Details

sample444.0ms

Algorithm

intervals

Results

259.0ms	111×	body	1280	valid
91.0ms	73×	body	640	valid
25.0ms	256×	pre	80	true
21.0ms	28×	body	320	valid
9.0ms	36×	body	80	valid
3.0ms	8×	body	160	valid

simplify825.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.4b

localize23.0ms

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))

rewrite49.0ms

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:

19.0ms	(+ x (- (tan (+ y z)) (tan a)))
21.0ms	(- (tan (+ y z)) (tan a))
5.0ms	(tan (+ y z))

series417.0ms

Counts

3 → 9

Calls

3 calls:

168.0ms	(+ x (- (tan (+ y z)) (tan a)))
189.0ms	(- (tan (+ y z)) (tan a))
59.0ms	(tan (+ y z))

simplify2.1s

Counts

54 → 54

Iterations

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

prune364.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

12.0ms	(+ (tan y) (tan z))
25.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
76.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
27.0ms	(* (tan y) (tan z))

series1.2s

Counts

4 → 12

Calls

4 calls:

151.0ms	(+ (tan y) (tan z))
302.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
599.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
147.0ms	(* (tan y) (tan z))

simplify1.2s

Counts

102 → 102

Iterations

Iter	Nodes
3	3547
2	1096
1	401
0	178

prune638.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize106.0ms

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)))

rewrite239.0ms

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

Counts

4 → 144

Calls

4 calls:

27.0ms	(* (tan y) (tan z))
13.0ms	(* (tan y) (tan z))
103.0ms	(* (* (tan y) (tan z)) (* (tan y) (tan z)))
90.0ms	(* (* (tan y) (tan z)) (* (tan y) (tan z)))

series554.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(* (tan y) (tan z))
119.0ms	(* (tan y) (tan z))
137.0ms	(* (* (tan y) (tan z)) (* (tan y) (tan z)))
160.0ms	(* (* (tan y) (tan z)) (* (tan y) (tan z)))

simplify2.6s

Counts

156 → 156

Iterations

Iter	Nodes
3	5330
2	1220
1	318
0	118

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize88.0ms

Local error

Found 4 expressions with local error:

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

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

91×	`pow1`
37×	`tan-quot`
36×	`pow-prod-down`
32×	`add-cbrt-cube` `add-exp-log`
18×	`frac-times` `prod-exp` `cbrt-unprod`
17×	`associate-*l/`
14×	`add-sqr-sqrt`
12×	`associate-*r/`
10×	`*-un-lft-identity` `add-cube-cbrt`
9×	`pow-sqr` `pow-prod-up`
8×	`associate-r` `associate-l`
5×	`pow-plus` `swap-sqr`
4×	`*-commutative` `insert-posit16` `add-log-exp`
3×	`pow2`
2×	`unswap-sqr`
1×	`sqr-cos` `cos-mult`

Counts

4 → 136

Calls

4 calls:

13.0ms	(* (tan y) (sin z))
9.0ms	(* (cos z) (cos z))
79.0ms	(* (* (tan y) (tan z)) (* (tan y) (tan z)))
68.0ms	(* (* (tan y) (sin z)) (* (tan y) (sin z)))

series323.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* (tan y) (sin z))
17.0ms	(* (cos z) (cos z))
134.0ms	(* (* (tan y) (tan z)) (* (tan y) (tan z)))
93.0ms	(* (* (tan y) (sin z)) (* (tan y) (sin z)))

simplify4.4s

Counts

148 → 148

Iterations

Iter	Nodes
3	6806
2	1822
1	505
0	183

prune934.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes996.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
2	37
1	37
0	27

end0.0ms

sample12.0s

Algorithm

intervals

Results

6.9s	3865×	body	1280	valid
2.1s	1989×	body	640	valid
999.0ms	8000×	pre	80	true
899.0ms	675×	body	320	valid
459.0ms	271×	body	160	valid
332.0ms	1200×	body	80	valid