Details

sample328.0ms

Algorithm

intervals

Results

203.0ms	88×	body	2560	valid
68.0ms	77×	body	1280	valid
27.0ms	59×	body	640	valid
6.0ms	19×	body	320	valid
5.0ms	256×	pre	80	true
2.0ms	11×	body	160	valid
0.0ms	2×	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

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (tan x))
3.4b	(- (/ 1.0 x) (/ 1.0 (tan x)))

rewrite367.0ms

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:

321.0ms	(/ 1.0 (tan x))
43.0ms	(- (/ 1.0 x) (/ 1.0 (tan x)))

series226.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(/ 1.0 (tan x))
163.0ms	(- (/ 1.0 x) (/ 1.0 (tan x)))

simplify1.7s

Counts

56 → 56

Iterations

Iter	Nodes
done	5001
3	3982
2	685
1	242
0	115

prune232.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 69

Calls

3 calls:

48.0ms	(+ (+ (* x 0.3333333333333333) (* (pow x 3) 0.022222222222222223)) (* 0.0021164021164021165 (pow x 5)))
10.0ms	(* 0.0021164021164021165 (pow x 5))
11.0ms	(* (pow x 3) 0.022222222222222223)

series244.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(+ (+ (* x 0.3333333333333333) (* (pow x 3) 0.022222222222222223)) (* 0.0021164021164021165 (pow x 5)))
71.0ms	(* 0.0021164021164021165 (pow x 5))
71.0ms	(* (pow x 3) 0.022222222222222223)

simplify659.0ms

Counts

78 → 78

Iterations

Iter	Nodes
done	5001
2	1188
1	306
0	124

prune329.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize40.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (* x 0.3333333333333333) (log (pow (exp 0.022222222222222223) (pow x 3)))) (* 0.0021164021164021165 (pow x 5)))
0.1b	(* 0.0021164021164021165 (pow x 5))
1.9b	(log (pow (exp 0.022222222222222223) (pow x 3)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

63.0ms	(+ (+ (* x 0.3333333333333333) (log (pow (exp 0.022222222222222223) (pow x 3)))) (* 0.0021164021164021165 (pow x 5)))
17.0ms	(* 0.0021164021164021165 (pow x 5))
6.0ms	(log (pow (exp 0.022222222222222223) (pow x 3)))

series3.7s

Counts

3 → 9

Calls

3 calls:

182.0ms	(+ (+ (* x 0.3333333333333333) (log (pow (exp 0.022222222222222223) (pow x 3)))) (* 0.0021164021164021165 (pow x 5)))
61.0ms	(* 0.0021164021164021165 (pow x 5))
3.4s	(log (pow (exp 0.022222222222222223) (pow x 3)))

simplify788.0ms

Counts

65 → 65

Iterations

Iter	Nodes
done	5001
2	1024
1	290
0	125

prune363.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize41.0ms

Local error

Found 3 expressions with local error:

0.0b

(+ (+ (* x 0.3333333333333333) (log (pow (exp 0.022222222222222223) (pow x 3)))) (log (pow (exp 0.0021164021164021165) (pow x 5))))

1.1b

(log (pow (exp 0.0021164021164021165) (pow x 5)))

1.9b

(log (pow (exp 0.022222222222222223) (pow x 3)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

21×	`log-prod`
11×	`*-un-lft-identity`
9×	`add-sqr-sqrt` `unpow-prod-down` `add-cube-cbrt`
7×	`associate-+r+`
6×	`rem-log-exp`
5×	`add-exp-log` `add-log-exp`
3×	`pow1` `sum-log` `add-cbrt-cube` `sqr-pow`
2×	`pow-to-exp` `pow-exp` `log-pow`
1×	`+-commutative` `associate-+l+` `flip3-+` `flip-+` `distribute-lft-out`

Counts

3 → 57

Calls

3 calls:

61.0ms

(+ (+ (* x 0.3333333333333333) (log (pow (exp 0.022222222222222223) (pow x 3)))) (log (pow (exp 0.0021164021164021165) (pow x 5))))

7.0ms

(log (pow (exp 0.0021164021164021165) (pow x 5)))

8.0ms

(log (pow (exp 0.022222222222222223) (pow x 3)))

series15.4s

Counts

3 → 9

Calls

3 calls:

432.0ms

(+ (+ (* x 0.3333333333333333) (log (pow (exp 0.022222222222222223) (pow x 3)))) (log (pow (exp 0.0021164021164021165) (pow x 5))))

11.6s

(log (pow (exp 0.0021164021164021165) (pow x 5)))

3.4s

(log (pow (exp 0.022222222222222223) (pow x 3)))

simplify577.0ms

Counts

66 → 66

Iterations

Iter	Nodes
done	5002
2	1034
1	301
0	130

prune462.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.2b

regimes65.0ms

Accuracy

0% (0.1b remaining)

Error of 0.3b against oracle of 0.2b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	18
1	18
0	13

end0.0ms

sample13.7s

Algorithm

intervals

Results

8.6s	3180×	body	2560	valid
3.3s	2520×	body	1280	valid
794.0ms	1301×	body	640	valid
271.0ms	642×	body	320	valid
224.0ms	8000×	pre	80	true
73.0ms	314×	body	160	valid
5.0ms	43×	body	80	valid