Details

sample277.0ms

Algorithm

intervals

Results

158.0ms	100×	body	2560	valid
79.0ms	80×	body	1280	valid
15.0ms	42×	body	640	valid
4.0ms	17×	body	320	valid
4.0ms	256×	pre	80	true
2.0ms	13×	body	160	valid
0.0ms	4×	body	80	valid

simplify24.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.3b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (tan x))
3.8b	(- (/ 1.0 x) (/ 1.0 (tan x)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
19×	`times-frac`
12×	`add-cube-cbrt`
5×	`distribute-lft-out--`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
3×	`associate-/r` `div-inv` `associate-/l`
2×	`pow1`
1×	`tan-quot` `cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `associate-/r/` `frac-sub` `flip--`

Counts

2 → 50

Calls

2 calls:

6.0ms	(/ 1.0 (tan x))
34.0ms	(- (/ 1.0 x) (/ 1.0 (tan x)))

series227.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(/ 1.0 (tan x))
159.0ms	(- (/ 1.0 x) (/ 1.0 (tan x)))

simplify838.0ms

Counts: 56 → 56

prune178.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))
0.1b	(* 0.0021164021164021165 (pow x 5))
0.1b	(* 0.022222222222222223 (pow x 3))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
19×	`associate-r`
13×	`add-exp-log`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down`
7×	`add-cbrt-cube` `unswap-sqr`
6×	`associate-l` `prod-exp`
5×	`add-log-exp`
4×	`cube-prod` `sqr-pow`
3×	`pow1`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `flip3-+` `unpow3` `sum-log` `flip-+`

Counts

3 → 67

Calls

3 calls:

18.0ms	(+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))
12.0ms	(* 0.0021164021164021165 (pow x 5))
14.0ms	(* 0.022222222222222223 (pow x 3))

series339.0ms

Counts

3 → 9

Calls

3 calls:

196.0ms	(+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))
65.0ms	(* 0.0021164021164021165 (pow x 5))
79.0ms	(* 0.022222222222222223 (pow x 3))

simplify624.0ms

Counts: 76 → 76

prune227.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))
0.1b	(* 0.0021164021164021165 (pow x 5))
0.1b	(* 0.022222222222222223 (pow x 3))
2.6b	(log (exp (* 0.022222222222222223 (pow x 3))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`associate-r`
14×	`add-exp-log`
12×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down` `add-cbrt-cube`
7×	`add-log-exp` `unswap-sqr`
6×	`associate-l` `prod-exp`
5×	`pow1`
4×	`cube-prod` `sqr-pow`
3×	`log-prod` `log-pow`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `exp-prod` `exp-to-pow` `flip3-+` `unpow3` `rem-log-exp` `sum-log` `flip-+`

Counts

4 → 81

Calls

4 calls:

9.0ms	(+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))
12.0ms	(* 0.0021164021164021165 (pow x 5))
19.0ms	(* 0.022222222222222223 (pow x 3))
4.0ms	(log (exp (* 0.022222222222222223 (pow x 3))))

series382.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))
69.0ms	(* 0.0021164021164021165 (pow x 5))
54.0ms	(* 0.022222222222222223 (pow x 3))
54.0ms	(log (exp (* 0.022222222222222223 (pow x 3))))

simplify720.0ms

Counts: 93 → 93

prune396.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 0.022222222222222223 (pow x 3))
0.1b	(* 0.022222222222222223 (pow x 3))
2.7b	(log (cbrt (exp (* 0.022222222222222223 (pow x 3)))))
2.7b	(log (cbrt (exp (* 0.022222222222222223 (pow x 3)))))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
24×	`associate-r`
16×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity`
12×	`log-prod`
8×	`unpow-prod-down` `cube-prod` `add-cbrt-cube` `unswap-sqr`
6×	`pow1` `cbrt-prod` `associate-l` `prod-exp`
4×	`log-pow` `add-log-exp` `sqr-pow`
2×	`cube-mult` `pow-to-exp` `pow1/3` `unpow3` `rem-log-exp` `pow-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 94

Calls

4 calls:

35.0ms	(* 0.022222222222222223 (pow x 3))
26.0ms	(* 0.022222222222222223 (pow x 3))
7.0ms	(log (cbrt (exp (* 0.022222222222222223 (pow x 3)))))
5.0ms	(log (cbrt (exp (* 0.022222222222222223 (pow x 3)))))

series3.6s

Counts

4 → 12

Calls

4 calls:

66.0ms	(* 0.022222222222222223 (pow x 3))
51.0ms	(* 0.022222222222222223 (pow x 3))
1.6s	(log (cbrt (exp (* 0.022222222222222223 (pow x 3)))))
1.9s	(log (cbrt (exp (* 0.022222222222222223 (pow x 3)))))

simplify2.7s

Counts: 106 → 106

prune503.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

regimes50.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.3b and baseline of 0.6b

bsearch0.0ms

simplify894.0ms

end0.0ms

sample11.9s

Algorithm

intervals

Results

7.8s	3223×	body	2560	valid
2.4s	2512×	body	1280	valid
964.0ms	1207×	body	640	valid
248.0ms	662×	body	320	valid
142.0ms	8000×	pre	80	true
78.0ms	342×	body	160	valid
5.0ms	54×	body	80	valid