Details

sample440.0ms

Algorithm

intervals

Results

237.0ms	100×	body	2560	valid
102.0ms	84×	body	1280	valid
36.0ms	256×	pre	80	true
35.0ms	43×	body	640	valid
10.0ms	20×	body	320	valid
2.0ms	8×	body	160	valid
0.0ms	1×	body	80	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	14
2	14
1	10
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1 (tan x))
2.4b	(- (/ 1 x) (/ 1 (tan x)))

rewrite89.0ms

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:

15.0ms	(/ 1 (tan x))
62.0ms	(- (/ 1 x) (/ 1 (tan x)))

series117.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ 1 (tan x))
71.0ms	(- (/ 1 x) (/ 1 (tan x)))

simplify2.2s

Counts

268 → 268

Iterations

Iter	Nodes
done	5024
3	3081
2	1356
1	762
0	342

prune572.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 1/45 (* x x) 1/3)
0.3b	(* x (fma 1/45 (* x x) 1/3))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
3×	`associate-r` `associate-l` `fma-udef`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 34

Calls

2 calls:

0.0ms	(fma 1/45 (* x x) 1/3)
12.0ms	(* x (fma 1/45 (* x x) 1/3))

series201.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(fma 1/45 (* x x) 1/3)
119.0ms	(* x (fma 1/45 (* x x) 1/3))

simplify1.9s

Counts

40 → 40

Iterations

Iter	Nodes
done	5021
3	1688
2	335
1	116
0	52

prune186.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

42.0ms	(+ (* (* 1/45 (* x x)) x) (* 1/3 x))
51.0ms	(* (* 1/45 (* x x)) x)
17.0ms	(* 1/45 (* x x))
8.0ms	(* 1/3 x)

series255.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(+ (* (* 1/45 (* x x)) x) (* 1/3 x))
60.0ms	(* (* 1/45 (* x x)) x)
30.0ms	(* 1/45 (* x x))
28.0ms	(* 1/3 x)

simplify1.4s

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
2	1061
1	312
0	111

prune387.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* 1/45 (* x x)) x)
0.2b	(* 1/45 (* x x))
0.4b	(* (sqrt 1/3) x)
0.4b	(* (sqrt 1/3) (* (sqrt 1/3) x))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

25×	`pow1` `add-cbrt-cube` `add-exp-log`
16×	`add-sqr-sqrt` `associate-l`
13×	`pow-prod-down` `prod-exp` `cbrt-unprod`
11×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-r`
7×	`sqrt-prod`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`

Counts

4 → 95

Calls

4 calls:

42.0ms	(* (* 1/45 (* x x)) x)
24.0ms	(* 1/45 (* x x))
12.0ms	(* (sqrt 1/3) x)
25.0ms	(* (sqrt 1/3) (* (sqrt 1/3) x))

series254.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (* 1/45 (* x x)) x)
44.0ms	(* 1/45 (* x x))
62.0ms	(* (sqrt 1/3) x)
94.0ms	(* (sqrt 1/3) (* (sqrt 1/3) x))

simplify3.9s

Counts

107 → 107

Iterations

Iter	Nodes
done	5001
3	4516
2	958
1	288
0	114

prune422.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

regimes60.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	16
1	16
0	12

end0.0ms

sample15.1s

Algorithm

intervals

Results

9.3s	3288×	body	2560	valid
3.9s	2437×	body	1280	valid
990.0ms	1241×	body	640	valid
333.0ms	657×	body	320	valid
295.0ms	8000×	pre	80	true
147.0ms	327×	body	160	valid
10.0ms	50×	body	80	valid