Details

sample171.0ms

Algorithm

intervals

Results

94.0ms	127×	body	1280	valid
34.0ms	61×	body	640	valid
10.0ms	256×	pre	80	true
7.0ms	23×	body	320	valid
3.0ms	17×	body	160	valid
2.0ms	28×	body	80	valid

simplify79.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	9
1	15	9
2	22	9
3	31	9
4	37	9
5	47	9
6	54	9
7	64	9
8	82	9
9	116	9
10	147	9
done	147	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
18×	`prod-diff`
17×	`add-cube-cbrt`
11×	`associate-+r+`
10×	`add-log-exp`
4×	`tan-quot`
3×	`pow1` `add-exp-log` `expm1-log1p-u` `fma-def` `fma-neg` `add-cbrt-cube` `log1p-expm1-u`
2×	`sub-neg` `tan-sum` `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 → 72

Calls

3 calls:

8.0ms	(+ x (- (tan (+ y z)) (tan a)))
8.0ms	(- (tan (+ y z)) (tan a))
3.0ms	(tan (+ y z))

series280.0ms

Counts

3 → 9

Calls

3 calls:

116.0ms	(+ x (- (tan (+ y z)) (tan a)))
115.0ms	(- (tan (+ y z)) (tan a))
49.0ms	(tan (+ y z))

simplify1.2s

Counts

81 → 81

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	128	1195
1	283	1008
2	706	882
3	2650	793
done	5000	792

prune227.0ms

Pruning

8 alts after pruning (8 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))))
0.1b	(+ (tan y) (tan z))
0.2b	(* (tan y) (tan z))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

92×	`*-un-lft-identity`
61×	`add-sqr-sqrt`
59×	`add-cube-cbrt`
56×	`associate-+r+`
54×	`prod-diff`
48×	`times-frac`
16×	`distribute-lft-out`
11×	`add-log-exp`
8×	`tan-quot` `add-exp-log` `associate-/r/` `add-cbrt-cube`
6×	`pow1` `fma-def`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `div-inv` `associate-/l*`
3×	`flip3-+` `associate-r` `associate-l` `associate-/r*` `sum-log` `flip-+` `associate-/l/`
2×	`+-commutative` `frac-add`
1×	`cbrt-undiv` `frac-times` `associate-+r-` `sub-neg` `frac-2neg` `diff-log` `associate-r/` `div-exp` `pow-prod-down` `associate-l/` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 155

Calls

4 calls:

81.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
11.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
3.0ms	(+ (tan y) (tan z))
5.0ms	(* (tan y) (tan z))

series730.0ms

Counts

4 → 12

Calls

4 calls:

335.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
212.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
92.0ms	(+ (tan y) (tan z))
92.0ms	(* (tan y) (tan z))

simplify55.0ms

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	284	3983