Details

sample181.0ms

Algorithm

intervals

Results

53.0ms	297×	body	80	valid
40.0ms	63×	body	1280	valid
34.0ms	57×	body	10240	exit
19.0ms	46×	body	640	valid
5.0ms	19×	body	320	valid
2.0ms	10×	body	160	valid

simplify503.0ms

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ 1.0 eps) x)
0.0b	(exp (* (- 1.0 eps) x))
0.0b	(exp (* (+ 1.0 eps) x))
2.2b	(- (/ (/ (+ 1.0 (/ 1.0 eps)) (exp (* (- 1.0 eps) x))) 2.0) (/ (/ (- (/ 1.0 eps) 1.0) (exp (* (+ 1.0 eps) x))) 2.0))

rewrite812.0ms

Algorithm

rewrite-expression-head

Rules

86×	`*-un-lft-identity`
72×	`times-frac`
54×	`add-sqr-sqrt`
22×	`distribute-lft-out--`
16×	`add-cube-cbrt`
14×	`add-log-exp`
9×	`difference-of-squares`
7×	`distribute-lft-out`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`exp-to-pow` `associate-l`
3×	`associate-r`
2×	`exp-prod` `diff-log` `div-sub` `associate-*l/` `div-inv` `rem-exp-log`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `frac-sub` `flip--` `cbrt-unprod` `flip-+` `sub-div` `associate--r-` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

31.0ms	(* (+ 1.0 eps) x)
9.0ms	(exp (* (- 1.0 eps) x))
6.0ms	(exp (* (+ 1.0 eps) x))
760.0ms	(- (/ (/ (+ 1.0 (/ 1.0 eps)) (exp (* (- 1.0 eps) x))) 2.0) (/ (/ (- (/ 1.0 eps) 1.0) (exp (* (+ 1.0 eps) x))) 2.0))

series362.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (+ 1.0 eps) x)
29.0ms	(exp (* (- 1.0 eps) x))
22.0ms	(exp (* (+ 1.0 eps) x))
265.0ms	(- (/ (/ (+ 1.0 (/ 1.0 eps)) (exp (* (- 1.0 eps) x))) 2.0) (/ (/ (- (/ 1.0 eps) 1.0) (exp (* (+ 1.0 eps) x))) 2.0))

simplify1.7s

Counts: 96 → 96

prune427.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (pow x 2) (- (* x 0.33333333333333337) 0.5))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`associate-l`
6×	`add-exp-log`
4×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `unswap-sqr`
3×	`associate-r` `prod-exp` `add-cbrt-cube`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/` `unpow2` `sqr-pow`
1×	`pow1` `pow-to-exp` `flip3--` `pow-exp` `*-commutative` `flip--` `cbrt-unprod` `add-log-exp`

Counts

1 → 33

Calls

1 calls:

44.0ms

(* (pow x 2) (- (* x 0.33333333333333337) 0.5))

series101.0ms

Counts

1 → 3

Calls

1 calls:

101.0ms

(* (pow x 2) (- (* x 0.33333333333333337) 0.5))

simplify2.0s

Counts: 36 → 36

prune104.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* (- 1.0 eps) x))
0.0b	(exp (* (+ 1.0 eps) x))
0.0b	(exp (* (+ 1.0 eps) x))
2.2b	(- (/ (/ (+ 1.0 (/ 1.0 eps)) (exp (* (- 1.0 eps) x))) 2.0) (/ (/ (/ 1.0 eps) (exp (* (+ 1.0 eps) x))) 2.0))

rewrite601.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
60×	`times-frac`
45×	`*-un-lft-identity`
18×	`add-log-exp`
12×	`difference-of-squares`
10×	`add-cube-cbrt` `distribute-lft-out--`
6×	`exp-to-pow`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`exp-prod` `rem-exp-log` `distribute-lft-out`
2×	`diff-log` `sum-log` `div-inv`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `frac-sub` `flip--` `sub-div`

Counts

4 → 70

Calls

4 calls:

8.0ms	(exp (* (- 1.0 eps) x))
6.0ms	(exp (* (+ 1.0 eps) x))
7.0ms	(exp (* (+ 1.0 eps) x))
576.0ms	(- (/ (/ (+ 1.0 (/ 1.0 eps)) (exp (* (- 1.0 eps) x))) 2.0) (/ (/ (/ 1.0 eps) (exp (* (+ 1.0 eps) x))) 2.0))

series240.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(exp (* (- 1.0 eps) x))
28.0ms	(exp (* (+ 1.0 eps) x))
29.0ms	(exp (* (+ 1.0 eps) x))
144.0ms	(- (/ (/ (+ 1.0 (/ 1.0 eps)) (exp (* (- 1.0 eps) x))) 2.0) (/ (/ (/ 1.0 eps) (exp (* (+ 1.0 eps) x))) 2.0))

simplify1.2s

Counts: 82 → 82

prune353.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (* x (- 1.0 eps)))
0.0b	(exp (* x (+ eps 1.0)))
0.0b	(exp (* (+ 1.0 eps) x))
2.6b	(- (/ (/ 0.5 eps) (exp (* x (+ eps 1.0)))) (/ (/ 0.5 eps) (exp (* x (- 1.0 eps)))))

rewrite436.0ms

Algorithm

rewrite-expression-head

Rules

62×	`times-frac`
54×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
18×	`add-cube-cbrt`
15×	`distribute-lft-out--`
14×	`add-log-exp`
9×	`difference-of-squares`
6×	`exp-sum`
4×	`pow1` `add-exp-log` `exp-to-pow` `add-cbrt-cube` `div-inv`
3×	`distribute-rgt-in` `sub-neg` `exp-prod` `distribute-lft-in` `rem-exp-log`
1×	`flip3--` `diff-log` `sum-log` `frac-sub` `flip--`

Counts

4 → 74

Calls

4 calls:

15.0ms	(exp (* x (- 1.0 eps)))
10.0ms	(exp (* x (+ eps 1.0)))
12.0ms	(exp (* (+ 1.0 eps) x))
393.0ms	(- (/ (/ 0.5 eps) (exp (* x (+ eps 1.0)))) (/ (/ 0.5 eps) (exp (* x (- 1.0 eps)))))

series189.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(exp (* x (- 1.0 eps)))
13.0ms	(exp (* x (+ eps 1.0)))
25.0ms	(exp (* (+ 1.0 eps) x))
133.0ms	(- (/ (/ 0.5 eps) (exp (* x (+ eps 1.0)))) (/ (/ 0.5 eps) (exp (* x (- 1.0 eps)))))

simplify1.4s

Counts: 86 → 86

prune493.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.5b

regimes93.0ms

Accuracy

0% (0.5b remaining)

Error of 0.9b against oracle of 0.4b and baseline of 0.9b

bsearch0.0ms

simplify891.0ms

end0.0ms

sample8.1s

Algorithm

intervals

Results

2.7s	1908×	body	10240	exit
2.2s	9985×	body	80	valid
1.4s	1674×	body	1280	valid
759.0ms	1270×	body	640	valid
292.0ms	648×	body	320	valid
69.0ms	330×	body	160	valid