Details

sample364.0ms

Algorithm

intervals

Results

179.0ms	128×	body	1280	valid
59.0ms	256×	pre	80	true
50.0ms	60×	body	640	valid
25.0ms	23×	body	320	valid
6.0ms	35×	body	80	valid
3.0ms	10×	body	160	valid

simplify6.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	4724
8	1354
7	446
6	193
5	89
4	39
3	33
2	22
1	15
0	9

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.6b

localize36.0ms

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))

rewrite53.0ms

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`
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 → 42

Calls

3 calls:

17.0ms	(+ x (- (tan (+ y z)) (tan a)))
24.0ms	(- (tan (+ y z)) (tan a))
10.0ms	(tan (+ y z))

series466.0ms

Counts

3 → 9

Calls

3 calls:

208.0ms	(+ x (- (tan (+ y z)) (tan a)))
171.0ms	(- (tan (+ y z)) (tan a))
87.0ms	(tan (+ y z))

simplify1.2s

Counts

51 → 51

Iterations

Iter	Nodes
done	5001
3	1734
2	475
1	198
0	91

prune329.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite185.0ms

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×	`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 → 86

Calls

4 calls:

43.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
13.0ms	(+ (tan y) (tan z))
101.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
24.0ms	(* (tan y) (tan z))

series1.2s

Counts

4 → 12

Calls

4 calls:

309.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
131.0ms	(+ (tan y) (tan z))
605.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
119.0ms	(* (tan y) (tan z))

simplify1.4s

Counts

98 → 98

Iterations

Iter	Nodes
done	5001
2	1498
1	410
0	174

prune907.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

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

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

18×	`tan-quot`
13×	`add-log-exp`
10×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `frac-sub`
6×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
4×	`frac-times` `flip3-+` `associate-*l/` `flip-+`
3×	`sum-log` `associate-r` `associate-l` `frac-add`
2×	`+-commutative` `associate-+r+` `sub-neg` `diff-log` `associate-*r/` `distribute-lft-out`
1×	`associate-+r-` `flip3--` `pow-prod-down` `prod-exp` `un-div-inv` `*-commutative` `cbrt-unprod` `flip--` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

39.0ms	(+ x (- (* (+ (tan y) (tan z)) (/ 1 (- 1 (* (tan y) (tan z))))) (tan a)))
7.0ms	(+ (tan y) (tan z))
28.0ms	(- (* (+ (tan y) (tan z)) (/ 1 (- 1 (* (tan y) (tan z))))) (tan a))
12.0ms	(* (tan y) (tan z))

series1.4s

Counts

4 → 12

Calls

4 calls:

521.0ms	(+ x (- (* (+ (tan y) (tan z)) (/ 1 (- 1 (* (tan y) (tan z))))) (tan a)))
136.0ms	(+ (tan y) (tan z))
593.0ms	(- (* (+ (tan y) (tan z)) (/ 1 (- 1 (* (tan y) (tan z))))) (tan a))
131.0ms	(* (tan y) (tan z))

simplify1.6s

Counts

82 → 82

Iterations

Iter	Nodes
done	5000
2	1941
1	478
0	184

prune803.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize89.0ms

Local error

Found 4 expressions with local error:

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

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

11.0ms	(/ (sin y) (cos y))
12.0ms	(/ (sin z) (cos z))
56.0ms	(- (* (+ (/ (sin z) (cos z)) (/ (sin y) (cos y))) (/ 1 (- 1 (* (tan y) (tan z))))) (tan a))
29.0ms	(* (tan y) (tan z))

series798.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ (sin y) (cos y))
42.0ms	(/ (sin z) (cos z))
592.0ms	(- (* (+ (/ (sin z) (cos z)) (/ (sin y) (cos y))) (/ 1 (- 1 (* (tan y) (tan z))))) (tan a))
136.0ms	(* (tan y) (tan z))

simplify1.6s

Counts

109 → 109

Iterations

Iter	Nodes
done	5001
2	2184
1	569
0	248

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes644.0ms

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
done	26
1	26
0	21

end0.0ms

sample9.5s

Algorithm

intervals

Results

5.6s	3895×	body	1280	valid
1.7s	2001×	body	640	valid
769.0ms	674×	body	320	valid
625.0ms	8000×	pre	80	true
217.0ms	1158×	body	80	valid
124.0ms	272×	body	160	valid