Details

sample45.0ms

Algorithm

intervals

Results

21.0ms	313×	body	80	valid
2.0ms	9×	body	640	valid
1.0ms	4×	body	320	valid
1.0ms	2×	body	1280	valid
1.0ms	4×	body	160	valid

simplify126.0ms

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

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite103.0ms

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:

102.0ms

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

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

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

simplify2.0s

Counts

29 → 29

Iterations

Useful iterations: 2 (100.0ms)

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

prune82.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

77.0ms

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

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify3.0s

Counts

27 → 27

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	50	273
1	131	261
2	545	230
3	2804	230
done	5000	230

prune71.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite273.0ms

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×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `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 → 113

Calls

4 calls:

18.0ms	(cbrt (+ d3 (+ 3.0 d2)))
27.0ms	(cbrt (+ d3 (+ 3.0 d2)))
26.0ms	(cbrt (+ d3 (+ 3.0 d2)))
196.0ms	(* (cbrt (+ d3 (+ 3.0 d2))) (cbrt (+ d3 (+ 3.0 d2))))

series575.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(cbrt (+ d3 (+ 3.0 d2)))
143.0ms	(cbrt (+ d3 (+ 3.0 d2)))
152.0ms	(cbrt (+ d3 (+ 3.0 d2)))
133.0ms	(* (cbrt (+ d3 (+ 3.0 d2))) (cbrt (+ d3 (+ 3.0 d2))))

simplify2.3s

Counts

125 → 125

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	140	2049
1	326	1847
2	868	1757
3	2283	1538
done	5001	1502

prune400.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ d3 (+ 3.0 d2))) (cbrt (+ d3 (+ 3.0 d2))))
0.6b	(/ (cbrt (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))) (cbrt (- d3 (+ 3.0 d2))))
2.7b	(- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))
22.2b	(cbrt (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2))))

rewrite234.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 194

Calls

4 calls:

139.0ms	(* (cbrt (+ d3 (+ 3.0 d2))) (cbrt (+ d3 (+ 3.0 d2))))
50.0ms	(/ (cbrt (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))) (cbrt (- d3 (+ 3.0 d2))))
19.0ms	(- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))
14.0ms	(cbrt (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2))))

series604.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(* (cbrt (+ d3 (+ 3.0 d2))) (cbrt (+ d3 (+ 3.0 d2))))
240.0ms	(/ (cbrt (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))) (cbrt (- d3 (+ 3.0 d2))))
61.0ms	(- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))
171.0ms	(cbrt (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2))))

simplify1.4s

Counts

206 → 206

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	310	5270
1	631	4856
2	1758	4686
done	5000	4509

prune1.0s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes83.0ms

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

sample1.4s

Algorithm

intervals

Results

1.0s	9535×	body	80	valid
39.0ms	207×	body	640	valid
22.0ms	167×	body	320	valid
20.0ms	94×	body	1280	valid
8.0ms	87×	body	160	valid