Details

sample38.0ms

Algorithm

intervals

Results

23.0ms	270×	body	80	valid
0.0ms	1×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
11	2304
10	835
9	508
8	366
7	295
6	258
5	156
4	95
3	55
2	34
1	20
0	10

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

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-cbrt-cube` `add-exp-log`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `div-inv` `add-log-exp` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-sub` `pow-prod-down` `associate-r/` `-commutative`

Counts

2 → 104

Calls

2 calls:

21.0ms	(/ (- z t) (- a t))
33.0ms	(* y (/ (- z t) (- a t)))

series148.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(/ (- z t) (- a t))
79.0ms	(* y (/ (- z t) (- a t)))

simplify972.0ms

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	1518
1	376
0	140

prune489.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* (- z t) (/ 1 (- a t)))
1.0b	(* y (* (- z t) (/ 1 (- a t))))

rewrite85.0ms

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-l` `associate-*r/` `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` `insert-posit16` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`un-div-inv` `*-commutative` `div-inv`
1×	`clear-num` `frac-2neg` `pow-flip` `inv-pow`

Counts

3 → 122

Calls

3 calls:

8.0ms	(/ 1 (- a t))
29.0ms	(* (- z t) (/ 1 (- a t)))
47.0ms	(* y (* (- z t) (/ 1 (- a t))))

series214.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(/ 1 (- a t))
72.0ms	(* (- z t) (/ 1 (- a t)))
93.0ms	(* y (* (- z t) (/ 1 (- a t))))

simplify2.9s

Counts

131 → 131

Iterations

Iter	Nodes
done	5001
2	2900
1	411
0	161

prune485.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
1.0b	(* y (* (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t)))))

rewrite566.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-exp-log`
35×	`prod-exp`
26×	`add-cbrt-cube`
15×	`cbrt-prod` `div-exp` `cbrt-unprod`
14×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`pow1`
8×	`add-cube-cbrt`
7×	`cbrt-undiv`
6×	`cbrt-div`
4×	`rec-exp` `1-exp` `associate-*r/` `insert-posit16` `add-log-exp`
3×	`flip3--` `pow1/3` `associate-l` `pow-prod-down` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`frac-times` `associate-r` `associate-l/` `-commutative`

Counts

4 → 88

Calls

4 calls:

4.0ms	(cbrt (- a t))
4.0ms	(cbrt (- a t))
4.0ms	(cbrt (- a t))
551.0ms	(* y (* (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t)))))

series677.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt (- a t))
162.0ms	(cbrt (- a t))
147.0ms	(cbrt (- a t))
186.0ms	(* y (* (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (cbrt (- a t)))))

simplify1.6s

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	2381
1	496
0	175

prune444.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-div`
22×	`associate-*r/` `add-exp-log`
16×	`frac-times` `add-cbrt-cube`
15×	`cbrt-prod` `flip3--` `flip--`
14×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`pow1`
12×	`associate-*l/`
11×	`prod-exp` `cbrt-unprod`
8×	`add-cube-cbrt`
6×	`pow-prod-down`
4×	`insert-posit16` `add-log-exp`
3×	`pow1/3` `associate-l` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp`
1×	`associate-r` `*-commutative`

Counts

4 → 91

Calls

4 calls:

3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
134.0ms	(* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t))))

series697.0ms

Counts

4 → 12

Calls

4 calls:

234.0ms	(cbrt (- z t))
189.0ms	(cbrt (- z t))
195.0ms	(cbrt (- z t))
78.0ms	(* y (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (- a t))))

simplify1.5s

Counts

103 → 103

Iterations

Iter	Nodes
done	5000
2	1452
1	436
0	169

prune573.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes454.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	12

end0.0ms

sample1.2s

Algorithm

intervals

Results

821.0ms	8678×	body	80	valid
0.0ms	1×	body	160	valid