Details

sample179.0ms

Algorithm

intervals

Results

96.0ms	132×	body	1280	valid
32.0ms	58×	body	640	valid
10.0ms	256×	pre	80	true
6.0ms	22×	body	320	valid
3.0ms	36×	body	80	valid
1.0ms	8×	body	160	valid

simplify76.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	15	9
2	22	9
3	33	9
4	38	9
5	45	9
6	51	9
7	61	9
8	74	9
9	86	9
10	95	9
done	95	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.7b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ x (- (tan (+ y z)) (tan a)))
0.2b	(- (tan (+ y z)) (tan a))
4.2b	(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))

series307.0ms

Counts

3 → 9

Calls

3 calls:

131.0ms	(+ x (- (tan (+ y z)) (tan a)))
122.0ms	(- (tan (+ y z)) (tan a))
53.0ms	(tan (+ y z))

simplify2.2s

Counts

51 → 51

Iterations

Useful iterations: 3 (191.0ms)

Iter	Nodes	Cost
0	91	627
1	196	590
2	453	572
3	1243	570
4	4659	570
done	5000	570

prune140.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite134.0ms

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:

28.0ms	(/ (+ (tan z) (tan y)) (- 1 (* (tan z) (tan y))))
8.0ms	(+ (tan z) (tan y))
80.0ms	(- (/ (+ (tan z) (tan y)) (- 1 (* (tan z) (tan y)))) (tan a))
15.0ms	(* (tan z) (tan y))

series820.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(/ (+ (tan z) (tan y)) (- 1 (* (tan z) (tan y))))
94.0ms	(+ (tan z) (tan y))
407.0ms	(- (/ (+ (tan z) (tan y)) (- 1 (* (tan z) (tan y)))) (tan a))
95.0ms	(* (tan z) (tan y))

simplify1.7s

Counts

98 → 98

Iterations

Useful iterations: 3 (669.0ms)

Iter	Nodes	Cost
0	175	1716
1	395	1641
2	1071	1571
3	2841	1559
done	5001	1559

prune350.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

8.0ms	(+ (tan z) (tan y))
145.0ms	(- (/ (+ (tan z) (tan y)) (- 1 (/ (* (sin z) (tan y)) (cos z)))) (tan a))
16.0ms	(/ (* (sin z) (tan y)) (cos z))
13.0ms	(* (sin z) (tan y))

series684.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(+ (tan z) (tan y))
410.0ms	(- (/ (+ (tan z) (tan y)) (- 1 (/ (* (sin z) (tan y)) (cos z)))) (tan a))
102.0ms	(/ (* (sin z) (tan y)) (cos z))
80.0ms	(* (sin z) (tan y))

simplify2.0s

Counts

82 → 82

Iterations

Useful iterations: 3 (983.0ms)

Iter	Nodes	Cost
0	166	1244
1	384	1218
2	1183	1108
3	4390	1092
done	5001	1092

prune324.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sin z) (tan y))
0.3b	(* (tan y) (tan y))
0.3b	(* (tan z) (tan z))
3.5b	(/ (- (* (tan z) (tan z)) (* (tan y) (tan y))) (- (tan z) (tan y)))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 131

Calls

4 calls:

13.0ms	(* (sin z) (tan y))
16.0ms	(* (tan y) (tan y))
15.0ms	(* (tan z) (tan z))
57.0ms	(/ (- (* (tan z) (tan z)) (* (tan y) (tan y))) (- (tan z) (tan y)))

series379.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* (sin z) (tan y))
32.0ms	(* (tan y) (tan y))
35.0ms	(* (tan z) (tan z))
231.0ms	(/ (- (* (tan z) (tan z)) (* (tan y) (tan y))) (- (tan z) (tan y)))

simplify939.0ms

Counts

143 → 143

Iterations

Useful iterations: done (935.0ms)

Iter	Nodes	Cost
0	223	2136
1	519	1924
2	1684	1658
done	5001	1626

prune547.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes331.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	45
1	37	45
done	37	45

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.9s	3879×	body	1280	valid
843.0ms	1964×	body	640	valid
316.0ms	8000×	pre	80	true
186.0ms	660×	body	320	valid
117.0ms	1178×	body	80	valid
68.0ms	319×	body	160	valid