Details

sample667.0ms

Algorithm

intervals

Results

332.0ms	53×	body	2560	valid
146.0ms	86×	body	1280	valid
44.0ms	61×	body	640	valid
15.0ms	34×	body	320	valid
5.0ms	16×	body	160	valid
1.0ms	6×	body	80	valid

simplify25.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.3b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- x (sin x)) (- x (tan x)))
0.9b	(- x (tan x))
0.9b	(- x (sin x))

rewrite76.0ms

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:

54.0ms	(/ (- x (sin x)) (- x (tan x)))
6.0ms	(- x (tan x))
10.0ms	(- x (sin x))

series414.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(/ (- x (sin x)) (- x (tan x)))
246.0ms	(- x (tan x))
64.0ms	(- x (sin x))

simplify1.5s

Counts: 89 → 89

prune355.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.1b	(* 9/40 (pow x 2))
0.3b	(* 27/2800 (pow x 4))
13.8b	(- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

25.0ms	(* 9/40 (pow x 2))
25.0ms	(* 27/2800 (pow x 4))
39.0ms	(- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2))

series155.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(* 9/40 (pow x 2))
53.0ms	(* 27/2800 (pow x 4))
59.0ms	(- (* 9/40 (pow x 2)) (+ (* 27/2800 (pow x 4)) 1/2))

simplify602.0ms

Counts: 75 → 75

prune241.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes86.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 32.5b

bsearch132.0ms

Steps

Iters	Range		Point
10	1.3099675947624547e-09	64828.07766974042	0.02838856156577739
9	-1.9338314318659307	-5.99435871131559e-06	-0.02393875230028381

simplify1.1s

end0.0ms

sample13.9s

Algorithm

intervals

Results

6.3s	1633×	body	2560	valid
4.6s	2728×	body	1280	valid
1.5s	1868×	body	640	valid
904.0ms	933×	body	320	valid
147.0ms	483×	body	160	valid
62.0ms	355×	body	80	valid