Details

sample53.0ms

Algorithm

intervals

Results

14.0ms	64×	body	1280	valid
14.0ms	96×	body	10240	exit
8.0ms	63×	body	640	valid
3.0ms	32×	body	320	valid
2.0ms	86×	body	80	valid
1.0ms	12×	body	160	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	8
2	8
1	7
0	5

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ (exp x) (- (exp x) 1.0))
3.8b	(- (exp x) 1.0)

rewrite46.0ms

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` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-exp` `div-inv`

Counts

2 → 51

Calls

2 calls:

20.0ms	(/ (exp x) (- (exp x) 1.0))
9.0ms	(- (exp x) 1.0)

series54.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ (exp x) (- (exp x) 1.0))
17.0ms	(- (exp x) 1.0)

simplify1.3s

Counts

57 → 57

Iterations

Iter	Nodes
done	5000
3	2908
2	645
1	191
0	91

prune244.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

59.0ms	(/ (exp x) (+ (* (* x x) (+ (* x 1/6) 1/2)) x))
12.0ms	(+ (* x 1/6) 1/2)
33.0ms	(* (* x x) (+ (* x 1/6) 1/2))
11.0ms	(* x 1/6)

series239.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(/ (exp x) (+ (* (* x x) (+ (* x 1/6) 1/2)) x))
47.0ms	(+ (* x 1/6) 1/2)
118.0ms	(* (* x x) (+ (* x 1/6) 1/2))
17.0ms	(* x 1/6)

simplify3.2s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	3178
1	453
0	158

prune503.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
0.0b	(/ 1.0 (exp x))
3.8b	(- 1 (/ 1.0 (exp x)))

rewrite68.0ms

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` `clear-num` `frac-2neg` `flip3--` `associate-/r/` `div-inv` `flip--`
1×	`rec-exp` `sub-neg` `diff-log` `1-exp` `pow-flip` `inv-pow`

Counts

3 → 97

Calls

3 calls:

37.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
8.0ms	(/ 1.0 (exp x))
16.0ms	(- 1 (/ 1.0 (exp x)))

series166.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
31.0ms	(/ 1.0 (exp x))
64.0ms	(- 1 (/ 1.0 (exp x)))

simplify715.0ms

Counts

106 → 106

Iterations

Iter	Nodes
done	5000
2	1153
1	345
0	162

prune314.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) 3)
0.5b	(* (/ (exp x) (- (pow (exp x) 3) (pow 1.0 3))) (+ (* (exp x) (exp x)) (+ (* 1.0 1.0) (* (exp x) 1.0))))
0.5b	(/ (exp x) (- (pow (exp x) 3) (pow 1.0 3)))
3.7b	(- (pow (exp x) 3) (pow 1.0 3))

rewrite428.0ms

Algorithm

rewrite-expression-head

Rules

265×	`add-sqr-sqrt`
151×	`times-frac`
148×	`*-un-lft-identity`
128×	`difference-of-squares`
99×	`unpow-prod-down` `cube-prod`
81×	`associate-l`
68×	`add-cube-cbrt`
65×	`sqr-pow`
40×	`distribute-lft-out--`
25×	`associate-/r*`
12×	`add-cbrt-cube`
9×	`add-exp-log`
8×	`difference-cubes`
7×	`pow1`
6×	`add-log-exp`
4×	`pow-pow` `associate-/r/`
3×	`pow-unpow` `exp-prod` `flip3--` `associate-r` `flip--` `associate-/l*`
2×	`frac-times` `cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `associate-*r/` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
1×	`distribute-rgt-in` `cube-mult` `pow-to-exp` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `unpow3` `pow-prod-down` `associate-l/` `pow-exp` `-commutative` `rem-cube-cbrt`

Counts

4 → 283

Calls

4 calls:

4.0ms	(pow (exp x) 3)
288.0ms	(* (/ (exp x) (- (pow (exp x) 3) (pow 1.0 3))) (+ (* (exp x) (exp x)) (+ (* 1.0 1.0) (* (exp x) 1.0))))
58.0ms	(/ (exp x) (- (pow (exp x) 3) (pow 1.0 3)))
53.0ms	(- (pow (exp x) 3) (pow 1.0 3))

series339.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(pow (exp x) 3)
183.0ms	(* (/ (exp x) (- (pow (exp x) 3) (pow 1.0 3))) (+ (* (exp x) (exp x)) (+ (* 1.0 1.0) (* (exp x) 1.0))))
76.0ms	(/ (exp x) (- (pow (exp x) 3) (pow 1.0 3)))
55.0ms	(- (pow (exp x) 3) (pow 1.0 3))

simplify690.0ms

Counts

295 → 295

Iterations

Iter	Nodes
done	5000
1	1138
0	316

prune1.5s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes128.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.1b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	10

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.3s	2308×	body	1280	valid
763.0ms	2519×	body	10240	exit
315.0ms	1612×	body	640	valid
105.0ms	827×	body	320	valid
101.0ms	2859×	body	80	valid
32.0ms	396×	body	160	valid