Details

sample55.0ms

Algorithm

intervals

Results

22.0ms

292×

body

valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
8	2777
7	1059
6	442
5	225
4	132
3	72
2	46
1	24
0	13

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* y z) 2.0)
0.0b	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
0.0b	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`add-cbrt-cube` `add-exp-log`
7×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `add-cube-cbrt`
3×	`pow1` `associate-/r*` `times-frac`
2×	`cbrt-undiv` `associate-+l+` `sum-log` `sub-neg` `diff-log` `div-exp`
1×	`+-commutative` `clear-num` `frac-2neg` `flip3-+` `flip3--` `associate-l/` `prod-exp` `frac-sub` `associate-+l-` `cbrt-unprod` `flip-+` `div-inv` `flip--` `distribute-lft-out` `associate-/l`

Counts

3 → 50

Calls

3 calls:

12.0ms	(/ (* y z) 2.0)
73.0ms	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
15.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

series159.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(/ (* y z) 2.0)
73.0ms	(+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t)
62.0ms	(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

simplify652.0ms

Counts

59 → 59

Iterations

Iter	Nodes
done	5001
2	1211
1	289
0	110

prune318.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* (/ 1.0 8.0) x) (/ 1 (/ (/ 2.0 y) z))) t)
0.0b	(- (* (/ 1.0 8.0) x) (/ 1 (/ (/ 2.0 y) z)))
0.2b	(/ (/ 2.0 y) z)
0.6b	(/ 1 (/ (/ 2.0 y) z))

rewrite364.0ms

Algorithm

rewrite-expression-head

Rules

468×	`times-frac`
232×	`*-un-lft-identity`
230×	`add-sqr-sqrt` `add-cube-cbrt`
46×	`associate-/r*`
30×	`add-exp-log`
22×	`div-inv`
18×	`add-cbrt-cube` `div-exp`
16×	`associate-/l*`
11×	`add-log-exp`
9×	`cbrt-undiv`
5×	`pow1`
3×	`rec-exp` `1-exp`
2×	`associate-+l+` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log`
1×	`+-commutative` `flip3-+` `flip3--` `associate-*l/` `associate-/r/` `frac-sub` `associate-+l-` `flip-+` `pow-flip` `flip--` `distribute-lft-out` `inv-pow` `associate-/l/`

Counts

4 → 299

Calls

4 calls:

252.0ms	(+ (- (* (/ 1.0 8.0) x) (/ 1 (/ (/ 2.0 y) z))) t)
55.0ms	(- (* (/ 1.0 8.0) x) (/ 1 (/ (/ 2.0 y) z)))
11.0ms	(/ (/ 2.0 y) z)
21.0ms	(/ 1 (/ (/ 2.0 y) z))

series204.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(+ (- (* (/ 1.0 8.0) x) (/ 1 (/ (/ 2.0 y) z))) t)
69.0ms	(- (* (/ 1.0 8.0) x) (/ 1 (/ (/ 2.0 y) z)))
29.0ms	(/ (/ 2.0 y) z)
28.0ms	(/ 1 (/ (/ 2.0 y) z))

simplify686.0ms

Counts

311 → 311

Iterations

Iter	Nodes
done	5000
1	1360
0	481

prune1.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

9.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series956.0ms

Counts

4 → 12

Calls

4 calls:

294.0ms	(* (cbrt z) (cbrt z))
211.0ms	(cbrt z)
240.0ms	(cbrt z)
211.0ms	(cbrt z)

simplify988.0ms

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	727
1	138
0	61

prune497.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (- (* (/ 1.0 8.0) x) (* (* (/ 1 2.0) (sqrt z)) (* (sqrt z) y))) t)
0.1b	(* (sqrt z) y)
0.1b	(* (* (/ 1 2.0) (sqrt z)) (* (sqrt z) y))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-exp-log`
26×	`add-cbrt-cube`
24×	`prod-exp`
17×	`pow1`
14×	`cbrt-unprod`
10×	`add-sqr-sqrt`
9×	`pow-prod-down`
8×	`*-un-lft-identity` `add-log-exp`
7×	`associate-l`
6×	`add-cube-cbrt`
4×	`div-exp` `associate-r` `sqrt-prod`
2×	`cbrt-undiv` `rec-exp` `associate-+l+` `sum-log` `1-exp` `associate-l/` `-commutative` `unswap-sqr`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `associate-+l-` `flip-+` `distribute-lft-out`

Counts

3 → 69

Calls

3 calls:

75.0ms	(+ (- (* (/ 1.0 8.0) x) (* (* (/ 1 2.0) (sqrt z)) (* (sqrt z) y))) t)
9.0ms	(* (sqrt z) y)
82.0ms	(* (* (/ 1 2.0) (sqrt z)) (* (sqrt z) y))

series192.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(+ (- (* (/ 1.0 8.0) x) (* (* (/ 1 2.0) (sqrt z)) (* (sqrt z) y))) t)
77.0ms	(* (sqrt z) y)
38.0ms	(* (* (/ 1 2.0) (sqrt z)) (* (sqrt z) y))

simplify940.0ms

Counts

78 → 78

Iterations

Iter	Nodes
done	5000
2	2048
1	438
0	155

prune300.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes573.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	16
1	16
0	13

end0.0ms

sample1.4s

Algorithm

intervals

Results

841.0ms	9127×	body	80	valid
0.0ms	1×	body	1280	valid