Details

sample239.0ms

Algorithm

intervals

Results

142.0ms	117×	body	1280	valid
36.0ms	67×	body	640	valid
13.0ms	256×	pre	80	true
11.0ms	30×	body	320	valid
4.0ms	36×	body	80	valid
2.0ms	6×	body	160	valid

simplify9.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.5b

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ x (- (tan (+ y z)) (tan a)))
0.2b	(- (tan (+ y z)) (tan a))
3.9b	(tan (+ y z))

rewrite70.0ms

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:

15.0ms	(+ x (- (tan (+ y z)) (tan a)))
47.0ms	(- (tan (+ y z)) (tan a))
7.0ms	(tan (+ y z))

series682.0ms

Counts

3 → 9

Calls

3 calls:

160.0ms	(+ x (- (tan (+ y z)) (tan a)))
147.0ms	(- (tan (+ y z)) (tan a))
375.0ms	(tan (+ y z))

simplify38.0ms

Counts: 51 → 51

prune171.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite144.0ms

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-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`pow1`
5×	`distribute-lft-out`
4×	`associate-/l*`
3×	`associate-r` `associate-l` `associate-/r*` `associate-/l/`
2×	`flip3--` `flip3-+` `frac-add` `associate-/r/` `flip--` `flip-+` `difference-of-squares`
1×	`cbrt-undiv` `+-commutative` `frac-times` `sub-neg` `frac-2neg` `diff-log` `associate-r/` `div-exp` `pow-prod-down` `associate-l/` `prod-exp` `clear-num` `sum-log` `*-commutative` `frac-sub` `cbrt-unprod` `div-inv` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 86

Calls

4 calls:

9.0ms	(+ (tan y) (tan z))
29.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
88.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
16.0ms	(* (tan y) (tan z))

series973.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(+ (tan y) (tan z))
257.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
488.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
112.0ms	(* (tan y) (tan z))

simplify116.0ms

Counts: 98 → 98

prune399.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (tan y) (tan z))
0.2b	(* (tan y) (tan y))
0.2b	(* (tan z) (tan z))
3.6b	(/ (- (* (tan y) (tan y)) (* (tan z) (tan z))) (* (- 1 (* (tan y) (tan z))) (- (tan y) (tan z))))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

42×	`tan-quot`
22×	`add-sqr-sqrt`
20×	`pow1`
16×	`add-cube-cbrt` `*-un-lft-identity`
15×	`add-exp-log` `frac-times` `add-cbrt-cube`
12×	`associate-*r/` `frac-sub`
11×	`associate-*l/` `associate-/r/` `associate-/l/`
9×	`associate-r` `associate-l`
8×	`flip3--` `flip--`
6×	`swap-sqr`
4×	`times-frac` `prod-exp` `cbrt-unprod` `associate-/l*` `add-log-exp`
3×	`pow-prod-down` `*-commutative` `unswap-sqr`
2×	`cbrt-undiv` `pow2` `pow-plus` `div-exp` `pow-sqr` `pow-prod-up` `difference-of-squares`
1×	`frac-2neg` `div-sub` `clear-num` `associate-/r*` `div-inv`

Counts

4 → 123

Calls

4 calls:

18.0ms	(* (tan y) (tan z))
16.0ms	(* (tan y) (tan y))
16.0ms	(* (tan z) (tan z))
77.0ms	(/ (- (* (tan y) (tan y)) (* (tan z) (tan z))) (* (- 1 (* (tan y) (tan z))) (- (tan y) (tan z))))

series653.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(* (tan y) (tan z))
43.0ms	(* (tan y) (tan y))
40.0ms	(* (tan z) (tan z))
453.0ms	(/ (- (* (tan y) (tan y)) (* (tan z) (tan z))) (* (- 1 (* (tan y) (tan z))) (- (tan y) (tan z))))

simplify84.0ms

Counts: 135 → 135

prune574.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

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)))

rewrite128.0ms

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))
16.0ms	(* (tan y) (tan z))
16.0ms	(* (tan y) (tan z))
75.0ms	(* (* (tan y) (tan z)) (* (tan y) (tan z)))

series480.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(* (tan y) (tan z))
114.0ms	(* (tan y) (tan z))
115.0ms	(* (tan y) (tan z))
137.0ms	(* (* (tan y) (tan z)) (* (tan y) (tan z)))

simplify42.0ms

Counts: 124 → 124

prune458.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes595.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample8.8s

Algorithm

intervals

Results

5.1s	3889×	body	1280	valid
2.0s	1980×	body	640	valid
595.0ms	8000×	pre	80	true
340.0ms	682×	body	320	valid
212.0ms	1170×	body	80	valid
76.0ms	279×	body	160	valid