Details

sample47.0ms

Algorithm

intervals

Results

19.0ms	315×	body	80	valid
1.0ms	5×	body	640	valid
1.0ms	2×	body	1280	valid
1.0ms	3×	body	320	valid
0.0ms	2×	body	160	valid

simplify4.0ms

Counts: 1 → 1

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ (+ 3.0 d2) d3))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `associate-r`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube` `distribute-lft-out`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 24

Calls

1 calls:

140.0ms

(* d1 (+ (+ 3.0 d2) d3))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(* d1 (+ (+ 3.0 d2) d3))

simplify72.0ms

Counts: 27 → 27

prune74.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* d1 (+ 3.0 d2)) (* d1 d3))
0.0b	(* d1 (+ 3.0 d2))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+` `distribute-lft-out`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

28.0ms	(+ (* d1 (+ 3.0 d2)) (* d1 d3))
23.0ms	(* d1 (+ 3.0 d2))

series122.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(+ (* d1 (+ 3.0 d2)) (* d1 d3))
69.0ms	(* d1 (+ 3.0 d2))

simplify118.0ms

Counts: 43 → 43

prune116.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ 3.0 d2))
0.2b	(cbrt (+ 3.0 d2))
0.2b	(cbrt (+ 3.0 d2))
0.3b	(* (* d1 (* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2)))) (cbrt (+ 3.0 d2)))

rewrite267.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*r/`
30×	`flip3-+` `flip-+`
28×	`frac-times`
17×	`*-un-lft-identity`
16×	`cbrt-prod`
14×	`associate-*l/`
13×	`pow1` `add-exp-log`
9×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`add-cbrt-cube`
7×	`associate-r`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-lft-out` `add-log-exp`
3×	`pow1/3`
1×	`associate-l` `*-commutative`

Counts

4 → 93

Calls

4 calls:

4.0ms	(cbrt (+ 3.0 d2))
4.0ms	(cbrt (+ 3.0 d2))
4.0ms	(cbrt (+ 3.0 d2))
249.0ms	(* (* d1 (* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2)))) (cbrt (+ 3.0 d2)))

series397.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(cbrt (+ 3.0 d2))
95.0ms	(cbrt (+ 3.0 d2))
138.0ms	(cbrt (+ 3.0 d2))
49.0ms	(* (* d1 (* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2)))) (cbrt (+ 3.0 d2)))

simplify66.0ms

Counts: 105 → 105

prune405.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ 3.0 d2))
0.2b	(cbrt (+ 3.0 d2))
0.2b	(cbrt (+ 3.0 d2))
0.2b	(* (* (* d1 (* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2)))) (sqrt (cbrt (+ 3.0 d2)))) (sqrt (cbrt (+ 3.0 d2))))

rewrite984.0ms

Algorithm

rewrite-expression-head

Rules

222×	`cbrt-div`
136×	`frac-times`
111×	`flip3-+` `flip-+`
108×	`sqrt-div`
98×	`associate-*r/`
68×	`associate-*l/`
18×	`pow1` `add-exp-log` `*-un-lft-identity`
16×	`cbrt-prod` `add-cbrt-cube`
10×	`add-sqr-sqrt` `add-cube-cbrt` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`sqrt-prod`
4×	`distribute-lft-out` `add-log-exp`
3×	`pow1/3`
1×	`associate-l` `*-commutative`

Counts

4 → 153

Calls

4 calls:

4.0ms	(cbrt (+ 3.0 d2))
4.0ms	(cbrt (+ 3.0 d2))
4.0ms	(cbrt (+ 3.0 d2))
952.0ms	(* (* (* d1 (* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2)))) (sqrt (cbrt (+ 3.0 d2)))) (sqrt (cbrt (+ 3.0 d2))))

series447.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(cbrt (+ 3.0 d2))
113.0ms	(cbrt (+ 3.0 d2))
137.0ms	(cbrt (+ 3.0 d2))
44.0ms	(* (* (* d1 (* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2)))) (sqrt (cbrt (+ 3.0 d2)))) (sqrt (cbrt (+ 3.0 d2))))

simplify100.0ms

Counts: 165 → 165

prune831.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes80.0ms

Accuracy

9.1% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.1s

Algorithm

intervals

Results

517.0ms	9573×	body	80	valid
94.0ms	159×	body	320	valid
32.0ms	212×	body	640	valid
18.0ms	95×	body	1280	valid
7.0ms	99×	body	160	valid