Details

sample425.0ms

Algorithm

intervals

Results

250.0ms	114×	body	2560	valid
124.0ms	69×	body	1280	valid
21.0ms	39×	body	640	valid
9.0ms	26×	body	320	valid
5.0ms	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

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

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-cbrt-cube` `add-exp-log` `add-log-exp` `difference-of-squares`
3×	`associate-/r` `div-inv` `associate-/l`
2×	`pow1`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `tan-quot` `associate-/r/` `frac-sub` `flip--`

Counts

2 → 50

Calls

2 calls:

9.0ms	(/ 1.0 (tan x))
26.0ms	(- (/ 1.0 x) (/ 1.0 (tan x)))

series186.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ 1.0 (tan x))
148.0ms	(- (/ 1.0 x) (/ 1.0 (tan x)))

simplify1.3s

Counts

56 → 56

Iterations

Iter	Nodes
done	5001
3	1770
2	617
1	242
0	115

prune308.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 44

Calls

2 calls:

16.0ms	(* 0.0021164021164021165 (pow x 5))
25.0ms	(* (* x x) 0.022222222222222223)

series86.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(* 0.0021164021164021165 (pow x 5))
33.0ms	(* (* x x) 0.022222222222222223)

simplify1.8s

Counts

50 → 50

Iterations

Iter	Nodes
done	5000
3	1910
2	542
1	192
0	83

prune213.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.3b

localize36.0ms

Local error

Found 3 expressions with local error:

0.1b	(* 0.0021164021164021165 (pow x 5))
0.1b	(* (* x x) 0.022222222222222223)
2.4b	(log (exp (* (* x x) 0.022222222222222223)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`add-exp-log`
10×	`add-cbrt-cube` `associate-r`
9×	`pow1`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`prod-exp`
4×	`unpow-prod-down` `associate-l` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`log-prod` `pow-prod-down` `log-pow`
2×	`*-commutative` `sqr-pow`
1×	`pow-to-exp` `exp-prod` `exp-to-pow` `rem-log-exp` `pow-exp`

Counts

3 → 58

Calls

3 calls:

9.0ms	(* 0.0021164021164021165 (pow x 5))
18.0ms	(* (* x x) 0.022222222222222223)
4.0ms	(log (exp (* (* x x) 0.022222222222222223)))

series141.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(* 0.0021164021164021165 (pow x 5))
43.0ms	(* (* x x) 0.022222222222222223)
39.0ms	(log (exp (* (* x x) 0.022222222222222223)))

simplify1.7s

Counts

67 → 67

Iterations

Iter	Nodes
done	5001
3	1955
2	550
1	212
0	100

prune309.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.3b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

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-r` `cbrt-unprod`
4×	`add-log-exp`
3×	`cbrt-prod` `rem-log-exp`
2×	`associate-l` `pow-sqr` `*-commutative` `pow-prod-up` `unswap-sqr`
1×	`pow2` `pow-plus`

Counts

4 → 73

Calls

4 calls:

14.0ms	(* (* x x) 0.022222222222222223)
15.0ms	(* (* x x) 0.022222222222222223)
16.0ms	(log (* (cbrt (exp (* (* x x) 0.022222222222222223))) (cbrt (exp (* (* x x) 0.022222222222222223)))))
4.0ms	(log (cbrt (exp (* (* x x) 0.022222222222222223))))

series2.4s

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (* x x) 0.022222222222222223)
40.0ms	(* (* x x) 0.022222222222222223)
1.2s	(log (* (cbrt (exp (* (* x x) 0.022222222222222223))) (cbrt (exp (* (* x x) 0.022222222222222223)))))
1.1s	(log (cbrt (exp (* (* x x) 0.022222222222222223))))

simplify1.5s

Counts

85 → 85

Iterations

Iter	Nodes
done	5000
3	1653
2	525
1	208
0	97

prune527.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.3b

regimes44.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	17
1	17
0	12

end0.0ms

sample13.3s

Algorithm

intervals

Results

8.3s	3192×	body	2560	valid
3.0s	2512×	body	1280	valid
1.2s	1281×	body	640	valid
287.0ms	638×	body	320	valid
166.0ms	8000×	pre	80	true
131.0ms	327×	body	160	valid
6.0ms	50×	body	80	valid