Details

sample203.0ms

Algorithm

intervals

Results

55.0ms	123×	body	320	valid
46.0ms	486×	pre	80	true
32.0ms	230×	body	80	nan
25.0ms	83×	body	160	valid
12.0ms	20×	body	640	valid
4.0ms	30×	body	80	valid

simplify115.0ms

Counts

1 → 1

Iterations

Iter	Nodes
8	102
7	102
6	101
5	99
4	91
3	73
2	41
1	22
0	12

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* b b) (* (* 3 a) c))
0.1b	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
0.3b	(* (* 3 a) c)
25.1b	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
14×	`add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt` `fma-def` `add-cube-cbrt` `add-log-exp`
9×	`pow1`
6×	`distribute-rgt-neg-in` `distribute-lft-out`
5×	`times-frac` `associate-/l*`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `associate-r` `pow-prod-down`
2×	`neg-sub0` `cbrt-undiv` `sum-log` `flip3-+` `div-exp` `associate-+l-` `flip-+` `associate-/l/`
1×	`+-commutative` `clear-num` `associate-/r` `neg-mul-1` `sub-neg` `frac-2neg` `flip3--` `fma-neg` `diff-log` `div-sub` `associate-l` `prod-diff` `neg-log` `-commutative` `div-inv` `flip--`

Counts

4 → 97

Calls

4 calls:

17.0ms	(- (* b b) (* (* 3 a) c))
97.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
22.0ms	(* (* 3 a) c)
16.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

series390.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(- (* b b) (* (* 3 a) c))
162.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))
34.0ms	(* (* 3 a) c)
133.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))

simplify5.8s

Counts

109 → 109

Iterations

Iter	Nodes
3	6670
2	1614
1	465
0	170

prune1.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.3b

localize6.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
1	0
0	0

prune45.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.3b

localize17.0ms

Local error

Found 3 expressions with local error:

0.3b	(/ (* a c) b)
0.3b	(* -3/2 (/ (* a c) b))
0.4b	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

rewrite79.0ms

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` `insert-posit16` `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 → 87

Calls

3 calls:

19.0ms	(/ (* a c) b)
26.0ms	(* -3/2 (/ (* a c) b))
32.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

series93.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ (* a c) b)
36.0ms	(* -3/2 (/ (* a c) b))
32.0ms	(/ (* -3/2 (/ (* a c) b)) (* 3 a))

simplify12.9s

Counts

96 → 96

Iterations

Iter	Nodes
3	16378
2	1907
1	377
0	132

prune692.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 2.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ -1/2 b) c)
0.4b	(* (* (* (/ -1/2 b) c) (* (/ -1/2 b) c)) (* (/ -1/2 b) c))
0.5b	(* (* (/ -1/2 b) c) (* (/ -1/2 b) c))
0.7b	(cbrt (* (* (* (/ -1/2 b) c) (* (/ -1/2 b) c)) (* (/ -1/2 b) c)))

rewrite475.0ms

Algorithm

rewrite-expression-head

Rules

216×	`add-cbrt-cube` `add-exp-log`
200×	`pow1`
136×	`prod-exp` `cbrt-unprod`
87×	`pow-prod-down`
40×	`associate-*l/`
38×	`pow-prod-up`
35×	`cbrt-undiv` `div-exp`
19×	`pow-plus`
17×	`add-sqr-sqrt`
16×	`pow-sqr`
15×	`associate-l`
12×	`*-un-lft-identity` `add-cube-cbrt`
11×	`frac-times`
10×	`times-frac`
7×	`cbrt-div` `associate-*r/`
5×	`associate-r`
4×	`pow2` `expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`pow3` `unswap-sqr`
1×	`cbrt-prod` `pow1/3` `swap-sqr` `rem-cbrt-cube` `div-inv`

Counts

4 → 229

Calls

4 calls:

10.0ms	(* (/ -1/2 b) c)
221.0ms	(* (* (* (/ -1/2 b) c) (* (/ -1/2 b) c)) (* (/ -1/2 b) c))
59.0ms	(* (* (/ -1/2 b) c) (* (/ -1/2 b) c))
178.0ms	(cbrt (* (* (* (/ -1/2 b) c) (* (/ -1/2 b) c)) (* (/ -1/2 b) c)))

series214.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (/ -1/2 b) c)
76.0ms	(* (* (* (/ -1/2 b) c) (* (/ -1/2 b) c)) (* (/ -1/2 b) c))
44.0ms	(* (* (/ -1/2 b) c) (* (/ -1/2 b) c))
76.0ms	(cbrt (* (* (* (/ -1/2 b) c) (* (/ -1/2 b) c)) (* (/ -1/2 b) c)))

simplify882.0ms

Counts

241 → 241

Iterations

Iter	Nodes
2	2148
1	540
0	218

prune1.7s

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 2.2b

regimes443.0ms

Accuracy

0% (3.5b remaining)

Error of 6.2b against oracle of 2.7b and baseline of 6.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	6
1	6
0	5

end0.0ms

sample6.4s

Algorithm

intervals

Results

2.0s	16124×	pre	80	true
1.6s	3651×	body	320	valid
1.2s	8124×	body	80	nan
743.0ms	2897×	body	160	valid
329.0ms	529×	body	640	valid
111.0ms	923×	body	80	valid