Details

Time bar (total: 9.4s)

sample80.0ms

Algorithm
intervals
Results
36.0ms77×body1280valid
14.0ms45×body640valid
11.0ms171×body80valid
6.0ms29×body320valid
2.0ms15×body160valid

simplify27.0ms

Counts
1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.8b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

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
35.0ms
(/ (- (exp x) 1) x)
9.0ms
(- (exp x) 1)

series69.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
53.0ms
(/ (- (exp x) 1) x)
16.0ms
(- (exp x) 1)

simplify973.0ms

Counts
70 → 70

prune583.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
6×pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-exp-log add-cube-cbrt
2×pow-prod-down prod-exp associate-*r/ *-commutative cbrt-unprod insert-posit16 add-log-exp unswap-sqr
1×distribute-rgt-in distribute-lft-in flip3-+ flip-+
Counts
2 → 42
Calls
2 calls:
Slowest
21.0ms
(* x (+ 1/2 (* 1/6 x)))
10.0ms
(* 1/6 x)

series113.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
87.0ms
(* x (+ 1/2 (* 1/6 x)))
25.0ms
(* 1/6 x)

simplify863.0ms

Counts
48 → 48

prune349.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
17×*-un-lft-identity
13×associate-*r*
11×times-frac add-exp-log
10×add-cube-cbrt
7×add-cbrt-cube associate-*l*
4×pow1 prod-exp add-log-exp difference-of-squares
3×flip3-- flip-- unswap-sqr
2×frac-times difference-of-sqr-1 div-exp associate-*l/ cbrt-unprod insert-posit16 distribute-lft-out--
1×cbrt-undiv rec-exp sub-neg diff-log 1-exp pow-prod-down associate-*r/ un-div-inv *-commutative div-inv
Counts
2 → 62
Calls
2 calls:
Slowest
36.0ms
(* (- (exp x) 1) (/ 1 x))
11.0ms
(- (exp x) 1)

series74.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
49.0ms
(* (- (exp x) 1) (/ 1 x))
25.0ms
(- (exp x) 1)

simplify951.0ms

Counts
68 → 68

prune490.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite47.0ms

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
31.0ms
(/ (- (exp x) 1) x)
16.0ms
(- (exp x) 1)

series71.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
52.0ms
(/ (- (exp x) 1) x)
18.0ms
(- (exp x) 1)

simplify1.1s

Counts
70 → 70

prune470.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes63.0ms

Accuracy

99% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 21.4b

bsearch69.0ms

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.1s2314×body1280valid
923.0ms1612×body640valid
407.0ms5516×body80valid
183.0ms798×body320valid
53.0ms423×body160valid