Details

sample344.0ms

Algorithm

intervals

Results

212.0ms	130×	body	1280	valid
52.0ms	60×	body	640	valid
17.0ms	256×	pre	80	true
11.0ms	39×	body	80	valid
10.0ms	18×	body	320	valid
4.0ms	9×	body	160	valid

simplify6.1s

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: 14.7b

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ x (- (tan (+ y z)) (tan a)))
0.1b	(- (tan (+ y z)) (tan a))
4.1b	(tan (+ y z))

rewrite42.0ms

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)))
18.0ms	(- (tan (+ y z)) (tan a))
7.0ms	(tan (+ y z))

series381.0ms

Counts

3 → 9

Calls

3 calls:

165.0ms	(+ x (- (tan (+ y z)) (tan a)))
143.0ms	(- (tan (+ y z)) (tan a))
73.0ms	(tan (+ y z))

simplify1.0s

Counts

51 → 51

Iterations

Useful iterations: 3 (357.0ms)

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

prune214.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite335.0ms

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:

187.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
12.0ms	(+ (tan y) (tan z))
115.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
18.0ms	(* (tan y) (tan z))

series1.5s

Counts

4 → 12

Calls

4 calls:

577.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
164.0ms	(+ (tan y) (tan z))
659.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
120.0ms	(* (tan y) (tan z))

simplify756.0ms

Counts

79 → 79

Iterations

Useful iterations: done (752.0ms)

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

prune450.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (tan y) (tan z))
0.2b	(- (/ (+ (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))

rewrite349.0ms

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:

14.0ms	(+ (tan y) (tan z))
271.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (tan z)) (cos y)))) (tan a))
34.0ms	(/ (* (sin y) (tan z)) (cos y))
27.0ms	(* (sin y) (tan z))

series1.1s

Counts

4 → 12

Calls

4 calls:

161.0ms	(+ (tan y) (tan z))
664.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (tan z)) (cos y)))) (tan a))
129.0ms	(/ (* (sin y) (tan z)) (cos y))
107.0ms	(* (sin y) (tan z))

simplify1.7s

Counts

82 → 82

Iterations

Useful iterations: done (1.7s)

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

prune618.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.1b	(exp (* (sin y) (tan z)))
0.2b	(- (/ (+ (tan y) (tan z)) (- 1 (/ (log (exp (* (sin y) (tan z)))) (cos y)))) (tan a))
0.2b	(* (sin y) (tan z))
1.7b	(log (exp (* (sin y) (tan z))))

rewrite521.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 59

Calls

4 calls:

22.0ms	(exp (* (sin y) (tan z)))
466.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (log (exp (* (sin y) (tan z)))) (cos y)))) (tan a))
24.0ms	(* (sin y) (tan z))
8.0ms	(log (exp (* (sin y) (tan z))))

series1.1s

Counts

4 → 12

Calls

4 calls:

157.0ms	(exp (* (sin y) (tan z)))
712.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (log (exp (* (sin y) (tan z)))) (cos y)))) (tan a))
126.0ms	(* (sin y) (tan z))
129.0ms	(log (exp (* (sin y) (tan z))))

simplify2.4s

Counts

71 → 71

Iterations

Useful iterations: 3 (740.0ms)

Iter	Nodes	Cost
0	128	1115
1	271	1026
2	835	939
3	4339	921
done	5001	921

prune385.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes411.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	23
1	24	23
done	24	23

end0.0ms

sample9.8s

Algorithm

intervals

Results

5.6s	3900×	body	1280	valid
2.0s	1973×	body	640	valid
930.0ms	8000×	pre	80	true
418.0ms	659×	body	320	valid
159.0ms	282×	body	160	valid
158.0ms	1186×	body	80	valid