Details

sample139.0ms

Algorithm

intervals

Results

47.0ms	293×	body	80	nan
24.0ms	147×	body	160	valid
20.0ms	549×	pre	80	true
9.0ms	109×	body	80	valid

simplify123.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	12	324
1	22	324
2	40	284
3	75	284
4	91	284
5	99	284
6	101	284
7	102	284
done	102	284

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.4b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* b b) (* (* 3.0 a) c))
0.2b	(* (* 3.0 a) c)
0.4b	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
29.1b	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite182.0ms

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-cbrt-cube` `add-exp-log`
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×	`clear-num` `associate-/r` `frac-2neg` `div-sub` `associate-l` `-commutative` `div-inv`

Counts

4 → 109

Calls

4 calls:

7.0ms	(- (* b b) (* (* 3.0 a) c))
15.0ms	(* (* 3.0 a) c)
92.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
65.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series350.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(- (* b b) (* (* 3.0 a) c))
25.0ms	(* (* 3.0 a) c)
148.0ms	(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* 3.0 a))
104.0ms	(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify2.7s

Counts

121 → 121

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	201	41813
1	540	37326
2	1918	33402
done	5000	33337

prune776.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 8.3b

localize5.0ms

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

prune179.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 8.3b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-cbrt-cube` `add-exp-log`
17×	`prod-exp` `cbrt-unprod`
16×	`cbrt-undiv` `div-exp`
10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
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×	`clear-num` `frac-2neg` `associate-r/` `associate-/l`
1×	`pow-prod-down` `*-commutative` `unswap-sqr` `associate-/l/`

Counts

3 → 84

Calls

3 calls:

17.0ms	(/ (* a c) b)
28.0ms	(* -1.5 (/ (* a c) b))
41.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series135.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ (* a c) b)
57.0ms	(* -1.5 (/ (* a c) b))
41.0ms	(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify1.8s

Counts

93 → 93

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	129	22055
1	386	19651
2	2220	19011
done	5042	18611

prune657.0ms

Pruning

38 alts after pruning (37 fresh and 1 done)

Merged error: 8.2b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 89

Calls

3 calls:

39.0ms	(/ (* -1.5 (* a c)) b)
36.0ms	(/ (/ (* -1.5 (* a c)) b) (* 3.0 a))
25.0ms	(* -1.5 (* a c))

series114.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ (* -1.5 (* a c)) b)
41.0ms	(/ (/ (* -1.5 (* a c)) b) (* 3.0 a))
39.0ms	(* -1.5 (* a c))

simplify2.5s

Counts

98 → 98

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	141	24343
1	375	21980
2	1709	20819
done	5008	20339

prune491.0ms

Pruning

39 alts after pruning (38 fresh and 1 done)

Merged error: 8.2b

regimes1.6s

Accuracy

47.9% (7.4b remaining)

Error of 16.2b against oracle of 8.8b and baseline of 23.0b

bsearch19.0ms

Steps

Iters	Range		Point
1	841.6861942006584	905.1311636750387	857.5474365692535

simplify7.0ms

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	19	576
1	23	576
done	23	576

end0.0ms

sample3.2s

Algorithm

intervals

Results

970.0ms	4424×	body	160	valid
828.0ms	8296×	body	80	nan
611.0ms	16296×	pre	80	true
270.0ms	3576×	body	80	valid