Details

sample296.0ms

Algorithm

intervals

Results

142.0ms	124×	body	1280	valid
79.0ms	58×	body	640	valid
15.0ms	256×	pre	80	true
13.0ms	27×	body	320	valid
6.0ms	35×	body	80	valid
4.0ms	12×	body	160	valid

simplify6.3s

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

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize19.0ms

Local error

Found 3 expressions with local error:

0.1b	(- (tan a) (tan (+ y z)))
0.2b	(- x (- (tan a) (tan (+ y z))))
3.5b	(tan (+ y z))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
35×	`add-sqr-sqrt`
33×	`prod-diff`
25×	`add-cube-cbrt`
11×	`associate--r+`
10×	`add-log-exp`
7×	`distribute-lft-out--`
6×	`fma-neg`
5×	`difference-of-squares`
4×	`diff-log` `tan-quot`
3×	`expm1-log1p-u` `pow1` `sub-neg` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u`
2×	`tan-sum` `flip3--` `frac-sub` `flip--`
1×	`associate--r-`

Counts

3 → 89

Calls

3 calls:

15.0ms	(- (tan a) (tan (+ y z)))
16.0ms	(- x (- (tan a) (tan (+ y z))))
6.0ms	(tan (+ y z))

series489.0ms

Counts

3 → 9

Calls

3 calls:

184.0ms	(- (tan a) (tan (+ y z)))
219.0ms	(- x (- (tan a) (tan (+ y z))))
86.0ms	(tan (+ y z))

simplify1.6s

Counts

98 → 98

Iterations

Iter	Nodes
done	5000
2	1517
1	375
0	162

prune548.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite286.0ms

Algorithm

rewrite-expression-head

Rules

153×	`*-un-lft-identity`
126×	`add-sqr-sqrt` `prod-diff`
102×	`add-cube-cbrt`
76×	`times-frac`
56×	`associate--r+`
19×	`distribute-lft-out`
13×	`add-log-exp`
12×	`associate-/r/`
9×	`difference-of-squares`
8×	`flip3--` `flip--`
7×	`tan-quot` `distribute-lft-out--`
6×	`pow1` `add-cbrt-cube` `fma-neg` `add-exp-log` `div-inv`
4×	`expm1-log1p-u` `diff-log` `log1p-expm1-u`
3×	`sub-neg` `fma-def` `associate-r` `associate-l`
1×	`frac-times` `+-commutative` `sum-log` `flip3-+` `pow-prod-down` `associate-l/` `frac-add` `prod-exp` `associate-r/` `*-commutative` `frac-sub` `cbrt-unprod` `flip-+` `associate--r-` `unswap-sqr`

Counts

4 → 212

Calls

4 calls:

63.0ms	(- (tan a) (/ (+ (tan z) (tan y)) (- 1 (* (tan z) (tan y)))))
169.0ms	(- x (- (tan a) (/ (+ (tan z) (tan y)) (- 1 (* (tan z) (tan y))))))
14.0ms	(+ (tan z) (tan y))
23.0ms	(* (tan z) (tan y))

series1.5s

Counts

4 → 12

Calls

4 calls:

647.0ms	(- (tan a) (/ (+ (tan z) (tan y)) (- 1 (* (tan z) (tan y)))))
576.0ms	(- x (- (tan a) (/ (+ (tan z) (tan y)) (- 1 (* (tan z) (tan y))))))
151.0ms	(+ (tan z) (tan y))
156.0ms	(* (tan z) (tan y))

simplify2.2s

Counts

224 → 224

Iterations

Iter	Nodes
done	5000
2	4302
1	1016
0	386

prune1.5s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
31×	`add-sqr-sqrt`
29×	`times-frac` `add-cube-cbrt`
13×	`fma-def`
10×	`add-cbrt-cube` `add-exp-log`
6×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`expm1-log1p-u` `tan-quot` `log1p-expm1-u`
3×	`associate-r` `associate-l` `div-inv`
2×	`cbrt-undiv` `quot-tan` `clear-num` `frac-2neg` `div-exp` `distribute-lft-out`
1×	`frac-times` `+-commutative` `sum-log` `flip3-+` `pow-prod-down` `associate-l/` `frac-add` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

7.0ms	(/ (sin z) (cos z))
42.0ms	(+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))
12.0ms	(* (tan z) (tan y))
13.0ms	(/ (sin y) (cos y))

series298.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ (sin z) (cos z))
109.0ms	(+ (/ (sin y) (cos y)) (/ (sin z) (cos z)))
133.0ms	(* (tan z) (tan y))
30.0ms	(/ (sin y) (cos y))

simplify724.0ms

Counts

124 → 124

Iterations

Iter	Nodes
done	5000
2	1377
1	403
0	187

prune1.1s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize62.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (sin y) (cos y))
0.2b	(pow (exp (tan y)) (tan z))
0.2b	(exp (tan y))
2.4b	(log (pow (exp (tan y)) (tan z)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`log-prod` `add-exp-log`
6×	`exp-prod` `unpow-prod-down` `add-cbrt-cube`
5×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `pow-pow` `log1p-expm1-u`
3×	`pow-unpow` `associate-/r` `rem-log-exp` `associate-/l`
2×	`pow-to-exp` `pow-exp` `sqr-pow`
1×	`cbrt-undiv` `quot-tan` `clear-num` `frac-2neg` `div-exp` `log-pow` `div-inv` `rem-exp-log`

Counts

4 → 85

Calls

4 calls:

7.0ms	(/ (sin y) (cos y))
5.0ms	(pow (exp (tan y)) (tan z))
3.0ms	(exp (tan y))
4.0ms	(log (pow (exp (tan y)) (tan z)))

series548.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ (sin y) (cos y))
250.0ms	(pow (exp (tan y)) (tan z))
46.0ms	(exp (tan y))
231.0ms	(log (pow (exp (tan y)) (tan z)))

simplify599.0ms

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	1115
1	319
0	148

prune726.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

regimes399.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	25
1	25
0	22

end0.0ms

sample8.2s

Algorithm

intervals

Results

4.8s	3837×	body	1280	valid
1.9s	2048×	body	640	valid
438.0ms	8000×	pre	80	true
293.0ms	717×	body	320	valid
193.0ms	1107×	body	80	valid
75.0ms	291×	body	160	valid