Details

sample427.0ms

Algorithm

intervals

Results

216.0ms	111×	body	1280	valid
114.0ms	73×	body	640	valid
27.0ms	256×	pre	80	true
26.0ms	28×	body	320	valid
9.0ms	36×	body	80	valid
4.0ms	8×	body	160	valid

simplify1.1s

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: 14.4b

localize37.0ms

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))

rewrite71.0ms

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)))
30.0ms	(- (tan (+ y z)) (tan a))
11.0ms	(tan (+ y z))

series472.0ms

Counts

3 → 9

Calls

3 calls:

211.0ms	(+ x (- (tan (+ y z)) (tan a)))
186.0ms	(- (tan (+ y z)) (tan a))
76.0ms	(tan (+ y z))

simplify761.0ms

Counts

84 → 84

Iterations

Iter	Nodes
3	2061
2	649
1	284
0	131

prune527.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize48.0ms

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))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

102×	`*-un-lft-identity`
73×	`add-sqr-sqrt`
66×	`add-cube-cbrt`
61×	`times-frac`
54×	`prod-diff`
18×	`fma-neg`
17×	`distribute-lft-out`
10×	`associate-/r/`
9×	`tan-quot`
8×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
6×	`pow1` `flip3--` `flip--`
5×	`div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `associate-/l*`
3×	`associate-/r` `fma-def` `associate-r` `associate-l*` `associate-/l/`
2×	`flip3-+` `frac-add` `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` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 173

Calls

4 calls:

8.0ms	(+ (tan y) (tan z))
50.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
80.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
23.0ms	(* (tan y) (tan z))

series1.2s

Counts

4 → 12

Calls

4 calls:

134.0ms	(+ (tan y) (tan z))
282.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
656.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
163.0ms	(* (tan y) (tan z))

simplify2.9s

Counts

185 → 185

Iterations

Iter	Nodes
3	4927
2	1587
1	585
0	248

prune1.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize85.0ms

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	(pow (* (tan y) (tan z)) 3)

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1`
44×	`tan-quot`
23×	`add-cbrt-cube` `add-exp-log`
20×	`frac-times` `pow-prod-down`
14×	`associate-l/` `associate-r/`
13×	`add-sqr-sqrt`
11×	`prod-exp` `cbrt-unprod`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `pow-sqr` `pow-prod-up` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cube-div` `pow-unpow` `*-commutative`
2×	`pow-pow` `pow-plus` `pow-exp` `rem-cube-cbrt` `unswap-sqr`
1×	`pow2` `cube-mult` `pow-to-exp` `unpow-prod-down` `unpow3` `cube-prod` `swap-sqr` `sqr-pow`

Counts

4 → 128

Calls

4 calls:

15.0ms	(* (tan y) (tan z))
18.0ms	(* (tan y) (tan z))
95.0ms	(* (* (tan y) (tan z)) (* (tan y) (tan z)))
24.0ms	(pow (* (tan y) (tan z)) 3)

series573.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* (tan y) (tan z))
127.0ms	(* (tan y) (tan z))
154.0ms	(* (* (tan y) (tan z)) (* (tan y) (tan z)))
159.0ms	(pow (* (tan y) (tan z)) 3)

simplify743.0ms

Counts

140 → 140

Iterations

Iter	Nodes
2	2195
1	497
0	165

prune1.3s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize67.0ms

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)))

rewrite215.0ms

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:

19.0ms	(* (tan y) (tan z))
15.0ms	(* (tan y) (tan z))
85.0ms	(* (* (tan y) (tan z)) (* (tan y) (tan z)))
94.0ms	(* (* (tan y) (tan z)) (* (tan y) (tan z)))

series550.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(* (tan y) (tan z))
125.0ms	(* (tan y) (tan z))
140.0ms	(* (* (tan y) (tan z)) (* (tan y) (tan z)))
158.0ms	(* (* (tan y) (tan z)) (* (tan y) (tan z)))

simplify2.5s

Counts

164 → 164

Iterations

Iter	Nodes
3	5774
2	1292
1	329
0	122

prune1.1s

Pruning

13 alts after pruning (11 fresh and 2 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

simplify7.0ms

Iterations

Iter	Nodes
2	37
1	37
0	27

end0.0ms

sample15.0s

Algorithm

intervals

Results

9.1s	3865×	body	1280	valid
3.4s	1989×	body	640	valid
870.0ms	8000×	pre	80	true
617.0ms	675×	body	320	valid
317.0ms	1200×	body	80	valid
216.0ms	271×	body	160	valid