Details

sample26.0ms

Algorithm

intervals

Results

11.0ms

280×

body

valid

simplify237.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	239
8	239
7	236
6	216
5	179
4	132
3	82
2	44
1	19
0	10

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 2.0 (- y t))
3.7b	(* (/ 2.0 (- y t)) (/ x z))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
43×	`times-frac`
42×	`*-un-lft-identity`
28×	`add-cube-cbrt`
21×	`associate-l`
16×	`add-cbrt-cube` `add-exp-log`
13×	`associate-r`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`cbrt-undiv` `associate-/r*` `div-exp`
4×	`pow1` `prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
3×	`div-inv` `associate-/l*`
2×	`flip3--` `flip--` `add-log-exp`
1×	`frac-times` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

2 → 95

Calls

2 calls:

9.0ms	(/ 2.0 (- y t))
41.0ms	(* (/ 2.0 (- y t)) (/ x z))

series259.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(/ 2.0 (- y t))
200.0ms	(* (/ 2.0 (- y t)) (/ x z))

simplify1.3s

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
2	2315
1	455
0	159

prune530.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ x z) 2.0)
3.6b	(/ (* (/ x z) 2.0) (- y t))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
15×	`times-frac`
13×	`associate-l`
12×	`add-cube-cbrt`
5×	`cbrt-undiv` `associate-/r*` `div-exp`
4×	`pow1` `prod-exp` `cbrt-unprod`
3×	`associate-r`
2×	`associate-*l/` `associate-/r/` `div-inv` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`
1×	`clear-num` `frac-2neg` `flip3--` `pow-prod-down` `-commutative` `flip--` `associate-/l` `associate-/l/`

Counts

2 → 62

Calls

2 calls:

22.0ms	(* (/ x z) 2.0)
31.0ms	(/ (* (/ x z) 2.0) (- y t))

series97.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* (/ x z) 2.0)
63.0ms	(/ (* (/ x z) 2.0) (- y t))

simplify1.1s

Counts

68 → 68

Iterations

Iter	Nodes
done	5000
2	2052
1	308
0	122

prune394.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.4b	(/ (sqrt 2.0) (/ (- y t) (sqrt 2.0)))
0.5b	(/ (- y t) (sqrt 2.0))
3.7b	(* (/ (sqrt 2.0) (/ (- y t) (sqrt 2.0))) (/ x z))

rewrite685.0ms

Algorithm

rewrite-expression-head

Rules

864×	`times-frac`
614×	`add-sqr-sqrt`
559×	`*-un-lft-identity`
430×	`sqrt-prod`
389×	`add-cube-cbrt`
209×	`associate-l`
85×	`distribute-lft-out--` `difference-of-squares`
40×	`associate-/r*`
31×	`add-cbrt-cube` `add-exp-log`
17×	`div-inv`
14×	`unswap-sqr`
13×	`cbrt-undiv` `div-exp` `associate-r`
11×	`associate-/l*`
6×	`prod-exp` `cbrt-unprod`
5×	`pow1`
3×	`add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/r/` `associate-/l/`
1×	`frac-times` `flip3--` `div-sub` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `flip--`

Counts

3 → 575

Calls

3 calls:

19.0ms	(/ (sqrt 2.0) (/ (- y t) (sqrt 2.0)))
20.0ms	(/ (- y t) (sqrt 2.0))
594.0ms	(* (/ (sqrt 2.0) (/ (- y t) (sqrt 2.0))) (/ x z))

series822.0ms

Counts

3 → 9

Calls

3 calls:

203.0ms	(/ (sqrt 2.0) (/ (- y t) (sqrt 2.0)))
149.0ms	(/ (- y t) (sqrt 2.0))
469.0ms	(* (/ (sqrt 2.0) (/ (- y t) (sqrt 2.0))) (/ x z))

simplify903.0ms

Counts

584 → 584

Iterations

Iter	Nodes
done	5001
1	1555
0	476

prune2.5s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ (sqrt (sqrt 2.0)) (/ 1 1)) (/ (* (/ x z) (sqrt (sqrt 2.0))) (/ (- y t) (sqrt 2.0))))
0.3b	(* (/ x z) (sqrt (sqrt 2.0)))
0.5b	(/ (- y t) (sqrt 2.0))
3.7b	(/ (* (/ x z) (sqrt (sqrt 2.0))) (/ (- y t) (sqrt 2.0)))

rewrite285.0ms

Algorithm

rewrite-expression-head

Rules

425×	`times-frac`
306×	`add-exp-log`
300×	`add-sqr-sqrt`
250×	`*-un-lft-identity`
210×	`sqrt-prod`
188×	`add-cube-cbrt`
178×	`div-exp`
140×	`add-cbrt-cube`
135×	`associate-l`
94×	`prod-exp`
67×	`cbrt-undiv`
48×	`associate-r`
40×	`associate-/r*`
39×	`cbrt-unprod`
35×	`1-exp`
25×	`distribute-lft-out--` `difference-of-squares`
22×	`unswap-sqr`
17×	`div-inv`
14×	`rec-exp`
8×	`pow1`
6×	`associate-/l*`
4×	`add-log-exp`
3×	`associate-*l/` `associate-/r/` `associate-/l/`
2×	`clear-num` `frac-2neg` `pow-prod-down` `*-commutative`
1×	`frac-times` `flip3--` `div-sub` `associate-*r/` `flip--`

Counts

4 → 457

Calls

4 calls:

184.0ms	(* (/ (sqrt (sqrt 2.0)) (/ 1 1)) (/ (* (/ x z) (sqrt (sqrt 2.0))) (/ (- y t) (sqrt 2.0))))
21.0ms	(* (/ x z) (sqrt (sqrt 2.0)))
18.0ms	(/ (- y t) (sqrt 2.0))
26.0ms	(/ (* (/ x z) (sqrt (sqrt 2.0))) (/ (- y t) (sqrt 2.0)))

series941.0ms

Counts

4 → 12

Calls

4 calls:

266.0ms	(* (/ (sqrt (sqrt 2.0)) (/ 1 1)) (/ (* (/ x z) (sqrt (sqrt 2.0))) (/ (- y t) (sqrt 2.0))))
126.0ms	(* (/ x z) (sqrt (sqrt 2.0)))
158.0ms	(/ (- y t) (sqrt 2.0))
391.0ms	(/ (* (/ x z) (sqrt (sqrt 2.0))) (/ (- y t) (sqrt 2.0)))

simplify1.1s

Counts

469 → 469

Iterations

Iter	Nodes
done	5001
1	1982
0	535

prune2.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes616.0ms

Accuracy

35.6% (3.6b remaining)

Error of 3.6b against oracle of 0.0b and baseline of 5.6b

bsearch1.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	37
2	37
1	35
0	29

end0.0ms

sample1.0s

Algorithm

intervals

Results

550.0ms

8722×

body

valid