Details

sample141.0ms

Algorithm

intervals

Results

33.0ms	51×	body	320	valid
28.0ms	142×	body	160	valid
27.0ms	276×	body	80	nan
23.0ms	532×	pre	80	true
7.0ms	63×	body	80	valid

simplify145.0ms

Counts

1 → 1

Iterations

Iter	Nodes
8	105
7	105
6	104
5	102
4	94
3	77
2	44
1	25
0	14

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 44.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (- (* b b) (* (* 4 a) c)))
0.1b	(- (* b b) (* (* 4 a) c))
0.1b	(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
38.8b	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

12.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
10.0ms	(- (* b b) (* (* 4 a) c))
77.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
36.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))

series430.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(sqrt (- (* b b) (* (* 4 a) c)))
61.0ms	(- (* b b) (* (* 4 a) c))
161.0ms	(/ (+ (- b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a))
102.0ms	(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))

simplify2.4s

Counts

106 → 106

Iterations

Iter	Nodes
3	4871
2	1355
1	432
0	166

prune1.2s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.2b

localize11.0ms

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

prune77.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 5.2b

localize18.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ (* a c) b)
0.2b	(/ (* -2 (/ (* a c) b)) (* 2 a))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-cbrt-cube` `add-exp-log`
14×	`cbrt-undiv` `div-exp`
13×	`prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `associate-/r` `-un-lft-identity` `times-frac` `add-cube-cbrt`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`
1×	`associate-*r/` `associate-/l/`

Counts

2 → 57

Calls

2 calls:

9.0ms	(/ (* a c) b)
18.0ms	(/ (* -2 (/ (* a c) b)) (* 2 a))

series66.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ (* a c) b)
29.0ms	(/ (* -2 (/ (* a c) b)) (* 2 a))

simplify19.8s

Counts

63 → 63

Iterations

Iter	Nodes
3	14573
2	1604
1	335
0	113

prune521.0ms

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 5.1b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b	(log1p (/ (* a c) b))
0.2b	(/ (* a c) b)
0.2b	(/ (* -2 (expm1 (log1p (/ (* a c) b)))) (* 2 a))
0.3b	(expm1 (log1p (/ (* a c) b)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-cbrt-cube` `add-exp-log`
6×	`add-sqr-sqrt` `cbrt-undiv` `*-un-lft-identity` `div-exp` `add-cube-cbrt`
5×	`expm1-log1p-u` `prod-exp` `cbrt-unprod`
4×	`pow1` `associate-/r*` `times-frac` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `div-inv` `associate-/l*`
1×	`log1p-udef` `expm1-log1p` `log1p-expm1` `expm1-udef`

Counts

4 → 72

Calls

4 calls:

0.0ms	(log1p (/ (* a c) b))
13.0ms	(/ (* a c) b)
14.0ms	(/ (* -2 (expm1 (log1p (/ (* a c) b)))) (* 2 a))
1.0ms	(expm1 (log1p (/ (* a c) b)))

series367.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(log1p (/ (* a c) b))
22.0ms	(/ (* a c) b)
117.0ms	(/ (* -2 (expm1 (log1p (/ (* a c) b)))) (* 2 a))
141.0ms	(expm1 (log1p (/ (* a c) b)))

simplify12.3s

Counts

84 → 84

Iterations

Iter	Nodes
3	10814
2	1392
1	355
0	146

prune621.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 5.1b

regimes552.0ms

Accuracy

29.3% (5.0b remaining)

Error of 10.3b against oracle of 5.3b and baseline of 12.4b

bsearch5.0ms

simplify12.0ms

Iterations

Iter	Nodes
2	48
1	48
0	36

end0.0ms

sample5.0s

Algorithm

intervals

Results

1.6s	4853×	body	160	valid
1.1s	8356×	body	80	nan
1.0s	16356×	pre	80	true
540.0ms	1341×	body	320	valid
228.0ms	1806×	body	80	valid