Details

sample171.0ms

Algorithm

intervals

Results

102.0ms	136×	body	1280	valid
25.0ms	61×	body	640	valid
9.0ms	256×	pre	80	true
6.0ms	22×	body	320	valid
3.0ms	33×	body	80	valid
1.0ms	4×	body	160	valid

simplify19.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	5
1	22	5
2	33	5
3	39	5
4	50	5
5	70	5
6	99	5
7	124	5
8	166	5
9	259	5
10	260	5
11	260	5
done	260	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize17.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ x (- (tan (+ y z)) (tan a)))
0.2b	(- (tan (+ y z)) (tan a))
3.2b	(tan (+ y z))

rewrite39.0ms

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)))
17.0ms	(- (tan (+ y z)) (tan a))
6.0ms	(tan (+ y z))

series316.0ms

Counts

3 → 9

Calls

3 calls:

132.0ms	(+ x (- (tan (+ y z)) (tan a)))
124.0ms	(- (tan (+ y z)) (tan a))
60.0ms	(tan (+ y z))

simplify36.0ms

Counts

51 → 51

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	196	346
1	467	335
2	1316	334
3	5002	334
done	5002	334

prune148.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

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

rewrite255.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

131.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
28.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
78.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
15.0ms	(* (tan y) (tan z))

series1.1s

Counts

4 → 12

Calls

4 calls:

381.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
228.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
418.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
98.0ms	(* (tan y) (tan z))

simplify44.0ms

Counts

102 → 102

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	449	1259
1	1503	1211
2	5001	1204
done	5001	1204

prune347.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
0.2b	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
0.2b	(* (tan y) (tan z))
2.7b	(exp (+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))))

rewrite560.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
13×	`times-frac`
12×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
7×	`tan-quot`
6×	`pow1` `distribute-lft-out`
5×	`exp-prod`
4×	`associate-/l*`
3×	`associate-r` `associate-l` `associate-/r*` `rem-exp-log` `associate-/l/`
2×	`flip3--` `diff-log` `sum-log` `associate-/r/` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`cbrt-undiv` `frac-times` `associate-+r-` `sub-neg` `frac-2neg` `flip3-+` `exp-diff` `associate-r/` `div-exp` `exp-sum` `pow-prod-down` `associate-l/` `frac-add` `prod-exp` `clear-num` `*-commutative` `frac-sub` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`

Counts

4 → 90

Calls

4 calls:

28.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
76.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
15.0ms	(* (tan y) (tan z))
438.0ms	(exp (+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))))

series1.2s

Counts

4 → 12

Calls

4 calls:

225.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
415.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
99.0ms	(* (tan y) (tan z))
473.0ms	(exp (+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))))

simplify111.0ms

Counts

102 → 102

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	421	1210
1	1423	1140
2	4691	1132
3	5001	1132
done	5001	1132

prune408.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite250.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log` `add-cbrt-cube`
16×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt`
8×	`pow1`
6×	`associate-r` `associate-l` `add-log-exp`
5×	`tan-quot` `prod-exp` `associate-/r/` `cbrt-unprod`
3×	`cbrt-undiv` `frac-times` `flip3--` `times-frac` `div-exp` `associate-l/` `cos-mult` `flip--` `associate-/l`
2×	`associate-r/` `pow-prod-down` `-commutative` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `frac-2neg` `flip3-+` `diff-log` `clear-num` `associate-/r*` `frac-sub` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 84

Calls

4 calls:

11.0ms	(* (cos y) (sin z))
163.0ms	(- (/ (+ (* (sin y) (cos z)) (* (cos y) (sin z))) (* (- 1 (* (tan y) (tan z))) (* (cos y) (cos z)))) (tan a))
15.0ms	(* (tan y) (tan z))
58.0ms	(/ (+ (* (sin y) (cos z)) (* (cos y) (sin z))) (* (- 1 (* (tan y) (tan z))) (* (cos y) (cos z))))

series859.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (cos y) (sin z))
430.0ms	(- (/ (+ (* (sin y) (cos z)) (* (cos y) (sin z))) (* (- 1 (* (tan y) (tan z))) (* (cos y) (cos z)))) (tan a))
98.0ms	(* (tan y) (tan z))
285.0ms	(/ (+ (* (sin y) (cos z)) (* (cos y) (sin z))) (* (- 1 (* (tan y) (tan z))) (* (cos y) (cos z))))

simplify68.0ms

Counts

96 → 96

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	578	1414
1	2457	1256
2	5001	1256
done	5001	1256

prune408.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes260.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	19
1	31	19
done	31	19

end0.0ms

sample4.9s

Algorithm

intervals

Results

3.0s	3956×	body	1280	valid
859.0ms	1966×	body	640	valid
305.0ms	8000×	pre	80	true
204.0ms	674×	body	320	valid
104.0ms	1135×	body	80	valid
52.0ms	269×	body	160	valid