Details

Time bar (total: 21.2s)

sample82.0ms

Algorithm
intervals
Results
25.0ms55×body640valid
21.0ms129×body80valid
12.0ms39×body320valid
10.0ms19×body1280valid
2.0ms14×body160valid

simplify214.0ms

Counts
1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.2b

localize23.0ms

Local error

Found 4 expressions with local error:

2.9b
(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))
0.0b
(- (/ 1 (+ x 1)) (/ 2 x))
0.0b
(/ 1 (- x 1))
0.0b
(/ 1 (+ x 1))

rewrite322.0ms

Algorithm
rewrite-expression-head
Rules
743×*-un-lft-identity
715×times-frac
544×add-sqr-sqrt
494×add-cube-cbrt
468×prod-diff
236×associate-+l+
99×distribute-lft-out
72×div-inv
58×associate-/r/
29×flip3-+ flip-+
22×distribute-lft-out--
20×difference-of-squares
18×fma-neg
13×fma-def
12×add-exp-log
11×associate-/r* add-log-exp
8×add-cbrt-cube
6×pow1 associate-/l*
4×expm1-log1p-u difference-of-sqr-1 div-exp insert-posit16 log1p-expm1-u
3×flip3-- frac-add flip--
2×cbrt-undiv rec-exp clear-num sum-log sub-neg frac-2neg diff-log 1-exp frac-sub pow-flip inv-pow
1×+-commutative associate-+l-
Counts
4 → 648
Calls
4 calls:
Slowest
210.0ms
(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))
61.0ms
(- (/ 1 (+ x 1)) (/ 2 x))
8.0ms
(/ 1 (- x 1))
8.0ms
(/ 1 (+ x 1))

series199.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
120.0ms
(+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1)))
27.0ms
(- (/ 1 (+ x 1)) (/ 2 x))
27.0ms
(/ 1 (- x 1))
25.0ms
(/ 1 (+ x 1))

simplify1.4s

Counts
660 → 660

prune7.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize42.0ms

Local error

Found 4 expressions with local error:

31.6b
(fma x (+ x 1) (* (- x (* 2 (+ x 1))) (- x 1)))
0.1b
(* (* (+ x 1) x) (- x 1))
0.0b
(* (- x (* 2 (+ x 1))) (- x 1))
0.0b
(/ (fma x (+ x 1) (* (- x (* 2 (+ x 1))) (- x 1))) (* (* (+ x 1) x) (- x 1)))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
39×*-un-lft-identity
36×prod-diff
33×add-cube-cbrt
22×distribute-rgt-in distribute-lft-in
20×add-cbrt-cube add-exp-log
18×associate-*l/
14×associate-*r*
12×frac-times flip3-- flip--
11×pow1
8×associate-/r/
7×prod-exp cbrt-unprod
6×flip3-+ associate-*r/ flip-+
4×expm1-log1p-u sub-neg associate-*l* pow-prod-down insert-posit16 log1p-expm1-u add-log-exp difference-of-squares
3×cbrt-undiv times-frac div-exp associate-/l*
2×difference-of-sqr-1 *-commutative distribute-lft-out--
1×clear-num associate-/r* frac-2neg fma-udef div-inv unswap-sqr
Counts
4 → 155
Calls
4 calls:
Slowest
49.0ms
(* (* (+ x 1) x) (- x 1))
25.0ms
(* (- x (* 2 (+ x 1))) (- x 1))
24.0ms
(/ (fma x (+ x 1) (* (- x (* 2 (+ x 1))) (- x 1))) (* (* (+ x 1) x) (- x 1)))
1.0ms
(fma x (+ x 1) (* (- x (* 2 (+ x 1))) (- x 1)))

series677.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
307.0ms
(/ (fma x (+ x 1) (* (- x (* 2 (+ x 1))) (- x 1))) (* (* (+ x 1) x) (- x 1)))
195.0ms
(fma x (+ x 1) (* (- x (* 2 (+ x 1))) (- x 1)))
149.0ms
(* (* (+ x 1) x) (- x 1))
26.0ms
(* (- x (* 2 (+ x 1))) (- x 1))

simplify1.3s

Counts
167 → 167

prune2.0s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize28.0ms

Local error

Found 3 expressions with local error:

0.5b
(/ 2 (* (* (+ x 1) x) (- x 1)))
0.1b
(* (* (+ x 1) x) (- x 1))
0.0b
(* (+ x 1) x)

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
25×*-un-lft-identity
20×add-cube-cbrt
19×add-cbrt-cube add-exp-log
18×prod-diff associate-*l/
11×distribute-rgt-in distribute-lft-in
10×pow1 associate-*r*
8×frac-times associate-/r/
7×flip3-+ prod-exp cbrt-unprod flip-+
6×flip3-- flip--
5×associate-*l*
4×pow-prod-down associate-*r/
3×expm1-log1p-u cbrt-undiv times-frac div-exp insert-posit16 log1p-expm1-u associate-/l* add-log-exp
2×sub-neg *-commutative difference-of-squares
1×clear-num associate-/r* frac-2neg difference-of-sqr-1 div-inv distribute-lft-out distribute-lft-out-- unswap-sqr
Counts
3 → 113
Calls
3 calls:
Slowest
50.0ms
(* (* (+ x 1) x) (- x 1))
26.0ms
(/ 2 (* (* (+ x 1) x) (- x 1)))
20.0ms
(* (+ x 1) x)

series331.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
156.0ms
(* (* (+ x 1) x) (- x 1))
98.0ms
(/ 2 (* (* (+ x 1) x) (- x 1)))
77.0ms
(* (+ x 1) x)

simplify726.0ms

Counts
122 → 122

prune1.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.7b
(/ (sqrt 2) (/ (* (- (* x x) 1) x) (sqrt 2)))
0.3b
(/ (* (- (* x x) 1) x) (sqrt 2))
0.1b
(* (- (* x x) 1) x)

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
60×sqrt-prod
55×add-sqr-sqrt
53×*-un-lft-identity
52×add-cube-cbrt
19×add-cbrt-cube add-exp-log
16×associate-/r*
9×div-inv
7×cbrt-undiv div-exp associate-/l*
6×associate-*l*
5×pow1
4×associate-*l/
3×expm1-log1p-u associate-*r* prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg flip3-- flip-- difference-of-squares associate-/l/
1×difference-of-sqr-1 pow-prod-down associate-/r/ *-commutative unswap-sqr
Counts
3 → 154
Calls
3 calls:
Slowest
28.0ms
(/ (* (- (* x x) 1) x) (sqrt 2))
25.0ms
(* (- (* x x) 1) x)
23.0ms
(/ (sqrt 2) (/ (* (- (* x x) 1) x) (sqrt 2)))

series558.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
241.0ms
(/ (* (- (* x x) 1) x) (sqrt 2))
199.0ms
(/ (sqrt 2) (/ (* (- (* x x) 1) x) (sqrt 2)))
117.0ms
(* (- (* x x) 1) x)

simplify750.0ms

Counts
163 → 163

prune1.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.2b remaining)

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

bsearch5.0ms

end0.0ms

sample2.5s

Algorithm
intervals
Results
913.0ms4215×body80valid
764.0ms1790×body640valid
358.0ms964×body320valid
288.0ms543×body1280valid
110.0ms491×body160valid