Details

sample434.0ms

Algorithm

intervals

Results

278.0ms	112×	body	2560	valid
101.0ms	84×	body	1280	valid
24.0ms	35×	body	640	valid
9.0ms	256×	pre	80	true
8.0ms	17×	body	320	valid
2.0ms	7×	body	160	valid
0.0ms	1×	body	80	valid

simplify44.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.9b

localize11.0ms

Local error

Found 1 expressions with local error:

2.4b	(- (/ 1 x) (/ 1 (tan x)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

270×	`times-frac`
223×	`add-sqr-sqrt`
215×	`*-un-lft-identity`
199×	`add-cube-cbrt`
182×	`prod-diff`
32×	`div-inv`
13×	`fma-neg` `tan-quot` `associate-/r/`
9×	`difference-of-squares`
7×	`distribute-lft-out--`
3×	`add-log-exp`
1×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `frac-sub` `insert-posit16` `log1p-expm1-u` `flip--`

Counts

1 → 227

Calls

1 calls:

Slowest

18.0ms

(- (/ 1 x) (/ 1 (tan x)))

series83.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

83.0ms

(- (/ 1 x) (/ 1 (tan x)))

simplify1.4s

Counts: 230 → 230

prune1.9s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize17.0ms

Local error

Found 3 expressions with local error:

0.4b	(* x (+ 1/3 (* 1/45 (* x x))))
0.2b	(* 1/45 (* x x))
0.0b	(+ 1/3 (* 1/45 (* x x)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

Slowest

21.0ms	(* 1/45 (* x x))
12.0ms	(* x (+ 1/3 (* 1/45 (* x x))))
6.0ms	(+ 1/3 (* 1/45 (* x x)))

series236.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

126.0ms	(* x (+ 1/3 (* 1/45 (* x x))))
68.0ms	(+ 1/3 (* 1/45 (* x x)))
42.0ms	(* 1/45 (* x x))

simplify834.0ms

Counts: 73 → 73

prune577.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (* x (fma (* (* (* x x) 1/45) (* (* x x) 1/45)) (* (* x x) 1/45) 1/27)) (+ (* 1/3 1/3) (- (* (* 1/45 (* x x)) (* 1/45 (* x x))) (* 1/3 (* 1/45 (* x x))))))
0.3b	(* x (fma (* (* (* x x) 1/45) (* (* x x) 1/45)) (* (* x x) 1/45) 1/27))
0.2b	(* 1/3 (* 1/45 (* x x)))
0.2b	(* 1/45 (* x x))

rewrite395.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-cbrt-cube` `add-exp-log`
20×	`pow1`
13×	`add-sqr-sqrt`
11×	`prod-exp` `cbrt-unprod`
10×	`*-un-lft-identity` `pow-prod-down` `add-cube-cbrt`
9×	`associate-l`
5×	`associate-r`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `times-frac` `-commutative`
2×	`cbrt-undiv` `div-exp` `associate-/r/` `fma-udef` `unswap-sqr`
1×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `flip3-+` `flip-+` `div-inv` `associate-/l*`

Counts

4 → 95

Calls

4 calls:

Slowest

327.0ms	(/ (* x (fma (* (* (* x x) 1/45) (* (* x x) 1/45)) (* (* x x) 1/45) 1/27)) (+ (* 1/3 1/3) (- (* (* 1/45 (* x x)) (* 1/45 (* x x))) (* 1/3 (* 1/45 (* x x))))))
40.0ms	(* 1/3 (* 1/45 (* x x)))
20.0ms	(* 1/45 (* x x))
6.0ms	(* x (fma (* (* (* x x) 1/45) (* (* x x) 1/45)) (* (* x x) 1/45) 1/27))

series784.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

382.0ms	(/ (* x (fma (* (* (* x x) 1/45) (* (* x x) 1/45)) (* (* x x) 1/45) 1/27)) (+ (* 1/3 1/3) (- (* (* 1/45 (* x x)) (* 1/45 (* x x))) (* 1/3 (* 1/45 (* x x))))))
304.0ms	(* x (fma (* (* (* x x) 1/45) (* (* x x) 1/45)) (* (* x x) 1/45) 1/27))
57.0ms	(* 1/45 (* x x))
40.0ms	(* 1/3 (* 1/45 (* x x)))

simplify2.6s

Counts: 107 → 107

prune1.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x 1/45)
0.2b	(* x 1/45)
0.2b	(* x 1/45)
0.2b	(* x 1/45)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
12×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-exp-log` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

Slowest

13.0ms	(* x 1/45)
6.0ms	(* x 1/45)
5.0ms	(* x 1/45)
5.0ms	(* x 1/45)

series81.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

25.0ms	(* x 1/45)
23.0ms	(* x 1/45)
17.0ms	(* x 1/45)
16.0ms	(* x 1/45)

simplify2.5s

Counts: 96 → 96

prune1.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample17.0s

Algorithm

intervals

Results

9.5s	3193×	body	2560	valid
5.0s	2552×	body	1280	valid
1.2s	1250×	body	640	valid
508.0ms	8000×	pre	80	true
363.0ms	610×	body	320	valid
157.0ms	338×	body	160	valid
11.0ms	57×	body	80	valid