Details

Time bar (total: 13.9s)

sample60.0ms

Algorithm
intervals
Results
22.0ms61×body640valid
13.0ms45×body320valid
12.0ms130×body80valid
3.0ms20×body160valid

simplify13.0ms

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.0b

localize41.0ms

Local error

Found 3 expressions with local error:

3.4b
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
0.0b
(/ 1 (- x 1))
0.0b
(/ 1 (+ x 1))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
98×*-un-lft-identity
72×add-sqr-sqrt
69×times-frac
32×add-cube-cbrt
27×distribute-lft-out--
17×difference-of-squares
11×associate-/r* add-exp-log
10×distribute-lft-out
7×add-cbrt-cube
6×associate-/r/ div-inv associate-/l*
5×pow1 add-log-exp
4×difference-of-sqr-1 div-exp
3×insert-posit16 flip--
2×cbrt-undiv rec-exp clear-num frac-2neg flip3-- 1-exp flip-+ pow-flip inv-pow
1×sub-neg flip3-+ diff-log frac-sub
Counts
3 → 128
Calls
3 calls:
Slowest
42.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
20.0ms
(/ 1 (- x 1))
15.0ms
(/ 1 (+ x 1))

series118.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
79.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
25.0ms
(/ 1 (- x 1))
14.0ms
(/ 1 (+ x 1))

simplify944.0ms

Counts
137 → 137

prune1.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 2 expressions with local error:

2.7b
(- (- x 1) (+ x 1))
0.1b
(/ 1 (- (* x x) (* 1 1)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
14×add-log-exp
13×add-sqr-sqrt
12×times-frac
11×add-cube-cbrt
6×diff-log add-exp-log distribute-lft-out--
5×difference-of-squares
4×associate-/r* flip3-- add-cbrt-cube frac-sub flip--
3×pow1 associate-/l*
2×sum-log sub-neg flip3-+ div-exp associate--l+ associate-/r/ flip-+ insert-posit16 distribute-lft-out
1×associate--l- cbrt-undiv rec-exp clear-num frac-2neg 1-exp div-inv pow-flip associate--r+ inv-pow
Counts
2 → 67
Calls
2 calls:
Slowest
48.0ms
(- (- x 1) (+ x 1))
25.0ms
(/ 1 (- (* x x) (* 1 1)))

series47.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
40.0ms
(/ 1 (- (* x x) (* 1 1)))
7.0ms
(- (- x 1) (+ x 1))

simplify1.7s

Counts
73 → 73

prune527.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
26×times-frac
21×*-un-lft-identity
20×add-cube-cbrt
18×associate-*l*
15×add-exp-log
9×add-cbrt-cube
7×difference-of-squares
5×pow1
4×associate-/r* div-exp prod-exp associate-/r/
3×associate-*r* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp flip3-- 1-exp cbrt-unprod insert-posit16 div-inv flip-- add-log-exp
1×clear-num frac-2neg pow-prod-down associate-*l/ *-commutative pow-flip inv-pow
Counts
2 → 79
Calls
2 calls:
Slowest
47.0ms
(* (/ 1 (- (* x x) (* 1 1))) -2)
16.0ms
(/ 1 (- (* x x) (* 1 1)))

series80.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
45.0ms
(* (/ 1 (- (* x x) (* 1 1))) -2)
35.0ms
(/ 1 (- (* x x) (* 1 1)))

simplify989.0ms

Counts
85 → 85

prune695.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

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

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
449×times-frac
381×*-un-lft-identity
331×add-sqr-sqrt
171×add-cube-cbrt
132×associate-*l*
74×difference-of-squares
49×distribute-lft-out
37×difference-of-sqr-1 distribute-lft-out--
36×associate-/r/
31×add-exp-log
21×associate-/l*
19×add-cbrt-cube
18×div-inv
16×flip3-+ flip-+
14×div-exp
11×associate-/r*
7×cbrt-undiv
6×pow1
5×prod-exp
4×unswap-sqr
3×rec-exp 1-exp associate-*r* cbrt-unprod insert-posit16 add-log-exp
2×clear-num frac-2neg flip3-- flip--
1×pow-prod-down associate-*l/ *-commutative pow-flip inv-pow associate-/l/
Counts
3 → 367
Calls
3 calls:
Slowest
37.0ms
(* (/ (/ 1 (+ x 1)) (- x 1)) -2)
17.0ms
(/ (/ 1 (+ x 1)) (- x 1))
8.0ms
(/ 1 (+ x 1))

series137.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
68.0ms
(/ (/ 1 (+ x 1)) (- x 1))
53.0ms
(* (/ (/ 1 (+ x 1)) (- x 1)) -2)
15.0ms
(/ 1 (+ x 1))

simplify1.4s

Counts
376 → 376

prune3.8s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes57.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch2.0ms

end0.0ms

sample1.9s

Algorithm
intervals
Results
682.0ms1843×body640valid
588.0ms1248×body320valid
386.0ms4271×body80valid
155.0ms638×body160valid