Details

sample343.0ms

Algorithm

intervals

Results

205.0ms	122×	body	1280	valid
53.0ms	69×	body	640	valid
18.0ms	256×	pre	80	true
16.0ms	25×	body	320	valid
5.0ms	30×	body	80	valid
3.0ms	10×	body	160	valid

simplify6.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
9	4724
8	1354
7	446
6	193
5	89
4	39
3	33
2	22
1	15
0	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.1b	(- (tan (+ y z)) (tan a))
0.1b	(+ x (- (tan (+ y z)) (tan a)))
4.5b	(tan (+ y z))

rewrite72.0ms

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×	`expm1-log1p-u` `pow1` `fma-def` `add-cbrt-cube` `fma-neg` `add-exp-log` `log1p-expm1-u`
2×	`tan-sum` `sum-log` `sub-neg` `diff-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:

30.0ms	(- (tan (+ y z)) (tan a))
28.0ms	(+ x (- (tan (+ y z)) (tan a)))
11.0ms	(tan (+ y z))

series557.0ms

Counts

3 → 9

Calls

3 calls:

166.0ms	(- (tan (+ y z)) (tan a))
266.0ms	(+ x (- (tan (+ y z)) (tan a)))
124.0ms	(tan (+ y z))

simplify1.3s

Counts

81 → 81

Iterations

Iter	Nodes
done	5001
2	1006
1	285
0	128

prune606.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize60.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (tan y) (tan z))
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)))) (tan a))
0.2b	(* (tan y) (tan z))

rewrite305.0ms

Algorithm

rewrite-expression-head

Rules

151×	`*-un-lft-identity`
108×	`prod-diff`
107×	`add-sqr-sqrt`
100×	`add-cube-cbrt`
85×	`times-frac`
56×	`associate-+r+`
24×	`distribute-lft-out`
18×	`fma-neg`
14×	`associate-/r/`
13×	`add-log-exp`
8×	`flip3--` `flip--`
7×	`tan-quot` `div-inv`
6×	`pow1` `fma-def` `add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`sum-log` `associate-r` `associate-l`
2×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `flip-+` `distribute-lft-out--` `difference-of-squares`
1×	`frac-times` `associate-+r-` `pow-prod-down` `associate-l/` `frac-add` `prod-exp` `associate-r/` `*-commutative` `frac-sub` `cbrt-unprod` `unswap-sqr`

Counts

4 → 207

Calls

4 calls:

7.0ms	(+ (tan y) (tan z))
164.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
100.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
24.0ms	(* (tan y) (tan z))

series1.5s

Counts

4 → 12

Calls

4 calls:

138.0ms	(+ (tan y) (tan z))
537.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
634.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
173.0ms	(* (tan y) (tan z))

simplify1.7s

Counts

219 → 219

Iterations

Iter	Nodes
done	5001
2	2697
1	700
0	297

prune1.3s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite373.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
16×	`add-cube-cbrt`
13×	`add-log-exp`
12×	`prod-diff`
8×	`tan-quot`
7×	`distribute-lft-out`
6×	`pow1` `fma-def` `add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `fma-neg` `log1p-expm1-u`
3×	`sum-log` `flip3-+` `associate-r` `associate-l` `flip-+`
2×	`+-commutative` `diff-log` `frac-sub` `distribute-lft-out--`
1×	`frac-times` `sub-neg` `flip3--` `pow-prod-down` `associate-l/` `frac-add` `prod-exp` `associate--l+` `associate-r/` `*-commutative` `cbrt-unprod` `flip--` `difference-of-squares` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

7.0ms	(+ (tan y) (tan z))
34.0ms	(+ x (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))))
318.0ms	(- (+ x (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))) (tan a))
12.0ms	(* (tan y) (tan z))

series1.2s

Counts

4 → 12

Calls

4 calls:

128.0ms	(+ (tan y) (tan z))
404.0ms	(+ x (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))))
557.0ms	(- (+ x (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))) (tan a))
139.0ms	(* (tan y) (tan z))

simplify1.4s

Counts

107 → 107

Iterations

Iter	Nodes
done	5002
2	1687
1	448
0	181

prune685.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize84.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (tan y)) (cbrt (tan y)))
0.6b	(cbrt (tan y))
0.6b	(cbrt (tan y))
0.6b	(cbrt (tan y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
7×	`cbrt-div` `tan-quot`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

22.0ms	(* (cbrt (tan y)) (cbrt (tan y)))
2.0ms	(cbrt (tan y))
2.0ms	(cbrt (tan y))
2.0ms	(cbrt (tan y))

series699.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(* (cbrt (tan y)) (cbrt (tan y)))
146.0ms	(cbrt (tan y))
178.0ms	(cbrt (tan y))
182.0ms	(cbrt (tan y))

simplify3.5s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
3	3739
2	671
1	201
0	90

prune581.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes467.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	26
1	26
0	21

end0.0ms

sample9.9s

Algorithm

intervals

Results

6.1s	3863×	body	1280	valid
1.5s	1948×	body	640	valid
643.0ms	1152×	body	80	valid
583.0ms	8000×	pre	80	true
437.0ms	728×	body	320	valid
145.0ms	309×	body	160	valid