Details

sample139.0ms

Algorithm

intervals

Results

30.0ms	172×	body	160	valid
23.0ms	279×	body	80	nan
22.0ms	535×	pre	80	true
20.0ms	84×	body	80	valid

simplify240.0ms

Counts

1 → 1

Iterations

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.4b

localize55.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* a 3.0) c)
0.3b	(- (* b b) (* (* a 3.0) c))
0.4b	(/ (- (sqrt (- (* b b) (* (* a 3.0) c))) b) (* a 3.0))
33.3b	(- (sqrt (- (* b b) (* (* a 3.0) c))) b)

rewrite391.0ms

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:

40.0ms	(* (* a 3.0) c)
20.0ms	(- (* b b) (* (* a 3.0) c))
210.0ms	(/ (- (sqrt (- (* b b) (* (* a 3.0) c))) b) (* a 3.0))
112.0ms	(- (sqrt (- (* b b) (* (* a 3.0) c))) b)

series523.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (* a 3.0) c)
92.0ms	(- (* b b) (* (* a 3.0) c))
230.0ms	(/ (- (sqrt (- (* b b) (* (* a 3.0) c))) b) (* a 3.0))
161.0ms	(- (sqrt (- (* b b) (* (* a 3.0) c))) b)

simplify3.5s

Counts

121 → 121

Iterations

Iter	Nodes
done	5001
2	2007
1	540
0	202

prune1.1s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 8.5b

localize14.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune191.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 8.5b

localize32.0ms

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)) (* a 3.0))

rewrite150.0ms

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:

22.0ms	(/ (* a c) b)
40.0ms	(* -1.5 (/ (* a c) b))
77.0ms	(/ (* -1.5 (/ (* a c) b)) (* a 3.0))

series135.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ (* a c) b)
51.0ms	(* -1.5 (/ (* a c) b))
44.0ms	(/ (* -1.5 (/ (* a c) b)) (* a 3.0))

simplify2.8s

Counts

93 → 93

Iterations

Iter	Nodes
done	5085
2	2286
1	385
0	129

prune937.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 8.3b

localize33.0ms

Local error

Found 3 expressions with local error:

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

rewrite165.0ms

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:

40.0ms	(* (* a 3.0) b)
35.0ms	(* -1.5 (* a c))
83.0ms	(/ (* -1.5 (* a c)) (* (* a 3.0) b))

series123.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(* (* a 3.0) b)
35.0ms	(* -1.5 (* a c))
54.0ms	(/ (* -1.5 (* a c)) (* (* a 3.0) b))

simplify2.7s

Counts

82 → 82

Iterations

Iter	Nodes
done	5139
2	2378
1	338
0	114

prune477.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 8.3b

regimes1.4s

Accuracy

38.4% (8.4b remaining)

Error of 17.3b against oracle of 8.9b and baseline of 22.5b

bsearch37.0ms

Steps

Iters	Range		Point
2	14.193822051518955	16.025676482670104	14.421199075245967

simplify10.0ms

Iterations

Iter	Nodes
done	28
1	28
0	23

end0.0ms

sample4.6s

Algorithm

intervals

Results

1.4s	16482×	pre	80	true
1.1s	8482×	body	80	nan
1.1s	4522×	body	160	valid
299.0ms	3478×	body	80	valid