Details

sample563.0ms

Algorithm

intervals

Results

281.0ms	142×	body	1280	valid
125.0ms	61×	body	640	valid
80.0ms	256×	pre	80	true
15.0ms	17×	body	320	valid
9.0ms	29×	body	80	valid
5.0ms	7×	body	160	valid

simplify915.0ms

Counts

1 → 1

Iterations

Iter	Nodes
34	2015
33	1949
32	1871
31	1805
30	1727
29	1661
28	1583
27	1517
26	1439
25	1373
24	1295
23	1229
22	1151
21	1085
20	1007
19	941
18	863
17	797
16	719
15	653
14	575
13	510
12	430
11	354
10	254
9	186
8	103
7	71
6	61
5	46
4	35
3	29
2	22
1	15
0	9

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.4b

localize35.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ x (- (tan (+ y z)) (tan a)))
0.1b	(- (tan (+ y z)) (tan a))
3.4b	(tan (+ y z))

rewrite70.0ms

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` `insert-posit16` `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 → 75

Calls

3 calls:

28.0ms	(+ x (- (tan (+ y z)) (tan a)))
29.0ms	(- (tan (+ y z)) (tan a))
11.0ms	(tan (+ y z))

series503.0ms

Counts

3 → 9

Calls

3 calls:

191.0ms	(+ x (- (tan (+ y z)) (tan a)))
202.0ms	(- (tan (+ y z)) (tan a))
108.0ms	(tan (+ y z))

simplify757.0ms

Counts

84 → 84

Iterations

Iter	Nodes
3	2061
2	649
1	284
0	131

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize42.0ms

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

rewrite289.0ms

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` `insert-posit16` `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 → 211

Calls

4 calls:

16.0ms	(+ (tan y) (tan z))
139.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
111.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
15.0ms	(* (tan y) (tan z))

series1.6s

Counts

4 → 12

Calls

4 calls:

180.0ms	(+ (tan y) (tan z))
640.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
610.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
136.0ms	(* (tan y) (tan z))

simplify2.5s

Counts

223 → 223

Iterations

Iter	Nodes
3	5134
2	1694
1	686
0	301

prune3.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize114.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (tan y) (tan z))
0.2b	(fma (/ (+ (tan y) (tan z)) (- (pow 1 3) (pow (* (tan y) (tan z)) 3))) (+ (* 1 1) (+ (* (* (tan y) (tan z)) (* (tan y) (tan z))) (* 1 (* (tan y) (tan z))))) (- (tan a)))
0.3b	(* (* (tan y) (tan z)) (* (tan y) (tan z)))
0.3b	(pow (* (tan y) (tan z)) 3)

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

48×	`pow1`
40×	`tan-quot`
21×	`add-cbrt-cube` `add-exp-log`
19×	`frac-times` `pow-prod-down`
13×	`associate-l/` `associate-r/`
10×	`prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `associate-r` `associate-l` `pow-sqr` `pow-prod-up` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cube-div` `pow-unpow`
2×	`pow-pow` `pow-plus` `pow-exp` `*-commutative` `rem-cube-cbrt`
1×	`pow2` `cube-mult` `pow-to-exp` `unpow-prod-down` `unpow3` `cube-prod` `swap-sqr` `fma-udef` `unswap-sqr` `sqr-pow`

Counts

4 → 115

Calls

4 calls:

23.0ms	(* (tan y) (tan z))
1.0ms	(fma (/ (+ (tan y) (tan z)) (- (pow 1 3) (pow (* (tan y) (tan z)) 3))) (+ (* 1 1) (+ (* (* (tan y) (tan z)) (* (tan y) (tan z))) (* 1 (* (tan y) (tan z))))) (- (tan a)))
113.0ms	(* (* (tan y) (tan z)) (* (tan y) (tan z)))
23.0ms	(pow (* (tan y) (tan z)) 3)

series2.1s

Counts

4 → 12

Calls

4 calls:

138.0ms	(* (tan y) (tan z))
1.6s	(fma (/ (+ (tan y) (tan z)) (- (pow 1 3) (pow (* (tan y) (tan z)) 3))) (+ (* 1 1) (+ (* (* (tan y) (tan z)) (* (tan y) (tan z))) (* 1 (* (tan y) (tan z))))) (- (tan a)))
215.0ms	(* (* (tan y) (tan z)) (* (tan y) (tan z)))
198.0ms	(pow (* (tan y) (tan z)) 3)

simplify1.4s

Counts

127 → 127

Iterations

Iter	Nodes
2	2984
1	648
0	218

prune2.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize99.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (tan y) (tan z))) (cbrt (* (tan y) (tan z))))
6.9b	(cbrt (* (tan y) (tan z)))
6.9b	(cbrt (* (tan y) (tan z)))
6.9b	(cbrt (* (tan y) (tan z)))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

44×	`tan-quot`
33×	`cbrt-div`
20×	`frac-times`
14×	`associate-l/` `associate-r/`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 94

Calls

4 calls:

107.0ms	(* (cbrt (* (tan y) (tan z))) (cbrt (* (tan y) (tan z))))
12.0ms	(cbrt (* (tan y) (tan z)))
9.0ms	(cbrt (* (tan y) (tan z)))
9.0ms	(cbrt (* (tan y) (tan z)))

series914.0ms

Counts

4 → 12

Calls

4 calls:

257.0ms	(* (cbrt (* (tan y) (tan z))) (cbrt (* (tan y) (tan z))))
244.0ms	(cbrt (* (tan y) (tan z)))
210.0ms	(cbrt (* (tan y) (tan z)))
203.0ms	(cbrt (* (tan y) (tan z)))

simplify3.1s

Counts

106 → 106

Iterations

Iter	Nodes
4	6697
3	1852
2	647
1	272
0	124

prune2.4s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes504.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
2	33
1	33
0	26

end0.0ms

sample14.8s

Algorithm

intervals

Results

8.8s	3931×	body	1280	valid
3.0s	2003×	body	640	valid
917.0ms	8000×	pre	80	true
761.0ms	1101×	body	80	valid
590.0ms	693×	body	320	valid
161.0ms	272×	body	160	valid