Details

sample294.0ms

Algorithm

intervals

Results

69.0ms	26×	body	320	valid
68.0ms	50×	body	1280	valid
38.0ms	39×	body	640	valid
32.0ms	173×	body	80	valid
4.0ms	10×	body	160	valid

simplify45.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	53
5	53
4	50
3	39
2	31
1	18
0	10

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1.0 (sin B)) (* (/ 1.0 (tan B)) x))
0.1b	(/ 1.0 (sin B))
0.1b	(/ 1.0 (tan B))
0.3b	(* (/ 1.0 (tan B)) x)

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
28×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
14×	`associate-l`
13×	`add-cbrt-cube` `add-exp-log`
6×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-r` `div-inv`
2×	`clear-num` `frac-2neg` `associate-*l/` `prod-exp` `tan-quot` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `flip--`

Counts

4 → 101

Calls

4 calls:

23.0ms	(- (/ 1.0 (sin B)) (* (/ 1.0 (tan B)) x))
4.0ms	(/ 1.0 (sin B))
5.0ms	(/ 1.0 (tan B))
30.0ms	(* (/ 1.0 (tan B)) x)

series402.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(- (/ 1.0 (sin B)) (* (/ 1.0 (tan B)) x))
29.0ms	(/ 1.0 (sin B))
53.0ms	(/ 1.0 (tan B))
136.0ms	(* (/ 1.0 (tan B)) x)

simplify1.5s

Counts

113 → 113

Iterations

Iter	Nodes
done	5001
2	1607
1	406
0	176

prune707.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
0.1b	(/ 1.0 (sin B))
0.2b	(/ (* x (cos B)) (sin B))
0.2b	(* x (cos B))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `add-cube-cbrt`
13×	`add-cbrt-cube` `add-exp-log`
12×	`times-frac`
6×	`pow1` `associate-/r*` `add-log-exp`
4×	`associate-/l*`
3×	`cbrt-undiv` `div-exp` `associate-r` `associate-l` `div-inv`
2×	`clear-num` `frac-2neg` `prod-exp` `associate-*r/` `cbrt-unprod`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `distribute-lft-out--` `sub-div` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

44.0ms	(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
9.0ms	(/ 1.0 (sin B))
19.0ms	(/ (* x (cos B)) (sin B))
14.0ms	(* x (cos B))

series362.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
26.0ms	(/ 1.0 (sin B))
133.0ms	(/ (* x (cos B)) (sin B))
46.0ms	(* x (cos B))

simplify1.4s

Counts

93 → 93

Iterations

Iter	Nodes
done	5001
2	1469
1	355
0	150

prune452.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (- 1.0 (* 1.0 (* x (cos B)))) (sin B))
0.2b	(* x (cos B))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 48

Calls

2 calls:

12.0ms	(/ (- 1.0 (* 1.0 (* x (cos B)))) (sin B))
7.0ms	(* x (cos B))

series171.0ms

Counts

2 → 6

Calls

2 calls:

126.0ms	(/ (- 1.0 (* 1.0 (* x (cos B)))) (sin B))
45.0ms	(* x (cos B))

simplify1.1s

Counts

54 → 54

Iterations

Iter	Nodes
done	5001
2	923
1	238
0	103

prune452.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

9.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

309.0ms	(* (cbrt x) (cbrt x))
249.0ms	(cbrt x)
260.0ms	(cbrt x)
333.0ms	(cbrt x)

simplify1.6s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
2	727
1	138
0	61

prune483.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes145.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	9

end0.0ms

sample6.3s

Algorithm

intervals

Results

2.0s	1734×	body	1280	valid
1.7s	1499×	body	640	valid
1.5s	4856×	body	80	valid
331.0ms	681×	body	320	valid
198.0ms	379×	body	160	valid