Details

sample37.0ms

Algorithm

intervals

Results

15.0ms	113×	body	1280	valid
6.0ms	72×	body	640	valid
3.0ms	387×	pre	80	true
2.0ms	36×	body	320	valid
2.0ms	142×	body	80	valid
1.0ms	24×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	2
1	7	2
2	7	2
done	7	2

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.6b

localize3.0ms

Local error

Found 1 expressions with local error:

7.9b	(- (exp x) 1.0)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 14

Calls

1 calls:

10.0ms

(- (exp x) 1.0)

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(- (exp x) 1.0)

simplify57.0ms

Counts

17 → 17

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	81	72
1	185	67
2	499	66
3	1399	66
4	5002	66
done	5002	66

prune42.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 1/6) 1/2)
0.0b	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
0.1b	(* (pow x 2) (+ (* x 1/6) 1/2))
0.3b	(* x 1/6)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

7.0ms	(+ (* x 1/6) 1/2)
15.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
32.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
7.0ms	(* x 1/6)

series152.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (* x 1/6) 1/2)
35.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
65.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
18.0ms	(* x 1/6)

simplify50.0ms

Counts

85 → 85

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	331	423
1	1722	382
2	5001	378
done	5001	378

prune169.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* (pow x 2) (+ (* x 1/6) 1/2)))
0.1b	(* (pow x 2) (+ (* x 1/6) 1/2))
0.3b	(* x 1/6)
3.4b	(log (exp (* (pow x 2) (+ (* x 1/6) 1/2))))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
11×	`add-exp-log` `associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`add-cbrt-cube`
7×	`pow1` `add-log-exp`
6×	`associate-r`
5×	`log-prod` `unswap-sqr`
4×	`unpow-prod-down` `exp-sum` `prod-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `log-pow`
2×	`exp-prod` `exp-to-pow` `associate-r/` `-commutative` `cbrt-unprod` `unpow2` `sqr-pow`
1×	`pow-to-exp` `flip3-+` `rem-log-exp` `pow-prod-down` `pow-exp` `flip-+` `rem-exp-log`

Counts

4 → 77

Calls

4 calls:

11.0ms	(exp (* (pow x 2) (+ (* x 1/6) 1/2)))
30.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
7.0ms	(* x 1/6)
9.0ms	(log (exp (* (pow x 2) (+ (* x 1/6) 1/2))))

series172.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(exp (* (pow x 2) (+ (* x 1/6) 1/2)))
71.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
14.0ms	(* x 1/6)
70.0ms	(log (exp (* (pow x 2) (+ (* x 1/6) 1/2))))

simplify46.0ms

Counts

89 → 89

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	299	444
1	1310	392
2	5001	392
done	5001	392

prune197.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))
0.7b	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
0.7b	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
0.7b	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

103.0ms	(* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))
12.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
16.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
13.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))

series253.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))
66.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
65.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
59.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))

simplify47.0ms

Counts

99 → 99

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	327	1561
1	1198	1468
2	5001	1375
done	5001	1375

prune273.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.1b

regimes120.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5
done	13	5

end0.0ms

sample1.1s

Algorithm

intervals

Results

462.0ms	3380×	body	1280	valid
204.0ms	2518×	body	640	valid
90.0ms	12106×	pre	80	true
65.0ms	1309×	body	320	valid
45.0ms	4291×	body	80	valid
19.0ms	608×	body	160	valid