Details

sample144.0ms

Algorithm

intervals

Results

47.0ms	258×	body	80	nan
23.0ms	148×	body	160	valid
19.0ms	514×	pre	80	true
9.0ms	41×	body	320	valid
5.0ms	67×	body	80	valid

simplify118.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	12	17
1	22	17
2	42	16
3	82	16
4	104	16
5	112	16
done	112	16

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.6b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* 3.0 a) c))
0.2b	(* (* 3.0 a) c)
0.3b	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
37.1b	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite326.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
21×	`add-cube-cbrt`
19×	`prod-diff`
15×	`sqrt-prod`
14×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
8×	`add-log-exp`
7×	`fma-neg`
6×	`times-frac` `associate-/l*` `difference-of-squares`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`flip3--` `associate-r` `pow-prod-down` `flip--` `distribute-lft-out--`
2×	`cbrt-undiv` `sub-neg` `diff-log` `div-exp` `associate-/l/`
1×	`frac-2neg` `div-sub` `associate-l` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

4 → 109

Calls

4 calls:

17.0ms	(- (* b b) (* (* 3.0 a) c))
32.0ms	(* (* 3.0 a) c)
168.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
103.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series323.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(- (* b b) (* (* 3.0 a) c))
22.0ms	(* (* 3.0 a) c)
122.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
124.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify1.6s

Counts

121 → 121

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	201	2338
1	495	2065
2	1668	1747
done	5000	1676

prune296.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 5.2b

localize4.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune55.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 5.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ (* a c) b)
0.3b	(* -1.5 (/ (* a c) b))
0.4b	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log` `add-cbrt-cube`
17×	`prod-exp` `cbrt-unprod`
16×	`cbrt-undiv` `div-exp`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`times-frac` `associate-r`
5×	`pow1`
4×	`associate-/r*`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-2neg` `associate-r/` `clear-num` `associate-/l`
1×	`pow-prod-down` `*-commutative` `associate-/l/` `unswap-sqr`

Counts

3 → 84

Calls

3 calls:

17.0ms	(/ (* a c) b)
31.0ms	(* -1.5 (/ (* a c) b))
39.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series82.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(/ (* a c) b)
34.0ms	(* -1.5 (/ (* a c) b))
26.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify842.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (295.0ms)

Iter	Nodes	Cost
0	129	1138
1	353	1097
2	1740	813
done	5000	813

prune322.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 5.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* 3.0 a) b)
0.3b	(* -1.5 (* a c))
0.4b	(/ (* -1.5 (* a c)) (* (* 3.0 a) b))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log` `add-cbrt-cube`
24×	`prod-exp` `cbrt-unprod`
13×	`pow1`
9×	`cbrt-undiv` `div-exp`
6×	`pow-prod-down`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

3 → 73

Calls

3 calls:

23.0ms	(* (* 3.0 a) b)
21.0ms	(* -1.5 (* a c))
65.0ms	(/ (* -1.5 (* a c)) (* (* 3.0 a) b))

series78.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(* (* 3.0 a) b)
28.0ms	(* -1.5 (* a c))
28.0ms	(/ (* -1.5 (* a c)) (* (* 3.0 a) b))

simplify1.4s

Counts

82 → 82

Iterations

Useful iterations: 2 (395.0ms)

Iter	Nodes	Cost
0	113	1002
1	326	967
2	2306	687
done	5000	687

prune112.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 5.1b

regimes547.0ms

Accuracy

12.4% (6.2b remaining)

Error of 11.4b against oracle of 5.2b and baseline of 12.3b

bsearch69.0ms

Steps

Iters	Range		Point
6	0.0015991185291722328	0.0064842211682737015	0.0016145486991948593

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	25
1	21	25
done	21	25

end0.0ms

sample3.6s

Algorithm

intervals

Results

894.0ms	16305×	pre	80	true
830.0ms	4828×	body	160	valid
666.0ms	8305×	body	80	nan
333.0ms	1332×	body	320	valid
108.0ms	1840×	body	80	valid