Details

sample25.0ms

Algorithm

intervals

Results

10.0ms	310×	body	80	valid
0.0ms	4×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	3×	body	160	valid

simplify96.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

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: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite81.0ms

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:

80.0ms

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

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify1.9s

Counts

29 → 29

Iterations

Useful iterations: 2 (117.0ms)

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

prune81.0ms

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 (+ d3 (+ 3.0 d2))) (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)))

rewrite233.0ms

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:

178.0ms	(* (cbrt (+ d3 (+ 3.0 d2))) (cbrt (+ d3 (+ 3.0 d2))))
15.0ms	(cbrt (+ d3 (+ 3.0 d2)))
13.0ms	(cbrt (+ d3 (+ 3.0 d2)))
20.0ms	(cbrt (+ d3 (+ 3.0 d2)))

series537.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(* (cbrt (+ d3 (+ 3.0 d2))) (cbrt (+ d3 (+ 3.0 d2))))
140.0ms	(cbrt (+ d3 (+ 3.0 d2)))
132.0ms	(cbrt (+ d3 (+ 3.0 d2)))
144.0ms	(cbrt (+ d3 (+ 3.0 d2)))

simplify2.4s

Counts

125 → 125

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	140	2049
1	326	1847
2	871	1757
3	2280	1538
done	5000	1502

prune427.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite123.0ms

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` `expm1-log1p-u` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u`
2×	`pow1/3` `associate-/r/` `associate-/l/` `associate--r+`
1×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `flip3-+` `fma-neg` `diff-log` `div-exp` `prod-diff` `clear-num` `flip-+` `div-inv`

Counts

4 → 149

Calls

4 calls:

28.0ms	(cbrt (+ d3 (+ 3.0 d2)))
56.0ms	(/ (cbrt (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))) (cbrt (- d3 (+ 3.0 d2))))
18.0ms	(- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))
11.0ms	(cbrt (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2))))

series640.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(cbrt (+ d3 (+ 3.0 d2)))
202.0ms	(/ (cbrt (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))) (cbrt (- d3 (+ 3.0 d2))))
50.0ms	(- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2)))
246.0ms	(cbrt (- (* d3 d3) (* (+ 3.0 d2) (+ 3.0 d2))))

simplify2.8s

Counts

161 → 161

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	264	4321
1	534	4041
2	1411	3913
3	4894	3843
done	5000	3843

prune746.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite347.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
21×	`add-sqr-sqrt` `sqrt-prod`
18×	`sqrt-div`
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×	`expm1-log1p-u` `frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `hypot-def` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

30.0ms	(sqrt (+ d3 (+ 3.0 d2)))
53.0ms	(sqrt (+ d3 (+ 3.0 d2)))
82.0ms	(* d1 (sqrt (+ d3 (+ 3.0 d2))))
175.0ms	(* (* d1 (sqrt (+ d3 (+ 3.0 d2)))) (sqrt (+ d3 (+ 3.0 d2))))

series240.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(sqrt (+ d3 (+ 3.0 d2)))
41.0ms	(sqrt (+ d3 (+ 3.0 d2)))
105.0ms	(* d1 (sqrt (+ d3 (+ 3.0 d2))))
43.0ms	(* (* d1 (sqrt (+ d3 (+ 3.0 d2)))) (sqrt (+ d3 (+ 3.0 d2))))

simplify3.1s

Counts

113 → 113

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	140	1667
1	371	1322
2	1072	1200
3	4376	1169
done	5000	1165

prune252.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes64.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.0s

Algorithm

intervals

Results

561.0ms	9537×	body	80	valid
34.0ms	224×	body	640	valid
22.0ms	104×	body	1280	valid
15.0ms	134×	body	320	valid
8.0ms	104×	body	160	valid