Details

sample68.0ms

Algorithm

intervals

Results

21.0ms	74×	body	1280	valid
17.0ms	82×	body	10240	exit
10.0ms	53×	body	640	valid
4.0ms	29×	body	320	valid
3.0ms	94×	body	80	valid
0.0ms	6×	body	160	valid

simplify14.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ (exp x) (- (exp x) 1.0))
2.3b	(- (exp x) 1.0)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

2 → 51

Calls

2 calls:

35.0ms	(/ (exp x) (- (exp x) 1.0))
11.0ms	(- (exp x) 1.0)

series51.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(/ (exp x) (- (exp x) 1.0))
20.0ms	(- (exp x) 1.0)

simplify789.0ms

Counts: 57 → 57

prune169.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 1/6) 1/2)
0.0b	(/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
0.1b	(* (pow x 2) (+ (* x 1/6) 1/2))
0.4b	(* x 1/6)

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-exp-log`
11×	`associate-l`
10×	`add-cbrt-cube`
9×	`times-frac`
6×	`pow1` `associate-r` `add-log-exp`
5×	`unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
3×	`flip3-+` `associate-/r` `flip-+` `associate-/l`
2×	`associate-r/` `associate-/r/` `-commutative` `cbrt-unprod` `unpow2` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `pow-to-exp` `frac-2neg` `distribute-lft-in` `div-exp` `pow-prod-down` `pow-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 89

Calls

4 calls:

9.0ms	(+ (* x 1/6) 1/2)
44.0ms	(/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
37.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
8.0ms	(* x 1/6)

series193.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (* x 1/6) 1/2)
41.0ms	(/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
89.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
25.0ms	(* x 1/6)

simplify888.0ms

Counts: 101 → 101

prune407.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (exp x))
0.0b	(/ 1 (/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (exp x)))
0.1b	(* (pow x 2) (+ (* x 1/6) 1/2))
0.4b	(* x 1/6)

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
67×	`add-sqr-sqrt`
59×	`add-cube-cbrt` `*-un-lft-identity`
20×	`add-exp-log`
16×	`associate-/r*`
15×	`add-cbrt-cube`
11×	`associate-l`
8×	`div-exp`
7×	`pow1`
6×	`associate-r` `div-inv` `associate-/l*`
5×	`unswap-sqr`
4×	`cbrt-undiv` `unpow-prod-down` `prod-exp` `add-log-exp`
2×	`rec-exp` `frac-2neg` `flip3-+` `1-exp` `associate-r/` `clear-num` `-commutative` `cbrt-unprod` `flip-+` `associate-/l/` `unpow2` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `pow-flip` `distribute-lft-in` `pow-prod-down` `pow-exp` `associate-/r/` `inv-pow`

Counts

4 → 154

Calls

4 calls:

61.0ms	(/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (exp x))
53.0ms	(/ 1 (/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (exp x)))
50.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
9.0ms	(* x 1/6)

series173.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (exp x))
43.0ms	(/ 1 (/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) (exp x)))
70.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
15.0ms	(* x 1/6)

simplify1.3s

Counts: 166 → 166

prune491.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (exp x))
0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
2.3b	(- 1 (/ 1.0 (exp x)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
43×	`times-frac`
24×	`add-cube-cbrt`
20×	`difference-of-squares`
11×	`associate-/r*`
8×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-/l*`
5×	`distribute-lft-out--` `add-log-exp`
4×	`pow1`
3×	`div-exp`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `clear-num` `associate-/r/` `flip--` `div-inv`
1×	`sub-neg` `rec-exp` `pow-flip` `diff-log` `1-exp` `inv-pow`

Counts

3 → 97

Calls

3 calls:

8.0ms	(/ 1.0 (exp x))
45.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
25.0ms	(- 1 (/ 1.0 (exp x)))

series145.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/ 1.0 (exp x))
69.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
50.0ms	(- 1 (/ 1.0 (exp x)))

simplify1.5s

Counts: 106 → 106

prune279.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes35.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify2.0s

end0.0ms

sample2.8s

Algorithm

intervals

Results

726.0ms	2636×	body	10240	exit
627.0ms	2272×	body	1280	valid
536.0ms	814×	body	320	valid
391.0ms	1660×	body	640	valid
174.0ms	2855×	body	80	valid
30.0ms	399×	body	160	valid