Details

sample24.0ms

Algorithm

intervals

Results

10.0ms	315×	body	80	valid
1.0ms	9×	body	640	valid
1.0ms	5×	body	1280	valid
0.0ms	5×	body	160	valid
0.0ms	2×	body	320	valid

simplify59.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	9	204
1	18	164
2	33	124
3	49	124
4	61	124
5	62	124
done	62	124

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
3×	`distribute-lft-out`
2×	`add-sqr-sqrt` `pow1` `+-commutative` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+`
1×	`associate-+l+`

Counts

2 → 26

Calls

2 calls:

45.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
12.0ms	(+ (* d1 3.0) (* d1 d2))

series94.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
49.0ms	(+ (* d1 3.0) (* d1 d2))

simplify3.2s

Counts

32 → 32

Iterations

Useful iterations: 2 (157.0ms)

Iter	Nodes	Cost
0	58	8169
1	191	6167
2	781	5647
3	3298	5647
done	5004	5647

prune213.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
5×	`add-sqr-sqrt` `associate-r`
3×	`pow1` `add-cbrt-cube` `associate-l` `add-exp-log` `add-cube-cbrt` `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:

91.0ms

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

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

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

simplify3.8s

Counts

27 → 27

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	51	5085
1	165	4511
2	667	4351
3	4196	4311
done	5012	4311

prune144.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* d1 (* (cbrt (+ (+ 3.0 d2) d3)) (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))

rewrite650.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

598.0ms	(* (* d1 (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))) (cbrt (+ (+ 3.0 d2) d3)))
16.0ms	(cbrt (+ (+ 3.0 d2) d3))
13.0ms	(cbrt (+ (+ 3.0 d2) d3))
13.0ms	(cbrt (+ (+ 3.0 d2) d3))

series445.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (* d1 (* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))) (cbrt (+ (+ 3.0 d2) d3)))
123.0ms	(cbrt (+ (+ 3.0 d2) d3))
121.0ms	(cbrt (+ (+ 3.0 d2) d3))
145.0ms	(cbrt (+ (+ 3.0 d2) d3))

simplify2.4s

Counts

109 → 109

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	168	59071
1	482	47616
2	1483	47416
done	5000	43246

prune693.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ 3.0 d2) (+ 3.0 d2))
2.3b	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
9.5b	(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
13.4b	(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

rewrite235.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

44.0ms	(* (+ 3.0 d2) (+ 3.0 d2))
30.0ms	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
80.0ms	(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
77.0ms	(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

series366.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (+ 3.0 d2) (+ 3.0 d2))
54.0ms	(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
129.0ms	(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
166.0ms	(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

simplify2.3s

Counts

127 → 127

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	191	36296
1	593	30360
2	2231	29717
done	5000	29397

prune559.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes232.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	204
1	14	204
done	14	204

end0.0ms

sample1.1s

Algorithm

intervals

Results

640.0ms	9583×	body	80	valid
44.0ms	233×	body	640	valid
26.0ms	107×	body	1280	valid
23.0ms	166×	body	320	valid
9.0ms	95×	body	160	valid