Details

Time bar (total: 22.3s)

sample69.0ms

Algorithm
intervals
Results
34.0ms85×body1280valid
12.0ms41×body640valid
8.0ms151×body80valid
4.0ms24×body320valid
1.0ms12×body160valid

simplify20.0ms

Counts
1 → 1
Iterations
IterNodes
416
316
214
111
05

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- (exp x) 1) x)
3.7b
(- (exp x) 1)

rewrite38.0ms

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:
28.0ms
(/ (- (exp x) 1) x)
8.0ms
(- (exp x) 1)

series67.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ (- (exp x) 1) x)
25.0ms
(- (exp x) 1)

simplify2.7s

Counts
70 → 70
Iterations
IterNodes
44417
31393
2512
1232
0108

prune355.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

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:
28.0ms
(* x (+ (* 1/6 x) 1/2))
5.0ms
(* 1/6 x)

series148.0ms

Counts
2 → 6
Calls
2 calls:
115.0ms
(* x (+ (* 1/6 x) 1/2))
33.0ms
(* 1/6 x)

simplify5.5s

Counts
48 → 48
Iterations
IterNodes
47450
31901
2511
1186
072

prune301.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ (exp (* x 3)) -1) (+ (* (exp x) (+ 1 (exp x))) 1))
0.0b
(/ (/ (+ (exp (* x 3)) -1) (+ (* (exp x) (+ 1 (exp x))) 1)) x)
0.0b
(exp (* x 3))
3.6b
(+ (exp (* x 3)) -1)

rewrite173.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
106×*-un-lft-identity
89×add-sqr-sqrt
72×add-cube-cbrt
26×associate-/l*
17×difference-of-sqr--1 distribute-lft-out
11×add-cbrt-cube add-exp-log
10×associate-/r/
8×add-log-exp
7×flip3-+ flip-+
6×associate-/r* div-inv
4×pow1 cbrt-undiv div-exp insert-posit16
3×associate-/l/
2×clear-num frac-2neg
1×+-commutative exp-lft-cube exp-prod sum-log exp-to-pow rem-exp-log
Counts
4 → 169
Calls
4 calls:
57.0ms
(/ (+ (exp (* x 3)) -1) (+ (* (exp x) (+ 1 (exp x))) 1))
87.0ms
(/ (/ (+ (exp (* x 3)) -1) (+ (* (exp x) (+ 1 (exp x))) 1)) x)
8.0ms
(exp (* x 3))
18.0ms
(+ (exp (* x 3)) -1)

series239.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(/ (+ (exp (* x 3)) -1) (+ (* (exp x) (+ 1 (exp x))) 1))
134.0ms
(/ (/ (+ (exp (* x 3)) -1) (+ (* (exp x) (+ 1 (exp x))) 1)) x)
11.0ms
(exp (* x 3))
18.0ms
(+ (exp (* x 3)) -1)

simplify6.4s

Counts
181 → 181
Iterations
IterNodes
35988
21868
1653
0273

prune1.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize55.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (* x 3))
0.0b
(exp (* x 3))
0.2b
(* 3 (+ (+ x x) x))
3.6b
(+ -1 (exp (* 3 (+ (+ x x) x))))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
14×add-sqr-sqrt associate-*r*
10×add-log-exp
9×add-cube-cbrt distribute-lft-out
6×pow1 add-cbrt-cube add-exp-log
5×distribute-lft1-in
4×distribute-rgt-out insert-posit16
3×associate-*l*
2×exp-lft-cube exp-prod flip3-+ exp-to-pow count-2 distribute-rgt1-in associate-*r/ flip-+ rem-exp-log
1×distribute-rgt-in +-commutative sum-log distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 71
Calls
4 calls:
4.0ms
(exp (* x 3))
4.0ms
(exp (* x 3))
76.0ms
(* 3 (+ (+ x x) x))
5.0ms
(+ -1 (exp (* 3 (+ (+ x x) x))))

series77.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(exp (* x 3))
11.0ms
(exp (* x 3))
30.0ms
(* 3 (+ (+ x x) x))
23.0ms
(+ -1 (exp (* 3 (+ (+ x x) x))))

simplify1.2s

Counts
83 → 83
Iterations
IterNodes
32629
2735
1270
0105

prune702.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes46.0ms

Accuracy

99.1% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.1b

bsearch76.0ms

Steps
ItersRangePoint
9
-0.006947246361207331
-8.844641103238917e-12
-9.238900741085779e-05

simplify18.0ms

Iterations
IterNodes
248
148
034

end0.0ms

sample2.7s

Algorithm
intervals
Results
955.0ms2305×body1280valid
792.0ms5351×body80valid
509.0ms1617×body640valid
177.0ms823×body320valid
72.0ms430×body160valid