Details

sample340.0ms

Algorithm

intervals

Results

199.0ms	127×	body	1280	valid
58.0ms	69×	body	640	valid
17.0ms	256×	pre	80	true
16.0ms	26×	body	320	valid
5.0ms	25×	body	80	valid
3.0ms	9×	body	160	valid

simplify105.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.2b

localize63.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ x (- (tan (+ y z)) (tan a)))
0.2b	(- (tan (+ y z)) (tan a))
3.6b	(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:

17.0ms	(+ x (- (tan (+ y z)) (tan a)))
17.0ms	(- (tan (+ y z)) (tan a))
7.0ms	(tan (+ y z))

series501.0ms

Counts

3 → 9

Calls

3 calls:

239.0ms	(+ x (- (tan (+ y z)) (tan a)))
191.0ms	(- (tan (+ y z)) (tan a))
71.0ms	(tan (+ y z))

simplify691.0ms

Counts: 51 → 51

prune227.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize53.0ms

Local error

Found 4 expressions with local error:

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

rewrite203.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

36.0ms	(* (+ (tan y) (tan z)) (cos a))
115.0ms	(/ (- (* (+ (tan y) (tan z)) (cos a)) (* (- 1 (* (tan y) (tan z))) (sin a))) (* (- 1 (* (tan y) (tan z))) (cos a)))
17.0ms	(* (tan y) (tan z))
29.0ms	(* (tan y) (tan z))

series1.3s

Counts

4 → 12

Calls

4 calls:

218.0ms	(* (+ (tan y) (tan z)) (cos a))
822.0ms	(/ (- (* (+ (tan y) (tan z)) (cos a)) (* (- 1 (* (tan y) (tan z))) (sin a))) (* (- 1 (* (tan y) (tan z))) (cos a)))
139.0ms	(* (tan y) (tan z))
156.0ms	(* (tan y) (tan z))

simplify1.3s

Counts: 108 → 108

prune714.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sin y) (sin z))
0.2b	(/ (- (* (+ (tan y) (tan z)) (cos a)) (* (- 1 (/ (* (sin y) (sin z)) (* (cos z) (cos y)))) (sin a))) (* (- 1 (* (tan y) (tan z))) (cos a)))
0.2b	(* (tan y) (tan z))
0.3b	(/ (* (sin y) (sin z)) (* (cos z) (cos y)))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log` `add-cbrt-cube`
15×	`associate-*l/`
14×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`associate-/l/`
8×	`tan-quot` `pow1`
7×	`prod-exp` `cbrt-unprod`
6×	`cbrt-undiv` `div-exp` `associate-r` `associate-l` `frac-sub`
5×	`flip3--` `flip--`
4×	`times-frac` `associate-/l*` `add-log-exp`
3×	`associate-/r/`
2×	`frac-2neg` `flip3-+` `pow-prod-down` `frac-add` `clear-num` `associate-/r` `-commutative` `flip-+` `div-inv` `sin-mult` `unswap-sqr`
1×	`frac-times` `div-sub` `associate-*r/` `cos-mult`

Counts

4 → 95

Calls

4 calls:

12.0ms	(* (sin y) (sin z))
89.0ms	(/ (- (* (+ (tan y) (tan z)) (cos a)) (* (- 1 (/ (* (sin y) (sin z)) (* (cos z) (cos y)))) (sin a))) (* (- 1 (* (tan y) (tan z))) (cos a)))
24.0ms	(* (tan y) (tan z))
28.0ms	(/ (* (sin y) (sin z)) (* (cos z) (cos y)))

series959.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (sin y) (sin z))
684.0ms	(/ (- (* (+ (tan y) (tan z)) (cos a)) (* (- 1 (/ (* (sin y) (sin z)) (* (cos z) (cos y)))) (sin a))) (* (- 1 (* (tan y) (tan z))) (cos a)))
100.0ms	(* (tan y) (tan z))
120.0ms	(/ (* (sin y) (sin z)) (* (cos z) (cos y)))

simplify1.5s

Counts: 107 → 107

prune804.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (tan y) (tan z))
0.2b	(* (tan y) (tan z))
0.2b	(* (tan y) (tan z))
0.3b	(* (* (tan y) (tan z)) (* (tan y) (tan z)))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

49×	`pow1`
44×	`tan-quot`
22×	`add-exp-log` `add-cbrt-cube`
20×	`frac-times` `pow-prod-down`
16×	`add-sqr-sqrt`
14×	`associate-r/` `associate-l/`
11×	`prod-exp` `cbrt-unprod`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
4×	`pow-sqr` `*-commutative` `pow-prod-up` `add-log-exp`
3×	`unswap-sqr`
2×	`pow-plus`
1×	`pow2` `swap-sqr`

Counts

4 → 112

Calls

4 calls:

17.0ms	(* (tan y) (tan z))
15.0ms	(* (tan y) (tan z))
16.0ms	(* (tan y) (tan z))
83.0ms	(* (* (tan y) (tan z)) (* (tan y) (tan z)))

series559.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(* (tan y) (tan z))
131.0ms	(* (tan y) (tan z))
130.0ms	(* (tan y) (tan z))
154.0ms	(* (* (tan y) (tan z)) (* (tan y) (tan z)))

simplify540.0ms

Counts: 124 → 124

prune471.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes566.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify670.0ms

end0.0ms

sample8.4s

Algorithm

intervals

Results

5.3s	3854×	body	1280	valid
1.4s	1964×	body	640	valid
614.0ms	8000×	pre	80	true
305.0ms	697×	body	320	valid
172.0ms	1161×	body	80	valid
81.0ms	324×	body	160	valid