Details

sample43.0ms

Algorithm

intervals

Results

15.0ms	104×	body	1280	valid
9.0ms	90×	body	640	valid
4.0ms	359×	pre	80	true
2.0ms	41×	body	320	valid
2.0ms	107×	body	80	valid
1.0ms	17×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
2	7
1	6
0	4

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.4b

localize5.0ms

Local error

Found 1 expressions with local error:

4.9b	(- (exp x) 1.0)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `add-cube-cbrt` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 14

Calls

1 calls:

8.0ms

(- (exp x) 1.0)

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(- (exp x) 1.0)

simplify1.7s

Counts

17 → 17

Iterations

Iter	Nodes
done	5002
4	2834
3	681
2	221
1	83
0	39

prune78.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ (* x 1/6) 1/2) (pow x 2))
0.3b	(* x 1/6)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
11×	`associate-r`
9×	`add-exp-log`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`add-cbrt-cube` `associate-l`
5×	`unswap-sqr`
4×	`pow1` `unpow-prod-down` `prod-exp`
2×	`associate-l/` `-commutative` `cbrt-unprod` `unpow2` `add-log-exp` `sqr-pow`
1×	`pow-to-exp` `flip3-+` `pow-prod-down` `pow-exp` `flip-+`

Counts

2 → 47

Calls

2 calls:

33.0ms	(* (+ (* x 1/6) 1/2) (pow x 2))
6.0ms	(* x 1/6)

series126.0ms

Counts

2 → 6

Calls

2 calls:

110.0ms	(* (+ (* x 1/6) 1/2) (pow x 2))
16.0ms	(* x 1/6)

simplify793.0ms

Counts

53 → 53

Iterations

Iter	Nodes
done	5000
2	1310
1	227
0	90

prune261.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1.0 (+ (exp x) 1.0)) (exp (+ x x)))
0.0b	(+ (exp x) 1.0)
0.0b	(/ (- (pow (exp 3) x) (pow 1.0 3)) (+ (* 1.0 (+ (exp x) 1.0)) (exp (+ x x))))
5.1b	(- (pow (exp 3) x) (pow 1.0 3))

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

110×	`add-sqr-sqrt`
60×	`difference-of-squares`
48×	`times-frac`
37×	`*-un-lft-identity`
35×	`unpow-prod-down` `sqr-pow`
25×	`add-cube-cbrt`
16×	`associate-/l*`
15×	`cube-prod`
10×	`add-log-exp`
6×	`add-cbrt-cube` `add-exp-log`
5×	`distribute-lft-out--`
4×	`pow1`
3×	`associate-/r*` `flip3-+` `flip-+`
2×	`+-commutative` `associate-+l+` `sum-log` `flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`distribute-rgt-in` `cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `div-sub` `div-exp` `div-inv` `distribute-lft-out`

Counts

4 → 134

Calls

4 calls:

22.0ms	(+ (* 1.0 (+ (exp x) 1.0)) (exp (+ x x)))
7.0ms	(+ (exp x) 1.0)
155.0ms	(/ (- (pow (exp 3) x) (pow 1.0 3)) (+ (* 1.0 (+ (exp x) 1.0)) (exp (+ x x))))
28.0ms	(- (pow (exp 3) x) (pow 1.0 3))

series280.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(+ (* 1.0 (+ (exp x) 1.0)) (exp (+ x x)))
15.0ms	(+ (exp x) 1.0)
141.0ms	(/ (- (pow (exp 3) x) (pow 1.0 3)) (+ (* 1.0 (+ (exp x) 1.0)) (exp (+ x x))))
65.0ms	(- (pow (exp 3) x) (pow 1.0 3))

simplify913.0ms

Counts

146 → 146

Iterations

Iter	Nodes
done	5002
2	2135
1	586
0	241

prune802.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (+ (exp (+ x x)) (* 1.0 (+ (exp x) 1.0))))
0.0b	(* (cbrt (+ (exp (+ x x)) (* 1.0 (+ (exp x) 1.0)))) (cbrt (+ (exp (+ x x)) (* 1.0 (+ (exp x) 1.0)))))
0.0b	(/ (- (pow (exp 3) x) (pow 1.0 3)) (* (* (cbrt (+ (exp (+ x x)) (* 1.0 (+ (exp x) 1.0)))) (cbrt (+ (exp (+ x x)) (* 1.0 (+ (exp x) 1.0))))) (cbrt (+ (exp (+ x x)) (* 1.0 (+ (exp x) 1.0))))))
5.1b	(- (pow (exp 3) x) (pow 1.0 3))

rewrite637.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-sqr-sqrt`
68×	`cbrt-div`
36×	`difference-of-squares`
34×	`flip3-+` `flip-+`
32×	`frac-times`
26×	`associate-/r/`
21×	`unpow-prod-down` `*-un-lft-identity` `sqr-pow`
19×	`cbrt-prod`
16×	`times-frac` `associate-l/` `associate-/l`
15×	`add-exp-log` `add-cube-cbrt`
11×	`pow1`
10×	`associate-*r/`
9×	`add-cbrt-cube` `cube-prod`
7×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-log-exp`
4×	`prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`cbrt-undiv` `div-exp` `distribute-lft-out--`
2×	`flip3--` `pow-prod-down` `pow-sqr` `pow-prod-up` `flip--` `associate-/l/`
1×	`pow2` `clear-num` `associate-/r` `sub-neg` `frac-2neg` `pow-plus` `diff-log` `div-sub` `-commutative` `div-inv`

Counts

4 → 164

Calls

4 calls:

22.0ms	(cbrt (+ (exp (+ x x)) (* 1.0 (+ (exp x) 1.0))))
225.0ms	(* (cbrt (+ (exp (+ x x)) (* 1.0 (+ (exp x) 1.0)))) (cbrt (+ (exp (+ x x)) (* 1.0 (+ (exp x) 1.0)))))
340.0ms	(/ (- (pow (exp 3) x) (pow 1.0 3)) (* (* (cbrt (+ (exp (+ x x)) (* 1.0 (+ (exp x) 1.0)))) (cbrt (+ (exp (+ x x)) (* 1.0 (+ (exp x) 1.0))))) (cbrt (+ (exp (+ x x)) (* 1.0 (+ (exp x) 1.0))))))
43.0ms	(- (pow (exp 3) x) (pow 1.0 3))

series653.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(cbrt (+ (exp (+ x x)) (* 1.0 (+ (exp x) 1.0))))
274.0ms	(* (cbrt (+ (exp (+ x x)) (* 1.0 (+ (exp x) 1.0)))) (cbrt (+ (exp (+ x x)) (* 1.0 (+ (exp x) 1.0)))))
123.0ms	(/ (- (pow (exp 3) x) (pow 1.0 3)) (* (* (cbrt (+ (exp (+ x x)) (* 1.0 (+ (exp x) 1.0)))) (cbrt (+ (exp (+ x x)) (* 1.0 (+ (exp x) 1.0))))) (cbrt (+ (exp (+ x x)) (* 1.0 (+ (exp x) 1.0))))))
43.0ms	(- (pow (exp 3) x) (pow 1.0 3))

simplify911.0ms

Counts

176 → 176

Iterations

Iter	Nodes
done	5000
1	920
0	302

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes43.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	13
1	13
0	9

end0.0ms

sample2.0s

Algorithm

intervals

Results

890.0ms	3356×	body	1280	valid
345.0ms	2563×	body	640	valid
242.0ms	11952×	pre	80	true
106.0ms	1266×	body	320	valid
82.0ms	4131×	body	80	valid
33.0ms	636×	body	160	valid