Details

sample1.3s

Algorithm

intervals

Results

178.0ms	98×	body	1280	valid
144.0ms	45×	body	2560	valid
136.0ms	59×	body	640	valid
13.0ms	29×	body	320	valid
6.0ms	15×	body	160	valid
2.0ms	10×	body	80	valid

simplify17.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.8b

localize14.0ms

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))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 80

Calls

3 calls:

51.0ms	(/ (- x (sin x)) (- x (tan x)))
11.0ms	(- x (tan x))
16.0ms	(- x (sin x))

series265.0ms

Counts

3 → 9

Calls

3 calls:

124.0ms	(/ (- x (sin x)) (- x (tan x)))
92.0ms	(- x (tan x))
48.0ms	(- x (sin x))

simplify798.0ms

Counts

89 → 89

Iterations

Useful iterations: done (790.0ms)

Iter	Nodes	Cost
0	157	1237
1	371	1200
2	1358	1149
done	5001	1147

prune386.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 27/2800 (pow x 4)) 1/2)
0.1b	(* 9/40 (pow x 2))
0.5b	(* 27/2800 (pow x 4))
15.6b	(- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
15×	`associate-r`
14×	`add-exp-log`
11×	`add-log-exp`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down` `add-cbrt-cube`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`pow1` `sqr-pow`
2×	`pow-to-exp` `diff-log` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod` `unpow2`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `flip--` `flip-+` `associate--r+`

Counts

4 → 77

Calls

4 calls:

15.0ms	(+ (* 27/2800 (pow x 4)) 1/2)
25.0ms	(* 9/40 (pow x 2))
23.0ms	(* 27/2800 (pow x 4))
20.0ms	(- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2))

series320.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(+ (* 27/2800 (pow x 4)) 1/2)
47.0ms	(* 9/40 (pow x 2))
70.0ms	(* 27/2800 (pow x 4))
52.0ms	(- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2))

simplify973.0ms

Counts

89 → 89

Iterations

Useful iterations: 2 (239.0ms)

Iter	Nodes	Cost
0	135	954
1	336	834
2	1232	774
done	5000	774

prune292.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes84.0ms

Accuracy

100% (0.0b remaining)

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

bsearch153.0ms

Steps

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

simplify7.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	23	39
1	29	31
done	29	31

end0.0ms

sample13.7s

Algorithm

intervals

Results

6.0s	1571×	body	2560	valid
4.2s	2836×	body	1280	valid
2.5s	1859×	body	640	valid
401.0ms	932×	body	320	valid
144.0ms	442×	body	160	valid
67.0ms	360×	body	80	valid