Details

sample672.0ms

Algorithm

intervals

Results

305.0ms	65×	body	2560	valid
139.0ms	76×	body	1280	valid
51.0ms	47×	body	640	valid
35.0ms	39×	body	320	valid
9.0ms	18×	body	160	valid
4.0ms	11×	body	80	valid

simplify44.0ms

Counts: 1 → 1

prune51.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.4b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite60.0ms

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×	`associate-/r` `add-cbrt-cube` `add-exp-log` `associate-/l`
4×	`flip3--` `flip--`
3×	`pow1` `insert-posit16`
2×	`sub-neg` `diff-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `div-inv`

Counts

3 → 83

Calls

3 calls:

Slowest

35.0ms	(/ (- x (sin x)) (- x (tan x)))
13.0ms	(- x (sin x))
8.0ms	(- x (tan x))

series268.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

133.0ms	(/ (- x (sin x)) (- x (tan x)))
69.0ms	(- x (sin x))
66.0ms	(- x (tan x))

simplify986.0ms

Counts: 92 → 92

prune784.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

12.6b	(- (* (* x x) 9/40) (* (* (* x x) (* x x)) 27/2800))
0.5b	(* (* (* x x) (* x x)) 27/2800)
0.4b	(* (* x x) 9/40)
0.1b	(* (* x x) (* x x))

rewrite162.0ms

Algorithm

rewrite-expression-head

Rules

138×	`pow1`
39×	`add-cbrt-cube` `pow-prod-down` `add-exp-log`
36×	`pow-prod-up`
24×	`prod-exp` `cbrt-unprod`
22×	`pow-sqr`
18×	`pow-plus`
13×	`pow2`
8×	`add-sqr-sqrt`
7×	`associate-r`
6×	`*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
4×	`insert-posit16`
3×	`associate-l` `*-commutative` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `swap-sqr` `flip--`

Counts

4 → 126

Calls

4 calls:

Slowest

88.0ms	(* (* (* x x) (* x x)) 27/2800)
41.0ms	(* (* x x) (* x x))
15.0ms	(- (* (* x x) 9/40) (* (* (* x x) (* x x)) 27/2800))
13.0ms	(* (* x x) 9/40)

series410.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

219.0ms	(- (* (* x x) 9/40) (* (* (* x x) (* x x)) 27/2800))
74.0ms	(* (* (* x x) (* x x)) 27/2800)
64.0ms	(* (* x x) (* x x))
52.0ms	(* (* x x) 9/40)

simplify1.6s

Counts: 138 → 138

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
4×	`pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 60

Calls

4 calls:

Slowest

5.0ms	(- x (sin x))
4.0ms	(- x (tan x))
4.0ms	(- x (tan x))
4.0ms	(- x (tan x))

series293.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

86.0ms	(- x (tan x))
78.0ms	(- x (tan x))
76.0ms	(- x (tan x))
52.0ms	(- x (sin x))

simplify779.0ms

Counts: 72 → 72

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes95.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 31.8b

bsearch141.0ms

end0.0ms

sample16.4s

Algorithm

intervals

Results

6.9s	1632×	body	2560	valid
6.3s	2787×	body	1280	valid
2.0s	1811×	body	640	valid
726.0ms	918×	body	320	valid
293.0ms	479×	body	160	valid
97.0ms	373×	body	80	valid