Details

sample967.0ms

Algorithm

intervals

Results

741.0ms	122×	body	1280	valid
110.0ms	60×	body	640	valid
33.0ms	256×	pre	80	true
21.0ms	23×	body	320	valid
14.0ms	45×	body	80	valid
4.0ms	6×	body	160	valid

simplify3.3s

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.8b

localize18.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ x (- (tan (+ y z)) (tan a)))
0.1b	(- (tan (+ y z)) (tan a))
2.9b	(tan (+ y z))

rewrite49.0ms

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:

28.0ms	(+ x (- (tan (+ y z)) (tan a)))
14.0ms	(- (tan (+ y z)) (tan a))
5.0ms	(tan (+ y z))

series509.0ms

Counts

3 → 9

Calls

3 calls:

204.0ms	(+ x (- (tan (+ y z)) (tan a)))
207.0ms	(- (tan (+ y z)) (tan a))
98.0ms	(tan (+ y z))

simplify723.0ms

Counts

84 → 84

Iterations

Iter	Nodes
3	2108
2	651
1	286
0	131

prune996.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize49.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (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))

rewrite265.0ms

Algorithm

rewrite-expression-head

Rules

151×	`*-un-lft-identity`
108×	`prod-diff`
107×	`add-sqr-sqrt`
100×	`add-cube-cbrt`
85×	`times-frac`
56×	`associate-+r+`
24×	`distribute-lft-out`
18×	`fma-neg`
14×	`associate-/r/`
13×	`add-log-exp`
8×	`flip3--` `flip--`
7×	`tan-quot` `div-inv`
6×	`pow1` `fma-def` `add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`sum-log` `associate-r` `associate-l`
2×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `flip-+` `distribute-lft-out--` `difference-of-squares`
1×	`frac-times` `associate-+r-` `pow-prod-down` `associate-l/` `frac-add` `prod-exp` `associate-r/` `*-commutative` `frac-sub` `cbrt-unprod` `unswap-sqr`

Counts

4 → 211

Calls

4 calls:

8.0ms	(+ (tan y) (tan z))
148.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
84.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
21.0ms	(* (tan y) (tan z))

series1.5s

Counts

4 → 12

Calls

4 calls:

168.0ms	(+ (tan y) (tan z))
564.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
621.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
125.0ms	(* (tan y) (tan z))

simplify2.6s

Counts

223 → 223

Iterations

Iter	Nodes
3	5104
2	1706
1	688
0	301

prune3.7s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize72.0ms

Local error

Found 4 expressions with local error:

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

rewrite484.0ms

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` `associate-*l/` `prod-exp` `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:

225.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (/ (* (tan y) (sin z)) (cos z)))) (tan a)))
184.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (tan y) (sin z)) (cos z)))) (tan a))
40.0ms	(/ (* (tan y) (sin z)) (cos z))
24.0ms	(* (tan y) (sin z))

series1.4s

Counts

4 → 12

Calls

4 calls:

538.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (/ (* (tan y) (sin z)) (cos z)))) (tan a)))
610.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (tan y) (sin z)) (cos z)))) (tan a))
149.0ms	(/ (* (tan y) (sin z)) (cos z))
94.0ms	(* (tan y) (sin z))

simplify3.4s

Counts

311 → 311

Iterations

Iter	Nodes
3	6797
2	1985
1	817
0	367

prune6.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite293.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
13×	`add-log-exp`
12×	`prod-diff`
8×	`tan-quot`
7×	`distribute-lft-out`
6×	`pow1` `fma-def` `add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `fma-neg` `insert-posit16` `log1p-expm1-u`
3×	`sum-log` `flip3-+` `associate-r` `associate-l` `flip-+`
2×	`+-commutative` `diff-log` `frac-sub` `distribute-lft-out--`
1×	`frac-times` `sub-neg` `flip3--` `pow-prod-down` `associate-l/` `frac-add` `prod-exp` `associate--l+` `associate-r/` `*-commutative` `cbrt-unprod` `flip--` `difference-of-squares` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

8.0ms	(+ (tan y) (tan z))
21.0ms	(+ x (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))))
231.0ms	(- (+ x (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))) (tan a))
31.0ms	(* (tan y) (tan z))

series1.1s

Counts

4 → 12

Calls

4 calls:

128.0ms	(+ (tan y) (tan z))
379.0ms	(+ x (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))))
498.0ms	(- (+ x (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))) (tan a))
112.0ms	(* (tan y) (tan z))

simplify2.0s

Counts

111 → 111

Iterations

Iter	Nodes
3	4865
2	1326
1	451
0	185

prune1.4s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes657.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
2	23
1	23
0	17

end0.0ms

sample14.2s

Algorithm

intervals

Results

9.1s	3882×	body	1280	valid
2.4s	2005×	body	640	valid
904.0ms	8000×	pre	80	true
685.0ms	701×	body	320	valid
415.0ms	1121×	body	80	valid
175.0ms	291×	body	160	valid