Details

sample27.0ms

Algorithm

intervals

Results

10.0ms	303×	body	80	valid
1.0ms	6×	body	1280	valid
1.0ms	7×	body	640	valid
1.0ms	7×	body	320	valid
0.0ms	3×	body	160	valid

simplify4.0ms

Counts: 1 → 1

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite79.0ms

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:

79.0ms

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

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

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

simplify83.0ms

Counts: 27 → 27

prune52.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (+ (+ 3.0 d2) d3))
0.4b	(cbrt (+ (+ 3.0 d2) d3))
0.4b	(cbrt (+ (+ 3.0 d2) d3))
0.4b	(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
51×	`cbrt-prod`
33×	`distribute-lft-out`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 105

Calls

4 calls:

16.0ms	(cbrt (+ (+ 3.0 d2) d3))
16.0ms	(cbrt (+ (+ 3.0 d2) d3))
19.0ms	(cbrt (+ (+ 3.0 d2) d3))
143.0ms	(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))

series421.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(cbrt (+ (+ 3.0 d2) d3))
108.0ms	(cbrt (+ (+ 3.0 d2) d3))
105.0ms	(cbrt (+ (+ 3.0 d2) d3))
104.0ms	(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))

simplify128.0ms

Counts: 117 → 117

prune291.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (+ (+ 3.0 d2) d3))
0.4b	(cbrt (+ (+ 3.0 d2) d3))
0.4b	(cbrt (+ (+ 3.0 d2) d3))
0.4b	(* (cbrt (+ (+ 3.0 d2) d3)) (* (* (cbrt (cbrt (+ (+ 3.0 d2) d3))) (cbrt (cbrt (+ (+ 3.0 d2) d3)))) (cbrt (cbrt (+ (+ 3.0 d2) d3)))))

rewrite712.0ms

Algorithm

rewrite-expression-head

Rules

384×	`cbrt-div`
136×	`frac-times`
111×	`flip3-+` `flip-+`
50×	`associate-*r/`
44×	`associate-*l/`
29×	`*-un-lft-identity`
20×	`cbrt-prod`
15×	`pow1`
13×	`add-exp-log` `pow1/3`
12×	`distribute-lft-out`
10×	`add-cube-cbrt`
9×	`add-sqr-sqrt` `pow-prod-down`
8×	`associate-l`
6×	`prod-exp` `add-cbrt-cube` `cbrt-unprod`
5×	`pow-prod-up`
4×	`add-log-exp`
1×	`swap-sqr` `associate-r` `pow-sqr` `*-commutative`

Counts

4 → 155

Calls

4 calls:

16.0ms	(cbrt (+ (+ 3.0 d2) d3))
18.0ms	(cbrt (+ (+ 3.0 d2) d3))
18.0ms	(cbrt (+ (+ 3.0 d2) d3))
640.0ms	(* (cbrt (+ (+ 3.0 d2) d3)) (* (* (cbrt (cbrt (+ (+ 3.0 d2) d3))) (cbrt (cbrt (+ (+ 3.0 d2) d3)))) (cbrt (cbrt (+ (+ 3.0 d2) d3)))))

series440.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(cbrt (+ (+ 3.0 d2) d3))
110.0ms	(cbrt (+ (+ 3.0 d2) d3))
108.0ms	(cbrt (+ (+ 3.0 d2) d3))
111.0ms	(* (cbrt (+ (+ 3.0 d2) d3)) (* (* (cbrt (cbrt (+ (+ 3.0 d2) d3))) (cbrt (cbrt (+ (+ 3.0 d2) d3)))) (cbrt (cbrt (+ (+ 3.0 d2) d3)))))

simplify77.0ms

Counts: 167 → 167

prune562.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

2.3b	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
8.2b	(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
15.2b	(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
10×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-rgt-in` `add-cube-cbrt` `distribute-lft-in`
6×	`times-frac` `associate--l+` `associate-/r*`
5×	`pow1` `add-log-exp`
4×	`flip3--` `associate-r/` `associate-r*` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `associate-l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `distribute-lft-out`
1×	`frac-2neg` `diff-log` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 75

Calls

3 calls:

22.0ms	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
72.0ms	(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
79.0ms	(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

series253.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
93.0ms	(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
118.0ms	(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

simplify57.0ms

Counts: 84 → 84

prune180.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes62.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.1s

Algorithm

intervals

Results

718.0ms	9646×	body	80	valid
51.0ms	208×	body	640	valid
13.0ms	140×	body	320	valid
11.0ms	71×	body	1280	valid
6.0ms	94×	body	160	valid