Details

sample57.0ms

Algorithm

intervals

Results

28.0ms	329×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

simplify509.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	11	13
1	19	13
2	40	11
3	123	9
4	309	9
5	603	9
6	764	9
7	811	9
done	811	9

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(* d1 (+ 32.0 (+ d2 (+ d3 5.0))))

rewrite244.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
6×	`associate-r` `distribute-lft-out`
5×	`add-sqr-sqrt`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
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 → 25

Calls

1 calls:

244.0ms

(* d1 (+ 32.0 (+ d2 (+ d3 5.0))))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(* d1 (+ 32.0 (+ d2 (+ d3 5.0))))

simplify509.0ms

Counts

28 → 28

Iterations

Useful iterations: done (508.0ms)

Iter	Nodes	Cost
0	55	324
1	174	309
2	831	269
done	5000	267

prune93.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* d1 (+ 32.0 (+ d2 (+ d3 5.0))))) (cbrt (* d1 (+ 32.0 (+ d2 (+ d3 5.0))))))
0.6b	(cbrt (* d1 (+ 32.0 (+ d2 (+ d3 5.0)))))
0.6b	(cbrt (* d1 (+ 32.0 (+ d2 (+ d3 5.0)))))
0.6b	(cbrt (* d1 (+ 32.0 (+ d2 (+ d3 5.0)))))

rewrite293.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/`
18×	`cbrt-div`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

24.0ms	(* (cbrt (* d1 (+ 32.0 (+ d2 (+ d3 5.0))))) (cbrt (* d1 (+ 32.0 (+ d2 (+ d3 5.0))))))
78.0ms	(cbrt (* d1 (+ 32.0 (+ d2 (+ d3 5.0)))))
88.0ms	(cbrt (* d1 (+ 32.0 (+ d2 (+ d3 5.0)))))
97.0ms	(cbrt (* d1 (+ 32.0 (+ d2 (+ d3 5.0)))))

series1.5s

Counts

4 → 12

Calls

4 calls:

323.0ms	(* (cbrt (* d1 (+ 32.0 (+ d2 (+ d3 5.0))))) (cbrt (* d1 (+ 32.0 (+ d2 (+ d3 5.0))))))
645.0ms	(cbrt (* d1 (+ 32.0 (+ d2 (+ d3 5.0)))))
255.0ms	(cbrt (* d1 (+ 32.0 (+ d2 (+ d3 5.0)))))
254.0ms	(cbrt (* d1 (+ 32.0 (+ d2 (+ d3 5.0)))))

simplify976.0ms

Counts

84 → 84

Iterations

Useful iterations: done (971.0ms)

Iter	Nodes	Cost
0	163	2233
1	433	2048
2	1624	1861
done	5000	1713

prune415.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 32.0 32.0) (* (+ d2 (+ d3 5.0)) (+ d2 (+ d3 5.0))))
0.0b	(* (+ d2 (+ d3 5.0)) (+ d2 (+ d3 5.0)))
8.2b	(* d1 (- (* 32.0 32.0) (* (+ d2 (+ d3 5.0)) (+ d2 (+ d3 5.0)))))
15.9b	(/ (* d1 (- (* 32.0 32.0) (* (+ d2 (+ d3 5.0)) (+ d2 (+ d3 5.0))))) (- 32.0 (+ d2 (+ d3 5.0))))

rewrite413.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 120

Calls

4 calls:

17.0ms	(- (* 32.0 32.0) (* (+ d2 (+ d3 5.0)) (+ d2 (+ d3 5.0))))
187.0ms	(* (+ d2 (+ d3 5.0)) (+ d2 (+ d3 5.0)))
59.0ms	(* d1 (- (* 32.0 32.0) (* (+ d2 (+ d3 5.0)) (+ d2 (+ d3 5.0)))))
141.0ms	(/ (* d1 (- (* 32.0 32.0) (* (+ d2 (+ d3 5.0)) (+ d2 (+ d3 5.0))))) (- 32.0 (+ d2 (+ d3 5.0))))

series479.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(- (* 32.0 32.0) (* (+ d2 (+ d3 5.0)) (+ d2 (+ d3 5.0))))
29.0ms	(* (+ d2 (+ d3 5.0)) (+ d2 (+ d3 5.0)))
153.0ms	(* d1 (- (* 32.0 32.0) (* (+ d2 (+ d3 5.0)) (+ d2 (+ d3 5.0)))))
245.0ms	(/ (* d1 (- (* 32.0 32.0) (* (+ d2 (+ d3 5.0)) (+ d2 (+ d3 5.0))))) (- 32.0 (+ d2 (+ d3 5.0))))

simplify3.0s

Counts

132 → 132

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	198	2928
1	647	2714
2	4439	2350
done	5000	2253

prune476.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ d2 (+ d3 5.0)) (+ d3 5.0))
3.3b	(- (- (* 32.0 32.0) (* (+ d2 (+ d3 5.0)) d2)) (* (+ d2 (+ d3 5.0)) (+ d3 5.0)))
8.2b	(* d1 (- (- (* 32.0 32.0) (* (+ d2 (+ d3 5.0)) d2)) (* (+ d2 (+ d3 5.0)) (+ d3 5.0))))
15.9b	(/ (* d1 (- (- (* 32.0 32.0) (* (+ d2 (+ d3 5.0)) d2)) (* (+ d2 (+ d3 5.0)) (+ d3 5.0)))) (- 32.0 (+ d2 (+ d3 5.0))))

rewrite620.0ms

Algorithm

rewrite-expression-head

Rules

50×	`associate-*r/`
48×	`frac-sub`
42×	`flip3-+` `flip-+`
35×	`*-un-lft-identity`
28×	`frac-times` `flip3--` `flip--`
18×	`add-sqr-sqrt` `associate-/l/`
14×	`associate-*l/`
13×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `distribute-lft-out`
9×	`add-log-exp`
8×	`pow1` `associate-l`
7×	`times-frac` `associate-r` `associate-/r*`
6×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate--l+` `distribute-lft-out--`
3×	`diff-log` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r/` `*-commutative` `associate--r+` `difference-of-squares` `unswap-sqr`
1×	`associate--l-` `frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 158

Calls

4 calls:

112.0ms	(* (+ d2 (+ d3 5.0)) (+ d3 5.0))
96.0ms	(- (- (* 32.0 32.0) (* (+ d2 (+ d3 5.0)) d2)) (* (+ d2 (+ d3 5.0)) (+ d3 5.0)))
165.0ms	(* d1 (- (- (* 32.0 32.0) (* (+ d2 (+ d3 5.0)) d2)) (* (+ d2 (+ d3 5.0)) (+ d3 5.0))))
227.0ms	(/ (* d1 (- (- (* 32.0 32.0) (* (+ d2 (+ d3 5.0)) d2)) (* (+ d2 (+ d3 5.0)) (+ d3 5.0)))) (- 32.0 (+ d2 (+ d3 5.0))))

series488.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (+ d2 (+ d3 5.0)) (+ d3 5.0))
53.0ms	(- (- (* 32.0 32.0) (* (+ d2 (+ d3 5.0)) d2)) (* (+ d2 (+ d3 5.0)) (+ d3 5.0)))
168.0ms	(* d1 (- (- (* 32.0 32.0) (* (+ d2 (+ d3 5.0)) d2)) (* (+ d2 (+ d3 5.0)) (+ d3 5.0))))
220.0ms	(/ (* d1 (- (- (* 32.0 32.0) (* (+ d2 (+ d3 5.0)) d2)) (* (+ d2 (+ d3 5.0)) (+ d3 5.0)))) (- 32.0 (+ d2 (+ d3 5.0))))

simplify589.0ms

Counts

170 → 170

Iterations

Useful iterations: done (576.0ms)

Iter	Nodes	Cost
0	330	7092
1	1057	6034
done	5000	5708

prune854.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes96.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	13	9
done	13	9

end0.0ms

sample1.2s

Algorithm

intervals

Results

704.0ms	10028×	body	80	valid
4.0ms	19×	body	640	valid
3.0ms	11×	body	1280	valid
1.0ms	9×	body	320	valid
0.0ms	4×	body	160	valid