Details

sample357.0ms

Algorithm

intervals

Results

212.0ms	130×	body	1280	valid
52.0ms	60×	body	640	valid
19.0ms	256×	pre	80	true
10.0ms	18×	body	320	valid
6.0ms	39×	body	80	valid
3.0ms	9×	body	160	valid

simplify7.0s

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

localize13.0ms

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))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
18×	`prod-diff`
17×	`add-cube-cbrt`
11×	`associate-+r+`
10×	`add-log-exp`
4×	`tan-quot`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `fma-def` `fma-neg` `add-cbrt-cube` `log1p-expm1-u`
2×	`sub-neg` `tan-sum` `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 → 72

Calls

3 calls:

18.0ms	(+ x (- (tan (+ y z)) (tan a)))
34.0ms	(- (tan (+ y z)) (tan a))
14.0ms	(tan (+ y z))

series519.0ms

Counts

3 → 9

Calls

3 calls:

200.0ms	(+ x (- (tan (+ y z)) (tan a)))
226.0ms	(- (tan (+ y z)) (tan a))
92.0ms	(tan (+ y z))

simplify1.4s

Counts

81 → 81

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	128	1195
1	283	1011
2	1003	882
done	5000	795

prune348.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

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))

rewrite398.0ms

Algorithm

rewrite-expression-head

Rules

151×	`*-un-lft-identity`
108×	`prod-diff`
107×	`add-sqr-sqrt`
100×	`add-cube-cbrt`
85×	`times-frac`
56×	`associate-+r+`
24×	`distribute-lft-out`
18×	`fma-neg`
14×	`associate-/r/`
13×	`add-log-exp`
8×	`flip3--` `flip--`
7×	`tan-quot` `div-inv`
6×	`pow1` `add-exp-log` `fma-def` `add-cbrt-cube`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r` `associate-l` `sum-log`
2×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `flip-+` `distribute-lft-out--` `difference-of-squares`
1×	`frac-times` `associate-+r-` `associate-r/` `pow-prod-down` `associate-l/` `frac-add` `prod-exp` `*-commutative` `frac-sub` `cbrt-unprod` `unswap-sqr`

Counts

4 → 207

Calls

4 calls:

184.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
10.0ms	(+ (tan y) (tan z))
165.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
25.0ms	(* (tan y) (tan z))

series1.5s

Counts

4 → 12

Calls

4 calls:

562.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
129.0ms	(+ (tan y) (tan z))
670.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
133.0ms	(* (tan y) (tan z))

simplify2.7s

Counts

219 → 219

Iterations

Useful iterations: done (2.7s)

Iter	Nodes	Cost
0	296	6641
1	701	5567
2	2715	5029
done	5001	4679

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

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))

rewrite357.0ms

Algorithm

rewrite-expression-head

Rules

183×	`*-un-lft-identity`
138×	`add-sqr-sqrt`
100×	`times-frac`
90×	`prod-diff`
83×	`add-cube-cbrt`
34×	`difference-of-squares`
30×	`fma-neg`
25×	`distribute-lft-out`
17×	`distribute-lft-out--`
11×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/r/` `add-log-exp`
6×	`pow1`
5×	`tan-quot` `flip3--` `flip--` `div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`fma-def` `associate-r` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `frac-add` `clear-num` `sum-log` `-commutative` `frac-sub` `flip-+` `associate-/l/` `associate-/l` `unswap-sqr`

Counts

4 → 201

Calls

4 calls:

12.0ms	(+ (tan y) (tan z))
289.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (tan z)) (cos y)))) (tan a))
16.0ms	(/ (* (sin y) (tan z)) (cos y))
26.0ms	(* (sin y) (tan z))

series1.2s

Counts

4 → 12

Calls

4 calls:

169.0ms	(+ (tan y) (tan z))
722.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (tan z)) (cos y)))) (tan a))
193.0ms	(/ (* (sin y) (tan z)) (cos y))
129.0ms	(* (sin y) (tan z))

simplify2.0s

Counts

213 → 213

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	298	6699
1	701	5483
2	2873	4820
done	5001	4552

prune1000.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize73.0ms

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))))

rewrite537.0ms

Algorithm

rewrite-expression-head

Rules

232×	`add-sqr-sqrt`
227×	`*-un-lft-identity`
161×	`times-frac`
114×	`prod-diff`
97×	`add-cube-cbrt`
66×	`difference-of-squares`
38×	`fma-neg`
32×	`distribute-lft-out`
17×	`distribute-lft-out--`
9×	`add-log-exp`
8×	`associate-/r/`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube`
5×	`flip3--` `flip--`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv`
3×	`log-prod` `associate-r` `associate-l` `log-pow`
2×	`tan-quot` `exp-prod` `exp-to-pow`
1×	`sub-neg` `diff-log` `associate-r/` `rem-log-exp` `pow-prod-down` `prod-exp` `-commutative` `frac-sub` `cbrt-unprod` `rem-exp-log` `unswap-sqr`

Counts

4 → 219

Calls

4 calls:

22.0ms	(exp (* (sin y) (tan z)))
441.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (log (exp (* (sin y) (tan z)))) (cos y)))) (tan a))
28.0ms	(* (sin y) (tan z))
11.0ms	(log (exp (* (sin y) (tan z))))

series1.2s

Counts

4 → 12

Calls

4 calls:

161.0ms	(exp (* (sin y) (tan z)))
717.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (log (exp (* (sin y) (tan z)))) (cos y)))) (tan a))
174.0ms	(* (sin y) (tan z))
163.0ms	(log (exp (* (sin y) (tan z))))

simplify1.8s

Counts

231 → 231

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	300	8548
1	650	6532
2	2214	5747
done	5000	5064

prune921.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes368.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample9.3s

Algorithm

intervals

Results

5.3s	3900×	body	1280	valid
2.0s	1973×	body	640	valid
911.0ms	8000×	pre	80	true
307.0ms	659×	body	320	valid
186.0ms	1186×	body	80	valid
76.0ms	282×	body	160	valid