Details

Time bar (total: 3.3s)

sample19.0ms

Algorithm
intervals
Results
6.0ms58×body640valid
3.0ms139×body80valid
2.0ms39×body320valid
1.0ms20×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: 14.4b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
2.1b
(- (/ 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
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))
59.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series82.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ 1.0 (+ x 1.0))
57.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify153.0ms

Counts
64 → 64
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0266392
1898369
24185367
35001367
done5001367

prune110.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.4b

localize6.0ms

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))
1.5b
(- x (+ x 1.0))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-cbrt-cube
12×*-un-lft-identity
9×add-sqr-sqrt
8×add-log-exp
5×pow1 add-cube-cbrt prod-exp cbrt-unprod
4×cbrt-undiv div-exp associate-*l* associate-*l/
3×associate-*r*
2×flip3-- flip3-+ diff-log associate-*r/ associate-/r/ flip-- flip-+ associate-/l/ distribute-lft-out distribute-lft-out--
1×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:
20.0ms
(* (+ x 1.0) x)
33.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
18.0ms
(- x (+ x 1.0))

series90.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(* (+ x 1.0) x)
34.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
8.0ms
(- x (+ x 1.0))

simplify56.0ms

Counts
72 → 72
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0345395
12045325
25003316
done5003316

prune114.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

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:
22.0ms
(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
53.0ms
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

series65.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ 1.0 (/ (+ x 1.0) (- 0 1.0)))
35.0ms
(/ (/ 1.0 (/ (+ x 1.0) (- 0 1.0))) x)

simplify79.0ms

Counts
480 → 480
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
015825707
150015506
done50015506

prune866.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.3b
(cbrt (+ x 1.0))
0.3b
(cbrt (+ x 1.0))
0.3b
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
4.0ms
(cbrt (+ x 1.0))
4.0ms
(cbrt (+ x 1.0))
4.0ms
(cbrt (+ x 1.0))
36.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

series371.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(cbrt (+ x 1.0))
83.0ms
(cbrt (+ x 1.0))
89.0ms
(cbrt (+ x 1.0))
109.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

simplify156.0ms

Counts
107 → 107
Iterations

Useful iterations: 3 (141.0ms)

IterNodesCost
0306792
11002747
24420669
35003665
done5003665

prune357.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes18.0ms

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

sample433.0ms

Algorithm
intervals
Results
140.0ms1894×body640valid
80.0ms4160×body80valid
68.0ms1294×body320valid
27.0ms652×body160valid