Details

sample28.0ms

Algorithm

intervals

Results

11.0ms	315×	body	80	valid
1.0ms	5×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	160	valid

simplify106.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite83.0ms

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:

82.0ms

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

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

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

simplify2.2s

Counts

29 → 29

Iterations

Useful iterations: 2 (137.0ms)

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

prune76.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`expm1-log1p-u` `flip3-+` `associate-*l/` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `distribute-rgt-out` `fma-def` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 38

Calls

2 calls:

18.0ms	(+ (* d3 d1) (* (+ 3.0 d2) d1))
27.0ms	(* (+ 3.0 d2) d1)

series86.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(+ (* d3 d1) (* (+ 3.0 d2) d1))
37.0ms	(* (+ 3.0 d2) d1)

simplify2.9s

Counts

44 → 44

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	73	435
1	208	370
2	767	338
3	3244	337
done	5000	336

prune152.0ms

Pruning

4 alts after pruning (3 fresh and 1 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))
0.3b	(* (cbrt (+ 3.0 d2)) d1)
0.3b	(* (* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2))) (* (cbrt (+ 3.0 d2)) d1))

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
34×	`associate-*l/`
30×	`flip3-+` `flip-+`
28×	`frac-times`
18×	`pow1` `add-exp-log`
15×	`*-un-lft-identity`
13×	`cbrt-prod` `add-sqr-sqrt`
11×	`add-cbrt-cube`
9×	`add-cube-cbrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`associate-r/` `associate-l*`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-out`
2×	`pow1/3` `*-commutative` `unswap-sqr`

Counts

4 → 109

Calls

4 calls:

4.0ms	(cbrt (+ 3.0 d2))
4.0ms	(cbrt (+ 3.0 d2))
25.0ms	(* (cbrt (+ 3.0 d2)) d1)
154.0ms	(* (* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2))) (* (cbrt (+ 3.0 d2)) d1))

series538.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(cbrt (+ 3.0 d2))
144.0ms	(cbrt (+ 3.0 d2))
236.0ms	(* (cbrt (+ 3.0 d2)) d1)
36.0ms	(* (* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2))) (* (cbrt (+ 3.0 d2)) d1))

simplify4.0s

Counts

121 → 121

Iterations

Useful iterations: done (4.0s)

Iter	Nodes	Cost
0	209	2306
1	572	2183
2	1600	1868
3	4369	1654
done	5000	1652

prune367.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ (cbrt (+ (pow 3.0 3) (pow d2 3))) (cbrt (fma 3.0 3.0 (* d2 (- d2 3.0))))) d1)
0.3b	(* (* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2))) (* (/ (cbrt (+ (pow 3.0 3) (pow d2 3))) (cbrt (fma 3.0 3.0 (* d2 (- d2 3.0))))) d1))
12.3b	(cbrt (fma 3.0 3.0 (* d2 (- d2 3.0))))
17.8b	(cbrt (+ (pow 3.0 3) (pow d2 3)))

rewrite330.0ms

Algorithm

rewrite-expression-head

Rules

114×	`*-un-lft-identity`
106×	`cbrt-prod`
77×	`associate-l`
76×	`times-frac`
58×	`add-sqr-sqrt`
44×	`add-cube-cbrt`
35×	`distribute-lft-out`
30×	`add-exp-log`
28×	`unpow-prod-down` `cube-prod`
26×	`cbrt-div`
22×	`associate-*l/`
18×	`pow1` `add-cbrt-cube`
16×	`frac-times`
15×	`prod-exp` `cbrt-unprod`
13×	`flip3-+` `flip-+`
9×	`pow-prod-down`
7×	`sum-cubes`
5×	`associate-*r/` `unswap-sqr`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow1/3` `*-commutative`
1×	`div-inv`

Counts

4 → 179

Calls

4 calls:

116.0ms	(* (/ (cbrt (+ (pow 3.0 3) (pow d2 3))) (cbrt (fma 3.0 3.0 (* d2 (- d2 3.0))))) d1)
155.0ms	(* (* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2))) (* (/ (cbrt (+ (pow 3.0 3) (pow d2 3))) (cbrt (fma 3.0 3.0 (* d2 (- d2 3.0))))) d1))
1.0ms	(cbrt (fma 3.0 3.0 (* d2 (- d2 3.0))))
42.0ms	(cbrt (+ (pow 3.0 3) (pow d2 3)))

series1.8s

Counts

4 → 12

Calls

4 calls:

423.0ms	(* (/ (cbrt (+ (pow 3.0 3) (pow d2 3))) (cbrt (fma 3.0 3.0 (* d2 (- d2 3.0))))) d1)
564.0ms	(* (* (cbrt (+ 3.0 d2)) (cbrt (+ 3.0 d2))) (* (/ (cbrt (+ (pow 3.0 3) (pow d2 3))) (cbrt (fma 3.0 3.0 (* d2 (- d2 3.0))))) d1))
145.0ms	(cbrt (fma 3.0 3.0 (* d2 (- d2 3.0))))
667.0ms	(cbrt (+ (pow 3.0 3) (pow d2 3)))

simplify2.2s

Counts

191 → 191

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	344	4965
1	898	4844
2	2729	4362
done	5001	4253

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes82.0ms

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	8	9
1	12	9
done	12	9

end0.0ms

sample1.6s

Algorithm

intervals

Results

591.0ms	9573×	body	80	valid
395.0ms	95×	body	1280	valid
67.0ms	212×	body	640	valid
25.0ms	159×	body	320	valid
9.0ms	99×	body	160	valid