ (+ (- t z) 1.0) a))

simplify410.0ms

Counts

133 → 133

Iterations

Useful iterations: done (406.0ms)

Iter	Nodes	Cost
0	196	3127
1	444	3037
2	1340	2399
done	5000	2258

prune403.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes184.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	14	13
done	14	13

end0.0ms

sample543.0ms

Algorithm

intervals

Results

288.0ms	8502×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid