Details

sample331.0ms

Algorithm

intervals

Results

157.0ms	124×	body	1280	valid
64.0ms	27×	body	320	valid
44.0ms	58×	body	640	valid
15.0ms	256×	pre	80	true
5.0ms	35×	body	80	valid
4.0ms	12×	body	160	valid

simplify6.1s

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	39	9
5	89	9
6	193	9
7	446	9
8	1354	9
9	4724	9
done	5000	9

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize15.0ms

Local error

Found 3 expressions with local error:

0.1b	(- (tan (+ y z)) (tan a))
0.2b	(+ x (- (tan (+ y z)) (tan a)))
3.5b	(tan (+ y z))

rewrite40.0ms

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:

19.0ms	(- (tan (+ y z)) (tan a))
13.0ms	(+ x (- (tan (+ y z)) (tan a)))
6.0ms	(tan (+ y z))

series352.0ms

Counts

3 → 9

Calls

3 calls:

148.0ms	(- (tan (+ y z)) (tan a))
145.0ms	(+ x (- (tan (+ y z)) (tan a)))
60.0ms	(tan (+ y z))

simplify818.0ms

Counts

81 → 81

Iterations

Useful iterations: done (816.0ms)

Iter	Nodes	Cost
0	128	1195
1	285	1011
2	1006	882
done	5001	795

prune424.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite251.0ms

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:

90.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
133.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
7.0ms	(+ (tan y) (tan z))
12.0ms	(* (tan y) (tan z))

series1.3s

Counts

4 → 12

Calls

4 calls:

537.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
518.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
136.0ms	(+ (tan y) (tan z))
151.0ms	(* (tan y) (tan z))

simplify2.2s

Counts

219 → 219

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	297	6641
1	703	5567
2	2723	5029
done	5001	4679

prune1.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (* (+ (tan y) (tan z)) (/ 1 (- 1 (* (tan y) (tan z))))) (tan a))
0.1b	(+ x (+ (- (* (+ (tan y) (tan z)) (/ 1 (- 1 (* (tan y) (tan z))))) (tan a)) (* (tan a) 0)))
0.2b	(+ (tan y) (tan z))
0.2b	(* (tan y) (tan z))

rewrite268.0ms

Algorithm

rewrite-expression-head

Rules

18×	`tan-quot`
17×	`add-log-exp`
13×	`*-un-lft-identity`
11×	`add-sqr-sqrt`
9×	`add-cube-cbrt`
8×	`frac-sub`
6×	`pow1` `sum-log` `fma-def` `add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `frac-times` `flip3-+` `associate-*l/` `flip-+` `log1p-expm1-u`
3×	`associate-r` `associate-l` `prod-diff` `frac-add`
2×	`+-commutative` `diff-log` `associate-*r/` `distribute-lft-out`
1×	`associate-+r+` `associate-+r-` `sub-neg` `flip3--` `fma-neg` `pow-prod-down` `prod-exp` `un-div-inv` `*-commutative` `associate-+l-` `cbrt-unprod` `flip--` `unswap-sqr`

Counts

4 → 88

Calls

4 calls:

35.0ms	(- (* (+ (tan y) (tan z)) (/ 1 (- 1 (* (tan y) (tan z))))) (tan a))
213.0ms	(+ x (+ (- (* (+ (tan y) (tan z)) (/ 1 (- 1 (* (tan y) (tan z))))) (tan a)) (* (tan a) 0)))
6.0ms	(+ (tan y) (tan z))
11.0ms	(* (tan y) (tan z))

series1.3s

Counts

4 → 12

Calls

4 calls:

538.0ms	(- (* (+ (tan y) (tan z)) (/ 1 (- 1 (* (tan y) (tan z))))) (tan a))
505.0ms	(+ x (+ (- (* (+ (tan y) (tan z)) (/ 1 (- 1 (* (tan y) (tan z))))) (tan a)) (* (tan a) 0)))
117.0ms	(+ (tan y) (tan z))
126.0ms	(* (tan y) (tan z))

simplify1.9s

Counts

100 → 100

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	219	2101
1	595	1917
2	2986	1659
done	5000	1657

prune687.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
0.2b	(+ (tan y) (tan z))
0.2b	(* (tan y) (tan z))
2.2b	(exp (+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))))

rewrite633.0ms

Algorithm

rewrite-expression-head

Rules

81×	`*-un-lft-identity`
56×	`associate-+r+`
54×	`prod-diff`
53×	`add-sqr-sqrt`
51×	`add-cube-cbrt`
36×	`times-frac`
17×	`add-log-exp`
14×	`distribute-lft-out`
6×	`pow1` `fma-def` `add-cbrt-cube` `tan-quot` `add-exp-log` `associate-/r/`
5×	`exp-prod` `sum-log`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`flip3--` `associate-r` `associate-l` `div-inv` `flip--` `rem-exp-log`
2×	`+-commutative` `associate-+r-` `flip3-+` `diff-log` `flip-+` `distribute-lft-out--`
1×	`frac-times` `sub-neg` `exp-diff` `exp-sum` `pow-prod-down` `associate-l/` `frac-add` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 136

Calls

4 calls:

139.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
7.0ms	(+ (tan y) (tan z))
13.0ms	(* (tan y) (tan z))
469.0ms	(exp (+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))))

series1.4s

Counts

4 → 12

Calls

4 calls:

519.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
119.0ms	(+ (tan y) (tan z))
115.0ms	(* (tan y) (tan z))
603.0ms	(exp (+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))))

simplify1.7s

Counts

148 → 148

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	283	3573
1	657	3220
2	2471	3008
done	5001	2778

prune801.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

regimes395.0ms

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	18	25
1	25	25
done	25	25

end0.0ms

sample8.1s

Algorithm

intervals

Results

4.7s	3837×	body	1280	valid
1.6s	2048×	body	640	valid
723.0ms	8000×	pre	80	true
295.0ms	717×	body	320	valid
197.0ms	1107×	body	80	valid
72.0ms	291×	body	160	valid