Details

sample180.0ms

Algorithm

intervals

Results

107.0ms	149×	body	1280	valid
25.0ms	50×	body	640	valid
10.0ms	256×	pre	80	true
4.0ms	15×	body	320	valid
4.0ms	17×	body	160	valid
2.0ms	25×	body	80	valid

simplify20.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	5
1	22	5
2	33	5
3	39	5
4	50	5
5	70	5
6	99	5
7	124	5
8	166	5
9	259	5
10	260	5
11	260	5
done	260	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.6b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ x (- (tan (+ y z)) (tan a)))
0.2b	(- (tan (+ y z)) (tan a))
2.9b	(tan (+ y z))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity` `add-log-exp`
5×	`add-sqr-sqrt`
4×	`tan-quot`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
2×	`sub-neg` `tan-sum` `associate-+r+` `diff-log` `sum-log` `frac-sub` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+r-` `flip3--` `flip3-+` `flip--` `flip-+` `difference-of-squares`

Counts

3 → 42

Calls

3 calls:

16.0ms	(+ x (- (tan (+ y z)) (tan a)))
22.0ms	(- (tan (+ y z)) (tan a))
7.0ms	(tan (+ y z))

series369.0ms

Counts

3 → 9

Calls

3 calls:

167.0ms	(+ x (- (tan (+ y z)) (tan a)))
140.0ms	(- (tan (+ y z)) (tan a))
62.0ms	(tan (+ y z))

simplify41.0ms

Counts

51 → 51

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	196	346
1	467	335
2	1316	334
3	5002	334
done	5002	334

prune159.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

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))
0.3b	(* (tan y) (tan z))

rewrite138.0ms

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

Counts

4 → 86

Calls

4 calls:

8.0ms	(+ (tan y) (tan z))
30.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
81.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
15.0ms	(* (tan y) (tan z))

series962.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(+ (tan y) (tan z))
258.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
475.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
117.0ms	(* (tan y) (tan z))

simplify115.0ms

Counts

98 → 98

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	394	1046
1	1350	1000
2	4363	993
3	5001	993
done	5001	993

prune376.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (tan y) (tan z))
0.3b	(* (tan y) (tan z))
0.3b	(* (* (tan y) (tan z)) (* (tan y) (tan z)))
0.3b	(pow (* (tan y) (tan z)) 3)

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

50×	`pow1`
44×	`tan-quot`
23×	`add-exp-log` `add-cbrt-cube`
20×	`frac-times` `pow-prod-down`
14×	`associate-r/` `associate-l/`
13×	`add-sqr-sqrt`
11×	`prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r` `associate-l`
4×	`pow-sqr` `pow-prod-up` `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 → 116

Calls

4 calls:

15.0ms	(* (tan y) (tan z))
15.0ms	(* (tan y) (tan z))
70.0ms	(* (* (tan y) (tan z)) (* (tan y) (tan z)))
16.0ms	(pow (* (tan y) (tan z)) 3)

series531.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(* (tan y) (tan z))
117.0ms	(* (tan y) (tan z))
144.0ms	(* (* (tan y) (tan z)) (* (tan y) (tan z)))
160.0ms	(pow (* (tan y) (tan z)) 3)

simplify71.0ms

Counts

128 → 128

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	433	671
1	2392	636
2	5001	632
done	5001	632

prune514.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (tan y) (tan z))
0.3b	(* (* (tan y) (tan z)) (/ (* (sin y) (sin z)) (* (cos y) (cos z))))
0.3b	(/ (* (sin y) (sin z)) (* (cos y) (cos z)))
0.3b	(pow (* (tan y) (tan z)) 3)

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-exp-log` `add-cbrt-cube`
29×	`prod-exp` `cbrt-unprod`
16×	`tan-quot`
14×	`pow1`
12×	`cbrt-undiv` `div-exp`
10×	`add-sqr-sqrt`
9×	`associate-r`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`frac-times` `associate-*l/`
5×	`associate-*r/` `pow-prod-down`
4×	`associate-l` `add-log-exp`
3×	`cube-div` `pow-unpow`
2×	`pow-pow` `times-frac` `pow-exp` `associate-/r/` `cos-mult` `*-commutative` `div-inv` `rem-cube-cbrt`
1×	`cube-mult` `pow-to-exp` `unpow-prod-down` `frac-2neg` `unpow3` `cube-prod` `clear-num` `associate-/r` `associate-/l/` `sin-mult` `associate-/l` `unswap-sqr` `sqr-pow`

Counts

4 → 113

Calls

4 calls:

15.0ms	(* (tan y) (tan z))
62.0ms	(* (* (tan y) (tan z)) (/ (* (sin y) (sin z)) (* (cos y) (cos z))))
19.0ms	(/ (* (sin y) (sin z)) (* (cos y) (cos z)))
16.0ms	(pow (* (tan y) (tan z)) 3)

series648.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(* (tan y) (tan z))
261.0ms	(* (* (tan y) (tan z)) (/ (* (sin y) (sin z)) (* (cos y) (cos z))))
122.0ms	(/ (* (sin y) (sin z)) (* (cos y) (cos z)))
150.0ms	(pow (* (tan y) (tan z)) 3)

simplify120.0ms

Counts

125 → 125

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	631	1093
1	3815	973
2	5002	973
done	5002	973

prune602.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

regimes566.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	30
1	47	30
2	47	30
done	47	30

end0.0ms

sample5.0s

Algorithm

intervals

Results

3.1s	4022×	body	1280	valid
847.0ms	1936×	body	640	valid
312.0ms	8000×	pre	80	true
199.0ms	694×	body	320	valid
107.0ms	1081×	body	80	valid
53.0ms	267×	body	160	valid