Details

Time bar (total: 2.7s)

sample16.0ms

Algorithm
intervals
Results
5.0ms66×body640valid
3.0ms128×body80valid
2.0ms39×body320valid
1.0ms23×body160valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1124
2124
done124

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
2.5b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
28×times-frac
27×add-sqr-sqrt
15×add-cube-cbrt
8×distribute-lft-out--
7×distribute-lft-out
4×add-exp-log associate-/r* add-cbrt-cube add-log-exp difference-of-squares
3×div-inv associate-/l*
2×pow1 associate-/r/
1×cbrt-undiv sub-neg flip3-- frac-2neg flip3-+ diff-log div-exp clear-num frac-sub flip-- flip-+
Counts
2 → 58
Calls
2 calls:
11.0ms
(/ 1.0 (+ x 1.0))
61.0ms
(- (/ 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))

simplify157.0ms

Counts
64 → 64
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0266392
1898369
24185367
35001367
done5001367

prune119.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
1.9b
(- x (+ x 1.0))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
7×*-un-lft-identity add-log-exp
4×cbrt-undiv add-sqr-sqrt div-exp prod-exp cbrt-unprod
2×pow1 add-cube-cbrt flip3-- diff-log associate-*r/ associate-*l/ associate-/r/ flip-- associate-/l/ distribute-lft-out--
1×sub-neg frac-2neg flip3-+ times-frac clear-num associate-/r* sum-log flip-+ div-inv distribute-lft-out associate-/l* associate--r+ difference-of-squares
Counts
2 → 42
Calls
2 calls:
36.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
15.0ms
(- x (+ x 1.0))

series41.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
8.0ms
(- x (+ x 1.0))

simplify46.0ms

Counts
48 → 48
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0322315
11765251
25001242
done5001242

prune78.0ms

Pruning

5 alts after pruning (5 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)))
0.1b
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

rewrite118.0ms

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--
9×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 474
Calls
2 calls:
23.0ms
(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
52.0ms
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

series57.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
34.0ms
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

simplify85.0ms

Counts
480 → 480
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
015825673
150015480
done50015480

prune878.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.3b
(/ 1 (/ (/ (* (+ x 1.0) x) 1.0) (- 0 1.0)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
323×times-frac
171×add-sqr-sqrt *-un-lft-identity
115×add-cube-cbrt
41×associate-/r*
35×add-exp-log
28×distribute-lft-out-- difference-of-squares
25×div-inv
23×div-exp
15×add-cbrt-cube
9×cbrt-undiv associate-/r/
4×rec-exp flip3-- 1-exp flip--
3×prod-exp associate-/l*
2×pow1
1×pow-flip frac-2neg clear-num cbrt-unprod inv-pow add-log-exp
Counts
1 → 196
Calls
1 calls:
37.0ms
(/ 1 (/ (/ (* (+ x 1.0) x) 1.0) (- 0 1.0)))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(/ 1 (/ (/ (* (+ x 1.0) x) 1.0) (- 0 1.0)))

simplify45.0ms

Counts
199 → 199
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
09502399
150012078
done50012078

prune288.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0105
1105
done105

end0.0ms

sample440.0ms

Algorithm
intervals
Results
144.0ms1964×body640valid
83.0ms4216×body80valid
67.0ms1209×body320valid
22.0ms611×body160valid