Details

sample43.0ms

Algorithm

intervals

Results

15.0ms	309×	body	80	valid
1.0ms	6×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	4×	body	160	valid
0.0ms	1×	body	320	valid

simplify103.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	9	11
1	19	9
2	45	7
3	72	7
4	83	7
5	84	7
done	84	7

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite95.0ms

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` `expm1-log1p-u` `distribute-lft-in` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 26

Calls

1 calls:

94.0ms

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

series49.0ms

Counts

1 → 3

Calls

1 calls:

49.0ms

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

simplify2.0s

Counts

29 → 29

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	53	281
1	155	265
2	576	234
3	2961	234
done	5001	234

prune68.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ 3.0 d2) (+ 3.0 d2))
2.5b	(- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))
7.4b	(* d1 (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2))))
17.5b	(/ (* d1 (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))) (- d3 (+ 3.0 d2)))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt`
8×	`associate-r` `distribute-lft-out`
7×	`associate-l`
6×	`flip3-+` `times-frac` `associate-r/` `swap-sqr` `associate-/r` `flip-+` `add-log-exp`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `frac-times` `flip3--` `flip--` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `prod-diff` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `associate-/r/` `-commutative` `associate-/l/` `associate--r+` `unswap-sqr`
1×	`pow2` `frac-2neg` `pow-plus` `fma-neg` `diff-log` `clear-num` `pow-sqr` `pow-prod-up` `div-inv` `associate-/l*`

Counts

4 → 123

Calls

4 calls:

58.0ms	(* (+ 3.0 d2) (+ 3.0 d2))
8.0ms	(- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))
50.0ms	(* d1 (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2))))
62.0ms	(/ (* d1 (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))) (- d3 (+ 3.0 d2)))

series334.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (+ 3.0 d2) (+ 3.0 d2))
57.0ms	(- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))
119.0ms	(* d1 (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2))))
137.0ms	(/ (* d1 (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))) (- d3 (+ 3.0 d2)))

simplify2.3s

Counts

135 → 135

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	202	2307
1	566	2133
2	2198	1850
done	5000	1593

prune401.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

1.9b	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 (+ 3.0 d2)))
2.6b	(+ (pow d3 3) (pow (+ 3.0 d2) 3))
3.5b	(* d1 (+ (pow d3 3) (pow (+ 3.0 d2) 3)))
27.8b	(/ (* d1 (+ (pow d3 3) (pow (+ 3.0 d2) 3))) (+ (* d3 d3) (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 (+ 3.0 d2)))))

rewrite515.0ms

Algorithm

rewrite-expression-head

Rules

55×	`*-un-lft-identity`
30×	`associate-*r/`
28×	`flip3-+` `flip-+`
26×	`distribute-lft-out`
19×	`unpow-prod-down` `cube-prod`
16×	`frac-sub`
13×	`add-sqr-sqrt` `associate-r`
12×	`fma-def`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
8×	`frac-times` `add-log-exp`
6×	`pow1` `associate-*l/`
4×	`expm1-log1p-u` `log1p-expm1-u` `sub-div`
3×	`distribute-rgt-in` `distribute-lft-in` `times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate--l+` `associate-/r/` `sum-cubes` `cbrt-unprod` `associate-/l/` `associate--r+`
1×	`+-commutative` `cube-mult` `sub-neg` `flip3--` `distribute-rgt-out--` `frac-2neg` `fma-neg` `diff-log` `unpow3` `prod-diff` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip--` `div-inv` `associate-/l` `unswap-sqr` `sqr-pow`

Counts

4 → 137

Calls

4 calls:

28.0ms	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 (+ 3.0 d2)))
60.0ms	(+ (pow d3 3) (pow (+ 3.0 d2) 3))
257.0ms	(* d1 (+ (pow d3 3) (pow (+ 3.0 d2) 3)))
164.0ms	(/ (* d1 (+ (pow d3 3) (pow (+ 3.0 d2) 3))) (+ (* d3 d3) (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 (+ 3.0 d2)))))

series675.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 (+ 3.0 d2)))
75.0ms	(+ (pow d3 3) (pow (+ 3.0 d2) 3))
203.0ms	(* d1 (+ (pow d3 3) (pow (+ 3.0 d2) 3)))
338.0ms	(/ (* d1 (+ (pow d3 3) (pow (+ 3.0 d2) 3))) (+ (* d3 d3) (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 (+ 3.0 d2)))))

simplify2.2s

Counts

149 → 149

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	265	3425
1	890	2845
2	4008	2453
done	5000	2448

prune612.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes85.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	10	7
done	10	7

end0.0ms

sample800.0ms

Algorithm

intervals

Results

316.0ms	9518×	body	80	valid
23.0ms	189×	body	640	valid
17.0ms	157×	body	320	valid
15.0ms	100×	body	1280	valid
8.0ms	89×	body	160	valid