Details

sample50.0ms

Algorithm

intervals

Results

18.0ms	100×	body	1280	valid
10.0ms	88×	body	640	valid
4.0ms	352×	pre	80	true
3.0ms	39×	body	320	valid
2.0ms	102×	body	80	valid
1.0ms	23×	body	160	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
2	7
1	6
0	4

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize9.0ms

Local error

Found 1 expressions with local error:

6.1b	(- (exp x) 1.0)

rewrite16.0ms

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:

15.0ms

(- (exp x) 1.0)

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(- (exp x) 1.0)

simplify2.0s

Counts

17 → 17

Iterations

Iter	Nodes
done	5000
5	2457
4	907
3	416
2	196
1	83
0	39

prune87.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

8.0ms	(+ 1/2 (* x 1/6))
29.0ms	(+ (* (* x x) (+ 1/2 (* x 1/6))) x)
25.0ms	(* (* x x) (+ 1/2 (* x 1/6)))
6.0ms	(* x 1/6)

series210.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ 1/2 (* x 1/6))
49.0ms	(+ (* (* x x) (+ 1/2 (* x 1/6))) x)
91.0ms	(* (* x x) (+ 1/2 (* x 1/6)))
28.0ms	(* x 1/6)

simplify1.4s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
2	1302
1	345
0	107

prune343.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* x x) (+ 1/2 (* x 1/6))) x)
0.0b	(* (* x x) (+ 1/2 (* x 1/6)))
0.3b	(* x 1/6)
2.8b	(exp (log (+ (* (* x x) (+ 1/2 (* x 1/6))) x)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `pow1`
11×	`add-cbrt-cube` `add-exp-log`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r` `add-log-exp`
4×	`exp-prod` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`log-prod` `flip3-+` `exp-sum` `flip-+`
2×	`distribute-rgt-in` `log-div` `associate-+l+` `distribute-lft-in` `exp-diff` `associate-r/` `-commutative` `unswap-sqr`
1×	`+-commutative` `sum-log` `log-pow` `rem-exp-log`

Counts

4 → 71

Calls

4 calls:

17.0ms	(+ (* (* x x) (+ 1/2 (* x 1/6))) x)
32.0ms	(* (* x x) (+ 1/2 (* x 1/6)))
6.0ms	(* x 1/6)
20.0ms	(exp (log (+ (* (* x x) (+ 1/2 (* x 1/6))) x)))

series185.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ (* (* x x) (+ 1/2 (* x 1/6))) x)
83.0ms	(* (* x x) (+ 1/2 (* x 1/6)))
20.0ms	(* x 1/6)
33.0ms	(exp (log (+ (* (* x x) (+ 1/2 (* x 1/6))) x)))

simplify1.6s

Counts

83 → 83

Iterations

Iter	Nodes
done	5000
2	1235
1	366
0	129

prune319.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* x x) (+ 1/2 (* x 1/6))) x)
0.0b	(* (* x x) (+ 1/2 (* x 1/6)))
0.3b	(* x 1/6)
3.1b	(pow E (log (+ (* (* x x) (+ 1/2 (* x 1/6))) x)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `pow1`
12×	`add-exp-log`
11×	`add-cbrt-cube`
10×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r` `add-log-exp`
4×	`pow-unpow` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`unpow-prod-up` `log-prod` `unpow-prod-down` `flip3-+` `flip-+`
2×	`distribute-rgt-in` `log-div` `associate-+l+` `distribute-lft-in` `pow-exp` `associate-r/` `-commutative` `pow-sub` `unswap-sqr`
1×	`pow-to-exp` `+-commutative` `e-exp-1` `sum-log` `pow-pow` `log-pow` `sqr-pow`

Counts

4 → 78

Calls

4 calls:

23.0ms	(+ (* (* x x) (+ 1/2 (* x 1/6))) x)
39.0ms	(* (* x x) (+ 1/2 (* x 1/6)))
5.0ms	(* x 1/6)
20.0ms	(pow E (log (+ (* (* x x) (+ 1/2 (* x 1/6))) x)))

series266.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(+ (* (* x x) (+ 1/2 (* x 1/6))) x)
84.0ms	(* (* x x) (+ 1/2 (* x 1/6)))
32.0ms	(* x 1/6)
107.0ms	(pow E (log (+ (* (* x x) (+ 1/2 (* x 1/6))) x)))

simplify1.7s

Counts

90 → 90

Iterations

Iter	Nodes
done	5004
2	1833
1	493
0	168

prune366.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes163.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	12
1	12
0	8

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.3s	3444×	body	1280	valid
432.0ms	2502×	body	640	valid
163.0ms	12020×	pre	80	true
158.0ms	1244×	body	320	valid
93.0ms	4213×	body	80	valid
52.0ms	617×	body	160	valid