Details

sample308.0ms

Algorithm

intervals

Results

169.0ms	134×	body	1280	valid
47.0ms	56×	body	640	valid
32.0ms	256×	pre	80	true
11.0ms	20×	body	320	valid
7.0ms	36×	body	80	valid
4.0ms	10×	body	160	valid

simplify5.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	15	9
2	22	9
3	33	9
4	39	9
5	89	9
6	193	9
7	451	9
8	1380	9
9	4837	9
done	5001	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.8b

localize20.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ x (- (tan (+ y z)) (tan a)))
0.1b	(- (tan (+ y z)) (tan a))
3.0b	(tan (+ y z))

rewrite58.0ms

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:

20.0ms	(+ x (- (tan (+ y z)) (tan a)))
26.0ms	(- (tan (+ y z)) (tan a))
11.0ms	(tan (+ y z))

series378.0ms

Counts

3 → 9

Calls

3 calls:

167.0ms	(+ x (- (tan (+ y z)) (tan a)))
142.0ms	(- (tan (+ y z)) (tan a))
68.0ms	(tan (+ y z))

simplify1.0s

Counts

51 → 51

Iterations

Useful iterations: 3 (349.0ms)

Iter	Nodes	Cost
0	91	627
1	197	590
2	475	572
3	1729	570
done	5000	570

prune222.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite370.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

211.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
18.0ms	(+ (tan y) (tan z))
113.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
24.0ms	(* (tan y) (tan z))

series1.4s

Counts

4 → 12

Calls

4 calls:

544.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
123.0ms	(+ (tan y) (tan z))
585.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
181.0ms	(* (tan y) (tan z))

simplify807.0ms

Counts

79 → 79

Iterations

Useful iterations: done (803.0ms)

Iter	Nodes	Cost
0	154	1433
1	376	1362
2	1173	1304
done	5000	1291

prune464.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite273.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

10.0ms	(+ (tan y) (tan z))
229.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (tan z)) (cos y)))) (tan a))
16.0ms	(/ (* (sin y) (tan z)) (cos y))
16.0ms	(* (sin y) (tan z))

series1.3s

Counts

4 → 12

Calls

4 calls:

480.0ms	(+ (tan y) (tan z))
564.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (tan z)) (cos y)))) (tan a))
139.0ms	(/ (* (sin y) (tan z)) (cos y))
120.0ms	(* (sin y) (tan z))

simplify1.2s

Counts

82 → 82

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	166	1244
1	391	1218
2	1532	1114
done	5000	1092

prune388.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log` `add-cbrt-cube`
16×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
8×	`pow1`
6×	`times-frac` `associate-r` `associate-l`
4×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r` `cbrt-unprod` `associate-/l` `add-log-exp`
3×	`associate-/l/`
2×	`tan-quot` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `div-inv` `unswap-sqr`
1×	`flip3-+` `associate-/r/` `cos-mult` `sin-cos-mult` `flip-+`

Counts

4 → 84

Calls

4 calls:

12.0ms	(* (sin y) (cos z))
16.0ms	(/ (* (sin y) (tan z)) (cos y))
14.0ms	(* (sin y) (tan z))
51.0ms	(/ (+ (* (sin y) (cos z)) (* (cos y) (sin z))) (* (cos y) (cos z)))

series425.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (sin y) (cos z))
118.0ms	(/ (* (sin y) (tan z)) (cos y))
90.0ms	(* (sin y) (tan z))
166.0ms	(/ (+ (* (sin y) (cos z)) (* (cos y) (sin z))) (* (cos y) (cos z)))

simplify1.4s

Counts

96 → 96

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	176	1302
1	446	1280
2	2219	1094
done	5002	1086

prune486.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes256.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	57
1	34	57
done	34	57

end0.0ms

sample8.8s

Algorithm

intervals

Results

5.2s	3833×	body	1280	valid
2.2s	2034×	body	640	valid
387.0ms	8000×	pre	80	true
293.0ms	708×	body	320	valid
139.0ms	1152×	body	80	valid
74.0ms	273×	body	160	valid