Details

sample42.0ms

Algorithm

intervals

Results

18.0ms	310×	body	80	valid
1.0ms	4×	body	640	valid
1.0ms	2×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	3×	body	160	valid

simplify62.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	9	11
1	18	9
2	34	7
3	51	7
4	59	7
done	59	7

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite113.0ms

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:

112.0ms

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

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify1.9s

Counts

27 → 27

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	51	265
1	150	252
2	539	218
3	2806	218
done	5000	218

prune64.0ms

Pruning

4 alts after pruning (3 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)) (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))

rewrite271.0ms

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:

191.0ms	(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))
21.0ms	(cbrt (+ (+ 3.0 d2) d3))
30.0ms	(cbrt (+ (+ 3.0 d2) d3))
19.0ms	(cbrt (+ (+ 3.0 d2) d3))

series545.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))
142.0ms	(cbrt (+ (+ 3.0 d2) d3))
125.0ms	(cbrt (+ (+ 3.0 d2) d3))
143.0ms	(cbrt (+ (+ 3.0 d2) d3))

simplify1.7s

Counts

117 → 117

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	136	1979
1	307	1812
2	790	1714
3	2018	1492
done	5000	1461

prune405.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (+ (+ 3.0 d2) d3))
0.6b	(/ (cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (cbrt (- (+ 3.0 d2) d3)))
3.2b	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
21.0b	(cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

97×	`cbrt-prod`
87×	`*-un-lft-identity`
63×	`times-frac`
58×	`add-sqr-sqrt`
42×	`add-cube-cbrt`
20×	`difference-of-squares`
16×	`distribute-lft-out--`
11×	`distribute-lft-out`
9×	`associate-/r*`
8×	`cbrt-div`
7×	`associate-/l*`
6×	`add-exp-log` `add-log-exp`
4×	`pow1` `flip3--` `add-cbrt-cube` `flip--`
2×	`pow1/3` `associate--l+` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `flip3-+` `diff-log` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

4 → 139

Calls

4 calls:

17.0ms	(cbrt (+ (+ 3.0 d2) d3))
95.0ms	(/ (cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (cbrt (- (+ 3.0 d2) d3)))
50.0ms	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
35.0ms	(cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))

series557.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(cbrt (+ (+ 3.0 d2) d3))
234.0ms	(/ (cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (cbrt (- (+ 3.0 d2) d3)))
47.0ms	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
154.0ms	(cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))

simplify2.6s

Counts

151 → 151

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	254	4190
1	507	3936
2	1263	3790
3	4190	3727
done	5000	3368

prune775.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (+ 3.0 d2) d3))
0.0b	(sqrt (+ (+ 3.0 d2) d3))
0.2b	(* d1 (sqrt (+ (+ 3.0 d2) d3)))
0.2b	(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (sqrt (+ (+ 3.0 d2) d3)))

rewrite447.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
21×	`sqrt-prod`
18×	`sqrt-div`
17×	`add-sqr-sqrt`
16×	`associate-r`
13×	`pow1`
12×	`distribute-lft-out`
11×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

33.0ms	(sqrt (+ (+ 3.0 d2) d3))
45.0ms	(sqrt (+ (+ 3.0 d2) d3))
130.0ms	(* d1 (sqrt (+ (+ 3.0 d2) d3)))
235.0ms	(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (sqrt (+ (+ 3.0 d2) d3)))

series251.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(sqrt (+ (+ 3.0 d2) d3))
55.0ms	(sqrt (+ (+ 3.0 d2) d3))
112.0ms	(* d1 (sqrt (+ (+ 3.0 d2) d3)))
44.0ms	(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (sqrt (+ (+ 3.0 d2) d3)))

simplify3.9s

Counts

103 → 103

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	134	1589
1	347	1283
2	991	1161
3	4155	1123
done	5000	1123

prune287.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes72.0ms

Accuracy

0% (0.1b 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

sample1.1s

Algorithm

intervals

Results

578.0ms	9537×	body	80	valid
37.0ms	224×	body	640	valid
21.0ms	104×	body	1280	valid
16.0ms	134×	body	320	valid
8.0ms	104×	body	160	valid