Details

sample445.0ms

Algorithm

intervals

Results

265.0ms	129×	body	1280	valid
65.0ms	56×	body	640	valid
45.0ms	256×	pre	80	true
16.0ms	21×	body	320	valid
10.0ms	39×	body	80	valid
7.0ms	11×	body	160	valid

simplify1.0s

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.8b

localize31.0ms

Local error

Found 3 expressions with local error:

0.2b	(+ x (- (tan (+ y z)) (tan a)))
0.2b	(- (tan (+ y z)) (tan a))
3.2b	(tan (+ y z))

rewrite51.0ms

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:

24.0ms	(+ x (- (tan (+ y z)) (tan a)))
16.0ms	(- (tan (+ y z)) (tan a))
10.0ms	(tan (+ y z))

series451.0ms

Counts

3 → 9

Calls

3 calls:

178.0ms	(+ x (- (tan (+ y z)) (tan a)))
189.0ms	(- (tan (+ y z)) (tan a))
84.0ms	(tan (+ y z))

simplify847.0ms

Counts

84 → 84

Iterations

Iter	Nodes
3	2061
2	649
1	284
0	131

prune811.0ms

Pruning

10 alts after pruning (10 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))))
0.2b	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
0.2b	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
0.2b	(* (tan y) (tan z))

rewrite359.0ms

Algorithm

rewrite-expression-head

Rules

165×	`*-un-lft-identity`
115×	`add-sqr-sqrt`
108×	`prod-diff` `add-cube-cbrt`
97×	`times-frac`
56×	`associate-+r+`
27×	`distribute-lft-out`
18×	`fma-neg`
16×	`associate-/r/`
11×	`add-log-exp`
9×	`flip3--` `flip--`
8×	`add-cbrt-cube` `add-exp-log` `div-inv`
7×	`tan-quot`
6×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `associate-/l*`
3×	`associate-/r` `fma-def` `associate-r` `associate-l*` `associate-/l/`
2×	`sum-log` `sub-neg` `flip3-+` `diff-log` `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` `unswap-sqr`

Counts

4 → 231

Calls

4 calls:

30.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
159.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
137.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
24.0ms	(* (tan y) (tan z))

series1.6s

Counts

4 → 12

Calls

4 calls:

352.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
476.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
618.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
146.0ms	(* (tan y) (tan z))

simplify3.8s

Counts

243 → 243

Iterations

Iter	Nodes
3	5745
2	1792
1	715
0	308

prune1.9s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize78.0ms

Local error

Found 4 expressions with local error:

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

rewrite237.0ms

Algorithm

rewrite-expression-head

Rules

86×	`pow1`
72×	`tan-quot`
36×	`frac-times` `pow-prod-down`
32×	`add-cbrt-cube` `add-exp-log`
24×	`associate-l/` `associate-r/`
18×	`prod-exp` `cbrt-unprod`
12×	`add-sqr-sqrt`
8×	`-un-lft-identity` `associate-r` `associate-l*` `pow-sqr` `pow-prod-up` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow-plus` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `swap-sqr` `unswap-sqr`

Counts

4 → 152

Calls

4 calls:

26.0ms	(* (tan y) (tan z))
21.0ms	(* (tan y) (tan z))
98.0ms	(* (* (tan y) (tan z)) (* (tan y) (tan z)))
89.0ms	(* (* (tan y) (tan z)) (* (tan y) (tan z)))

series577.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(* (tan y) (tan z))
126.0ms	(* (tan y) (tan z))
148.0ms	(* (* (tan y) (tan z)) (* (tan y) (tan z)))
156.0ms	(* (* (tan y) (tan z)) (* (tan y) (tan z)))

simplify2.6s

Counts

164 → 164

Iterations

Iter	Nodes
3	5774
2	1292
1	329
0	122

prune2.0s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize76.0ms

Local error

Found 4 expressions with local error:

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

rewrite475.0ms

Algorithm

rewrite-expression-head

Rules

321×	`*-un-lft-identity`
237×	`add-sqr-sqrt`
180×	`prod-diff`
172×	`times-frac`
146×	`add-cube-cbrt`
92×	`associate-+r+`
58×	`difference-of-squares`
44×	`distribute-lft-out`
30×	`fma-neg` `distribute-lft-out--`
14×	`associate-/r/`
11×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
8×	`flip3--` `div-inv` `flip--`
6×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r` `fma-def` `associate-r` `associate-l*` `tan-quot`
2×	`cbrt-undiv` `sum-log` `sub-neg` `diff-log` `div-exp` `prod-exp` `associate-*r/` `cbrt-unprod`
1×	`+-commutative` `clear-num` `associate-+r-` `frac-2neg` `flip3-+` `pow-prod-down` `-commutative` `frac-sub` `flip-+` `associate-/l` `unswap-sqr` `associate-/l/`

Counts

4 → 299

Calls

4 calls:

236.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (tan z)) (cos y)))) (tan a)))
185.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (tan z)) (cos y)))) (tan a))
29.0ms	(/ (* (sin y) (tan z)) (cos y))
14.0ms	(* (sin y) (tan z))

series1.3s

Counts

4 → 12

Calls

4 calls:

490.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (tan z)) (cos y)))) (tan a)))
522.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (tan z)) (cos y)))) (tan a))
153.0ms	(/ (* (sin y) (tan z)) (cos y))
100.0ms	(* (sin y) (tan z))

simplify839.0ms

Counts

311 → 311

Iterations

Iter	Nodes
2	2034
1	824
0	367

prune2.8s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes604.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
2	20
1	20
0	17

end0.0ms

sample14.5s

Algorithm

intervals

Results

7.3s	3872×	body	1280	valid
4.4s	1966×	body	640	valid
1.0s	8000×	pre	80	true
673.0ms	722×	body	320	valid
388.0ms	1170×	body	80	valid
140.0ms	270×	body	160	valid