Details

sample439.0ms

Algorithm

intervals

Results

278.0ms	123×	body	1280	valid
67.0ms	63×	body	640	valid
26.0ms	256×	pre	80	true
20.0ms	27×	body	320	valid
7.0ms	30×	body	80	valid
7.0ms	13×	body	160	valid

simplify1.3s

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.1b

localize23.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ x (- (tan (+ y z)) (tan a)))
0.1b	(- (tan (+ y z)) (tan a))
1.9b	(tan (+ y z))

rewrite45.0ms

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:

11.0ms	(+ x (- (tan (+ y z)) (tan a)))
24.0ms	(- (tan (+ y z)) (tan a))
10.0ms	(tan (+ y z))

series478.0ms

Counts

3 → 9

Calls

3 calls:

205.0ms	(+ x (- (tan (+ y z)) (tan a)))
184.0ms	(- (tan (+ y z)) (tan a))
89.0ms	(tan (+ y z))

simplify2.3s

Counts

54 → 54

Iterations

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

prune787.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize36.0ms

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))))
0.1b	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
0.3b	(* (tan y) (tan z))

rewrite140.0ms

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:

8.0ms	(+ (tan y) (tan z))
24.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
92.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
14.0ms	(* (tan y) (tan z))

series1.2s

Counts

4 → 12

Calls

4 calls:

133.0ms	(+ (tan y) (tan z))
365.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
585.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
127.0ms	(* (tan y) (tan z))

simplify1.2s

Counts

102 → 102

Iterations

Iter	Nodes
3	3547
2	1096
1	401
0	178

prune1.6s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cos y) (cos z))
0.1b	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin z) (sin y)) (* (cos y) (cos z))))) (tan a))
0.2b	(* (sin z) (sin y))
0.3b	(/ (* (sin z) (sin y)) (* (cos y) (cos z)))

rewrite388.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-cbrt-cube` `add-exp-log`
17×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
8×	`pow1` `add-cube-cbrt`
6×	`associate-r` `associate-l` `prod-exp` `cbrt-unprod` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `insert-posit16`
2×	`times-frac` `pow-prod-down` `cos-mult` `*-commutative` `sin-mult` `difference-of-squares` `unswap-sqr`
1×	`clear-num` `associate-/r` `sub-neg` `frac-2neg` `flip3--` `diff-log` `tan-quot` `associate-/r/` `frac-sub` `div-inv` `flip--` `associate-/l` `distribute-lft-out--` `associate-/l/`

Counts

4 → 81

Calls

4 calls:

19.0ms	(* (cos y) (cos z))
328.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin z) (sin y)) (* (cos y) (cos z))))) (tan a))
11.0ms	(* (sin z) (sin y))
27.0ms	(/ (* (sin z) (sin y)) (* (cos y) (cos z)))

series922.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (cos y) (cos z))
637.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin z) (sin y)) (* (cos y) (cos z))))) (tan a))
83.0ms	(* (sin z) (sin y))
137.0ms	(/ (* (sin z) (sin y)) (* (cos y) (cos z)))

simplify1.1m

Counts

93 → 93

Iterations

Iter	Nodes
3	13497
2	1610
1	410
0	173

prune1.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
38×	`times-frac`
36×	`*-un-lft-identity` `add-cube-cbrt`
26×	`associate-r`
18×	`add-cbrt-cube` `add-exp-log`
8×	`pow1`
6×	`associate-/r` `associate-l` `associate-/l`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `insert-posit16` `div-inv` `add-log-exp` `unswap-sqr`
2×	`quot-tan` `clear-num` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative`

Counts

4 → 124

Calls

4 calls:

8.0ms	(/ (sin a) (cos a))
14.0ms	(* (sin y) (/ (sin z) (cos z)))
20.0ms	(* (sin y) (/ (sin z) (cos z)))
8.0ms	(/ (sin y) (cos y))

series215.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ (sin a) (cos a))
86.0ms	(* (sin y) (/ (sin z) (cos z)))
87.0ms	(* (sin y) (/ (sin z) (cos z)))
21.0ms	(/ (sin y) (cos y))

simplify1.9s

Counts

136 → 136

Iterations

Iter	Nodes
3	3613
2	1220
1	412
0	189

prune1.8s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes763.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	24
1	24
0	20

end0.0ms

sample10.3s

Algorithm

intervals

Results

6.1s	3915×	body	1280	valid
1.9s	1991×	body	640	valid
894.0ms	8000×	pre	80	true
698.0ms	696×	body	320	valid
244.0ms	1124×	body	80	valid
148.0ms	274×	body	160	valid