Details

sample286.0ms

Algorithm

intervals

Results

201.0ms	114×	body	2560	valid
46.0ms	69×	body	1280	valid
15.0ms	39×	body	640	valid
6.0ms	26×	body	320	valid
4.0ms	256×	pre	80	true
1.0ms	5×	body	160	valid
0.0ms	3×	body	80	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
2	11
1	8
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.9b

localize38.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (tan x))
2.6b	(- (/ 1.0 x) (/ 1.0 (tan x)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

271×	`times-frac`
220×	`add-sqr-sqrt`
216×	`*-un-lft-identity`
208×	`add-cube-cbrt`
182×	`prod-diff`
31×	`div-inv`
14×	`tan-quot` `associate-/r/`
13×	`fma-neg`
5×	`distribute-lft-out--`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp` `difference-of-squares`
3×	`associate-/r` `associate-/l`
2×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `frac-sub` `flip--`

Counts

2 → 249

Calls

2 calls:

7.0ms	(/ 1.0 (tan x))
37.0ms	(- (/ 1.0 x) (/ 1.0 (tan x)))

series211.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(/ 1.0 (tan x))
155.0ms	(- (/ 1.0 x) (/ 1.0 (tan x)))

simplify1.8s

Counts

255 → 255

Iterations

Iter	Nodes
done	5001
2	1977
1	841
0	369

prune746.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 1 expressions with local error:

0.1b	(* 0.022222222222222223 (* x x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`add-sqr-sqrt` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`*-un-lft-identity` `add-cube-cbrt`
1×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 21

Calls

1 calls:

19.0ms

(* 0.022222222222222223 (* x x))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(* 0.022222222222222223 (* x x))

simplify2.6s

Counts

24 → 24

Iterations

Iter	Nodes
done	5001
3	1093
2	261
1	90
0	36

prune112.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.3b

localize21.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 0.022222222222222223 (* x x))
2.4b	(log (exp (* 0.022222222222222223 (* x x))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

8×	`pow1`
7×	`add-cbrt-cube` `add-exp-log`
5×	`add-sqr-sqrt`
4×	`*-un-lft-identity` `add-cube-cbrt`
3×	`log-prod` `associate-l` `pow-prod-down` `prod-exp` `log-pow` `cbrt-unprod` `add-log-exp`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`exp-prod` `exp-to-pow` `rem-log-exp` `associate-r` `*-commutative` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

24.0ms	(* 0.022222222222222223 (* x x))
6.0ms	(log (exp (* 0.022222222222222223 (* x x))))

series86.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* 0.022222222222222223 (* x x))
52.0ms	(log (exp (* 0.022222222222222223 (* x x))))

simplify4.9s

Counts

43 → 43

Iterations

Iter	Nodes
done	5012
4	4598
3	1047
2	288
1	120
0	56

prune256.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.3b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 0.022222222222222223 (* x x))
0.1b	(* 0.022222222222222223 (* x x))
2.4b	(log (* (cbrt (exp (* 0.022222222222222223 (* x x)))) (cbrt (exp (* 0.022222222222222223 (* x x))))))
2.5b	(log (cbrt (exp (* 0.022222222222222223 (* x x)))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

23×	`pow1`
18×	`add-exp-log`
14×	`add-cbrt-cube`
11×	`log-pow`
10×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `pow-prod-down` `add-cube-cbrt`
7×	`log-prod` `pow1/3` `prod-exp`
6×	`associate-l` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `rem-log-exp`
2×	`associate-r` `pow-sqr` `*-commutative` `pow-prod-up` `unswap-sqr`
1×	`pow2` `pow-plus`

Counts

4 → 81

Calls

4 calls:

13.0ms	(* 0.022222222222222223 (* x x))
30.0ms	(* 0.022222222222222223 (* x x))
14.0ms	(log (* (cbrt (exp (* 0.022222222222222223 (* x x)))) (cbrt (exp (* 0.022222222222222223 (* x x))))))
4.0ms	(log (cbrt (exp (* 0.022222222222222223 (* x x)))))

series3.0s

Counts

4 → 12

Calls

4 calls:

52.0ms	(* 0.022222222222222223 (* x x))
40.0ms	(* 0.022222222222222223 (* x x))
1.7s	(log (* (cbrt (exp (* 0.022222222222222223 (* x x)))) (cbrt (exp (* 0.022222222222222223 (* x x))))))
1.3s	(log (cbrt (exp (* 0.022222222222222223 (* x x)))))

simplify2.0s

Counts

93 → 93

Iterations

Iter	Nodes
done	5012
3	2194
2	528
1	204
0	101

prune802.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.3b

regimes67.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample13.6s

Algorithm

intervals

Results

8.1s	3192×	body	2560	valid
3.5s	2512×	body	1280	valid
754.0ms	1281×	body	640	valid
661.0ms	8000×	pre	80	true
286.0ms	638×	body	320	valid
76.0ms	327×	body	160	valid
6.0ms	50×	body	80	valid