Details

sample33.0ms

Algorithm

intervals

Results

19.0ms	319×	body	80	valid
1.0ms	5×	body	1280	valid
1.0ms	4×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	2×	body	160	valid

simplify27.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	71
5	71
4	66
3	52
2	34
1	18
0	9

prune23.0ms

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 (+ d2 (+ 3 d3)))

rewrite42.0ms

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-+` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

1 → 25

Calls

1 calls:

41.0ms

(* d1 (+ d2 (+ 3 d3)))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(* d1 (+ d2 (+ 3 d3)))

simplify782.0ms

Counts

28 → 28

Iterations

Iter	Nodes
done	5000
2	743
1	165
0	51

prune143.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ d2 (+ 3 d3)))
0.3b	(cbrt (+ d2 (+ 3 d3)))
0.3b	(cbrt (+ d2 (+ 3 d3)))
0.4b	(* (cbrt (+ d2 (+ 3 d3))) (cbrt (+ d2 (+ 3 d3))))

rewrite97.0ms

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` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

8.0ms	(cbrt (+ d2 (+ 3 d3)))
8.0ms	(cbrt (+ d2 (+ 3 d3)))
8.0ms	(cbrt (+ d2 (+ 3 d3)))
71.0ms	(* (cbrt (+ d2 (+ 3 d3))) (cbrt (+ d2 (+ 3 d3))))

series458.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(cbrt (+ d2 (+ 3 d3)))
141.0ms	(cbrt (+ d2 (+ 3 d3)))
103.0ms	(cbrt (+ d2 (+ 3 d3)))
92.0ms	(* (cbrt (+ d2 (+ 3 d3))) (cbrt (+ d2 (+ 3 d3))))

simplify1.2s

Counts

121 → 121

Iterations

Iter	Nodes
done	5000
2	1223
1	321
0	130

prune474.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ d2 (+ 3 d3)))
0.3b	(cbrt (cbrt (+ d2 (+ 3 d3))))
0.4b	(* (cbrt (+ d2 (+ 3 d3))) (cbrt (+ d2 (+ 3 d3))))
0.4b	(cbrt (* (cbrt (+ d2 (+ 3 d3))) (cbrt (+ d2 (+ 3 d3)))))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

69×	`*-un-lft-identity`
55×	`cbrt-prod`
38×	`cbrt-div`
30×	`distribute-lft-out`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
14×	`flip3-+` `swap-sqr` `flip-+`
11×	`pow1`
9×	`pow1/3`
8×	`frac-times` `associate-r` `associate-l`
6×	`add-exp-log`
4×	`add-cbrt-cube` `associate-l/` `associate-r/` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 114

Calls

4 calls:

8.0ms	(cbrt (+ d2 (+ 3 d3)))
14.0ms	(cbrt (cbrt (+ d2 (+ 3 d3))))
87.0ms	(* (cbrt (+ d2 (+ 3 d3))) (cbrt (+ d2 (+ 3 d3))))
33.0ms	(cbrt (* (cbrt (+ d2 (+ 3 d3))) (cbrt (+ d2 (+ 3 d3)))))

series505.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(cbrt (+ d2 (+ 3 d3)))
133.0ms	(cbrt (cbrt (+ d2 (+ 3 d3))))
121.0ms	(* (cbrt (+ d2 (+ 3 d3))) (cbrt (+ d2 (+ 3 d3))))
121.0ms	(cbrt (* (cbrt (+ d2 (+ 3 d3))) (cbrt (+ d2 (+ 3 d3)))))

simplify1.2s

Counts

126 → 126

Iterations

Iter	Nodes
done	5001
2	1690
1	510
0	224

prune684.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- d2 (+ 3 d3)))
0.4b	(* (cbrt (+ d2 (+ 3 d3))) (cbrt (+ d2 (+ 3 d3))))
0.6b	(/ (cbrt (* (+ d2 (+ 3 d3)) (- d2 (+ 3 d3)))) (cbrt (- d2 (+ 3 d3))))
21.0b	(cbrt (* (+ d2 (+ 3 d3)) (- d2 (+ 3 d3))))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

107×	`*-un-lft-identity`
83×	`cbrt-prod`
53×	`add-sqr-sqrt`
36×	`times-frac`
33×	`add-cube-cbrt`
32×	`cbrt-div`
30×	`distribute-lft-out`
14×	`swap-sqr`
12×	`frac-times` `flip3-+` `flip-+` `distribute-lft-out--`
11×	`pow1`
9×	`associate-/r*`
8×	`flip3--` `pow1/3` `associate-r` `associate-l` `add-exp-log` `flip--` `associate-/l/`
6×	`associate-l/` `associate-r/` `difference-of-squares`
4×	`add-cbrt-cube` `insert-posit16` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-/r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `cbrt-undiv` `clear-num` `frac-2neg` `pow-plus` `div-exp` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 168

Calls

4 calls:

15.0ms	(cbrt (- d2 (+ 3 d3)))
117.0ms	(* (cbrt (+ d2 (+ 3 d3))) (cbrt (+ d2 (+ 3 d3))))
21.0ms	(/ (cbrt (* (+ d2 (+ 3 d3)) (- d2 (+ 3 d3)))) (cbrt (- d2 (+ 3 d3))))
28.0ms	(cbrt (* (+ d2 (+ 3 d3)) (- d2 (+ 3 d3))))

series506.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(cbrt (- d2 (+ 3 d3)))
110.0ms	(* (cbrt (+ d2 (+ 3 d3))) (cbrt (+ d2 (+ 3 d3))))
118.0ms	(/ (cbrt (* (+ d2 (+ 3 d3)) (- d2 (+ 3 d3)))) (cbrt (- d2 (+ 3 d3))))
166.0ms	(cbrt (* (+ d2 (+ 3 d3)) (- d2 (+ 3 d3))))

simplify1.6s

Counts

180 → 180

Iterations

Iter	Nodes
done	5000
2	2653
1	616
0	284

prune1.0s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes163.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	7

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.2s	9727×	body	80	valid
50.0ms	187×	body	640	valid
31.0ms	93×	body	1280	valid
27.0ms	131×	body	320	valid
12.0ms	86×	body	160	valid