Details

sample464.0ms

Algorithm

intervals

Results

88.0ms	234×	body	80	nan
59.0ms	123×	body	320	valid
59.0ms	82×	body	160	valid
40.0ms	20×	body	640	valid
36.0ms	490×	pre	80	true
5.0ms	31×	body	80	valid

simplify152.0ms

Counts

1 → 1

Iterations

Iter	Nodes
8	98
7	98
6	97
5	95
4	87
3	70
2	43
1	24
0	14

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.1b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- (* b b) (* (* c a) 4)))
0.1b	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
0.1b	(- (* b b) (* (* c a) 4))
25.1b	(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
18×	`times-frac`
16×	`add-cube-cbrt`
10×	`difference-of-squares`
8×	`sqrt-prod` `add-log-exp`
6×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
5×	`pow1` `distribute-lft-out--`
4×	`flip3--` `insert-posit16` `flip--`
3×	`associate-/r*`
2×	`sub-neg` `sqrt-div` `diff-log` `associate-/l/`
1×	`cbrt-undiv` `rem-sqrt-square` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `div-sub` `div-exp` `div-inv`

Counts

4 → 88

Calls

4 calls:

8.0ms	(sqrt (- (* b b) (* (* c a) 4)))
77.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
13.0ms	(- (* b b) (* (* c a) 4))
73.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)

series472.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(sqrt (- (* b b) (* (* c a) 4)))
165.0ms	(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
68.0ms	(- (* b b) (* (* c a) 4))
146.0ms	(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify1.6s

Counts

100 → 100

Iterations

Iter	Nodes
3	3590
2	1095
1	398
0	161

prune1.1s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 2.3b

localize17.0ms

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

prune72.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 2.3b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-cbrt-cube` `add-exp-log`
8×	`cbrt-undiv` `div-exp`
6×	`add-sqr-sqrt` `associate-/r` `-un-lft-identity` `times-frac` `add-cube-cbrt`
5×	`prod-exp` `cbrt-unprod`
2×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `div-inv` `associate-/l*` `add-log-exp`
1×	`associate-*r/` `associate-/l/`

Counts

2 → 49

Calls

2 calls:

9.0ms	(/ (* a c) b)
19.0ms	(/ (* -2 (/ (* a c) b)) a)

series57.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ (* a c) b)
22.0ms	(/ (* -2 (/ (* a c) b)) a)

simplify3.3s

Counts

55 → 55

Iterations

Iter	Nodes
3	6821
2	1066
1	263
0	99

prune571.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 2.3b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite690.0ms

Algorithm

rewrite-expression-head

Rules

2944×	`add-exp-log`
1720×	`prod-exp`
1141×	`div-exp`
1139×	`add-cbrt-cube`
628×	`cbrt-unprod`
348×	`cbrt-undiv`
326×	`1-exp`
276×	`frac-times`
200×	`pow1`
162×	`associate-*l/`
138×	`associate-*r/`
87×	`pow-prod-down`
63×	`cbrt-div`
38×	`pow-prod-up`
35×	`add-sqr-sqrt`
25×	`times-frac`
20×	`*-un-lft-identity`
19×	`pow-plus`
18×	`add-cube-cbrt`
16×	`pow-sqr`
15×	`associate-r` `associate-l`
6×	`unswap-sqr`
4×	`pow2` `insert-posit16` `add-log-exp`
3×	`*-commutative`
2×	`pow3` `div-inv`
1×	`cbrt-prod` `pow1/3` `swap-sqr` `rem-cbrt-cube`

Counts

4 → 843

Calls

4 calls:

15.0ms	(* (/ -2 b) (/ c 1))
292.0ms	(* (* (* (/ -2 b) (/ c 1)) (* (/ -2 b) (/ c 1))) (* (/ -2 b) (/ c 1)))
87.0ms	(* (* (/ -2 b) (/ c 1)) (* (/ -2 b) (/ c 1)))
231.0ms	(cbrt (* (* (* (/ -2 b) (/ c 1)) (* (/ -2 b) (/ c 1))) (* (/ -2 b) (/ c 1))))

series321.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (/ -2 b) (/ c 1))
116.0ms	(* (* (* (/ -2 b) (/ c 1)) (* (/ -2 b) (/ c 1))) (* (/ -2 b) (/ c 1)))
68.0ms	(* (* (/ -2 b) (/ c 1)) (* (/ -2 b) (/ c 1)))
112.0ms	(cbrt (* (* (* (/ -2 b) (/ c 1)) (* (/ -2 b) (/ c 1))) (* (/ -2 b) (/ c 1))))

simplify4.7s

Counts

855 → 855

Iterations

Iter	Nodes
1	2490
0	917

prune7.4s

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 2.3b

regimes513.0ms

Accuracy

0% (3.6b remaining)

Error of 6.3b against oracle of 2.7b and baseline of 6.3b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	8
1	8
0	7

end0.0ms

sample7.0s

Algorithm

intervals

Results

2.0s	3644×	body	320	valid
1.5s	16149×	pre	80	true
1.2s	8149×	body	80	nan
878.0ms	2909×	body	160	valid
529.0ms	923×	body	80	valid
327.0ms	524×	body	640	valid