Details

sample42.0ms

Algorithm

intervals

Results

16.0ms	100×	body	1280	valid
8.0ms	88×	body	640	valid
3.0ms	352×	pre	80	true
2.0ms	39×	body	320	valid
2.0ms	102×	body	80	valid
1.0ms	23×	body	160	valid

simplify3.0ms

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: 58.7b

localize5.0ms

Local error

Found 1 expressions with local error:

6.1b	(- (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)

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(- (exp x) 1.0)

simplify1.7s

Counts

17 → 17

Iterations

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

prune83.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite101.0ms

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-l`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `sum-log` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 61

Calls

4 calls:

11.0ms	(+ (* x 1/6) 1/2)
23.0ms	(+ (* (+ (* x 1/6) 1/2) (* x x)) x)
54.0ms	(* (+ (* x 1/6) 1/2) (* x x))
11.0ms	(* x 1/6)

series235.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(+ (* x 1/6) 1/2)
28.0ms	(+ (* (+ (* x 1/6) 1/2) (* x x)) x)
120.0ms	(* (+ (* x 1/6) 1/2) (* x x))
28.0ms	(* x 1/6)

simplify1.5s

Counts

73 → 73

Iterations

Iter	Nodes
done	5001
2	1711
1	302
0	100

prune311.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite159.0ms

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-l` `add-log-exp`
4×	`exp-prod` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`log-prod` `flip3-+` `exp-sum` `flip-+`
2×	`log-div` `exp-diff` `associate-l/` `-commutative` `unswap-sqr`
1×	`+-commutative` `sum-log` `log-pow` `rem-exp-log`

Counts

4 → 67

Calls

4 calls:

39.0ms	(+ (* (+ (* x 1/6) 1/2) (* x x)) x)
61.0ms	(* (+ (* x 1/6) 1/2) (* x x))
11.0ms	(* x 1/6)
45.0ms	(exp (log (+ (* (+ (* x 1/6) 1/2) (* x x)) x)))

series222.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ (* (+ (* x 1/6) 1/2) (* x x)) x)
120.0ms	(* (+ (* x 1/6) 1/2) (* x x))
15.0ms	(* x 1/6)
41.0ms	(exp (log (+ (* (+ (* x 1/6) 1/2) (* x x)) x)))

simplify1.5s

Counts

79 → 79

Iterations

Iter	Nodes
done	5002
2	1766
1	320
0	121

prune399.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite108.0ms

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-l` `add-log-exp`
4×	`pow-unpow` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`unpow-prod-up` `log-prod` `unpow-prod-down` `flip3-+` `flip-+`
2×	`log-div` `associate-l/` `pow-exp` `-commutative` `pow-sub` `unswap-sqr`
1×	`pow-to-exp` `+-commutative` `e-exp-1` `sum-log` `pow-pow` `log-pow` `sqr-pow`

Counts

4 → 74

Calls

4 calls:

30.0ms	(+ (* (+ (* x 1/6) 1/2) (* x x)) x)
38.0ms	(* (+ (* x 1/6) 1/2) (* x x))
11.0ms	(* x 1/6)
27.0ms	(pow E (log (+ (* (+ (* x 1/6) 1/2) (* x x)) x)))

series286.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+ (* (+ (* x 1/6) 1/2) (* x x)) x)
105.0ms	(* (+ (* x 1/6) 1/2) (* x x))
27.0ms	(* x 1/6)
114.0ms	(pow E (log (+ (* (+ (* x 1/6) 1/2) (* x x)) x)))

simplify1.8s

Counts

86 → 86

Iterations

Iter	Nodes
done	5002
2	2321
1	467
0	160

prune285.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes209.0ms

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

sample2.4s

Algorithm

intervals

Results

902.0ms	3444×	body	1280	valid
489.0ms	4213×	body	80	valid
385.0ms	2502×	body	640	valid
156.0ms	1244×	body	320	valid
147.0ms	12020×	pre	80	true
35.0ms	617×	body	160	valid