Details

sample404.0ms

Algorithm

intervals

Results

237.0ms	112×	body	2560	valid
120.0ms	78×	body	1280	valid
16.0ms	36×	body	640	valid
6.0ms	19×	body	320	valid
5.0ms	256×	pre	80	true
2.0ms	10×	body	160	valid
0.0ms	1×	body	80	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
2	11
1	8
0	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.9b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
10×	`times-frac`
5×	`distribute-lft-out--`
4×	`difference-of-squares`
3×	`add-cube-cbrt` `add-log-exp`
2×	`div-inv`
1×	`pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `frac-sub` `flip--`

Counts

1 → 22

Calls

1 calls:

38.0ms

(- (/ 1.0 x) (/ 1.0 (tan x)))

series146.0ms

Counts

1 → 3

Calls

1 calls:

146.0ms

(- (/ 1.0 x) (/ 1.0 (tan x)))

simplify1.3s

Counts

25 → 25

Iterations

Iter	Nodes
done	5000
3	2382
2	451
1	165
0	75

prune448.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize20.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (pow x 5) 0.0021164021164021165)
0.1b	(* 0.022222222222222223 (pow x 3))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
15×	`associate-r`
12×	`add-exp-log`
10×	`associate-l`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`unpow-prod-down`
7×	`unswap-sqr`
6×	`add-cbrt-cube` `prod-exp`
4×	`cube-prod` `sqr-pow`
2×	`pow-to-exp` `pow1` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`
1×	`cube-mult` `unpow3`

Counts

2 → 56

Calls

2 calls:

22.0ms	(* (pow x 5) 0.0021164021164021165)
20.0ms	(* 0.022222222222222223 (pow x 3))

series101.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(* (pow x 5) 0.0021164021164021165)
44.0ms	(* 0.022222222222222223 (pow x 3))

simplify654.0ms

Counts

62 → 62

Iterations

Iter	Nodes
done	5001
2	919
1	227
0	95

prune279.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize35.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 0.022222222222222223 (pow x 3))
0.9b	(log (pow (exp (pow x 5)) 0.0021164021164021165))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

10.0ms	(* 0.022222222222222223 (pow x 3))
8.0ms	(log (pow (exp (pow x 5)) 0.0021164021164021165))

series18.2s

Counts

2 → 6

Calls

2 calls:

50.0ms	(* 0.022222222222222223 (pow x 3))
18.2s	(log (pow (exp (pow x 5)) 0.0021164021164021165))

simplify681.0ms

Counts

55 → 55

Iterations

Iter	Nodes
done	5001
2	750
1	224
0	99

prune314.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.4b

localize48.0ms

Local error

Found 2 expressions with local error:

0.9b	(log (pow (exp (pow x 5)) 0.0021164021164021165))
2.2b	(log (pow (exp 0.022222222222222223) (pow x 3)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

14×	`log-prod`
6×	`add-sqr-sqrt` `unpow-prod-down` `*-un-lft-identity` `rem-log-exp` `add-cube-cbrt`
4×	`add-exp-log`
2×	`pow-to-exp` `pow1` `add-cbrt-cube` `pow-exp` `log-pow` `add-log-exp` `sqr-pow`

Counts

2 → 36

Calls

2 calls:

15.0ms	(log (pow (exp (pow x 5)) 0.0021164021164021165))
6.0ms	(log (pow (exp 0.022222222222222223) (pow x 3)))

series21.4s

Counts

2 → 6

Calls

2 calls:

18.1s	(log (pow (exp (pow x 5)) 0.0021164021164021165))
3.3s	(log (pow (exp 0.022222222222222223) (pow x 3)))

simplify956.0ms

Counts

42 → 42

Iterations

Iter	Nodes
done	5000
3	1660
2	470
1	186
0	94

prune266.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.4b

regimes35.0ms

Accuracy

0% (0.0b remaining)

Error of 0.4b against oracle of 0.4b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	19
1	19
0	15

end0.0ms

sample9.9s

Algorithm

intervals

Results

6.6s	3223×	body	2560	valid
2.1s	2517×	body	1280	valid
591.0ms	1268×	body	640	valid
185.0ms	629×	body	320	valid
125.0ms	8000×	pre	80	true
51.0ms	318×	body	160	valid
4.0ms	45×	body	80	valid