Details

Time bar (total: 11.2s)

sample18.0ms

Algorithm
intervals
Results
6.0ms69×body640valid
3.0ms51×body320valid
3.0ms120×body80valid
1.0ms16×body160valid

simplify14.0ms

Counts
1 → 1

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.8b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
4.3b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
28×times-frac
27×add-sqr-sqrt
15×add-cube-cbrt
distribute-lft-out--
distribute-lft-out
add-exp-log associate-/r* add-cbrt-cube add-log-exp difference-of-squares
div-inv associate-/l*
pow1 associate-/r/
cbrt-undiv sub-neg flip3-- frac-2neg flip3-+ diff-log div-exp clear-num frac-sub flip-- flip-+
Counts
2 → 58
Calls
2 calls:
10.0ms
(/ 1.0 (+ x 1.0))
60.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series80.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ 1.0 (+ x 1.0))
56.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify947.0ms

Counts
64 → 64

prune110.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x 1.0) x)
0.0b
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
4.1b
(- x (+ x 1.0))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-cbrt-cube
12×*-un-lft-identity
add-sqr-sqrt
add-log-exp
pow1 add-cube-cbrt prod-exp cbrt-unprod
cbrt-undiv div-exp associate-*l* associate-*l/
associate-*r*
flip3-- flip3-+ diff-log associate-*r/ associate-/r/ flip-- flip-+ associate-/l/ distribute-lft-out distribute-lft-out--
sub-neg frac-2neg times-frac pow-prod-down clear-num associate-/r* sum-log *-commutative div-inv associate-/l* associate--r+ difference-of-squares unswap-sqr
Counts
3 → 63
Calls
3 calls:
18.0ms
(* (+ x 1.0) x)
33.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
14.0ms
(- x (+ x 1.0))

series84.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(* (+ x 1.0) x)
36.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
7.0ms
(- x (+ x 1.0))

simplify603.0ms

Counts
72 → 72

prune102.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
0.0b
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
959×times-frac
669×*-un-lft-identity
509×add-sqr-sqrt
381×add-cube-cbrt
86×associate-/l*
80×distribute-lft-out
64×distribute-lft-out-- difference-of-squares
37×associate-/r/
29×associate-/r*
22×div-inv
16×add-exp-log flip3-- add-cbrt-cube flip--
cbrt-undiv div-exp
pow1 frac-2neg clear-num add-log-exp
associate-/l/
Counts
2 → 474
Calls
2 calls:
23.0ms
(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
48.0ms
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

series63.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
40.0ms
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

simplify589.0ms

Counts
480 → 480

prune819.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ x 1.0) x)
0.4b
(/ (* 1.0 (* 1 (- 0 1.0))) (* (+ x 1.0) x))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
25×add-cbrt-cube
15×prod-exp
10×cbrt-unprod
div-exp
cbrt-undiv add-sqr-sqrt *-un-lft-identity
pow1 add-cube-cbrt associate-*r/ associate-*l* associate-*l/
associate-*r*
flip3-+ 1-exp associate-/r/ distribute-rgt-neg-out flip-+ associate-/l/ add-log-exp
flip3-- frac-2neg times-frac sub0-neg distribute-frac-neg pow-prod-down clear-num associate-/r* *-commutative flip-- div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 53
Calls
2 calls:
19.0ms
(* (+ x 1.0) x)
42.0ms
(/ (* 1.0 (* 1 (- 0 1.0))) (* (+ x 1.0) x))

series81.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(* (+ x 1.0) x)
39.0ms
(/ (* 1.0 (* 1 (- 0 1.0))) (* (+ x 1.0) x))

simplify786.0ms

Counts
59 → 59

prune78.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify5.9s

end0.0ms

sample582.0ms

Algorithm
intervals
Results
182.0ms1929×body640valid
130.0ms4239×body80valid
129.0ms1209×body320valid
26.0ms624×body160valid