Details

sample678.0ms

Algorithm

intervals

Results

266.0ms	65×	body	2560	valid
178.0ms	76×	body	1280	valid
56.0ms	47×	body	640	valid
36.0ms	39×	body	320	valid
10.0ms	18×	body	160	valid
3.0ms	11×	body	80	valid

simplify43.0ms

Counts: 1 → 1

prune38.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.4b

localize18.0ms

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)))

rewrite47.0ms

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×	`associate-/r` `add-cbrt-cube` `add-exp-log` `associate-/l`
4×	`flip3--` `flip--`
3×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
2×	`sub-neg` `diff-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `div-inv`

Counts

3 → 113

Calls

3 calls:

Slowest

28.0ms	(/ (- x (sin x)) (- x (tan x)))
8.0ms	(- x (tan x))
8.0ms	(- x (sin x))

series275.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

112.0ms	(/ (- x (sin x)) (- x (tan x)))
101.0ms	(- x (tan x))
62.0ms	(- x (sin x))

simplify1.7s

Counts: 122 → 122

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

12.6b	(- (fma 9/40 (* x x) -1/2) (* 27/2800 (* (* x x) (* x x))))
0.5b	(* 27/2800 (* (* x x) (* x x)))
0.3b	(fma 9/40 (* x x) -1/2)
0.1b	(* (* x x) (* x x))

rewrite171.0ms

Algorithm

rewrite-expression-head

Rules

133×	`pow1`
36×	`pow-prod-down` `pow-prod-up`
34×	`add-cbrt-cube` `add-exp-log`
22×	`pow-sqr`
21×	`prod-exp` `cbrt-unprod`
18×	`pow-plus`
13×	`pow2`
8×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`add-log-exp`
4×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u`
3×	`fma-neg` `prod-diff`
2×	`associate-r` `*-commutative` `fma-udef` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `swap-sqr` `associate--l+` `flip--`

Counts

4 → 130

Calls

4 calls:

Slowest

103.0ms	(* 27/2800 (* (* x x) (* x x)))
44.0ms	(* (* x x) (* x x))
20.0ms	(- (fma 9/40 (* x x) -1/2) (* 27/2800 (* (* x x) (* x x))))
0.0ms	(fma 9/40 (* x x) -1/2)

series288.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

82.0ms	(fma 9/40 (* x x) -1/2)
79.0ms	(* 27/2800 (* (* x x) (* x x)))
69.0ms	(- (fma 9/40 (* x x) -1/2) (* 27/2800 (* (* x x) (* x x))))
58.0ms	(* (* x x) (* x x))

simplify1.1s

Counts: 142 → 142

prune971.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

15.8b	(/ (- (pow x 3) (pow (sin x) 3)) (* (- x (tan x)) (fma (sin x) (+ x (sin x)) (* x x))))
1.5b	(- x (tan x))
1.4b	(- (pow x 3) (pow (sin x) 3))
0.3b	(pow (sin x) 3)

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

165×	`add-sqr-sqrt`
153×	`prod-diff`
123×	`*-un-lft-identity`
114×	`unpow-prod-down` `cube-prod`
91×	`add-cube-cbrt`
50×	`sqr-pow`
49×	`difference-of-squares`
26×	`cube-mult` `unpow3`
25×	`times-frac` `associate-/l*`
16×	`distribute-lft-out--`
15×	`fma-neg`
10×	`add-cbrt-cube` `add-exp-log`
8×	`add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `flip3--` `insert-posit16` `log1p-expm1-u` `flip--`
3×	`difference-cubes` `pow-unpow`
2×	`cbrt-undiv` `sub-neg` `diff-log` `div-exp` `associate-*l/` `associate-/r/` `associate-/l/`
1×	`pow-to-exp` `clear-num` `associate-/r*` `pow-pow` `frac-2neg` `div-sub` `pow-exp` `prod-exp` `cbrt-unprod` `div-inv` `rem-cube-cbrt`

Counts

4 → 321

Calls

4 calls:

Slowest

52.0ms	(/ (- (pow x 3) (pow (sin x) 3)) (* (- x (tan x)) (fma (sin x) (+ x (sin x)) (* x x))))
19.0ms	(- (pow x 3) (pow (sin x) 3))
6.0ms	(pow (sin x) 3)
5.0ms	(- x (tan x))

series707.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

430.0ms	(/ (- (pow x 3) (pow (sin x) 3)) (* (- x (tan x)) (fma (sin x) (+ x (sin x)) (* x x))))
145.0ms	(- (pow x 3) (pow (sin x) 3))
77.0ms	(- x (tan x))
55.0ms	(pow (sin x) 3)

simplify1.7s

Counts: 333 → 333

prune4.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes72.0ms

Accuracy

100% (0.0b remaining)

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

bsearch195.0ms

end0.0ms

sample15.3s

Algorithm

intervals

Results

7.2s	1632×	body	2560	valid
5.0s	2787×	body	1280	valid
2.0s	1811×	body	640	valid
750.0ms	918×	body	320	valid
197.0ms	479×	body	160	valid
85.0ms	373×	body	80	valid