Details

sample500.0ms

Algorithm

intervals

Results

324.0ms	137×	body	1280	valid
75.0ms	53×	body	640	valid
30.0ms	256×	pre	80	true
17.0ms	19×	body	320	valid
11.0ms	37×	body	80	valid
7.0ms	10×	body	160	valid

simplify991.0ms

Counts

1 → 1

Iterations

Iter	Nodes
34	2015
33	1949
32	1871
31	1805
30	1727
29	1661
28	1583
27	1517
26	1439
25	1373
24	1295
23	1229
22	1151
21	1085
20	1007
19	941
18	863
17	797
16	719
15	653
14	575
13	510
12	430
11	354
10	254
9	186
8	103
7	71
6	61
5	46
4	35
3	29
2	22
1	15
0	9

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ x (- (tan (+ y z)) (tan a)))
0.2b	(- (tan (+ y z)) (tan a))
3.7b	(tan (+ y z))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity` `add-log-exp`
5×	`add-sqr-sqrt`
4×	`tan-quot`
3×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16`
2×	`tan-sum` `associate-+r+` `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 → 45

Calls

3 calls:

10.0ms	(+ x (- (tan (+ y z)) (tan a)))
14.0ms	(- (tan (+ y z)) (tan a))
10.0ms	(tan (+ y z))

series409.0ms

Counts

3 → 9

Calls

3 calls:

174.0ms	(+ x (- (tan (+ y z)) (tan a)))
157.0ms	(- (tan (+ y z)) (tan a))
78.0ms	(tan (+ y z))

simplify2.6s

Counts

54 → 54

Iterations

Iter	Nodes
4	6132
3	1497
2	470
1	198
0	94

prune658.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
0.1b	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
0.1b	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
0.2b	(* (tan y) (tan z))

rewrite298.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
13×	`times-frac`
11×	`add-log-exp`
8×	`add-cbrt-cube` `add-exp-log`
7×	`tan-quot`
6×	`pow1` `distribute-lft-out`
4×	`insert-posit16` `associate-/l*`
3×	`associate-/r` `associate-r` `associate-l*` `associate-/l/`
2×	`associate-+r+` `sum-log` `sub-neg` `flip3-+` `flip3--` `diff-log` `associate-/r/` `flip-+` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`frac-times` `cbrt-undiv` `+-commutative` `clear-num` `associate-+r-` `frac-2neg` `div-exp` `pow-prod-down` `associate-l/` `frac-add` `prod-exp` `associate-r/` `*-commutative` `frac-sub` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 94

Calls

4 calls:

49.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
154.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
56.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
36.0ms	(* (tan y) (tan z))

series1.5s

Counts

4 → 12

Calls

4 calls:

260.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
568.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
576.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
133.0ms	(* (tan y) (tan z))

simplify1.8s

Counts

106 → 106

Iterations

Iter	Nodes
3	4224
2	1247
1	455
0	193

prune1.5s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize55.0ms

Local error

Found 4 expressions with local error:

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

rewrite154.0ms

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×	`pow-sqr` `*-commutative` `pow-prod-up` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
2×	`pow-plus`
1×	`pow2` `swap-sqr`

Counts

4 → 116

Calls

4 calls:

29.0ms	(* (tan y) (tan z))
17.0ms	(* (tan y) (tan z))
17.0ms	(* (tan y) (tan z))
88.0ms	(* (* (tan y) (tan z)) (* (tan y) (tan z)))

series512.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(* (tan y) (tan z))
125.0ms	(* (tan y) (tan z))
118.0ms	(* (tan y) (tan z))
164.0ms	(* (* (tan y) (tan z)) (* (tan y) (tan z)))

simplify3.1s

Counts

128 → 128

Iterations

Iter	Nodes
3	5330
2	1220
1	318
0	118

prune2.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize93.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (tan y) (tan z))
0.2b	(* (tan y) (tan z))
0.2b	(* (* (tan y) (tan z)) (* (sin y) (sin z)))
0.2b	(/ (* (* (tan y) (tan z)) (* (sin y) (sin z))) (* (cos y) (cos z)))

rewrite242.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-cbrt-cube` `add-exp-log`
31×	`prod-exp` `cbrt-unprod`
24×	`tan-quot`
20×	`pow1`
12×	`add-sqr-sqrt` `frac-times` `associate-*l/`
10×	`cbrt-undiv` `div-exp` `pow-prod-down`
8×	`-un-lft-identity` `associate-r/` `add-cube-cbrt` `sin-mult`
7×	`associate-r` `associate-l` `associate-/l/`
4×	`insert-posit16` `add-log-exp`
3×	`*-commutative`
2×	`unswap-sqr`
1×	`clear-num` `associate-/r` `frac-2neg` `times-frac` `associate-/r/` `cos-mult` `div-inv` `associate-/l`

Counts

4 → 116

Calls

4 calls:

28.0ms	(* (tan y) (tan z))
27.0ms	(* (tan y) (tan z))
96.0ms	(* (* (tan y) (tan z)) (* (sin y) (sin z)))
87.0ms	(/ (* (* (tan y) (tan z)) (* (sin y) (sin z))) (* (cos y) (cos z)))

series730.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(* (tan y) (tan z))
132.0ms	(* (tan y) (tan z))
228.0ms	(* (* (tan y) (tan z)) (* (sin y) (sin z)))
257.0ms	(/ (* (* (tan y) (tan z)) (* (sin y) (sin z))) (* (cos y) (cos z)))

simplify1.1s

Counts

128 → 128

Iterations

Iter	Nodes
2	3466
1	522
0	180

prune2.5s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

regimes414.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
2	32
1	32
0	24

end0.0ms

sample11.9s

Algorithm

intervals

Results

7.4s	3846×	body	1280	valid
2.4s	2022×	body	640	valid
775.0ms	8000×	pre	80	true
544.0ms	701×	body	320	valid
308.0ms	1156×	body	80	valid
182.0ms	275×	body	160	valid