Details

sample88.0ms

Algorithm

intervals

Results

38.0ms	76×	body	1280	valid
18.0ms	46×	body	640	valid
14.0ms	189×	body	80	valid
5.0ms	18×	body	320	valid
1.0ms	8×	body	160	valid

simplify34.0ms

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.6b

localize28.0ms

Local error

Found 2 expressions with local error:

3.0b	(- (exp x) 1)
0.0b	(/ (- (exp x) 1) x)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
29×	`*-un-lft-identity`
21×	`times-frac`
14×	`add-cube-cbrt`
10×	`difference-of-squares`
7×	`associate-/l*`
5×	`difference-of-sqr-1` `distribute-lft-out--`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-/r*`
2×	`pow1` `flip3--` `insert-posit16` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

2 → 64

Calls

2 calls:

Slowest

37.0ms	(/ (- (exp x) 1) x)
17.0ms	(- (exp x) 1)

series79.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

62.0ms	(/ (- (exp x) 1) x)
17.0ms	(- (exp x) 1)

simplify1.2s

Counts: 70 → 70

prune563.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `add-log-exp`
6×	`associate-r` `associate-l`
4×	`insert-posit16`
3×	`flip3-+` `flip-+`
2×	`distribute-rgt-in` `+-commutative` `associate-+r+` `sum-log` `distribute-lft-in` `pow-prod-down` `prod-exp` `associate-r/` `-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 68

Calls

4 calls:

Slowest

18.0ms	(* x (+ (* 1/6 x) 1/2))
17.0ms	(+ (* 1/6 x) 1/2)
11.0ms	(+ 1 (* x (+ (* 1/6 x) 1/2)))
6.0ms	(* 1/6 x)

series167.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

81.0ms	(* x (+ (* 1/6 x) 1/2))
41.0ms	(+ (* 1/6 x) 1/2)
23.0ms	(+ 1 (* x (+ (* 1/6 x) 1/2)))
22.0ms	(* 1/6 x)

simplify1.7s

Counts: 80 → 80

prune526.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

2.6b	(- (/ (exp x) x) (/ 1 x))
0.0b	(/ (exp x) x)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
23×	`times-frac`
12×	`add-cube-cbrt`
6×	`div-inv` `difference-of-squares`
5×	`distribute-lft-out--`
4×	`add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `distribute-rgt-out--` `add-exp-log` `associate-/l`
2×	`pow1` `insert-posit16`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `frac-sub` `flip--` `sub-div`

Counts

2 → 57

Calls

2 calls:

Slowest

26.0ms	(- (/ (exp x) x) (/ 1 x))
10.0ms	(/ (exp x) x)

series77.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

44.0ms	(- (/ (exp x) x) (/ 1 x))
33.0ms	(/ (exp x) x)

simplify1.0s

Counts: 63 → 63

prune388.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

2.6b	(- (* (sqrt (exp x)) (/ (sqrt (exp x)) x)) (/ 1 x))
0.0b	(sqrt (exp x))
0.0b	(sqrt (exp x))
0.0b	(* (sqrt (exp x)) (/ (sqrt (exp x)) x))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
23×	`*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
22×	`times-frac` `associate-r`
9×	`add-cbrt-cube` `add-exp-log`
8×	`pow1` `sqrt-pow1`
6×	`exp-prod` `associate-l` `add-log-exp` `unswap-sqr`
4×	`insert-posit16`
3×	`associate-*r/`
2×	`rem-sqrt-square` `pow1/2` `prod-exp` `cbrt-unprod`
1×	`cbrt-undiv` `sub-neg` `flip3--` `diff-log` `div-exp` `pow-prod-down` `*-commutative` `frac-sub` `div-inv` `flip--` `sub-div`

Counts

4 → 98

Calls

4 calls:

Slowest

19.0ms	(- (* (sqrt (exp x)) (/ (sqrt (exp x)) x)) (/ 1 x))
18.0ms	(* (sqrt (exp x)) (/ (sqrt (exp x)) x))
3.0ms	(sqrt (exp x))
3.0ms	(sqrt (exp x))

series96.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

41.0ms	(- (* (sqrt (exp x)) (/ (sqrt (exp x)) x)) (/ 1 x))
25.0ms	(* (sqrt (exp x)) (/ (sqrt (exp x)) x))
16.0ms	(sqrt (exp x))
13.0ms	(sqrt (exp x))

simplify1.2s

Counts: 110 → 110

prune728.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes48.0ms

Accuracy

99.1% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 20.6b

bsearch33.0ms

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.4s	2271×	body	1280	valid
523.0ms	1683×	body	640	valid
456.0ms	5404×	body	80	valid
190.0ms	825×	body	320	valid
83.0ms	459×	body	160	valid