Details

sample319.0ms

Algorithm

intervals

Results

183.0ms	105×	body	1280	valid
61.0ms	82×	body	640	valid
16.0ms	256×	pre	80	true
12.0ms	21×	body	320	valid
6.0ms	38×	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

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.2b

localize36.0ms

Local error

Found 3 expressions with local error:

0.1b	(- x (- (tan a) (tan (+ y z))))
0.2b	(- (tan a) (tan (+ y z)))
2.5b	(tan (+ y z))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity` `add-log-exp`
7×	`add-sqr-sqrt`
4×	`diff-log` `tan-quot` `distribute-lft-out--`
3×	`pow1` `sub-neg` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
2×	`tan-sum` `flip3--` `frac-sub` `flip--` `associate--r+` `difference-of-squares`
1×	`associate--r-`

Counts

3 → 44

Calls

3 calls:

11.0ms	(- x (- (tan a) (tan (+ y z))))
25.0ms	(- (tan a) (tan (+ y z)))
10.0ms	(tan (+ y z))

series450.0ms

Counts

3 → 9

Calls

3 calls:

162.0ms	(- x (- (tan a) (tan (+ y z))))
223.0ms	(- (tan a) (tan (+ y z)))
65.0ms	(tan (+ y z))

simplify720.0ms

Counts

53 → 53

Iterations

Iter	Nodes
done	5000
3	1680
2	461
1	200
0	96

prune402.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize64.0ms

Local error

Found 4 expressions with local error:

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

rewrite193.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 69

Calls

4 calls:

7.0ms	(+ (tan y) (tan z))
121.0ms	(- x (- (tan a) (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y))))))
39.0ms	(- (tan a) (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y)))))
23.0ms	(* (tan z) (tan y))

series1.6s

Counts

4 → 12

Calls

4 calls:

114.0ms	(+ (tan y) (tan z))
711.0ms	(- x (- (tan a) (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y))))))
639.0ms	(- (tan a) (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y)))))
165.0ms	(* (tan z) (tan y))

simplify583.0ms

Counts

81 → 81

Iterations

Iter	Nodes
done	5001
2	1226
1	384
0	161

prune666.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

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

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

37×	`times-frac`
31×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
24×	`add-cube-cbrt`
20×	`add-cbrt-cube` `add-exp-log`
8×	`associate-/l*`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `associate-/r*` `div-inv` `add-log-exp`
3×	`associate-r` `associate-l` `prod-exp` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `sin-mult` `difference-of-squares` `associate-/l/`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `tan-quot` `*-commutative` `frac-sub` `flip--` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 105

Calls

4 calls:

11.0ms	(/ (* (sin z) (sin y)) (cos y))
113.0ms	(- (tan a) (/ (+ (tan y) (tan z)) (- 1 (/ (/ (* (sin z) (sin y)) (cos y)) (cos z)))))
18.0ms	(* (sin z) (sin y))
20.0ms	(/ (/ (* (sin z) (sin y)) (cos y)) (cos z))

series1.2s

Counts

4 → 12

Calls

4 calls:

175.0ms	(/ (* (sin z) (sin y)) (cos y))
755.0ms	(- (tan a) (/ (+ (tan y) (tan z)) (- 1 (/ (/ (* (sin z) (sin y)) (cos y)) (cos z)))))
120.0ms	(* (sin z) (sin y))
158.0ms	(/ (/ (* (sin z) (sin y)) (cos y)) (cos z))

simplify1.0s

Counts

117 → 117

Iterations

Iter	Nodes
done	5001
2	2446
1	523
0	214

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

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

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

5.0ms	(- x (tan a))
7.0ms	(+ (tan y) (tan z))
96.0ms	(+ (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (- x (tan a)))
24.0ms	(* (tan y) (tan z))

series1.8s

Counts

4 → 12

Calls

4 calls:

90.0ms	(- x (tan a))
155.0ms	(+ (tan y) (tan z))
945.0ms	(+ (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (- x (tan a)))
617.0ms	(* (tan y) (tan z))

simplify681.0ms

Counts

79 → 79

Iterations

Iter	Nodes
done	5001
2	1355
1	396
0	154

prune590.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes511.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	24
1	24
0	20

end0.0ms

sample12.4s

Algorithm

intervals

Results

8.3s	3831×	body	1280	valid
1.9s	2070×	body	640	valid
573.0ms	8000×	pre	80	true
550.0ms	688×	body	320	valid
296.0ms	1139×	body	80	valid
147.0ms	272×	body	160	valid