Details

sample302.0ms

Algorithm

intervals

Results

154.0ms	130×	body	1280	valid
48.0ms	31×	body	80	valid
42.0ms	62×	body	640	valid
13.0ms	256×	pre	80	true
11.0ms	23×	body	320	valid
3.0ms	10×	body	160	valid

simplify99.0ms

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ x (- (tan (+ y z)) (tan a)))
0.2b	(- (tan (+ y z)) (tan a))
5.0b	(tan (+ y z))

rewrite79.0ms

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)))
56.0ms	(- (tan (+ y z)) (tan a))
7.0ms	(tan (+ y z))

series458.0ms

Counts

3 → 9

Calls

3 calls:

199.0ms	(+ x (- (tan (+ y z)) (tan a)))
173.0ms	(- (tan (+ y z)) (tan a))
86.0ms	(tan (+ y z))

simplify623.0ms

Counts: 51 → 51

prune256.0ms

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

rewrite347.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 67

Calls

4 calls:

179.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
8.0ms	(+ (tan y) (tan z))
128.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
29.0ms	(* (tan y) (tan z))

series1.4s

Counts

4 → 12

Calls

4 calls:

549.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
125.0ms	(+ (tan y) (tan z))
623.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
131.0ms	(* (tan y) (tan z))

simplify1.3s

Counts: 79 → 79

prune499.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize78.0ms

Local error

Found 4 expressions with local error:

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

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

26.0ms	(* (sin y) (sin z))
67.0ms	(/ (sin z) (* (- 1 (/ (* (sin y) (sin z)) (* (cos z) (cos y)))) (cos z)))
21.0ms	(/ (* (sin y) (sin z)) (* (cos z) (cos y)))
49.0ms	(/ (* (sin y) (sin z)) (* (cos z) (cos y)))

series683.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* (sin y) (sin z))
247.0ms	(/ (sin z) (* (- 1 (/ (* (sin y) (sin z)) (* (cos z) (cos y)))) (cos z)))
173.0ms	(/ (* (sin y) (sin z)) (* (cos z) (cos y)))
181.0ms	(/ (* (sin y) (sin z)) (* (cos z) (cos y)))

simplify780.0ms

Counts: 100 → 100

prune646.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sin y) (sin z))
0.2b	(/ (sin z) (cos z))
0.3b	(/ (* (sin y) (sin z)) (* (cos z) (cos y)))
0.3b	(/ (* (sin y) (sin z)) (* (cos z) (cos y)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log` `add-cbrt-cube`
16×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
11×	`times-frac`
9×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
6×	`pow1`
5×	`associate-/r` `associate-/l`
4×	`add-log-exp`
3×	`frac-2neg` `associate-r` `associate-l` `clear-num` `div-inv` `sin-mult`
2×	`associate-/r/` `cos-mult` `associate-/l/`
1×	`quot-tan` `pow-prod-down` `*-commutative` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

13.0ms	(* (sin y) (sin z))
10.0ms	(/ (sin z) (cos z))
18.0ms	(/ (* (sin y) (sin z)) (* (cos z) (cos y)))
27.0ms	(/ (* (sin y) (sin z)) (* (cos z) (cos y)))

series307.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (sin y) (sin z))
21.0ms	(/ (sin z) (cos z))
117.0ms	(/ (* (sin y) (sin z)) (* (cos z) (cos y)))
120.0ms	(/ (* (sin y) (sin z)) (* (cos z) (cos y)))

simplify548.0ms

Counts: 105 → 105

prune647.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes414.0ms

Accuracy

-38% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify521.0ms

end0.0ms

sample9.3s

Algorithm

intervals

Results

5.0s	3897×	body	1280	valid
2.2s	2048×	body	640	valid
534.0ms	269×	body	160	valid
513.0ms	8000×	pre	80	true
398.0ms	679×	body	320	valid
141.0ms	1107×	body	80	valid