Details

sample594.0ms

Algorithm

intervals

Results

318.0ms	140×	body	1280	valid
78.0ms	53×	body	640	valid
68.0ms	256×	pre	80	true
48.0ms	9×	body	160	valid
22.0ms	19×	body	320	valid
13.0ms	35×	body	80	valid

simplify7.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	4724
8	1354
7	446
6	193
5	89
4	39
3	33
2	22
1	15
0	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.6b

localize22.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ x (- (tan (+ y z)) (tan a)))
0.1b	(- (tan (+ y z)) (tan a))
2.5b	(tan (+ y z))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
18×	`prod-diff`
17×	`add-cube-cbrt`
11×	`associate-+r+`
10×	`add-log-exp`
4×	`tan-quot`
3×	`expm1-log1p-u` `pow1` `fma-def` `add-cbrt-cube` `fma-neg` `add-exp-log` `insert-posit16` `log1p-expm1-u`
2×	`tan-sum` `sum-log` `sub-neg` `diff-log` `frac-sub` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+r-` `flip3-+` `flip3--` `flip-+` `flip--` `difference-of-squares`

Counts

3 → 75

Calls

3 calls:

25.0ms	(+ x (- (tan (+ y z)) (tan a)))
22.0ms	(- (tan (+ y z)) (tan a))
6.0ms	(tan (+ y z))

series529.0ms

Counts

3 → 9

Calls

3 calls:

239.0ms	(+ x (- (tan (+ y z)) (tan a)))
189.0ms	(- (tan (+ y z)) (tan a))
101.0ms	(tan (+ y z))

simplify1.4s

Counts

84 → 84

Iterations

Iter	Nodes
done	5001
2	1004
1	287
0	131

prune549.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize51.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
0.1b	(- 1 (* (tan y) (tan z)))
0.1b	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
0.3b	(* (tan y) (tan z))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

101×	`*-un-lft-identity`
74×	`add-sqr-sqrt`
67×	`add-cube-cbrt`
61×	`times-frac`
57×	`prod-diff`
21×	`fma-neg`
16×	`distribute-lft-out`
10×	`associate-/r/`
8×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
7×	`flip3--` `tan-quot` `flip--`
6×	`pow1`
5×	`div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `associate-/l*`
3×	`associate-/r` `associate-r` `associate-l*` `associate-/l/`
2×	`sub-neg` `diff-log` `difference-of-squares`
1×	`frac-times` `cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `frac-add` `prod-exp` `associate-r/` `*-commutative` `frac-sub` `cbrt-unprod` `flip-+` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 175

Calls

4 calls:

66.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
10.0ms	(- 1 (* (tan y) (tan z)))
44.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
21.0ms	(* (tan y) (tan z))

series1.4s

Counts

4 → 12

Calls

4 calls:

683.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
171.0ms	(- 1 (* (tan y) (tan z)))
331.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
181.0ms	(* (tan y) (tan z))

simplify3.0s

Counts

187 → 187

Iterations

Iter	Nodes
done	5000
2	2610
1	608
0	252

prune1.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize70.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (tan y) (tan z)) (* (tan y) (tan z)))
0.3b	(* (tan y) (tan z))
0.3b	(* (tan y) (tan z))
0.3b	(* (tan y) (tan z))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

49×	`pow1`
44×	`tan-quot`
22×	`add-cbrt-cube` `add-exp-log`
20×	`frac-times` `pow-prod-down`
16×	`add-sqr-sqrt`
14×	`associate-l/` `associate-r/`
11×	`prod-exp` `cbrt-unprod`
10×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow-sqr` `*-commutative` `pow-prod-up` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`pow-plus`
1×	`pow2` `swap-sqr`

Counts

4 → 124

Calls

4 calls:

103.0ms	(* (* (tan y) (tan z)) (* (tan y) (tan z)))
31.0ms	(* (tan y) (tan z))
29.0ms	(* (tan y) (tan z))
30.0ms	(* (tan y) (tan z))

series519.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(* (* (tan y) (tan z)) (* (tan y) (tan z)))
133.0ms	(* (tan y) (tan z))
109.0ms	(* (tan y) (tan z))
126.0ms	(* (tan y) (tan z))

simplify1.3s

Counts

136 → 136

Iterations

Iter	Nodes
done	5000
2	1978
1	351
0	122

prune1.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize97.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (tan y) (sin z)) (* (tan y) (tan z)))
0.2b	(* (tan y) (sin z))
0.3b	(* (tan y) (tan z))
0.3b	(* (tan y) (tan z))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

22×	`pow1` `add-cbrt-cube` `add-exp-log`
21×	`tan-quot`
16×	`add-sqr-sqrt`
11×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`-un-lft-identity` `associate-r` `associate-l` `associate-l/` `add-cube-cbrt`
7×	`frac-times` `associate-*r/`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`

Counts

4 → 102

Calls

4 calls:

63.0ms	(* (* (tan y) (sin z)) (* (tan y) (tan z)))
25.0ms	(* (tan y) (sin z))
28.0ms	(* (tan y) (tan z))
30.0ms	(* (tan y) (tan z))

series530.0ms

Counts

4 → 12

Calls

4 calls:

205.0ms	(* (* (tan y) (sin z)) (* (tan y) (tan z)))
80.0ms	(* (tan y) (sin z))
127.0ms	(* (tan y) (tan z))
117.0ms	(* (tan y) (tan z))

simplify1.2s

Counts

114 → 114

Iterations

Iter	Nodes
done	5000
2	2010
1	348
0	132

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes1.3s

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	30
1	30
0	22

end0.0ms

sample15.2s

Algorithm

intervals

Results

9.2s	3893×	body	1280	valid
2.6s	2002×	body	640	valid
987.0ms	8000×	pre	80	true
827.0ms	1138×	body	80	valid
660.0ms	695×	body	320	valid
516.0ms	272×	body	160	valid