Details

sample167.0ms

Algorithm

intervals

Results

48.0ms	554×	pre	80	true
28.0ms	114×	body	320	valid
24.0ms	298×	body	80	nan
16.0ms	88×	body	160	valid
8.0ms	23×	body	640	valid
3.0ms	31×	body	80	valid

simplify231.0ms

Counts

1 → 1

Iterations

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

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.5b

localize53.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* b b) (* (* a 3.0) c))
0.2b	(/ (- (sqrt (- (* b b) (* (* a 3.0) c))) b) (* a 3.0))
0.3b	(* (* a 3.0) c)
25.0b	(- (sqrt (- (* b b) (* (* a 3.0) c))) b)

rewrite348.0ms

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:

15.0ms	(- (* b b) (* (* a 3.0) c))
177.0ms	(/ (- (sqrt (- (* b b) (* (* a 3.0) c))) b) (* a 3.0))
39.0ms	(* (* a 3.0) c)
109.0ms	(- (sqrt (- (* b b) (* (* a 3.0) c))) b)

series509.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(- (* b b) (* (* a 3.0) c))
224.0ms	(/ (- (sqrt (- (* b b) (* (* a 3.0) c))) b) (* a 3.0))
43.0ms	(* (* a 3.0) c)
155.0ms	(- (sqrt (- (* b b) (* (* a 3.0) c))) b)

simplify3.5s

Counts

121 → 121

Iterations

Iter	Nodes
done	5002
2	1909
1	544
0	202

prune909.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 2.8b

localize13.0ms

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

prune127.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 2.8b

localize23.0ms

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))

rewrite123.0ms

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:

31.0ms	(/ (* a c) b)
38.0ms	(* -1.5 (/ (* a c) b))
48.0ms	(/ (* -1.5 (/ (* a c) b)) (* a 3.0))

series115.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ (* a c) b)
43.0ms	(* -1.5 (/ (* a c) b))
34.0ms	(/ (* -1.5 (/ (* a c) b)) (* a 3.0))

simplify2.7s

Counts

93 → 93

Iterations

Iter	Nodes
done	5085
2	2286
1	385
0	129

prune806.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 2.8b

localize49.0ms

Local error

Found 4 expressions with local error:

0.2b	(expm1 (log1p (/ (* a c) b)))
0.3b	(/ (* a c) b)
0.3b	(* -1.5 (expm1 (log1p (/ (* a c) b))))
0.4b	(/ (* -1.5 (expm1 (log1p (/ (* a c) b)))) (* a 3.0))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

1.0ms	(expm1 (log1p (/ (* a c) b)))
21.0ms	(/ (* a c) b)
14.0ms	(* -1.5 (expm1 (log1p (/ (* a c) b))))
34.0ms	(/ (* -1.5 (expm1 (log1p (/ (* a c) b)))) (* a 3.0))

series1.0s

Counts

4 → 12

Calls

4 calls:

179.0ms	(expm1 (log1p (/ (* a c) b)))
43.0ms	(/ (* a c) b)
183.0ms	(* -1.5 (expm1 (log1p (/ (* a c) b))))
627.0ms	(/ (* -1.5 (expm1 (log1p (/ (* a c) b)))) (* a 3.0))

simplify2.5s

Counts

89 → 89

Iterations

Iter	Nodes
done	5025
2	1799
1	386
0	154

prune741.0ms

Pruning

26 alts after pruning (25 fresh and 1 done)

Merged error: 2.8b

regimes959.0ms

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
done	6
1	6
0	5

end0.0ms

sample5.2s

Algorithm

intervals

Results

1.4s	3633×	body	320	valid
1.2s	2952×	body	160	valid
891.0ms	7881×	body	80	nan
668.0ms	15881×	pre	80	true
174.0ms	509×	body	640	valid
76.0ms	906×	body	80	valid