Details

sample650.0ms

Algorithm

intervals

Results

274.0ms	98×	body	1280	valid
175.0ms	45×	body	2560	valid
46.0ms	59×	body	640	valid
40.0ms	15×	body	160	valid
17.0ms	29×	body	320	valid
2.0ms	10×	body	80	valid

simplify30.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	9
1	13	9
2	17	9
3	19	9
done	19	9

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.8b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x (sin x)) (- x (tan x)))
1.5b	(- x (tan x))
1.5b	(- x (sin x))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt` `*-un-lft-identity`
29×	`add-cube-cbrt`
25×	`times-frac`
18×	`prod-diff`
14×	`distribute-lft-out--` `difference-of-squares`
7×	`add-log-exp`
6×	`fma-neg`
5×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
4×	`flip3--` `flip--`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`sub-neg` `diff-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

3 → 110

Calls

3 calls:

54.0ms	(/ (- x (sin x)) (- x (tan x)))
19.0ms	(- x (tan x))
73.0ms	(- x (sin x))

series297.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms	(/ (- x (sin x)) (- x (tan x)))
99.0ms	(- x (tan x))
89.0ms	(- x (sin x))

simplify2.1s

Counts

119 → 119

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	209	1823
1	501	1569
2	2266	1386
done	5002	1362

prune362.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.1b	(* 9/40 (pow x 2))
0.5b	(fma 27/2800 (pow x 4) 1/2)
15.6b	(- (* 9/40 (pow x 2)) (fma 27/2800 (pow x 4) 1/2))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
8×	`add-exp-log` `associate-r`
7×	`add-cube-cbrt` `*-un-lft-identity`
5×	`add-cbrt-cube` `add-log-exp`
4×	`unpow-prod-down` `unswap-sqr`
3×	`pow1` `expm1-log1p-u` `associate-l` `prod-diff` `prod-exp` `log1p-expm1-u`
2×	`fma-udef` `unpow2` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `flip3--` `fma-neg` `diff-log` `pow-exp` `*-commutative` `flip--` `cbrt-unprod` `associate--r+`

Counts

3 → 58

Calls

3 calls:

25.0ms	(* 9/40 (pow x 2))
0.0ms	(fma 27/2800 (pow x 4) 1/2)
12.0ms	(- (* 9/40 (pow x 2)) (fma 27/2800 (pow x 4) 1/2))

series251.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(* 9/40 (pow x 2))
140.0ms	(fma 27/2800 (pow x 4) 1/2)
61.0ms	(- (* 9/40 (pow x 2)) (fma 27/2800 (pow x 4) 1/2))

simplify1.6s

Counts

67 → 67

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	106	845
1	250	714
2	1254	624
done	5001	581

prune214.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes63.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 31.3b

bsearch160.0ms

Steps

Iters	Range		Point
9	0.00015484893005477947	28918.939680702064	0.03214934687220063
10	-2676750800.736259	-2.9526231381329305e-09	-0.02908178396942002

simplify25.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	22	38
1	26	30
done	26	30

end0.0ms

sample13.7s

Algorithm

intervals

Results

5.8s	1571×	body	2560	valid
5.0s	2836×	body	1280	valid
1.4s	1859×	body	640	valid
988.0ms	932×	body	320	valid
217.0ms	442×	body	160	valid
60.0ms	360×	body	80	valid