Details

sample516.0ms

Algorithm

intervals

Results

302.0ms	118×	body	1280	valid
101.0ms	60×	body	640	valid
32.0ms	256×	pre	80	true
24.0ms	25×	body	320	valid
12.0ms	40×	body	80	valid
10.0ms	13×	body	160	valid

simplify3.2s

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.6b

localize17.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ x (- (tan (+ y z)) (tan a)))
0.2b	(- (tan (+ y z)) (tan a))
5.2b	(tan (+ y z))

rewrite37.0ms

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:

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

series395.0ms

Counts

3 → 9

Calls

3 calls:

173.0ms	(+ x (- (tan (+ y z)) (tan a)))
151.0ms	(- (tan (+ y z)) (tan a))
72.0ms	(tan (+ y z))

simplify2.1s

Counts

54 → 54

Iterations

Iter	Nodes
4	6133
3	1511
2	472
1	200
0	94

prune764.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize40.0ms

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

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

9.0ms	(+ (tan y) (tan z))
106.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
66.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
14.0ms	(* (tan y) (tan z))

series1.3s

Counts

4 → 12

Calls

4 calls:

159.0ms	(+ (tan y) (tan z))
508.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
540.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
133.0ms	(* (tan y) (tan z))

simplify1.0s

Counts

83 → 83

Iterations

Iter	Nodes
3	3332
2	1020
1	379
0	159

prune1.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize37.0ms

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

rewrite317.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

178.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (/ (* (tan y) (sin z)) (cos z)))) (tan a)))
15.0ms	(/ (* (tan y) (sin z)) (cos z))
108.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (tan y) (sin z)) (cos z)))) (tan a))
15.0ms	(* (tan y) (sin z))

series1.2s

Counts

4 → 12

Calls

4 calls:

461.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (/ (* (tan y) (sin z)) (cos z)))) (tan a)))
127.0ms	(/ (* (tan y) (sin z)) (cos z))
511.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (tan y) (sin z)) (cos z)))) (tan a))
105.0ms	(* (tan y) (sin z))

simplify1.3s

Counts

90 → 90

Iterations

Iter	Nodes
3	4720
2	1154
1	403
0	170

prune1.3s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize50.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* (tan y) (sin z)) (cos z))
0.2b	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (tan y) (sin z)) (cos z)))) (tan a))
0.2b	(* (tan y) (sin z))
2.5b	(exp (+ x (- (/ (+ (tan y) (tan z)) (- 1 (/ (* (tan y) (sin z)) (cos z)))) (tan a))))

rewrite755.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

15.0ms	(/ (* (tan y) (sin z)) (cos z))
108.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (tan y) (sin z)) (cos z)))) (tan a))
12.0ms	(* (tan y) (sin z))
619.0ms	(exp (+ x (- (/ (+ (tan y) (tan z)) (- 1 (/ (* (tan y) (sin z)) (cos z)))) (tan a))))

series1.3s

Counts

4 → 12

Calls

4 calls:

140.0ms	(/ (* (tan y) (sin z)) (cos z))
540.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (tan y) (sin z)) (cos z)))) (tan a))
89.0ms	(* (tan y) (sin z))
580.0ms	(exp (+ x (- (/ (+ (tan y) (tan z)) (- 1 (/ (* (tan y) (sin z)) (cos z)))) (tan a))))

simplify1.3s

Counts

90 → 90

Iterations

Iter	Nodes
3	4181
2	1047
1	376
0	169

prune1.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

regimes403.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	23
1	23
0	19

end0.0ms

sample13.1s

Algorithm

intervals

Results

7.7s	3863×	body	1280	valid
2.6s	2023×	body	640	valid
1.2s	8000×	pre	80	true
845.0ms	710×	body	320	valid
269.0ms	1128×	body	80	valid
162.0ms	276×	body	160	valid