Details

sample357.0ms

Algorithm

intervals

Results

196.0ms	101×	body	2560	valid
106.0ms	83×	body	1280	valid
25.0ms	46×	body	640	valid
8.0ms	256×	pre	80	true
7.0ms	16×	body	320	valid
3.0ms	10×	body	160	valid

simplify14.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.9b

localize13.0ms

Local error

Found 2 expressions with local error:

2.3b	(- (/ 1 x) (/ 1 (tan x)))
0.0b	(/ 1 (tan x))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

279×	`times-frac`
232×	`add-sqr-sqrt`
224×	`*-un-lft-identity`
208×	`add-cube-cbrt`
182×	`prod-diff`
33×	`div-inv`
14×	`tan-quot` `associate-/r/`
13×	`fma-neg`
9×	`difference-of-squares`
7×	`distribute-lft-out--`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow1` `associate-/r` `associate-/l`
2×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u`
1×	`cbrt-undiv` `rec-exp` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `1-exp` `frac-sub` `pow-flip` `flip--` `inv-pow`

Counts

2 → 262

Calls

2 calls:

Slowest

28.0ms	(- (/ 1 x) (/ 1 (tan x)))
7.0ms	(/ 1 (tan x))

series107.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

79.0ms	(- (/ 1 x) (/ 1 (tan x)))
28.0ms	(/ 1 (tan x))

simplify671.0ms

Counts: 268 → 268

prune2.4s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(fma x 1/3 (fma (* (* x x) x) 1/45 (* (pow x 5) 2/945)))
0.1b	(fma (* (* x x) x) 1/45 (* (pow x 5) 2/945))
0.1b	(* (pow x 5) 2/945)
0.1b	(* (* x x) x)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1`
14×	`add-sqr-sqrt` `add-exp-log`
11×	`add-cbrt-cube`
8×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
6×	`pow-plus` `associate-r` `prod-exp` `pow-prod-up`
4×	`expm1-log1p-u` `unpow-prod-down` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down`
2×	`pow2` `pow-sqr` `*-commutative` `fma-udef` `sqr-pow`
1×	`pow-to-exp` `pow3` `pow-exp`

Counts

4 → 81

Calls

4 calls:

Slowest

30.0ms	(* (* x x) x)
9.0ms	(* (pow x 5) 2/945)
0.0ms	(fma x 1/3 (fma (* (* x x) x) 1/45 (* (pow x 5) 2/945)))
0.0ms	(fma (* (* x x) x) 1/45 (* (pow x 5) 2/945))

series432.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

198.0ms	(fma (* (* x x) x) 1/45 (* (pow x 5) 2/945))
93.0ms	(* (pow x 5) 2/945)
76.0ms	(fma x 1/3 (fma (* (* x x) x) 1/45 (* (pow x 5) 2/945)))
64.0ms	(* (* x x) x)

simplify3.1s

Counts: 93 → 93

prune804.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (+ 1/3 (* x (* 1/45 x))))
0.2b	(* 1/45 x)
0.1b	(* x (* 1/45 x))
0.0b	(+ 1/3 (* x (* 1/45 x)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-l`
7×	`associate-r`
6×	`add-log-exp`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`fma-def` `*-commutative`
2×	`flip3-+` `associate-*r/` `flip-+` `unswap-sqr`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in`

Counts

4 → 84

Calls

4 calls:

Slowest

23.0ms	(* x (* 1/45 x))
19.0ms	(* x (+ 1/3 (* x (* 1/45 x))))
11.0ms	(+ 1/3 (* x (* 1/45 x)))
9.0ms	(* 1/45 x)

series211.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

99.0ms	(* x (+ 1/3 (* x (* 1/45 x))))
64.0ms	(+ 1/3 (* x (* 1/45 x)))
31.0ms	(* x (* 1/45 x))
16.0ms	(* 1/45 x)

simplify1.4s

Counts: 96 → 96

prune980.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.4b	(* x (- (* 1/3 1/3) (* (* x (* 1/45 x)) (* x (* 1/45 x)))))
0.4b	(/ (* x (- (* 1/3 1/3) (* (* x (* 1/45 x)) (* x (* 1/45 x))))) (- 1/3 (* x (* 1/45 x))))
0.2b	(* 1/45 x)
0.2b	(* 1/45 x)

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`add-cbrt-cube` `add-exp-log`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`pow1` `associate-r`
9×	`associate-l`
4×	`expm1-log1p-u` `prod-exp` `associate-*r/` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `associate-/r` `distribute-lft-in` `times-frac` `flip3--` `pow-prod-down` `-commutative` `flip--` `unswap-sqr`
2×	`cbrt-undiv` `sub-neg` `div-exp` `prod-diff` `associate-/r/` `associate-/l/`
1×	`clear-num` `frac-2neg` `div-inv` `associate-/l*` `difference-of-squares`

Counts

4 → 100

Calls

4 calls:

Slowest

27.0ms	(/ (* x (- (* 1/3 1/3) (* (* x (* 1/45 x)) (* x (* 1/45 x))))) (- 1/3 (* x (* 1/45 x))))
22.0ms	(* x (- (* 1/3 1/3) (* (* x (* 1/45 x)) (* x (* 1/45 x)))))
6.0ms	(* 1/45 x)
5.0ms	(* 1/45 x)

series472.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

241.0ms	(/ (* x (- (* 1/3 1/3) (* (* x (* 1/45 x)) (* x (* 1/45 x))))) (- 1/3 (* x (* 1/45 x))))
175.0ms	(* x (- (* 1/3 1/3) (* (* x (* 1/45 x)) (* x (* 1/45 x)))))
29.0ms	(* 1/45 x)
26.0ms	(* 1/45 x)

simplify651.0ms

Counts: 112 → 112

prune1.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes37.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample17.1s

Algorithm

intervals

Results

10.5s	3236×	body	2560	valid
3.9s	2475×	body	1280	valid
1.1s	1277×	body	640	valid
908.0ms	660×	body	320	valid
380.0ms	8000×	pre	80	true
120.0ms	309×	body	160	valid
9.0ms	43×	body	80	valid